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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, Harper, Charlotte, Noah, and Benjamin. As Riley put it, \"(Noah is a sinner) if and only if (Charlotte is a saint if and only if Charlotte is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]], [\"and\", [...
{"split": "train", "index": 10200}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ava, Daniel, Charlotte, Scarlett, and Lucas. Ava asserted: \"if (Daniel is an altruist) then (Lucas is an altruist)\". \"if Scarlett is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\",...
{"split": "train", "index": 10201}
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: Isabella, Mason, Emma, Lucas, and Henry. Isabella noted, \"if (Isabella is a saint or Emma is a saint) then (Mason is a saint and Isabella is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [...
{"split": "train", "index": 10202}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Evelyn, William, James, and Matthew. \"Evelyn is a knave,\" Lucas mentioned. Evelyn said, \"(Lucas is a knave or William is a knave or James i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"lying\", 1], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"lying\", 0], [\"->\", ...
{"split": "train", "index": 10203}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jackson, Charlotte, Oliver, Daniel, and Mia. Jackson was heard saying, \"it is not the case that (if Daniel is a hero then Mia is a hero)\". As Charl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"or\", [\"...
{"split": "train", "index": 10204}
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, Isabella, Sofia, Benjamin, and Ethan. Logan was heard saying, \"(if Logan is a pioneer then Isabella is a pioneer) or Benjamin is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"not\", [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2]...
{"split": "train", "index": 10205}
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: Sophia, Grace, Joseph, James, and Matthew. Sophia was heard saying, \"Joseph is a knave\". Grace remarked, \"(Matthew is a knight and James is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"lyin...
{"split": "train", "index": 10206}
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: Benjamin, Jacob, Luke, Mia, and Jackson. In a statement by Benjamin: \"Jacob is a devil\". \"(Luke is an angel or Luke is a devil) or Luke is a devil o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 2], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\...
{"split": "train", "index": 10207}
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: Liam, Avery, Joseph, Luke, and Matthew. \"it is not the case that (Luke is an altruist or Joseph is an altruist),\" Liam declared. \"(Avery is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"...
{"split": "train", "index": 10208}
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, Isabella, Michael, Mia, and David. \"(if Mia is a sage then Isabella is a fool) or (Mia is a sage if and only if David is a fool),\" Charlotte m...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]], [...
{"split": "train", "index": 10209}
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, Harper, James, Joseph, and Evelyn. As Mason put it, \"it is not the case that (Evelyn is a knight)\". \"it is not the case that (Joseph is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"tel...
{"split": "train", "index": 10210}
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: Sophia, Liam, Charlotte, Jacob, and David. Sophia said, \"(David is a knave or Charlotte is a knave or Liam is a knight) and (David is a knave or Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"...
{"split": "train", "index": 10211}
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, James, Benjamin, William, and Emily. Avery commented, \"(if James is a devil then Avery is an angel) if and only if (William is an angel or Will...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1322, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"tell...
{"split": "train", "index": 10212}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Jack, Ella, Joseph, and Michael. Ava stated, \"Joseph is a knave\". Jack said, \"(Ava is a knight or Joseph is a knight or Joseph is a knave) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1323, \"statements\": [[\"lying\", 3], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\...
{"split": "train", "index": 10213}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Chloe, Matthew, Elizabeth, and Oliver. Alexander asserted: \"(Chloe is a hero) if and only if (Oliver is a villain)\". Chloe remarked, \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1324, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", ...
{"split": "train", "index": 10214}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Samuel, Michael, Alexander, Harper, and Olivia. Samuel remarked, \"it is not the case that (Samuel is an angel or Harper is an angel)\". According to M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1325, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"...
{"split": "train", "index": 10215}
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: Matthew, Emma, Aria, Sofia, and Mason. In a statement by Matthew: \"(Sofia is an angel or Matthew is an angel) and (if Mason is an angel then Aria is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1326, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"tellin...
{"split": "train", "index": 10216}
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, Daniel, Alexander, Luke, and Evelyn. \"(Alexander is a villain or Evelyn is a villain or Luke is a hero) or (if Mia is a hero then Luke is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1327, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"->\", [\"lying\", 1], ...
{"split": "train", "index": 10217}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Ella, Charlotte, Sophia, and Samuel. In Jacob's words: \"if (Charlotte is a hero if and only if Samuel is a hero) then Samuel is a hero\". \"C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1328, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-trut...
{"split": "train", "index": 10218}
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, Sofia, Penelope, Joseph, and Jacob. Sebastian told you that it is not the case that (Jacob is a sinner). \"(Penelope is a sinner and Jacob...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1329, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\...
{"split": "train", "index": 10219}
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: Isabella, Penelope, Samuel, Olivia, and Lily. Isabella noted, \"(if Lily is a pioneer then Olivia is a pioneer) or Samuel is a pioneer\". Accor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1330, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 0], [\"or\"...
{"split": "train", "index": 10220}
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: Jackson, Jacob, Riley, David, and Aurora. Jackson was heard saying, \"it is not the case that (if Jacob is a knight then Jackson is a knight)\". Acco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1331, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", ...
{"split": "train", "index": 10221}
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: David, Aria, Sebastian, Penelope, and Mia. David told you that (if Mia is a fool then Penelope is a fool) and Mia is a fool and (Sebastian is a sage if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1332, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"ly...
{"split": "train", "index": 10222}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Zoey, Lily, Oliver, Penelope, and Lucas. Zoey remarked, \"if (Oliver is a villain and Zoey is a hero) then (if Zoey is a hero then Oliver is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1333, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\"...
{"split": "train", "index": 10223}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Olivia, Chloe, Ava, Isabella, and Emily. In Olivia's words: \"Chloe is a laggard\". According to Chloe, \"it is not the case that (Ava is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1334, \"statements\": [[\"lying\", 1], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lyi...
{"split": "train", "index": 10224}
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, Harper, Sebastian, Luke, and Ava. Lucas said, \"(Sebastian is a pioneer if and only if Harper is a laggard) and Sebastian is a pioneer a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1335, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying...
{"split": "train", "index": 10225}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Scarlett, Olivia, William, Lily, and James. Scarlett commented, \"(if William is an angel then Scarlett is an angel) or (William is a devil if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1336, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"tell...
{"split": "train", "index": 10226}
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: Ella, Aria, Avery, Olivia, and Victoria. Ella noted, \"it is not the case that (if Ella is a knight then Aria is a knave)\". Aria told you that (Aver...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1337, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3...
{"split": "train", "index": 10227}
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, Scarlett, Aurora, Owen, and Logan. Chloe stated, \"(Aurora is an altruist or Logan is an egoist) or (Logan is an egoist and Scarlett is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1338, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", ...
{"split": "train", "index": 10228}
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, William, Riley, and Daniel. Liam told you that Daniel is a sinner or Liam is a saint. In David's words: \"it is not the case that (Danie...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1339, \"statements\": [[\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"tel...
{"split": "train", "index": 10229}
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, Ava, Avery, James, and Alexander. Jack stated, \"Avery is a villain and (James is a villain and Alexander is a villain) and (Avery is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1340, \"statements\": [[\"and\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 0]], [\"not\", [\"l...
{"split": "train", "index": 10230}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Ethan, Oliver, Mason, and Luke. In Daniel's words: \"Ethan is a knight if and only if Luke is a knight\". As Ethan put it, \"(if Luke is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1341, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"or\...
{"split": "train", "index": 10231}
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, Isabella, Elizabeth, Zoey, and Jacob. Liam noted, \"it is not the case that (Elizabeth is a fool or Jacob is a fool)\". Isabella asserted: \"(Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1342, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 4]...
{"split": "train", "index": 10232}
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: Isabella, Aria, Amelia, Grace, and Matthew. Isabella stated, \"Amelia is a sinner\". According to Aria, \"if (Amelia is a saint) then (if Amelia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1343, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\",...
{"split": "train", "index": 10233}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jack, Logan, Michael, Lily, and Amelia. \"it is not the case that (Michael is a fool and Jack is a sage and Amelia is a fool),\" Jack mentioned. Logan asse...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1344, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-trut...
{"split": "train", "index": 10234}
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: Isabella, Chloe, Owen, James, and Mason. \"(Chloe is a knave) or Mason is a knight\" - Isabella. \"(James is a knight if and only if Mason is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1345, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"ly...
{"split": "train", "index": 10235}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Grace, Jacob, Liam, and Emily. James said, \"(Liam is a knave if and only if Liam is a knight) and (Jacob is a knave).\" Grace was heard sayin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1346, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\",...
{"split": "train", "index": 10236}
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, Noah, William, Lily, and Zoey. Matthew was heard saying, \"William is a fool and (if Matthew is a sage then William is a sage)\". Noah expressed t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1347, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>...
{"split": "train", "index": 10237}
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, Aiden, Matthew, Jacob, and Riley. Oliver commented, \"it is not the case that (Riley is an altruist and Matthew is an altruist)\". As A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1348, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telli...
{"split": "train", "index": 10238}
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, Ella, James, Owen, and Joseph. Noah commented, \"if (Ella is a saint or James is a sinner) then (if Ella is a sinner then Owen is a saint)\". A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1349, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-tru...
{"split": "train", "index": 10239}
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: Evelyn, David, Isabella, Ava, and James. \"(if Evelyn is an altruist then David is an altruist) and (David is an altruist if and only if David ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1350, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", ...
{"split": "train", "index": 10240}
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, Victoria, Olivia, Sofia, and Liam. Emma told you that (Liam is a knight) and (Victoria is a knight or Liam is a knight). Victoria said, \"(Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1351, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4],...
{"split": "train", "index": 10241}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Sebastian, Mason, William, and Scarlett. David stated, \"Scarlett is a pioneer\". Sebastian said that (Mason is a laggard and Mason is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1352, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 0]], [\"<=>\", [\"tel...
{"split": "train", "index": 10242}
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: Riley, Matthew, Samuel, Ella, and Jacob. Riley asserted: \"(if Jacob is a devil then Samuel is a devil) if and only if (Riley is an angel and Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1353, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 4], [...
{"split": "train", "index": 10243}
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, Samuel, Luke, Riley, and Penelope. \"it is not the case that (Scarlett is a sage and Luke is a fool and Luke is a sage),\" Scarlett claimed. Samu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1354, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lyin...
{"split": "train", "index": 10244}
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, Matthew, Abigail, Riley, and Emma. Samuel noted, \"(Abigail is a sage or Emma is a fool or Samuel is a sage) if and only if (Riley is a sage or Ril...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1355, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\...
{"split": "train", "index": 10245}
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: Sebastian, Evelyn, Jackson, Alexander, and Mason. Sebastian was heard saying, \"(Evelyn is a knave and Alexander is a knight and Evelyn is a knight) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1356, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-...
{"split": "train", "index": 10246}
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, Mason, Liam, Sofia, and Jackson. \"if (Jackson is a sage or Sofia is a sage) then (Mason is a fool),\" Mia declared. \"Liam is a sage,\" Mason claimed...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1357, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 1]], ...
{"split": "train", "index": 10247}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ella, Logan, Elizabeth, Lily, and Scarlett. Ella stated, \"Logan is an angel\". Logan commented, \"(Scarlett is an angel and Scarlett is a devil and El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1358, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [...
{"split": "train", "index": 10248}
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: Isabella, Owen, Mason, Charlotte, and Harper. \"(Isabella is a villain) and (Isabella is a hero or Harper is a hero or Owen is a hero),\" Isabella cl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1359, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"no...
{"split": "train", "index": 10249}
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: Avery, Sophia, Sofia, Ethan, and Olivia. According to Avery, \"(Ethan is an egoist and Olivia is an altruist and Ethan is an altruist) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1360, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\",...
{"split": "train", "index": 10250}
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: Sophia, Ethan, David, Lily, and Logan. Sophia asserted: \"(Lily is a villain and Logan is a villain) if and only if David is a villain\". \"if (Logan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1361, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"or\", [\"or\"...
{"split": "train", "index": 10251}
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: Amelia, Avery, David, Charlotte, and Evelyn. Amelia noted, \"(if Evelyn is a sage then Evelyn is a fool) and (if Charlotte is a fool then David is a fool)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1362, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"telling-trut...
{"split": "train", "index": 10252}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Victoria, Amelia, Sofia, and Ethan. In a statement by James: \"it is not the case that (Amelia is a knight and Sofia is a knave)\". In Victori...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1363, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\"...
{"split": "train", "index": 10253}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Liam, Jacob, Logan, and Riley. In Jack's words: \"if (Riley is a saint and Logan is a sinner and Logan is a saint) then (Logan is a saint and L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1364, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"ly...
{"split": "train", "index": 10254}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: James, Benjamin, Lily, Liam, and Aria. James commented, \"Liam is a pioneer or (Benjamin is a pioneer if and only if Benjamin is a laggard)\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1365, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-tru...
{"split": "train", "index": 10255}
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, Avery, Riley, Ethan, and David. As Liam put it, \"if David is a saint then (Riley is a saint or David is a sinner)\". \"Riley is a sinner,\" Av...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1366, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [...
{"split": "train", "index": 10256}
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, Noah, Sofia, Henry, and Daniel. Lily was heard saying, \"if (if Daniel is a villain then Sofia is a hero) then Sofia is a villain\". \"Lily is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1367, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 2]], [\"lying\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"lying\", 1]], [\"lying\", 3]], \"sol...
{"split": "train", "index": 10257}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sophia, Avery, Penelope, Alexander, and Michael. Sophia told you that (if Avery is a laggard then Sophia is a pioneer) and (Avery is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 4]], [\"lying\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying...
{"split": "train", "index": 10258}
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, Zoey, William, Benjamin, and Victoria. Logan commented, \"if (Victoria is a knight and Benjamin is a knight and William is a knight) then (Ben...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1369, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"telling-trut...
{"split": "train", "index": 10259}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Abigail, Sophia, Emma, and David. In Aiden's words: \"David is a knight and Emma is a knight\". Abigail noted, \"(if Aiden is a knight then Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1370, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [...
{"split": "train", "index": 10260}
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: Oliver, Jacob, Ava, Zoey, and Ethan. Oliver said that it is not the case that (Jacob is an angel). Jacob told you that if (Ava is an angel if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1371, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-...
{"split": "train", "index": 10261}
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, Ava, Henry, James, and Samuel. \"if (Samuel is a devil and Henry is an angel) then (James is an angel and Ava is a devil),\" Jackson claimed. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1372, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"tellin...
{"split": "train", "index": 10262}
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: Matthew, Jacob, James, Aria, and Jackson. \"it is not the case that (Jacob is an angel),\" Matthew declared. \"if (Matthew is a devil if and only if Ar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1373, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"not\", [\"or...
{"split": "train", "index": 10263}
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: William, Samuel, Abigail, Victoria, and Oliver. William noted, \"Abigail is a knight\". In a statement by Samuel: \"it is not the case that (Victoria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1374, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [...
{"split": "train", "index": 10264}
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, Lucas, Mason, Aurora, and Ella. \"it is not the case that (Mason is a villain and Lucas is a hero),\" Lily declared. \"(Aurora is a villain and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1375, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], ...
{"split": "train", "index": 10265}
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, Grace, Sophia, Luke, and Michael. Harper said that if Luke is a fool then (Michael is a fool or Sophia is a fool). According to Grace, \"(Grace is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1376, \"statements\": [[\"->\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"lying\", 1], [\"not\", [\"telling-truth\",...
{"split": "train", "index": 10266}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, Ethan, Owen, Penelope, and Luke. \"it is not the case that (Luke is a saint)\" - Jacob. Ethan said that (Penelope is a sinner or Luke is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1377, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"...
{"split": "train", "index": 10267}
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: Daniel, Isabella, Aria, Ava, and Emma. Daniel commented, \"(if Aria is a saint then Emma is a saint) and Aria is a saint and (if Aria is a sinner the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1378, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 1], [\"not\", [\"or\", [\"lying\", 1], [\"tellin...
{"split": "train", "index": 10268}
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: Elizabeth, Harper, Sofia, Aiden, and Henry. \"it is not the case that (Sofia is a laggard),\" Elizabeth mentioned. Harper asserted: \"if (Sofia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1379, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lyin...
{"split": "train", "index": 10269}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Sebastian, Benjamin, Chloe, and Amelia. \"(Sebastian is a laggard if and only if Chloe is a laggard) and (Sebastian is a pioneer and Benj...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1380, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\...
{"split": "train", "index": 10270}
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: Daniel, Evelyn, Zoey, Liam, and Riley. As Daniel put it, \"Evelyn is a sage\". In Evelyn's words: \"Riley is a sage\". According to Zoey, \"if (Daniel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1381, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [...
{"split": "train", "index": 10271}
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, Liam, Benjamin, Samuel, and Chloe. Amelia asserted: \"if (Chloe is an altruist) then (Samuel is an altruist)\". As Liam put it, \"(Amel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1382, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 0]]...
{"split": "train", "index": 10272}
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, Luke, Mason, Sebastian, and Matthew. \"(Matthew is a sinner) or (Luke is a sinner if and only if Sebastian is a saint)\" - Noah. \"Matthew is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1383, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"te...
{"split": "train", "index": 10273}
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, Evelyn, Ella, Jack, and Sofia. Ava expressed that (if Evelyn is a devil then Sofia is an angel) and (if Evelyn is a devil then Jack is a devil). E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1384, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-...
{"split": "train", "index": 10274}
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: Penelope, Ava, Zoey, Victoria, and Harper. As Penelope put it, \"(Zoey is a villain or Victoria is a hero) and (Harper is a villain if and only if Zo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1385, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"lying\", ...
{"split": "train", "index": 10275}
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, Alexander, William, Ava, and Emma. Chloe asserted: \"(Alexander is a laggard and Alexander is a pioneer and Chloe is a pioneer) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1386, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"...
{"split": "train", "index": 10276}
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, Mason, Luke, Ethan, and Zoey. \"(Zoey is a saint if and only if Zoey is a sinner) and (Zoey is a saint)\" - James. \"(Zoey is a saint and Jame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1387, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-t...
{"split": "train", "index": 10277}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Emma, Samuel, Riley, and Mason. Victoria told you that if (Emma is a devil or Samuel is an angel) then (Samuel is a devil and Emma is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]...
{"split": "train", "index": 10278}
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, Jackson, Liam, Mia, and Emily. In Noah's words: \"(Mia is a saint) and (Liam is a sinner or Jackson is a saint or Mia is a saint)\". Jackson ex...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 2]], [\"<=>\", [\"<=>\", [...
{"split": "train", "index": 10279}
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, Alexander, Grace, Zoey, and Daniel. According to Isabella, \"(Grace is an angel and Alexander is an angel and Daniel is a devil) or (Zoey is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"not...
{"split": "train", "index": 10280}
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, Olivia, Matthew, Victoria, and Benjamin. Samuel said, \"(Benjamin is a sage and Samuel is a sage and Matthew is a fool) and (Matthew is a fool and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"not\", [\"and\", [\"telling-truth\", 2]...
{"split": "train", "index": 10281}
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: Lily, James, David, Ava, and Ella. Lily commented, \"David is a laggard if and only if (Ava is a laggard or Lily is a pioneer or David is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"<=>\", [\"lying\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]]...
{"split": "train", "index": 10282}
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, Mia, Abigail, Sofia, and Emma. As Olivia put it, \"Abigail is a fool\". Mia asserted: \"(Abigail is a fool if and only if Emma is a sage) and (Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"t...
{"split": "train", "index": 10283}
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: Ella, Harper, Matthew, Lucas, and Ava. Ella stated, \"Harper is a hero\". \"it is not the case that (Matthew is a hero or Ella is a hero or Lucas is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\"...
{"split": "train", "index": 10284}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Alexander, Ava, Owen, Grace, and Emma. In Alexander's words: \"(Owen is a fool and Owen is a sage and Ava is a fool) or (Alexander is a sage if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"ly...
{"split": "train", "index": 10285}
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, Sofia, Aria, William, and Scarlett. \"(if Scarlett is an angel then Aria is an angel) if and only if (if Amelia is an angel then Sofia is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2],...
{"split": "train", "index": 10286}
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: Emma, Lily, Jackson, Victoria, and Zoey. Emma asserted: \"(Jackson is a hero and Emma is a hero and Zoey is a villain) and Jackson is a hero\". Lily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"lying\", 0]]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"->\", [\"lying\...
{"split": "train", "index": 10287}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: James, Olivia, Ava, Charlotte, and Ella. James told you that if (Olivia is a laggard or Ava is a pioneer) then (Charlotte is a pioneer if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-tru...
{"split": "train", "index": 10288}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: James, Amelia, Liam, Lily, and Sofia. James noted, \"it is not the case that (James is an altruist and Amelia is an egoist and Amelia is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 1]]], [\"lying\", 2], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"no...
{"split": "train", "index": 10289}
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: Jackson, Avery, Luke, Scarlett, and Aria. Jackson commented, \"it is not the case that (Aria is a fool)\". Avery remarked, \"it is not the case that (Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\",...
{"split": "train", "index": 10290}
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: Jacob, Abigail, Matthew, Samuel, and Victoria. \"if (Matthew is a devil and Abigail is a devil) then (Matthew is a devil),\" Jacob claimed. Abigail rem...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"telling-t...
{"split": "train", "index": 10291}
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, Evelyn, Lucas, Samuel, and David. In Liam's words: \"(Evelyn is a sage) if and only if (Lucas is a fool and David is a fool)\". In Evelyn's words: \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"lying\", 0], [\"->\", [\"not\", [...
{"split": "train", "index": 10292}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Penelope, Mason, James, and Avery. In Logan's words: \"James is a saint\". \"it is not the case that (James is a saint if and only if Penelope...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"...
{"split": "train", "index": 10293}
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, James, Abigail, Daniel, and Luke. \"Abigail is a pioneer and (James is a laggard if and only if Luke is a laggard) and (James is a lagga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]...
{"split": "train", "index": 10294}
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: Emily, Luke, Isabella, Noah, and Victoria. Emily remarked, \"Victoria is a laggard\". According to Luke, \"Noah is a pioneer\". Isabella told y...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"lying\", 4], [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\",...
{"split": "train", "index": 10295}
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: Penelope, Ella, Ava, Riley, and Grace. \"if Grace is a fool then (Penelope is a sage if and only if Riley is a sage),\" Penelope declared. In Ella's words:...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"->\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4...
{"split": "train", "index": 10296}
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: Abigail, Chloe, Emily, William, and Henry. Abigail was heard saying, \"William is an angel\". Chloe commented, \"it is not the case that (if Abigail is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"t...
{"split": "train", "index": 10297}
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: Harper, Elizabeth, Ethan, Daniel, and Lucas. Harper stated, \"it is not the case that (Ethan is a devil if and only if Elizabeth is an angel)\". \"if D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 1]], [\"not\", [\...
{"split": "train", "index": 10298}
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: Abigail, Olivia, Isabella, Jack, and Lucas. Abigail commented, \"if (Jack is a knave or Abigail is a knight) then Lucas is a knave\". Olivia said tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 4]], [\"telling-truth\", 3], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 1], [\...
{"split": "train", "index": 10299}