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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Matthew, Elizabeth, Riley, and Noah. Logan said, \"(if Noah is a knight then Matthew is a knight) or (Logan is a knight or Elizabeth is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"lying\...
{"split": "train", "index": 9900}
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: Scarlett, Matthew, Aria, Charlotte, and Mia. Scarlett said, \"it is not the case that (Mia is a sage if and only if Scarlett is a sage).\" In Matthew's wor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]...
{"split": "train", "index": 9901}
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: Jack, Matthew, Zoey, Charlotte, and Victoria. Jack remarked, \"if (Zoey is a knave) then (Matthew is a knave and Zoey is a knave and Zoey is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [...
{"split": "train", "index": 9902}
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: Owen, Aiden, James, Evelyn, and Matthew. Owen said, \"(Aiden is an egoist) and Evelyn is an altruist and Matthew is an egoist.\" Aiden was hear...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"lying\", 3]], [\"lying\", 0], [\"<=>\", [\"and\", [\"...
{"split": "train", "index": 9903}
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: Ava, Logan, Amelia, Harper, and Liam. According to Ava, \"(Harper is an egoist and Harper is an altruist) and (if Harper is an altruist then Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"o...
{"split": "train", "index": 9904}
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: William, Henry, Grace, Luke, and Benjamin. As William put it, \"if (if Grace is a sage then Benjamin is a fool) then (Grace is a fool if and only if Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"or\", [\"<=>\", [\"lying\", 3], [...
{"split": "train", "index": 9905}
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: Samuel, Liam, Ella, Luke, and William. Samuel noted, \"Luke is an altruist\". As Liam put it, \"if (Liam is an altruist if and only if Luke is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"tel...
{"split": "train", "index": 9906}
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: Sebastian, Oliver, Charlotte, Joseph, and Ella. \"(if Joseph is a pioneer then Charlotte is a laggard) and (Ella is a pioneer and Joseph is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 1]]], [...
{"split": "train", "index": 9907}
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: Ava, Jack, Joseph, Grace, and Luke. Ava remarked, \"it is not the case that (if Luke is a knave then Jack is a knight)\". Jack said, \"(Grace is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]]...
{"split": "train", "index": 9908}
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, Alexander, Evelyn, William, and Olivia. \"Chloe is a knight\" - Chloe. In Alexander's words: \"William is a knave\". In Evelyn's words: \"(Chl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"telling-truth\", 0], [\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]],...
{"split": "train", "index": 9909}
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: Emma, Avery, Victoria, Ethan, and Sophia. \"Victoria is an angel and Avery is a devil and Sophia is an angel,\" Emma mentioned. Avery remarked, \"Sophi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 2], ...
{"split": "train", "index": 9910}
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, Noah, Riley, David, and Isabella. According to Michael, \"(Riley is a villain or Noah is a hero or David is a hero) and Isabella is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"telling-truth\", 2]], [\"telling-truth\", 2], [\...
{"split": "train", "index": 9911}
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, Henry, Isabella, Sophia, and Jack. James was heard saying, \"(Jack is a devil and James is an angel and Henry is a devil) and (Isabella is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1022, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"->\", [\...
{"split": "train", "index": 9912}
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: Joseph, Grace, Elizabeth, Liam, and Jackson. Joseph was heard saying, \"it is not the case that (Grace is a hero or Elizabeth is a hero)\". Grace sta...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1023, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"telling-t...
{"split": "train", "index": 9913}
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: Grace, Penelope, Joseph, Alexander, and Ella. Grace noted, \"(Penelope is a pioneer) or (Joseph is a pioneer) or (Ella is a laggard or Joseph i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1024, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-trut...
{"split": "train", "index": 9914}
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: Aria, William, Amelia, Jacob, and Victoria. Aria told you that Amelia is an angel or (if Amelia is a devil then William is an angel) or (Jacob is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1025, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"tellin...
{"split": "train", "index": 9915}
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: Emma, Victoria, Noah, Charlotte, and Avery. Emma noted, \"(if Charlotte is a fool then Avery is a sage) and (Victoria is a fool if and only if Emma is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1026, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"<=>\", [...
{"split": "train", "index": 9916}
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: Mason, Jacob, Victoria, Liam, and James. Mason expressed that Victoria is a knave and (Liam is a knight or Liam is a knave or James is a knight) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1027, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth...
{"split": "train", "index": 9917}
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, Joseph, Harper, Ethan, and Riley. In a statement by Sebastian: \"it is not the case that (if Joseph is a sage then Riley is a sage)\". \"Harper ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1028, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 0]], [\"not\", [\"->\", [\"telling-truth\",...
{"split": "train", "index": 9918}
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: Lucas, Abigail, Emily, Elizabeth, and Penelope. In a statement by Lucas: \"(Elizabeth is a laggard or Penelope is a laggard) and (Abigail is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1029, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"lying\", 2]], [\"->\", [\"or\", [\"t...
{"split": "train", "index": 9919}
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: James, Aria, Penelope, Ethan, and Amelia. James was heard saying, \"if (Ethan is a pioneer if and only if Ethan is a laggard) then (if Penelope...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1030, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\...
{"split": "train", "index": 9920}
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: Elizabeth, Sebastian, Aiden, Luke, and Lucas. \"it is not the case that (if Lucas is an altruist then Aiden is an altruist)\" - Elizabeth. Seba...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1031, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]]...
{"split": "train", "index": 9921}
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: Avery, David, Joseph, Benjamin, and Jack. Avery said, \"it is not the case that (Jack is an angel or Joseph is a devil or Benjamin is an angel).\" Davi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1032, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 4], [\"lyin...
{"split": "train", "index": 9922}
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: Olivia, William, Avery, Logan, and Noah. \"(Avery is a knave) if and only if Logan is a knave,\" Olivia claimed. William was heard saying, \"if (Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1033, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 3]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\...
{"split": "train", "index": 9923}
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: William, Lucas, Lily, Jacob, and Ethan. William stated, \"if Jacob is a devil then (Ethan is a devil if and only if Lucas is an angel)\". Lucas express...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1034, \"statements\": [[\"->\", [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\",...
{"split": "train", "index": 9924}
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: Evelyn, Victoria, Ella, Aria, and Owen. According to Evelyn, \"(Ella is a fool) or (Ella is a sage)\". \"it is not the case that (Ella is a fool)\" - Victo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1035, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth...
{"split": "train", "index": 9925}
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: Chloe, Aiden, Henry, Grace, and Daniel. Chloe noted, \"(Grace is a sinner or Chloe is a saint or Daniel is a sinner) and (Aiden is a sinner or Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1036, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [...
{"split": "train", "index": 9926}
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: Scarlett, Riley, Mia, Mason, and Charlotte. \"it is not the case that (Mason is a knight if and only if Riley is a knight),\" Scarlett claimed. Riley...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1037, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or...
{"split": "train", "index": 9927}
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: Sophia, Benjamin, Sebastian, Liam, and Grace. Sophia noted, \"if (Grace is an egoist if and only if Sebastian is an egoist) then (Grace is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1038, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"a...
{"split": "train", "index": 9928}
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: Noah, Sebastian, Amelia, Grace, and James. Noah told you that it is not the case that (Sebastian is a knight). Sebastian noted, \"(Grace is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1039, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 0]], [\"not\...
{"split": "train", "index": 9929}
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: Sebastian, Isabella, Samuel, Evelyn, and Benjamin. Sebastian commented, \"(Benjamin is an angel or Benjamin is a devil or Sebastian is an angel) or (Be...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1040, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\...
{"split": "train", "index": 9930}
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, Aurora, Zoey, Scarlett, and Lucas. \"if (Scarlett is an altruist or Emma is an altruist) then (Aurora is an altruist if and only if Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1041, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and...
{"split": "train", "index": 9931}
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: Mia, Alexander, Riley, Emily, and Michael. \"it is not the case that (if Alexander is a saint then Riley is a saint),\" Mia mentioned. \"it is not th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1042, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-tru...
{"split": "train", "index": 9932}
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, Emily, Luke, James, and Ella. In a statement by Jack: \"(Jack is a saint or Emily is a saint or James is a saint) if and only if (if Luke is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1043, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"tellin...
{"split": "train", "index": 9933}
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: Owen, James, Jacob, Lucas, and Victoria. Owen said, \"if Victoria is a saint then Jacob is a sinner.\" James said, \"if (Victoria is a saint and Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1044, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 4]...
{"split": "train", "index": 9934}
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: Daniel, Elizabeth, Henry, Isabella, and James. Daniel stated, \"it is not the case that (if Henry is a laggard then James is a laggard)\". \"Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1045, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 0], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", ...
{"split": "train", "index": 9935}
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: Sofia, Isabella, Olivia, Matthew, and Riley. \"it is not the case that (Isabella is a sinner and Riley is a saint)\" - Sofia. Isabella stated, \"Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1046, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-t...
{"split": "train", "index": 9936}
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: Alexander, Jack, Liam, Jacob, and Joseph. Alexander commented, \"(if Joseph is an altruist then Jacob is an altruist) or Joseph is an egoist or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1047, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"...
{"split": "train", "index": 9937}
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: Penelope, Emma, Alexander, Michael, and Aurora. As Penelope put it, \"(Aurora is a pioneer or Emma is a pioneer) if and only if (Emma is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1048, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\...
{"split": "train", "index": 9938}
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, Lily, Aria, Luke, and Olivia. Samuel noted, \"it is not the case that (Aria is a devil or Luke is an angel or Lily is a devil)\". In Lily's wor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1049, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"telling-trut...
{"split": "train", "index": 9939}
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: Luke, Olivia, Victoria, Charlotte, and Sebastian. \"Sebastian is a fool,\" Luke claimed. Olivia said that (Charlotte is a sage and Victoria is a sage and L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1050, \"statements\": [[\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"lying\", 1], [\"and\", [\"and\", [\"tel...
{"split": "train", "index": 9940}
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, Owen, Ava, Jacob, and Logan. Isabella stated, \"it is not the case that (Owen is an altruist)\". Owen said that (Isabella is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1051, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"telling-t...
{"split": "train", "index": 9941}
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, Isabella, Grace, James, and Ella. Chloe remarked, \"if (James is a knight) then (Isabella is a knave or Isabella is a knight or James is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1052, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"tel...
{"split": "train", "index": 9942}
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, Alexander, Grace, Riley, and Olivia. Harper remarked, \"it is not the case that (Harper is a fool)\". Alexander said that Grace is a sage. Accordin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1053, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 0], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 2]...
{"split": "train", "index": 9943}
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: Alexander, Oliver, Grace, Owen, and Olivia. Alexander noted, \"(if Olivia is a knave then Oliver is a knight) if and only if (Oliver is a knave)\". O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1054, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-tru...
{"split": "train", "index": 9944}
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: Abigail, David, Henry, Charlotte, and Sofia. \"Henry is a villain,\" Abigail claimed. David told you that (Henry is a villain and Sofia is a hero and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1055, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 4], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telli...
{"split": "train", "index": 9945}
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: Liam, Lily, Victoria, Jackson, and Ella. Liam stated, \"Victoria is a sinner\". According to Lily, \"(Lily is a sinner) and (Liam is a saint if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1056, \"statements\": [[\"lying\", 2], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\...
{"split": "train", "index": 9946}
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, Evelyn, Jackson, Isabella, and Aiden. As Lucas put it, \"(Isabella is a sage) and (Evelyn is a fool if and only if Evelyn is a sage)\". As Evelyn pu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1057, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"l...
{"split": "train", "index": 9947}
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, Oliver, David, Benjamin, and Ethan. Elizabeth said that Oliver is a villain. \"Ethan is a hero and (David is a hero or Benjamin is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1058, \"statements\": [[\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 2]]], [\"telling-truth\", 0], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [...
{"split": "train", "index": 9948}
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: David, Olivia, Amelia, Ethan, and Liam. David noted, \"(if Liam is a laggard then Olivia is a laggard) or Amelia is a pioneer\". Olivia asserte...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1059, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\"...
{"split": "train", "index": 9949}
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: Jackson, Ava, Harper, Lily, and Alexander. Jackson noted, \"(Lily is a hero if and only if Lily is a villain) or (Harper is a villain or Harper is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1060, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]]], [\...
{"split": "train", "index": 9950}
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: William, Aiden, Daniel, Owen, and Sophia. William noted, \"if (Aiden is a sage) then (Sophia is a sage)\". Aiden was heard saying, \"if (Aiden is a sage or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1061, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"te...
{"split": "train", "index": 9951}
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, Oliver, William, Amelia, and Benjamin. Lucas was heard saying, \"it is not the case that (William is a sage and Amelia is a fool)\". In Oliver's wor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1062, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"telling-truth\", 0], [\"and\", [\"lying\", 3], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying\", 4], [\"or\", [\"lying\", 0]...
{"split": "train", "index": 9952}
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: Aiden, Lily, Owen, Jackson, and Emma. Aiden asserted: \"(Jackson is a saint) and (Aiden is a saint and Emma is a saint)\". \"(Jackson is a saint if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1063, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 0...
{"split": "train", "index": 9953}
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: Zoey, Victoria, Henry, Jack, and Mia. Zoey commented, \"Jack is a sinner\". \"if (Jack is a sinner if and only if Zoey is a saint) then (Mia is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1064, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"<=>\", [\"l...
{"split": "train", "index": 9954}
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: Ethan, David, Luke, Riley, and Mason. Ethan expressed that (if Riley is a knave then Riley is a knight) or (Mason is a knave). David told you that if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1065, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"or\", [\"tellin...
{"split": "train", "index": 9955}
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: Elizabeth, David, Daniel, James, and Riley. \"(Riley is a saint or David is a saint or James is a saint) and James is a saint and (Riley is a saint a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"...
{"split": "train", "index": 9956}
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: Emma, Sebastian, Isabella, David, and James. As Emma put it, \"(David is a laggard if and only if Isabella is a pioneer) and (James is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 9957}
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, Riley, Mason, Zoey, and Scarlett. In a statement by Matthew: \"if Zoey is a pioneer then Riley is a pioneer\". \"(Mason is a laggard i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\...
{"split": "train", "index": 9958}
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: Matthew, Logan, Liam, Jackson, and Joseph. Matthew told you that it is not the case that (Jackson is an altruist or Logan is an altruist or Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\...
{"split": "train", "index": 9959}
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: Sebastian, Mia, Liam, Sofia, and Matthew. Sebastian commented, \"(if Mia is an egoist then Liam is an egoist) or (Liam is an altruist or Sebast...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"lying\", 3...
{"split": "train", "index": 9960}
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: Emily, Oliver, Matthew, Benjamin, and Luke. \"if (Matthew is an egoist) then (if Benjamin is an altruist then Oliver is an egoist)\" - Emily. O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"...
{"split": "train", "index": 9961}
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: Elizabeth, Chloe, Owen, Benjamin, and Scarlett. In a statement by Elizabeth: \"(Owen is an angel if and only if Chloe is a devil) and (Scarlett is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"tell...
{"split": "train", "index": 9962}
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, Joseph, Noah, Ava, and James. David told you that it is not the case that (James is an angel or Noah is a devil or Joseph is an angel). Joseph s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 1], [\"and\", [\"telling-truth...
{"split": "train", "index": 9963}
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: Aiden, Henry, Samuel, David, and Riley. As Aiden put it, \"Samuel is a saint\". Henry said that (Aiden is a saint if and only if Samuel is a saint) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]],...
{"split": "train", "index": 9964}
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: Victoria, William, Liam, Sophia, and Penelope. Victoria asserted: \"William is an angel\". William was heard saying, \"Sophia is a devil\". Liam commen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"telling-truth\", 1], [\"lying\", 3], [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 2]...
{"split": "train", "index": 9965}
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: William, Jackson, Lucas, Mia, and David. In William's words: \"(Mia is a sage) if and only if (if David is a fool then Lucas is a fool)\". Jackson stated, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-tru...
{"split": "train", "index": 9966}
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, Harper, Grace, Henry, and James. Luke asserted: \"if James is a pioneer then (Harper is a laggard)\". According to Harper, \"it is not th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\...
{"split": "train", "index": 9967}
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: Samuel, Ella, Aiden, Lily, and Owen. According to Samuel, \"Ella is a villain\". Ella said that (Samuel is a hero or Samuel is a villain or Lily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\...
{"split": "train", "index": 9968}
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: Elizabeth, Jackson, Amelia, Victoria, and Owen. Elizabeth stated, \"(Amelia is a fool) or (if Victoria is a fool then Amelia is a sage) or (if Jackson is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]...
{"split": "train", "index": 9969}
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, Harper, Aurora, Aiden, and Scarlett. Sofia remarked, \"(Aurora is a sage if and only if Harper is a fool) or (Scarlett is a fool if and only if Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 2], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 3]...
{"split": "train", "index": 9970}
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: Sebastian, Ella, Avery, Isabella, and Lucas. Sebastian stated, \"if Lucas is a devil then Avery is a devil\". Ella commented, \"Lucas is a devil and (S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"->\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 0]], [\"lying\", 3]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 0], [...
{"split": "train", "index": 9971}
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, Aria, Benjamin, Ava, and William. In a statement by Elizabeth: \"it is not the case that (Benjamin is a villain if and only if Benjamin is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", ...
{"split": "train", "index": 9972}
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: Isabella, Penelope, Sebastian, Olivia, and Sophia. According to Isabella, \"(Olivia is an angel and Olivia is a devil) and (Penelope is an angel if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"->...
{"split": "train", "index": 9973}
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, Samuel, Ava, Luke, and Chloe. Jack stated, \"(Luke is an angel or Jack is an angel) if and only if (Ava is an angel or Samuel is a devil)\". Samu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-trut...
{"split": "train", "index": 9974}
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: Emma, David, Michael, Amelia, and Riley. In a statement by Emma: \"it is not the case that (Emma is an angel and David is a devil)\". David said that i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 0], [\"or\", [\"not...
{"split": "train", "index": 9975}
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: Avery, Logan, Penelope, Sofia, and Aria. In a statement by Avery: \"if (if Logan is a knight then Sofia is a knight) then (Logan is a knave or Sofia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], ...
{"split": "train", "index": 9976}
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: Scarlett, Liam, William, Luke, and Alexander. In Scarlett's words: \"(Alexander is a fool) and Luke is a fool\". Liam noted, \"it is not the case that (Luk...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 3]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-t...
{"split": "train", "index": 9977}
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, Daniel, Evelyn, Jackson, and Aurora. \"(if Jackson is a laggard then Evelyn is a laggard) and Daniel is a pioneer,\" Oliver mentioned. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"l...
{"split": "train", "index": 9978}
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: Sofia, Owen, Matthew, Michael, and Olivia. \"(if Matthew is a hero then Olivia is a villain) or (Michael is a villain) or (Matthew is a hero),\" Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\",...
{"split": "train", "index": 9979}
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: Mia, Ethan, Jacob, Henry, and Alexander. Mia told you that Alexander is a hero. As Ethan put it, \"if (Alexander is a hero if and only if Mia is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 0], [\"->\", [\"->\", [...
{"split": "train", "index": 9980}
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: Henry, Elizabeth, Alexander, James, and Sofia. Henry expressed that it is not the case that (Sofia is a pioneer). Elizabeth expressed that it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\...
{"split": "train", "index": 9981}
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: Ella, Charlotte, Michael, Chloe, and Oliver. In a statement by Ella: \"if Chloe is a laggard then (if Chloe is a pioneer then Ella is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\",...
{"split": "train", "index": 9982}
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: Emily, Sophia, Jack, Matthew, and Oliver. Emily commented, \"(Oliver is a knight and Jack is a knight) and (if Sophia is a knave then Matthew is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"tel...
{"split": "train", "index": 9983}
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, Sebastian, Mason, Isabella, and Chloe. \"Mason is a knight\" - Oliver. \"(Isabella is a knave if and only if Oliver is a knight) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 0], [\"telli...
{"split": "train", "index": 9984}
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: Abigail, Scarlett, Emma, Mason, and Zoey. Abigail expressed that if (Emma is a saint and Scarlett is a saint and Scarlett is a sinner) then (Zoey is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\...
{"split": "train", "index": 9985}
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: Matthew, Samuel, David, Michael, and Benjamin. \"Samuel is a knight or (Michael is a knave or Benjamin is a knave or David is a knight)\" - Matthew. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], ...
{"split": "train", "index": 9986}
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: Liam, Evelyn, Logan, Chloe, and David. Liam asserted: \"it is not the case that (Logan is a knave if and only if David is a knight)\". Evelyn remarke...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying...
{"split": "train", "index": 9987}
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, Henry, Oliver, Grace, and Mason. In a statement by Abigail: \"(Oliver is an egoist) and Oliver is an altruist and (Grace is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0], ...
{"split": "train", "index": 9988}
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, Charlotte, Ethan, Lucas, and Luke. \"it is not the case that (Ethan is a villain and Ethan is a hero and Luke is a hero),\" David claimed. Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lyi...
{"split": "train", "index": 9989}
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: Matthew, Zoey, Mason, Ava, and Penelope. Matthew was heard saying, \"it is not the case that (Penelope is an altruist or Zoey is an altruist or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and...
{"split": "train", "index": 9990}
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: Mia, Lily, Samuel, Jack, and Emily. Mia told you that (Lily is a knight if and only if Samuel is a knight) or (Emily is a knave or Samuel is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling...
{"split": "train", "index": 9991}
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: Mia, Oliver, Zoey, Abigail, and Sebastian. In a statement by Mia: \"Abigail is a knave\". Oliver told you that (if Mia is a knight then Abigail is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]], [\"lying\", 3]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 4], [\"and\", [\"telli...
{"split": "train", "index": 9992}
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: Riley, Chloe, Ava, Sofia, and Benjamin. Riley was heard saying, \"(Chloe is a knave if and only if Benjamin is a knight) and (Chloe is a knight if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", ...
{"split": "train", "index": 9993}
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: Aria, Matthew, Evelyn, Owen, and Jack. \"(Owen is an angel if and only if Evelyn is a devil) if and only if (Matthew is an angel if and only if Evelyn ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lyi...
{"split": "train", "index": 9994}
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: Michael, Riley, Avery, Sebastian, and Sophia. Michael commented, \"(if Michael is a sage then Sophia is a sage) or (Michael is a sage and Riley is a fool) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", ...
{"split": "train", "index": 9995}
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: Jack, Lucas, Penelope, Emma, and Joseph. \"it is not the case that (Emma is a pioneer),\" Jack claimed. Lucas stated, \"(Emma is a pioneer or J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 0], [\"telling-tru...
{"split": "train", "index": 9996}
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: Olivia, Abigail, Elizabeth, Aiden, and Jacob. Olivia was heard saying, \"it is not the case that (Jacob is a pioneer if and only if Elizabeth i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\...
{"split": "train", "index": 9997}
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: Lucas, David, Aiden, Amelia, and Liam. Lucas was heard saying, \"(David is a pioneer or Amelia is a pioneer or Aiden is a pioneer) or (Liam is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling...
{"split": "train", "index": 9998}
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: Ava, Charlotte, David, Lucas, and Oliver. In Ava's words: \"David is a fool\". \"Ava is a sage,\" Charlotte declared. David noted, \"David is a sage\". In ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"...
{"split": "train", "index": 9999}