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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: Mia, Ethan, Henry, Isabella, and Jackson. Mia stated, \"if (Ethan is a sage) then Henry is a fool\". In Ethan's words: \"it is not the case that (Isabella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"lying\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 0]...
{"split": "train", "index": 11900}
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, William, Noah, Avery, and Liam. According to Samuel, \"(Liam is an altruist) or (William is an egoist or Noah is an altruist)\". As Wil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 2], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]...
{"split": "train", "index": 11901}
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: Amelia, Logan, Oliver, Sophia, and Ethan. As Amelia put it, \"(Ethan is a pioneer if and only if Oliver is a pioneer) and Sophia is a laggard a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"telling-trut...
{"split": "train", "index": 11902}
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: Chloe, Aiden, Lily, Emma, and Samuel. Chloe commented, \"(if Lily is an egoist then Emma is an altruist) if and only if (Lily is an altruist an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth...
{"split": "train", "index": 11903}
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: Harper, Penelope, Sofia, Zoey, and Oliver. Harper was heard saying, \"(if Zoey is a hero then Zoey is a villain) and (Zoey is a hero or Oliver is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 4], [\"->\", [\"lying\", 4], [\"te...
{"split": "train", "index": 11904}
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, Alexander, William, Abigail, and Lucas. In Matthew's words: \"(if Lucas is a sage then Abigail is a fool) and (William is a sage and Alexander is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-trut...
{"split": "train", "index": 11905}
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: Evelyn, Olivia, Aiden, Sophia, and Daniel. \"Olivia is a villain,\" Evelyn declared. Olivia said that if Sophia is a villain then (if Aiden is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"lying\", 1], [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [...
{"split": "train", "index": 11906}
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: Amelia, Sebastian, Jack, Elizabeth, and Harper. \"Harper is an angel,\" Amelia declared. Sebastian expressed that (if Elizabeth is a devil then Harper ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\",...
{"split": "train", "index": 11907}
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: Samuel, James, Jack, Penelope, and Scarlett. As Samuel put it, \"it is not the case that (James is a sage)\". \"(Samuel is a sage) if and only if Scarlett ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1]], [\"...
{"split": "train", "index": 11908}
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, David, Sebastian, Sofia, and Aiden. As Abigail put it, \"it is not the case that (if Sebastian is an egoist then Sebastian is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\...
{"split": "train", "index": 11909}
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: Ella, Aria, Penelope, Avery, and Sebastian. Ella expressed that it is not the case that (if Sebastian is an altruist then Aria is an egoist). A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4], [\"telling...
{"split": "train", "index": 11910}
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, Benjamin, Henry, Aiden, and Lily. As Olivia put it, \"if (Lily is a knight) then (Henry is a knave and Henry is a knight and Benjamin is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\",...
{"split": "train", "index": 11911}
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, Aiden, Riley, Olivia, and Avery. Isabella commented, \"Olivia is an angel\". Aiden was heard saying, \"(Aiden is an angel if and only if Rile...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"not\", [\"lying\", 4]]], [\"lying\", 0], [\"and\", [\"->\", [\"lying\", 0], [\"tellin...
{"split": "train", "index": 11912}
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: Chloe, Oliver, Joseph, Michael, and Jacob. Chloe expressed that (Oliver is a laggard or Michael is a pioneer) and Oliver is a pioneer and (if O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\"...
{"split": "train", "index": 11913}
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: Abigail, Victoria, Ethan, Sebastian, and Penelope. \"(Sebastian is a fool if and only if Victoria is a sage) if and only if (Sebastian is a sage and Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"telling-truth\",...
{"split": "train", "index": 11914}
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, Ethan, Riley, Aria, and Emily. Samuel asserted: \"(Emily is an egoist if and only if Aria is an altruist) and (if Riley is an altruist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\...
{"split": "train", "index": 11915}
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: Emma, Sebastian, Luke, David, and Ethan. Emma noted, \"if (Sebastian is a knave and Sebastian is a knight and Luke is a knave and David is a knight) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 0]]...
{"split": "train", "index": 11916}
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, Owen, Evelyn, Samuel, and Mason. Liam said that it is not the case that (Samuel is a laggard if and only if Owen is a pioneer). Owen expr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 0]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"tel...
{"split": "train", "index": 11917}
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: Olivia, Avery, Lily, Ethan, and Daniel. Olivia asserted: \"(Avery is a saint and Avery is a sinner and Lily is a saint) and (Olivia is a saint and Et...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]]...
{"split": "train", "index": 11918}
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, Jacob, Ava, Aurora, and Ethan. Henry stated, \"(Ava is a laggard if and only if Henry is a pioneer) or (Aurora is a laggard or Jacob is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 11919}
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, Owen, Ava, Zoey, and Amelia. Henry commented, \"Amelia is a laggard\". Owen asserted: \"if (Ava is a pioneer or Henry is a pioneer or Am...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]], [\"not\", [\"telling-truth\",...
{"split": "train", "index": 11920}
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: Lucas, Joseph, Emily, James, and Matthew. Lucas was heard saying, \"it is not the case that (James is a hero or Matthew is a villain)\". Joseph was h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telli...
{"split": "train", "index": 11921}
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: Joseph, Emily, Emma, Oliver, and Amelia. Joseph expressed that (Amelia is a sage) or Amelia is a fool or (Oliver is a fool) or (Joseph is a sage and Amelia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"lying\", 4], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1...
{"split": "train", "index": 11922}
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, Emily, Benjamin, Jacob, and Amelia. According to Daniel, \"Amelia is a laggard\". Emily was heard saying, \"if (Daniel is a pioneer and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"lying\", 0]], [\"or\", [\"not\", [\"lying\", 2]]...
{"split": "train", "index": 11923}
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, Luke, Victoria, Owen, and Sophia. In Logan's words: \"if (Logan is an angel and Victoria is an angel and Owen is a devil) then (Luke is a devil)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"or...
{"split": "train", "index": 11924}
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, Olivia, Victoria, Luke, and Henry. Charlotte was heard saying, \"it is not the case that (Victoria is a saint and Luke is a saint)\". Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"...
{"split": "train", "index": 11925}
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, Grace, Samuel, Emma, and Abigail. Olivia remarked, \"(if Grace is a devil then Grace is an angel) or (Samuel is a devil or Olivia is an angel o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"tel...
{"split": "train", "index": 11926}
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, Charlotte, Riley, Logan, and Owen. \"Charlotte is a laggard\" - Henry. Charlotte said, \"it is not the case that (Riley is a laggard).\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"lying\", 1], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-t...
{"split": "train", "index": 11927}
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, Penelope, Mason, Ella, and Charlotte. \"it is not the case that (Mason is a knave or Charlotte is a knight or Ella is a knight or Penelope...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth...
{"split": "train", "index": 11928}
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, Ethan, Chloe, Aria, and Alexander. \"Lucas is a pioneer,\" Lucas mentioned. \"(Alexander is a pioneer or Aria is a laggard) and Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]]...
{"split": "train", "index": 11929}
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: Avery, Ethan, Chloe, Oliver, and Ella. According to Avery, \"if (if Chloe is a hero then Ella is a hero) then (Ethan is a villain or Chloe is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]...
{"split": "train", "index": 11930}
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, Ethan, Elizabeth, Jackson, and Daniel. In Oliver's words: \"(Oliver is a knight and Ethan is a knave) if and only if (Oliver is a knave)\". E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"->\", [\"telling-...
{"split": "train", "index": 11931}
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, Abigail, Emma, Isabella, and Oliver. Ella said that (Emma is a laggard if and only if Emma is a pioneer) or (Oliver is a laggard if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling...
{"split": "train", "index": 11932}
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, Owen, Charlotte, Victoria, and Scarlett. Alexander remarked, \"if (Victoria is a devil or Charlotte is a devil) then (Victoria is a devil or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\",...
{"split": "train", "index": 11933}
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, Benjamin, Jack, Charlotte, and Ethan. In a statement by Mia: \"(Jack is a knight) and (Charlotte is a knight)\". Benjamin asserted: \"(Ethan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\...
{"split": "train", "index": 11934}
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: Joseph, Harper, Jackson, Penelope, and Henry. Joseph noted, \"if (if Penelope is a devil then Henry is a devil) then (if Penelope is an angel then Jack...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]...
{"split": "train", "index": 11935}
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, Henry, Owen, Jacob, and David. Sofia said that if (Owen is a fool if and only if Jacob is a sage) then (David is a fool). Henry was heard saying, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 1]], [\"and\", ...
{"split": "train", "index": 11936}
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: Aiden, James, Matthew, Amelia, and Harper. \"(if Aiden is a hero then Amelia is a hero) if and only if (Amelia is a hero and Harper is a villain and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 4], [\"tellin...
{"split": "train", "index": 11937}
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: Noah, Jackson, Henry, Grace, and Jack. In Noah's words: \"it is not the case that (Jackson is a laggard or Grace is a laggard)\". According to ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\"...
{"split": "train", "index": 11938}
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: Grace, Emily, Penelope, Henry, and Aria. Grace said that if (Penelope is a knave or Penelope is a knight or Henry is a knave) then (Emily is a knave ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"...
{"split": "train", "index": 11939}
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: William, Penelope, Grace, Sophia, and Logan. William said that Penelope is a pioneer. In a statement by Penelope: \"Penelope is a pioneer or (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4]], [\"and\...
{"split": "train", "index": 11940}
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, Riley, Charlotte, Victoria, and Alexander. Harper asserted: \"if (Riley is a sinner and Riley is a saint and Victoria is a saint and Alexande...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\"...
{"split": "train", "index": 11941}
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, Emma, Sofia, Noah, and Jacob. Amelia noted, \"(Jacob is an altruist) if and only if (Jacob is an altruist if and only if Noah is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lyi...
{"split": "train", "index": 11942}
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: Mia, Emma, Owen, Sophia, and Ella. In Mia's words: \"it is not the case that (Mia is an angel if and only if Owen is an angel)\". \"(Mia is an angel or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\...
{"split": "train", "index": 11943}
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: Samuel, Amelia, Henry, Michael, and Ethan. Samuel was heard saying, \"if (Henry is a fool and Ethan is a sage and Henry is a sage and Samuel is a sage) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"...
{"split": "train", "index": 11944}
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, Charlotte, Owen, Logan, and Noah. David noted, \"(Noah is an egoist and Logan is an altruist and Owen is an altruist and Charlotte is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-trut...
{"split": "train", "index": 11945}
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: Penelope, Luke, Abigail, Emily, and Amelia. Penelope commented, \"(Luke is a sinner and Abigail is a sinner and Emily is a sinner) if and only if (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"lying\", 4], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 1], [\"ly...
{"split": "train", "index": 11946}
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, Harper, Michael, Samuel, and Benjamin. Lily commented, \"Harper is a saint\". \"if (Samuel is a saint and Michael is a saint and Harper is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"lying\", 4], [\"and\", [\"lying\", 2...
{"split": "train", "index": 11947}
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: Amelia, Emma, Ava, Ella, and Aiden. Amelia commented, \"(Aiden is a sinner) or Ava is a sinner or (Aiden is a saint) or Aiden is a saint\". In a stat...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 2], [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2], [...
{"split": "train", "index": 11948}
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: Riley, Lily, Joseph, Jackson, and Emma. In Riley's words: \"(Joseph is a sinner if and only if Jackson is a saint) and (Lily is a saint or Jackson is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1]...
{"split": "train", "index": 11949}
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, Chloe, Henry, James, and Alexander. In Riley's words: \"(Chloe is an egoist) or (James is an altruist) or (Henry is an egoist) or (Henry...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"...
{"split": "train", "index": 11950}
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, Mason, Sophia, Aurora, and Samuel. \"it is not the case that (Mason is a knave)\" - Olivia. In a statement by Mason: \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 2]]], [\"->\", [\"lying\", 0], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"a...
{"split": "train", "index": 11951}
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, Isabella, Elizabeth, Matthew, and Alexander. \"Matthew is a fool or (Alexander is a sage and Matthew is a fool and Elizabeth is a sage and Isabel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"not\", [\"or\", [\"tellin...
{"split": "train", "index": 11952}
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, Aiden, Ella, Owen, and Grace. Scarlett commented, \"(Grace is a pioneer) if and only if (Aiden is a laggard or Owen is a laggard or G...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]...
{"split": "train", "index": 11953}
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: Liam, Daniel, Grace, Sophia, and William. Liam remarked, \"(Sophia is a sage if and only if William is a sage) if and only if (if Sophia is a fool then Dan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0],...
{"split": "train", "index": 11954}
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: Noah, Riley, Chloe, Mason, and Scarlett. Noah was heard saying, \"(Chloe is a laggard) or (Mason is a pioneer) or (Mason is a pioneer if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 2], [\"tel...
{"split": "train", "index": 11955}
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: Logan, Ava, Ella, Charlotte, and Matthew. Logan noted, \"if Ava is a pioneer then (Charlotte is a laggard)\". Ava expressed that (Matthew is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"tellin...
{"split": "train", "index": 11956}
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: Joseph, Jackson, Abigail, Elizabeth, and Mason. Joseph asserted: \"if Mason is a pioneer then (Abigail is a pioneer or Mason is a laggard or El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"lying\", 0], [\"t...
{"split": "train", "index": 11957}
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, Zoey, Emma, Harper, and Jacob. Mason told you that if (Zoey is a knave or Jacob is a knight or Emma is a knave or Mason is a knight) then (Emm...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]]], [\"no...
{"split": "train", "index": 11958}
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: Evelyn, Jacob, Benjamin, Penelope, and Daniel. Evelyn said that (Daniel is a sinner) and (Penelope is a saint and Daniel is a saint and Benjamin is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 4],...
{"split": "train", "index": 11959}
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, Logan, Joseph, Jackson, and Olivia. \"Jackson is a hero,\" Michael claimed. Logan stated, \"if (Michael is a hero if and only if Jackson is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", ...
{"split": "train", "index": 11960}
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, Daniel, William, Scarlett, and Evelyn. Lucas said that (Daniel is a fool and Evelyn is a fool and Scarlett is a sage) if and only if (Daniel is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 2], ...
{"split": "train", "index": 11961}
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, Elizabeth, Jackson, Isabella, and Alexander. According to David, \"(David is a hero and Alexander is a hero and Jackson is a hero) or (Isabell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]], [\"lying\", 2]], [\"->\", [\"and\", [\"lying\"...
{"split": "train", "index": 11962}
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, Noah, Amelia, Aurora, and Lucas. Liam told you that it is not the case that (if Noah is a devil then Aurora is a devil). Noah noted, \"if (Amelia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", ...
{"split": "train", "index": 11963}
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, Grace, Samuel, Ethan, and Emily. \"it is not the case that (if Ethan is an altruist then Grace is an altruist),\" Aiden declared. Grace ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [...
{"split": "train", "index": 11964}
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, Joseph, Amelia, Owen, and Alexander. Elizabeth asserted: \"(Alexander is a sage or Joseph is a fool or Elizabeth is a sage) and (Owen is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [...
{"split": "train", "index": 11965}
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: Harper, David, Victoria, Isabella, and Ethan. As Harper put it, \"(Isabella is a knight) if and only if (if Ethan is a knave then Ethan is a knight)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telli...
{"split": "train", "index": 11966}
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, Samuel, Olivia, Charlotte, and Sebastian. Jacob told you that if (if Jacob is a sage then Sebastian is a sage) then (if Sebastian is a fool then Sam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 0], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-...
{"split": "train", "index": 11967}
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: Chloe, Sebastian, Matthew, Grace, and Luke. In a statement by Chloe: \"(Chloe is a pioneer and Grace is a laggard and Matthew is a laggard and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [...
{"split": "train", "index": 11968}
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: Emma, Ethan, Aurora, Luke, and Jacob. \"if Jacob is a sinner then Aurora is a sinner,\" Emma declared. Ethan said, \"if (if Aurora is a saint then Em...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"->\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telli...
{"split": "train", "index": 11969}
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, Mia, Liam, Daniel, and Emily. Penelope asserted: \"it is not the case that (Mia is a knight and Penelope is a knight and Mia is a knave and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth...
{"split": "train", "index": 11970}
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: Scarlett, Ella, Evelyn, Abigail, and Riley. Scarlett said that (if Ella is a saint then Evelyn is a sinner) or (Riley is a sinner) or (Abigail is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\",...
{"split": "train", "index": 11971}
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: Alexander, Mason, Evelyn, Benjamin, and Grace. In Alexander's words: \"it is not the case that (Mason is a laggard or Evelyn is a laggard or Gr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"or\...
{"split": "train", "index": 11972}
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, Emily, Jackson, Jacob, and Michael. Elizabeth stated, \"(Emily is a devil) or Michael is a devil or (Jackson is a devil or Emily is a devil ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\"...
{"split": "train", "index": 11973}
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, Owen, Penelope, James, and Zoey. \"Penelope is a devil,\" William declared. Owen asserted: \"if William is a devil then Zoey is an angel\". Pe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"lying\", 2], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\...
{"split": "train", "index": 11974}
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: Liam, Jack, Amelia, Abigail, and Ella. \"(Amelia is a hero if and only if Abigail is a villain) if and only if (Liam is a hero and Amelia is a hero),...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"or\", [\"...
{"split": "train", "index": 11975}
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: Elizabeth, James, Sofia, Avery, and Benjamin. In a statement by Elizabeth: \"(Avery is a knave or Benjamin is a knave) and (Elizabeth is a knight or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 2...
{"split": "train", "index": 11976}
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, David, Mia, Ella, and Henry. Luke noted, \"(Ella is a hero or Mia is a villain or Henry is a villain or David is a villain) and (Luke is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\",...
{"split": "train", "index": 11977}
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, Olivia, Samuel, Mason, and Riley. David expressed that (if Samuel is a knave then Riley is a knight) or (Mason is a knight and David is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\"...
{"split": "train", "index": 11978}
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, Lucas, Abigail, Riley, and Henry. Sebastian remarked, \"Henry is an egoist\". Lucas stated, \"(Riley is an egoist or Riley is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", ...
{"split": "train", "index": 11979}
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: Sofia, Matthew, Victoria, Olivia, and Scarlett. Sofia was heard saying, \"(Olivia is an egoist and Scarlett is an altruist and Sofia is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-tr...
{"split": "train", "index": 11980}
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: Grace, Henry, Charlotte, Jacob, and Michael. In a statement by Grace: \"it is not the case that (Charlotte is a knave or Henry is a knight)\". \"if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], ...
{"split": "train", "index": 11981}
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, Elizabeth, Olivia, Benjamin, and Chloe. Mia said that Olivia is a hero. Elizabeth said, \"(Mia is a hero if and only if Chloe is a hero) and Mia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lyin...
{"split": "train", "index": 11982}
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: Luke, Evelyn, Lucas, Ella, and Joseph. \"(if Evelyn is a sinner then Lucas is a sinner) if and only if (Evelyn is a saint if and only if Joseph is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"ly...
{"split": "train", "index": 11983}
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: Michael, Lucas, Aria, Mason, and Ava. Michael said that if (Mason is an egoist) then (Mason is an egoist if and only if Aria is an egoist). \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 3], [\"not\", [\"->...
{"split": "train", "index": 11984}
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: Lucas, Henry, Zoey, Alexander, and Jackson. According to Lucas, \"if (Jackson is a sinner if and only if Zoey is a saint) then (Lucas is a saint if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"tel...
{"split": "train", "index": 11985}
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: Charlotte, Jackson, Ethan, Mia, and Alexander. In a statement by Charlotte: \"(if Mia is a sage then Mia is a fool) and (Ethan is a fool and Ethan is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 0], [\"lyi...
{"split": "train", "index": 11986}
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, Charlotte, Evelyn, Harper, and James. Michael said, \"it is not the case that (if James is a fool then Evelyn is a fool).\" In Charlotte's words: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lyin...
{"split": "train", "index": 11987}
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: Riley, Scarlett, Benjamin, Jack, and Isabella. Riley was heard saying, \"(Benjamin is a sage) or (Riley is a sage or Jack is a fool or Isabella is a sage) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], [\...
{"split": "train", "index": 11988}
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: David, Olivia, Zoey, Ella, and Matthew. David stated, \"if (Ella is a sinner) then (Olivia is a sinner if and only if Matthew is a sinner)\". As Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"t...
{"split": "train", "index": 11989}
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: Aiden, Harper, Mason, Victoria, and Benjamin. Aiden asserted: \"Victoria is a hero\". Harper told you that if (Benjamin is a villain) then (Aiden is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 1]]], [\"and\", [\"<=...
{"split": "train", "index": 11990}
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: Grace, Zoey, Emily, Amelia, and David. Grace said that (if David is an altruist then Emily is an altruist) or (if Emily is an egoist then Ameli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"...
{"split": "train", "index": 11991}
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: Olivia, Michael, Aria, Amelia, and James. Olivia commented, \"(Amelia is a sage or Olivia is a sage or James is a sage or James is a fool) or (James is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\"...
{"split": "train", "index": 11992}
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: Olivia, Elizabeth, Emily, Lily, and Aria. Olivia asserted: \"Lily is a sage and (Lily is a sage or Emily is a fool or Aria is a sage) and (Olivia is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\",...
{"split": "train", "index": 11993}
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: Emma, Mia, Luke, Benjamin, and Grace. \"Grace is a knave if and only if Grace is a knight,\" Emma declared. \"Emma is a knave,\" Mia mentioned. As Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 0], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 0], [\"telling-truth\", ...
{"split": "train", "index": 11994}
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: Owen, Chloe, Sebastian, Jack, and Lucas. Owen said, \"Jack is a villain.\" Chloe stated, \"(if Lucas is a hero then Chloe is a hero) and Sebastian is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 3]...
{"split": "train", "index": 11995}
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: Alexander, Samuel, Jacob, Aiden, and Ava. Alexander stated, \"if (Jacob is a saint if and only if Samuel is a sinner) then (Alexander is a saint if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]...
{"split": "train", "index": 11996}
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, Charlotte, Lucas, Zoey, and Sebastian. \"if (Charlotte is a laggard and Sebastian is a pioneer and Lucas is a pioneer) then Zoey is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]], [\"<=>\"...
{"split": "train", "index": 11997}
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, Jackson, Olivia, Victoria, and Benjamin. As Samuel put it, \"(Victoria is a hero and Victoria is a villain) and (Victoria is a hero and Jacks...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-t...
{"split": "train", "index": 11998}
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, Alexander, Henry, Olivia, and Jack. Isabella stated, \"if (if Henry is an egoist then Olivia is an altruist) then Olivia is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 3]], [\"telling-truth\", 1], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 1], [\"not\", [\"lying\", 0]]...
{"split": "train", "index": 11999}