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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: Zoey, Scarlett, Emma, Ava, and Victoria. \"(if (Emma is an altruist) then (Victoria is an egoist or Scarlett is an altruist)) or ((Victoria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]], [...
{"split": "train", "index": 17800}
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, Aria, Ava, Olivia, and Benjamin. Abigail said that if Ava is a fool then Aria is a fool. As Aria put it, \"Ava is a fool\". \"((Benjamin is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"->\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 2], [\"and\", [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-tru...
{"split": "train", "index": 17801}
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: Ethan, Ella, Ava, Michael, and Charlotte. Ethan stated, \"((Michael is an angel) if and only if (Ava is a devil if and only if Charlotte is a devil)) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 1], ...
{"split": "train", "index": 17802}
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: Lily, Scarlett, Benjamin, Logan, and Noah. In a statement by Lily: \"(Scarlett is a hero or (if Benjamin is a hero then Lily is a hero)) or ((Scarlet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 3], ...
{"split": "train", "index": 17803}
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: Avery, Alexander, Henry, Owen, and Isabella. As Avery put it, \"Alexander is a sage\". \"((if Avery is a sage then Isabella is a fool) and Avery is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 0]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 0...
{"split": "train", "index": 17804}
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, Zoey, Emily, Alexander, and Avery. In a statement by Harper: \"it is not the case that (if (if Zoey is a knight then Zoey is a knave) then (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"lying\", 0], [\"lying\", 1], [\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lyin...
{"split": "train", "index": 17805}
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, Owen, Scarlett, Lily, and Grace. Penelope asserted: \"((Lily is a pioneer) if and only if (Grace is a laggard and Owen is a laggard))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"not\", [...
{"split": "train", "index": 17806}
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: Aria, Samuel, Alexander, James, and Benjamin. Aria commented, \"((Samuel is a fool if and only if Samuel is a sage) or (Benjamin is a sage or Aria is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"tel...
{"split": "train", "index": 17807}
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: Benjamin, Amelia, Sofia, Olivia, and Michael. \"Olivia is a fool and ((Michael is a sage if and only if Amelia is a sage) or (if Amelia is a sage then Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]]], ...
{"split": "train", "index": 17808}
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, Sophia, Oliver, Mia, and Aurora. \"(it is not the case that (Sofia is a sage and Aurora is a sage and Oliver is a sage and Sophia is a sage)) and ((...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 4]], ...
{"split": "train", "index": 17809}
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, Aria, Sophia, Victoria, and Samuel. Riley stated, \"(if Aria is a knight then Samuel is a knave) or ((if Sophia is a knight then Victoria is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth...
{"split": "train", "index": 17810}
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, Evelyn, Ella, Scarlett, and Samuel. Jack stated, \"(Evelyn is a devil if and only if (if Scarlett is a devil then Evelyn is an angel)) or ((Jack ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"not\", [\"lyin...
{"split": "train", "index": 17811}
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: Samuel, David, Logan, Ava, and Joseph. Samuel noted, \"(Ava is a pioneer) and ((David is a laggard) or (David is a pioneer if and only if Ava i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 1]]], [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"...
{"split": "train", "index": 17812}
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, Jacob, Ava, Lucas, and Penelope. Sebastian said, \"(if (Lucas is a devil or Jacob is a devil) then (Jacob is an angel)) or (it is not the ca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\",...
{"split": "train", "index": 17813}
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, David, Michael, Elizabeth, and Sofia. In Evelyn's words: \"it is not the case that ((Sofia is a saint) and (Evelyn is a saint or Sofia is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 3]]], [\"lying\", 3], [\"or\",...
{"split": "train", "index": 17814}
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, Jackson, Grace, Jack, and Ava. William told you that ((Jackson is a devil if and only if Ava is a devil) if and only if (William is an angel o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 1]]], [\"lying\", 3]], [\"lying\", 2], [\"<=>\", [\"not\", [\"->\", [\"telling-tr...
{"split": "train", "index": 17815}
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: Sebastian, Emily, Victoria, Zoey, and Luke. Sebastian stated, \"(Sebastian is a sinner) and (it is not the case that (Victoria is a sinner if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 1]], [\"and\", [\"or\", [\"lying\", 0], [\"->\", [\"lying\", 0], [\"telling-tr...
{"split": "train", "index": 17816}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Samuel, Victoria, Mason, and Michael. According to Sofia, \"it is not the case that (Samuel is a laggard and (if Mason is a pioneer then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4...
{"split": "train", "index": 17817}
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: Sophia, Olivia, Chloe, Scarlett, and Aurora. Sophia asserted: \"Chloe is a fool\". Olivia expressed that if ((Aurora is a sage) and (if Aurora is a fool th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"lying\", 0...
{"split": "train", "index": 17818}
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, Isabella, Jackson, Luke, and Olivia. Elizabeth was heard saying, \"(it is not the case that (Elizabeth is a sage or Luke is a sage or Jackson is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lyin...
{"split": "train", "index": 17819}
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: Samuel, Daniel, Benjamin, Emily, and Evelyn. Samuel was heard saying, \"it is not the case that ((Daniel is a laggard and Evelyn is a laggard) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"and\", [\"lying\",...
{"split": "train", "index": 17820}
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, Aurora, Scarlett, Riley, and Olivia. Logan remarked, \"(if (Scarlett is a knight and Riley is a knave) then Olivia is a knave) and Scarlett is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 4]], [\"lying\", 2], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\...
{"split": "train", "index": 17821}
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, Zoey, Victoria, Elizabeth, and Michael. Owen said, \"it is not the case that (Victoria is a villain or (Zoey is a villain if and only if Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]]], [\"->\", [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], ...
{"split": "train", "index": 17822}
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, Emma, Scarlett, Liam, and Matthew. Mia told you that ((Liam is a hero) and (if Matthew is a hero then Scarlett is a villain)) or ((Matthew is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 2],...
{"split": "train", "index": 17823}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Liam, Sofia, Scarlett, Mia, and Chloe. Liam stated, \"Mia is a devil\". Sofia said that it is not the case that ((if Chloe is an angel then Liam is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"lying\", 3], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]]]], [\"not\", [\"lying\", 0]], [\"or\"...
{"split": "train", "index": 17824}
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, Sebastian, Victoria, Logan, and Noah. \"Logan is a devil,\" William declared. Sebastian noted, \"((Noah is an angel if and only if Sebastian i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\", [\"->\", [\"o...
{"split": "train", "index": 17825}
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: Aria, Samuel, Sebastian, Lucas, and Liam. Aria commented, \"(it is not the case that (Sebastian is a hero and Sebastian is a villain)) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"->\", [\"or\", [\"and\", [\"lying...
{"split": "train", "index": 17826}
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, Mia, Ava, James, and Logan. Zoey remarked, \"((Ava is a saint or James is a saint or Logan is a saint or Ava is a sinner) or (Mia is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"o...
{"split": "train", "index": 17827}
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, Chloe, Ethan, William, and Riley. \"((Ethan is an angel) if and only if (William is a devil if and only if Riley is an angel)) or Chloe is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 1], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"->\", [...
{"split": "train", "index": 17828}
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, Jackson, Zoey, Ella, and Samuel. \"Jackson is a saint,\" Penelope claimed. According to Jackson, \"((Samuel is a saint or Ella is a saint o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [...
{"split": "train", "index": 17829}
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: Aria, Aiden, Jack, Evelyn, and Elizabeth. As Aria put it, \"Elizabeth is a pioneer\". \"Aiden is a pioneer or ((Jack is a laggard) or (Elizabet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 2]], [\"<=...
{"split": "train", "index": 17830}
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: Jackson, Riley, Mason, Henry, and David. Jackson noted, \"if David is an altruist then ((Henry is an egoist and Riley is an altruist and Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 4]...
{"split": "train", "index": 17831}
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: Benjamin, Elizabeth, Daniel, Aria, and Jackson. Benjamin told you that if ((Daniel is a knave and Aria is a knave) and Aria is a knave) then ((if Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"an...
{"split": "train", "index": 17832}
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: Aurora, Alexander, Elizabeth, William, and Abigail. \"Alexander is a sinner,\" Aurora claimed. Alexander commented, \"it is not the case that ((Eliza...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth...
{"split": "train", "index": 17833}
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, Jacob, Scarlett, Jackson, and Lucas. Ava was heard saying, \"if ((if Lucas is a knave then Jacob is a knave) or (Jacob is a knave or Ava is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth...
{"split": "train", "index": 17834}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Oliver, William, Benjamin, and Grace. \"Benjamin is a villain,\" Daniel claimed. Oliver noted, \"if (if (Daniel is a villain) then (if Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"lying\", 3], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\",...
{"split": "train", "index": 17835}
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, David, Zoey, James, and Henry. Liam remarked, \"it is not the case that ((Zoey is a sinner) and (if James is a sinner then Liam is a saint))\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-...
{"split": "train", "index": 17836}
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, Zoey, Scarlett, Benjamin, and Riley. Evelyn was heard saying, \"Benjamin is a villain\". According to Zoey, \"if (Riley is a villain) then ((...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"or\"...
{"split": "train", "index": 17837}
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, Aria, Ava, Sophia, and Jack. In Lily's words: \"Ava is a saint\". In a statement by Aria: \"it is not the case that (it is not the case that (S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 1]]], [\"lying\", 0]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lyin...
{"split": "train", "index": 17838}
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: James, Lily, Michael, Sophia, and Ella. James said, \"(Sophia is a saint if and only if (James is a saint if and only if Ella is a sinner)) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"tell...
{"split": "train", "index": 17839}
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: Grace, William, Zoey, James, and Mia. \"((Zoey is a sage or Mia is a fool or Zoey is a fool) or (if Grace is a sage then Mia is a fool)) or Grace is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 17840}
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, Jacob, Liam, Luke, and Samuel. William said that it is not the case that ((Samuel is a laggard or Luke is a laggard or Liam is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]]]], [\"<=>\", [\"->\", [\"lyin...
{"split": "train", "index": 17841}
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: Jack, David, Emily, Amelia, and Sebastian. In Jack's words: \"(it is not the case that (Amelia is an egoist and Sebastian is an egoist and Davi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 2]]]], [\"or\", [\"not\", [\"and\", [...
{"split": "train", "index": 17842}
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, Lily, Daniel, Aiden, and Sofia. Isabella told you that Sofia is a devil. Lily told you that ((Daniel is a devil if and only if Lily is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 0], [\"telli...
{"split": "train", "index": 17843}
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, Mia, Ava, Elizabeth, and Sophia. \"Elizabeth is a knight,\" Harper claimed. In Mia's words: \"if Ava is a knight then ((Elizabeth is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lyi...
{"split": "train", "index": 17844}
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, Isabella, Mia, Victoria, and Chloe. Noah told you that ((if Victoria is a knight then Isabella is a knight) and (Chloe is a knight or Isabella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 17845}
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: Charlotte, James, Liam, Abigail, and Chloe. Charlotte expressed that it is not the case that ((if Chloe is a villain then Abigail is a villain) or Ab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"te...
{"split": "train", "index": 17846}
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, Evelyn, Ella, Riley, and Aria. In a statement by Olivia: \"if (if (Riley is a devil if and only if Ella is a devil) then (Olivia is an angel if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 0], [\"not\", [\"lying\", 3]]]], [\"and\", [\"and\", [\...
{"split": "train", "index": 17847}
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, Avery, Mason, and William. Lucas commented, \"((William is a pioneer or Lucas is a pioneer) and (if William is a laggard then A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"and...
{"split": "train", "index": 17848}
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, Sebastian, Mason, Jackson, and Oliver. As Matthew put it, \"(if (if Matthew is a pioneer then Jackson is a laggard) then Matthew is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 0]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-t...
{"split": "train", "index": 17849}
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, Emma, Lucas, Aiden, and Benjamin. Grace said, \"Aiden is a laggard or ((if Aiden is a pioneer then Lucas is a pioneer) or (Aiden is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth...
{"split": "train", "index": 17850}
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: Logan, Matthew, Abigail, Oliver, and Luke. Logan asserted: \"((Logan is a fool) or (Abigail is a sage and Luke is a fool and Luke is a sage and Oliver is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]], ...
{"split": "train", "index": 17851}
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: Jack, Lily, Emily, Samuel, and Daniel. Jack commented, \"it is not the case that ((if Samuel is a villain then Samuel is a hero) or (Lily is a hero) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"or\", [\"lying\", 3], [\"t...
{"split": "train", "index": 17852}
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, Elizabeth, Benjamin, Michael, and Charlotte. \"it is not the case that (if (Benjamin is an altruist or Elizabeth is an altruist or Owen i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"not\", [\"<=>\", [\"not\", [\"te...
{"split": "train", "index": 17853}
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: Harper, Owen, Logan, Victoria, and William. Harper remarked, \"(it is not the case that (if William is an egoist then Harper is an altruist)) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 17854}
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, Aurora, Amelia, Ethan, and Emily. \"it is not the case that ((Amelia is a sage and Aurora is a fool) if and only if (Amelia is a fool if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"...
{"split": "train", "index": 17855}
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, Charlotte, Sofia, Chloe, and Emma. Samuel was heard saying, \"((Chloe is an egoist or Emma is an egoist) if and only if Emma is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 4]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 4],...
{"split": "train", "index": 17856}
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: Scarlett, Avery, Jacob, Harper, and Aiden. Scarlett was heard saying, \"if ((Avery is a hero if and only if Scarlett is a hero) if and only if (Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 2], [...
{"split": "train", "index": 17857}
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: Lily, Benjamin, David, Evelyn, and Matthew. In Lily's words: \"if (it is not the case that (Evelyn is a sage if and only if Benjamin is a fool)) then Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"...
{"split": "train", "index": 17858}
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, James, Ella, Victoria, and Oliver. Aria told you that Ella is an angel. \"((Ella is a devil or Oliver is an angel or Oliver is a devil or Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"lying\", 0], [\"<...
{"split": "train", "index": 17859}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Noah, Ella, Mason, James, and Sebastian. \"((Mason is an egoist) or James is an egoist or (James is an altruist and Ella is an egoist and Sebas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\",...
{"split": "train", "index": 17860}
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: Logan, Daniel, Victoria, William, and Ethan. Logan remarked, \"if (Logan is a sage or (Ethan is a sage if and only if Logan is a sage) or (Victoria is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 1]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 0...
{"split": "train", "index": 17861}
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: Jackson, Joseph, Liam, Elizabeth, and Emma. \"((if Joseph is an angel then Liam is a devil) or (if Elizabeth is an angel then Joseph is a devil) or (Jo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\...
{"split": "train", "index": 17862}
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: Oliver, Penelope, Charlotte, Chloe, and Evelyn. Oliver asserted: \"Evelyn is an egoist and Chloe is an altruist\". Penelope asserted: \"Oliver ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 0], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 0]], [\"->\", [\"->\", [\"or\", [\"telling-trut...
{"split": "train", "index": 17863}
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, Victoria, Emily, Liam, and Harper. As Ava put it, \"((Liam is a sage and Emily is a fool and Ava is a sage and Harper is a sage) or Harper is a sage o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lyin...
{"split": "train", "index": 17864}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Sebastian, Ella, Lucas, and James. Ava expressed that ((if Sebastian is an angel then Lucas is a devil) if and only if (if Lucas is a devil then E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telli...
{"split": "train", "index": 17865}
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, Liam, Penelope, Sophia, and Olivia. Charlotte told you that ((Sophia is a sinner) or Penelope is a sinner or (Sophia is a saint)) and (it ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 2], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 4], [\"...
{"split": "train", "index": 17866}
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: Jack, Amelia, Aiden, Noah, and Elizabeth. Jack told you that ((if Jack is an altruist then Elizabeth is an egoist) or (Amelia is an altruist or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0...
{"split": "train", "index": 17867}
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, Ava, Lily, Abigail, and Riley. As Olivia put it, \"if ((Lily is a devil) if and only if (Abigail is a devil if and only if Lily is an angel)) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 4...
{"split": "train", "index": 17868}
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: Mason, Chloe, Harper, Charlotte, and Oliver. \"Chloe is an angel,\" Mason mentioned. Chloe told you that (Mason is a devil if and only if Oliver is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"->\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"...
{"split": "train", "index": 17869}
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, Emily, Sebastian, Olivia, and Noah. In David's words: \"(it is not the case that (Sebastian is a hero and Olivia is a villain and Sebastian is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"lying\", 1],...
{"split": "train", "index": 17870}
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: Sophia, Sofia, Evelyn, Elizabeth, and Avery. Sophia asserted: \"it is not the case that (Sofia is a fool)\". Sofia stated, \"Avery is a sage\". \"(if Sophi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"or\", [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 0],...
{"split": "train", "index": 17871}
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, Isabella, Sofia, Charlotte, and Lily. \"(it is not the case that (Lily is a saint)) and ((Lily is a sinner) and (if Evelyn is a saint then Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"t...
{"split": "train", "index": 17872}
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: Emily, Penelope, Charlotte, Sofia, and Owen. Emily was heard saying, \"it is not the case that ((Sofia is a villain if and only if Sofia is a hero) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4], [\...
{"split": "train", "index": 17873}
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, Daniel, Ethan, Scarlett, and Aurora. In a statement by Matthew: \"(Aurora is a fool) and (if (Ethan is a fool) then (Ethan is a sage)) and ((if Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\...
{"split": "train", "index": 17874}
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, Ella, Sophia, Alexander, and William. Jack remarked, \"(if (if William is a pioneer then Alexander is a pioneer) then (Ella is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-trut...
{"split": "train", "index": 17875}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Ava, Jackson, David, and Lily. Amelia remarked, \"((Jackson is a knave or David is a knight) and (if Lily is a knight then David is a knave))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]], [\"t...
{"split": "train", "index": 17876}
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: Joseph, Mason, Oliver, Alexander, and Scarlett. \"it is not the case that ((Alexander is a knight if and only if Mason is a knave) and Oliver is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]]], [\"not\", [\"telling-t...
{"split": "train", "index": 17877}
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, Joseph, Harper, Benjamin, and Ella. \"(if Harper is a knave then (if Harper is a knave then Harper is a knight)) or ((if Harper is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]],...
{"split": "train", "index": 17878}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Benjamin, Mason, Amelia, and Avery. Samuel said, \"Amelia is a sinner.\" Benjamin told you that ((Amelia is a sinner) if and only if (Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\...
{"split": "train", "index": 17879}
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: Scarlett, Grace, Evelyn, Amelia, and Aiden. Scarlett stated, \"if Amelia is a villain then ((if Amelia is a villain then Evelyn is a villain) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"->\", [\"lying\", 3], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]]]], [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"or\", [\"tel...
{"split": "train", "index": 17880}
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: Riley, Mia, Aiden, Joseph, and Mason. Riley asserted: \"Joseph is a hero and ((Joseph is a hero or Joseph is a villain) or (Mia is a villain or Mia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"l...
{"split": "train", "index": 17881}
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, Benjamin, Oliver, Sebastian, and Aiden. Owen was heard saying, \"it is not the case that ((Sebastian is an altruist) or (Aiden is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\",...
{"split": "train", "index": 17882}
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: Zoey, Joseph, Lucas, Chloe, and Aria. Zoey stated, \"((if Chloe is a knight then Aria is a knight) and (Joseph is a knight) and (Lucas is a knight) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]]...
{"split": "train", "index": 17883}
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, Olivia, Daniel, Avery, and Sebastian. As Ella put it, \"(if Avery is a laggard then (Olivia is a laggard)) or ((Olivia is a pioneer or Av...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]]],...
{"split": "train", "index": 17884}
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, Olivia, Mason, Evelyn, and Benjamin. \"Benjamin is a villain,\" Sofia claimed. According to Olivia, \"(it is not the case that (Olivia is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 3]]], [\"lying\", 0]], [\"not\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-tru...
{"split": "train", "index": 17885}
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: Jackson, Mason, Isabella, Liam, and William. \"Liam is a devil,\" Jackson mentioned. Mason said, \"((William is a devil and Liam is a devil) or (if Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth...
{"split": "train", "index": 17886}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Scarlett, Ava, Amelia, and Charlotte. Ethan said that (Scarlett is a villain if and only if (Scarlett is a hero)) or Scarlett is a villain or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"not\", [\"lying\", 1]]], [\"lying\", 1], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"lying\", 3], [\"t...
{"split": "train", "index": 17887}
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, Ella, Alexander, Owen, and Aurora. Harper asserted: \"((Aurora is a fool or Owen is a sage) and Owen is a fool and (Aurora is a sage if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"or\", [\"telling-t...
{"split": "train", "index": 17888}
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: Mia, Lucas, James, Emma, and Amelia. \"if ((Emma is an altruist if and only if Emma is an egoist) if and only if (Emma is an egoist and James i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\",...
{"split": "train", "index": 17889}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Grace, Alexander, Matthew, Liam, and Joseph. Grace commented, \"(it is not the case that (Matthew is a hero or Matthew is a villain or Joseph is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 4]]]]...
{"split": "train", "index": 17890}
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, Charlotte, Jacob, Abigail, and Ella. Liam expressed that it is not the case that (Jacob is a knight or (Abigail is a knight if and only if Char...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"t...
{"split": "train", "index": 17891}
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, Mason, Evelyn, Emma, and Ethan. \"(it is not the case that (Emma is a sage or Ethan is a sage or Ethan is a fool or Matthew is a sage)) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 2], [\"tellin...
{"split": "train", "index": 17892}
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: Zoey, James, Benjamin, Michael, and Aria. \"((if Benjamin is a knight then Benjamin is a knave) and Michael is a knave) if and only if ((Michael is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"tell...
{"split": "train", "index": 17893}
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, Lucas, Emily, and Liam. Penelope asserted: \"Emma is a laggard or (if (Emma is a pioneer if and only if Penelope is a pioneer) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"or\", [\"lying\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"lying\", 4], [\"and\", [\"or\", [\"lying\", 1], [\"telli...
{"split": "train", "index": 17894}
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: Noah, Benjamin, Scarlett, William, and Aurora. \"(it is not the case that (William is a sinner and Aurora is a sinner)) if and only if (Scarlett is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 4], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"->\", [\"not\", [\"telling-t...
{"split": "train", "index": 17895}
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, Matthew, Logan, Evelyn, and Alexander. Chloe said, \"((if Matthew is a sinner then Chloe is a saint) and (Evelyn is a sinner if and only if Al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 4],...
{"split": "train", "index": 17896}
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: Samuel, Avery, Logan, Aiden, and Mason. In a statement by Samuel: \"if (it is not the case that (Avery is a laggard)) then (Logan is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"<=>\", [\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\"...
{"split": "train", "index": 17897}
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: Joseph, Mason, Grace, Penelope, and Abigail. \"((Mason is a knave and Abigail is a knave and Penelope is a knave) if and only if (if Penelope is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"ly...
{"split": "train", "index": 17898}
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, Isabella, Ella, Abigail, and Jackson. Amelia was heard saying, \"Amelia is an angel if and only if ((if Jackson is an angel then Amelia is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 2]...
{"split": "train", "index": 17899}