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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: Logan, James, Matthew, William, and Jack. According to Logan, \"William is an egoist and (it is not the case that (if Matthew is an altruist th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1222, \"statements\": [[\"and\", [\"lying\", 3], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 0], [\"te...
{"split": "train", "index": 19000}
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, Liam, Abigail, and Emily. \"it is not the case that ((Abigail is a fool if and only if Matthew is a sage) and (Matthew is a fool or Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1223, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"...
{"split": "train", "index": 19001}
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: Victoria, Henry, Penelope, Daniel, and Logan. Victoria noted, \"if (it is not the case that (Henry is a knight if and only if Victoria is a knight)) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1224, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"telling-...
{"split": "train", "index": 19002}
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: Chloe, Zoey, Sebastian, Harper, and David. Chloe told you that (if (David is a villain) then (Zoey is a villain and Harper is a villain and Harper is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1225, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"<=>\", ...
{"split": "train", "index": 19003}
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: Matthew, Riley, Henry, Victoria, and Penelope. In Matthew's words: \"(it is not the case that (if Victoria is a hero then Riley is a villain)) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1226, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"lying\", 4], [\"n...
{"split": "train", "index": 19004}
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, Riley, Harper, Isabella, and Avery. Zoey stated, \"if Avery is a knight then ((Riley is a knave and Isabella is a knave and Avery is a knight a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1227, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 2]]]], [\"or\", [\"or\", [\"and\", [\"l...
{"split": "train", "index": 19005}
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: Victoria, Liam, Isabella, Lucas, and Grace. Victoria said, \"if (Isabella is a sage) then Lucas is a sage.\" Liam expressed that ((Lucas is a sage if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1228, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 4], [\...
{"split": "train", "index": 19006}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Riley, Sophia, Aurora, Abigail, and Oliver. Riley was heard saying, \"((Abigail is a sage or Riley is a sage or Aurora is a sage) if and only if (Oliver is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1229, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"ly...
{"split": "train", "index": 19007}
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, Grace, Mason, Ethan, and Lucas. Elizabeth noted, \"((Mason is a laggard or Elizabeth is a pioneer or Ethan is a laggard) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1230, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"...
{"split": "train", "index": 19008}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Sebastian, Aurora, Oliver, and Emily. Alexander remarked, \"Aurora is a knight\". Sebastian asserted: \"it is not the case that (it is not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1231, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"not\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"tellin...
{"split": "train", "index": 19009}
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, Chloe, Victoria, Sebastian, and Michael. Luke stated, \"Victoria is a pioneer\". \"(it is not the case that (Sebastian is a pioneer if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1232, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3...
{"split": "train", "index": 19010}
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: Mia, Lily, Evelyn, Ava, and Emily. Mia noted, \"((Evelyn is a laggard and Mia is a pioneer and Emily is a laggard and Ava is a pioneer) and Eve...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1233, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], ...
{"split": "train", "index": 19011}
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: Matthew, Jack, Sophia, Emily, and Mason. In Matthew's words: \"(Matthew is a hero or Emily is a villain or (Jack is a hero and Jack is a villain and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1234, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 1],...
{"split": "train", "index": 19012}
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, Samuel, James, Lily, and Charlotte. As Oliver put it, \"(if Lily is an egoist then (Samuel is an egoist or James is an egoist or Charlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1235, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"lying\", 1]...
{"split": "train", "index": 19013}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, David, Riley, Henry, and Abigail. \"it is not the case that ((David is a knight if and only if Henry is a knight) and (Henry is a knight and R...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1236, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"<=>\", [\"not\", [\...
{"split": "train", "index": 19014}
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: Jacob, Ethan, Daniel, Sofia, and Jackson. Jacob remarked, \"(it is not the case that (Ethan is an egoist if and only if Sofia is an altruist)) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1237, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"or\", [\"telling-t...
{"split": "train", "index": 19015}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Zoey, Matthew, James, and Sofia. Ethan expressed that James is a knave. Zoey said that (if (Ethan is a knight if and only if James is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1238, \"statements\": [[\"lying\", 3], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 4]], [\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\"...
{"split": "train", "index": 19016}
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, Emily, Penelope, Abigail, and Ethan. \"(Noah is an egoist) and (if (Abigail is an altruist if and only if Noah is an altruist) then (Abig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1239, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\...
{"split": "train", "index": 19017}
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, Zoey, Abigail, Jackson, and Henry. Owen said that Zoey is an altruist. \"if (Abigail is an altruist or (Henry is an altruist and Owen is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1240, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\...
{"split": "train", "index": 19018}
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: Ethan, Sebastian, Jacob, Sofia, and Luke. \"(it is not the case that (if Sofia is a laggard then Sebastian is a laggard)) and ((Sebastian is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1241, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying...
{"split": "train", "index": 19019}
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, Logan, Victoria, Elizabeth, and David. In Jackson's words: \"if Elizabeth is a sage then ((David is a fool) and (David is a fool if and only if El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1242, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]], [\"lying\", 2]]], [\"->\", [\"not\", [\...
{"split": "train", "index": 19020}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Harper, Aria, Grace, and Riley. \"it is not the case that ((Harper is a saint and Riley is a saint and Aria is a saint and Grace is a saint) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1243, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]...
{"split": "train", "index": 19021}
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: Ethan, David, Scarlett, Michael, and Matthew. In Ethan's words: \"Scarlett is a fool\". \"((if Michael is a sage then Scarlett is a sage) and (Michael is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1244, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\", 1],...
{"split": "train", "index": 19022}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Riley, Amelia, Daniel, Matthew, and Evelyn. Riley said that ((Daniel is a sage if and only if Amelia is a sage) if and only if (Amelia is a sage and Evelyn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1245, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"te...
{"split": "train", "index": 19023}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Samuel, Luke, Grace, and Aiden. Sebastian expressed that if ((if Aiden is a sage then Luke is a sage) or (Samuel is a fool if and only if Aiden ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1246, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"t...
{"split": "train", "index": 19024}
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, Jack, Mason, Harper, and Liam. \"(it is not the case that (Harper is a hero)) or Liam is a hero or Harper is a hero,\" Daniel claimed. \"(if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1247, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1...
{"split": "train", "index": 19025}
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, James, Mason, Harper, and Chloe. Sofia told you that (if (Harper is a laggard) then (if Chloe is a pioneer then Chloe is a laggard)) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1248, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"telling-trut...
{"split": "train", "index": 19026}
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, Liam, Sophia, Oliver, and James. In a statement by Grace: \"if (it is not the case that (if James is a hero then Sophia is a hero)) then Grace...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1249, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"lying\", 3], [\"l...
{"split": "train", "index": 19027}
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, Benjamin, Aurora, Luke, and Emily. Mason commented, \"(if (Benjamin is a knave and Benjamin is a knight and Luke is a knave and Emily is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1250, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"ly...
{"split": "train", "index": 19028}
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: Daniel, Mason, Olivia, Chloe, and Ella. Daniel expressed that if (it is not the case that (Mason is an egoist)) then (if (Olivia is an egoist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1251, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"and\", ...
{"split": "train", "index": 19029}
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, Noah, Aurora, Jackson, and Benjamin. As Mia put it, \"(Jackson is a fool and Benjamin is a sage) and (if (if Jackson is a fool then Jackson is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1252, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 3]]], ...
{"split": "train", "index": 19030}
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, Daniel, Isabella, Sofia, and Abigail. Jack told you that Daniel is a sinner. Daniel said, \"((Sofia is a saint and Abigail is a sinner and Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1253, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-...
{"split": "train", "index": 19031}
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, Isabella, Noah, Emma, and Charlotte. \"if (if Emily is a hero then (Noah is a villain or Noah is a hero or Emily is a hero)) then ((if Charlot...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1254, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [...
{"split": "train", "index": 19032}
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, Ethan, Evelyn, Victoria, and Liam. Samuel told you that (if (Samuel is a fool) then (Ethan is a sage if and only if Liam is a fool)) and ((Ethan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1255, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"...
{"split": "train", "index": 19033}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, David, Evelyn, Isabella, and Emily. Logan expressed that ((Isabella is an altruist and David is an egoist and Evelyn is an egoist and Em...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1256, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 2]], [\"and\", [\"te...
{"split": "train", "index": 19034}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Matthew, Jackson, Lily, and Daniel. \"it is not the case that (if (Jackson is a pioneer or Daniel is a laggard or Matthew is a pioneer o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1257, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"<=>\", ...
{"split": "train", "index": 19035}
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: Sofia, Mason, Isabella, Aria, and Logan. \"if ((Mason is an angel) and (Aria is a devil and Aria is an angel and Sofia is an angel)) then ((Logan is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1258, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1],...
{"split": "train", "index": 19036}
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: Isabella, Riley, Aiden, Chloe, and Aurora. Isabella was heard saying, \"Riley is a fool\". In Riley's words: \"(Chloe is a sage or (if Aiden is a fool then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1259, \"statements\": [[\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lyin...
{"split": "train", "index": 19037}
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: Sofia, Isabella, Noah, Henry, and Emily. \"Emily is a knight,\" Sofia claimed. Isabella said, \"if Emily is a knight then (if (Emily is a knight and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1260, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 3]]], [\"n...
{"split": "train", "index": 19038}
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: Sophia, Jack, Grace, Henry, and Oliver. In Sophia's words: \"if Oliver is a sinner then Jack is a saint\". \"Jack is a saint or (it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1261, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 0], [\"telling-trut...
{"split": "train", "index": 19039}
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, Abigail, Benjamin, and Noah. Zoey stated, \"if ((Zoey is a hero and Noah is a hero and Lily is a villain) or Benjamin is a villain) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1262, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"lying\", 3]], [\"lying\", 3]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]],...
{"split": "train", "index": 19040}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emma, Joseph, Isabella, Matthew, and Ethan. Emma commented, \"Joseph is a sinner\". \"((Matthew is a sinner) or (Ethan is a sinner if and only if Mat...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1263, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth...
{"split": "train", "index": 19041}
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, Michael, David, Jackson, and Luke. James expressed that Luke is an egoist and Michael is an altruist. Michael expressed that (if (Luke i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1264, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-t...
{"split": "train", "index": 19042}
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: Benjamin, Samuel, Penelope, Liam, and Luke. Benjamin stated, \"(it is not the case that (Luke is a laggard)) if and only if ((if Benjamin is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1265, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 1], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"...
{"split": "train", "index": 19043}
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, Scarlett, Emily, Alexander, and Samuel. Jack said that Samuel is a pioneer. Scarlett told you that (Alexander is a laggard if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1266, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]], [\"not\", [\"or\...
{"split": "train", "index": 19044}
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, Olivia, Mia, Riley, and Oliver. Owen stated, \"((Olivia is a hero or Riley is a hero or Oliver is a villain or Oliver is a hero) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1267, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"not\", ...
{"split": "train", "index": 19045}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Harper, Ethan, Alexander, and Emma. According to Olivia, \"Ethan is a sinner or ((Ethan is a sinner and Alexander is a sinner) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1268, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0],...
{"split": "train", "index": 19046}
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: Aiden, William, Michael, Ava, and Sofia. Aiden asserted: \"if (if (if Sofia is an angel then Ava is an angel) then Michael is a devil) then ((Ava is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1269, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 2]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"<=>\", [\"lying\",...
{"split": "train", "index": 19047}
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, Mia, Henry, Sebastian, and Sophia. Ethan remarked, \"if ((Henry is a villain and Sophia is a hero and Henry is a hero) if and only if (Sophia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1270, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3...
{"split": "train", "index": 19048}
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, Lucas, Daniel, Logan, and Samuel. According to Grace, \"if (it is not the case that (Logan is a pioneer and Samuel is a pioneer and Luca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1271, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 2]]], [\"->\", [\"->\", [\"or\", [\"telling-...
{"split": "train", "index": 19049}
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, Noah, Victoria, Mason, and Scarlett. Liam commented, \"if (Victoria is an egoist and (Noah is an egoist and Victoria is an altruist and V...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1272, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 4], [\"telling-trut...
{"split": "train", "index": 19050}
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: Ethan, Riley, Emily, Evelyn, and Aurora. Ethan expressed that (if (if Emily is a saint then Evelyn is a saint) then (if Evelyn is a saint then Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1273, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 3], [\"and\", [\"lying\", 1], [\"telling-trut...
{"split": "train", "index": 19051}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Abigail, Henry, Mia, and Charlotte. According to David, \"(if (Charlotte is a devil or Henry is an angel or Abigail is a devil) then (if Abigail...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1274, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"tellin...
{"split": "train", "index": 19052}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Joseph, Aiden, Oliver, and Henry. Aurora commented, \"Aiden is a devil or ((Henry is a devil) and (Joseph is an angel if and only if Oliver is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1275, \"statements\": [[\"or\", [\"lying\", 2], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", ...
{"split": "train", "index": 19053}
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, Daniel, Mason, Logan, and Sofia. According to Harper, \"((Logan is an egoist or Sofia is an egoist or Harper is an altruist or Mason is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1276, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1...
{"split": "train", "index": 19054}
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, Oliver, Zoey, Lily, and Luke. \"it is not the case that ((Amelia is a sage and Lily is a sage and Oliver is a sage and Zoey is a sage) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1277, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\"...
{"split": "train", "index": 19055}
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, Ella, William, Elizabeth, and Sophia. Sofia told you that (Sophia is a fool) or ((Ella is a fool if and only if Elizabeth is a fool) and (Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1278, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"ly...
{"split": "train", "index": 19056}
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, William, Owen, Ethan, and Lily. Grace expressed that (if (Owen is a villain) then Ethan is a villain) and Ethan is a hero and ((Ethan is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1279, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 3]], [\"telling-truth\", 3], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2],...
{"split": "train", "index": 19057}
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, Aiden, Liam, Oliver, and Noah. \"it is not the case that (Oliver is an angel if and only if (Noah is an angel and Noah is a devil and William ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1280, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"->\", [\"telling-truth\", 4], [\"tell...
{"split": "train", "index": 19058}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Michael, Ethan, Mason, and Riley. Aurora noted, \"if (if (Michael is a knave if and only if Michael is a knight) then (Riley is a knave or Et...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1281, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"and\", ...
{"split": "train", "index": 19059}
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: Sofia, Benjamin, Lily, Luke, and Emily. In a statement by Sofia: \"if Luke is an angel then ((Sofia is an angel if and only if Benjamin is a devil) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1282, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 0]], [...
{"split": "train", "index": 19060}
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: Ethan, Noah, Emma, Scarlett, and Amelia. In Ethan's words: \"(Scarlett is a saint if and only if (Noah is a sinner or Noah is a saint)) and ((Emma is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1283, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 2]], [\"<=...
{"split": "train", "index": 19061}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Abigail, Owen, Logan, and Michael. \"if (if (Michael is an egoist) then (Owen is an altruist)) then ((Logan is an altruist if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1284, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]]], [...
{"split": "train", "index": 19062}
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, Emily, Luke, Chloe, and Noah. Sophia stated, \"Chloe is a villain\". \"Emily is a hero or (it is not the case that (Luke is a hero if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1285, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"lying\", 0], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"...
{"split": "train", "index": 19063}
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: Olivia, Alexander, Jack, Ethan, and Emily. Olivia noted, \"Alexander is a hero or (if (if Jack is a hero then Alexander is a hero) then (Ethan is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1286, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"...
{"split": "train", "index": 19064}
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, Luke, Sophia, Ethan, and Mason. As Jackson put it, \"(if (Ethan is an angel) then (Luke is a devil)) and (Mason is a devil and (Sophia is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1287, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1...
{"split": "train", "index": 19065}
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: Lily, Isabella, Grace, Harper, and Luke. Lily remarked, \"((Isabella is a knave or Luke is a knight or Grace is a knight or Grace is a knave) or Lily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1288, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-tr...
{"split": "train", "index": 19066}
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: Aiden, Michael, Oliver, Benjamin, and Scarlett. \"if (if (Scarlett is a pioneer) then (Benjamin is a pioneer or Michael is a pioneer)) then ((M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1289, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 2]],...
{"split": "train", "index": 19067}
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, Isabella, Victoria, Harper, and Ella. William was heard saying, \"Isabella is a laggard and (it is not the case that (Isabella is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1290, \"statements\": [[\"and\", [\"lying\", 1], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"lying\"...
{"split": "train", "index": 19068}
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, Mia, Penelope, Ella, and James. Grace asserted: \"(if (Penelope is a fool if and only if Grace is a sage) then (if James is a fool then Ella is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1291, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth\", 3]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", ...
{"split": "train", "index": 19069}
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: Lily, Daniel, Riley, Elizabeth, and Sebastian. Lily said, \"((Elizabeth is an altruist if and only if Sebastian is an altruist) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1292, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 3...
{"split": "train", "index": 19070}
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, Aurora, Charlotte, Penelope, and Lucas. \"Penelope is an angel,\" Olivia declared. \"Charlotte is a devil or ((Lucas is an angel if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1293, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"n...
{"split": "train", "index": 19071}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Grace, Mia, Chloe, and Sebastian. Scarlett said, \"it is not the case that (if (Sebastian is a laggard or Chloe is a laggard or Grace...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1294, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 1]], [\"lying\", 1]]], [\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-tr...
{"split": "train", "index": 19072}
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, Charlotte, Chloe, Benjamin, and Aurora. In a statement by Abigail: \"if (it is not the case that (Benjamin is a knave and Chloe is a knave a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1295, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]...
{"split": "train", "index": 19073}
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, Joseph, Jacob, Sebastian, and David. \"(it is not the case that (Joseph is a sage or David is a fool or Sebastian is a fool)) and (it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1296, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"...
{"split": "train", "index": 19074}
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, Jackson, Penelope, Abigail, and Daniel. Lily told you that (if (Lily is a hero if and only if Abigail is a villain) then (Penelope is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1297, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"<=>\", [\"and\", [\"->\", [\"telling-tru...
{"split": "train", "index": 19075}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Emily, Liam, Mason, and Emma. \"it is not the case that ((if Alexander is an altruist then Emily is an altruist) if and only if Maso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1298, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-...
{"split": "train", "index": 19076}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Avery, Aurora, Abigail, and James. \"((Avery is a sinner if and only if Abigail is a sinner) if and only if Avery is a sinner) and William i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1299, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"lying\", 1]], [\"telling-truth\", 0]], [\"lying\", 3], [\"telling-truth\", 1], [\"not\", [\"lying\", 4]], [\"->\", [\"not\", [\"->\", [\"...
{"split": "train", "index": 19077}
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, Lucas, Ava, Isabella, and Charlotte. In a statement by Noah: \"Noah is an altruist or (if (Charlotte is an altruist and Lucas is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1300, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"or\", [\"or\", [\"telli...
{"split": "train", "index": 19078}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Michael, Aria, Mia, Benjamin, and James. Michael told you that Aria is an altruist. Aria commented, \"(it is not the case that (if Michael is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1301, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"and\", ...
{"split": "train", "index": 19079}
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: Daniel, Mia, Ethan, Penelope, and Grace. Daniel told you that if ((Daniel is an egoist) and Penelope is an egoist) then (if (Mia is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1302, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"and\", [\"lying\", 3...
{"split": "train", "index": 19080}
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, Ethan, Lucas, Penelope, and Scarlett. \"Lucas is a pioneer,\" Sophia mentioned. \"Penelope is a laggard,\" Ethan claimed. Lucas told yo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1303, \"statements\": [[\"telling-truth\", 2], [\"lying\", 3], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\"...
{"split": "train", "index": 19081}
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, Amelia, Jack, Lily, and Penelope. Abigail was heard saying, \"Lily is a sage\". Amelia stated, \"it is not the case that (Abigail is a fool)\". Ac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1304, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]]]], [...
{"split": "train", "index": 19082}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sofia, Michael, Charlotte, Sebastian, and Oliver. \"((Michael is an altruist if and only if Sofia is an altruist) and Michael is an egoist) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1305, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 1]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"telling-truth\", 0], [\"or\", [\"and\", [\...
{"split": "train", "index": 19083}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Luke, Aurora, Jack, Owen, and Olivia. Luke stated, \"Jack is an angel\". Aurora was heard saying, \"Owen is an angel\". Jack told you that ((Luke is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1306, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 3], [\"or\", [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"telling-truth\", 0]...
{"split": "train", "index": 19084}
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: Evelyn, Jack, Oliver, James, and Riley. In a statement by Evelyn: \"((Oliver is a pioneer or James is a laggard) if and only if (Oliver is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1307, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], ...
{"split": "train", "index": 19085}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Sofia, Aria, Benjamin, and Amelia. Henry expressed that if (Sofia is a laggard and (if Sofia is a pioneer then Amelia is a pioneer) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1308, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3]]], [\"not\...
{"split": "train", "index": 19086}
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: Charlotte, Chloe, Olivia, Lucas, and Oliver. Charlotte remarked, \"Olivia is an altruist\". According to Chloe, \"(it is not the case that (Oli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1309, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 0]]]...
{"split": "train", "index": 19087}
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: Charlotte, Benjamin, Mia, Abigail, and Grace. \"((Mia is a pioneer or Benjamin is a pioneer) or (if Benjamin is a laggard then Grace is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\"...
{"split": "train", "index": 19088}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Zoey, Liam, Riley, and Sebastian. Elizabeth remarked, \"(if (Liam is a devil) then (Liam is a devil or Zoey is a devil)) or ((Riley is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [...
{"split": "train", "index": 19089}
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: Zoey, Noah, Joseph, Aurora, and Liam. Zoey said, \"Joseph is a fool.\" Noah told you that if Liam is a fool then (Zoey is a sage and (Noah is a sage or Jos...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"lying\", 2], [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"lying\", 2]]], [...
{"split": "train", "index": 19090}
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, Luke, Sophia, Owen, and Daniel. Aurora commented, \"Daniel is a saint if and only if Owen is a sinner\". According to Luke, \"if Aurora is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3]]]], [\"lying\", 4], [\"<=>\", [\"->\", [\"lying\", 2], [\"not\", [\"lying\", ...
{"split": "train", "index": 19091}
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: Benjamin, Noah, Sophia, Elizabeth, and Harper. Benjamin expressed that ((Harper is a villain and Benjamin is a hero and Noah is a villain) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 3]], [\"->\", [\"not\", [\"not\", [\"lying\"...
{"split": "train", "index": 19092}
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, Isabella, Charlotte, Harper, and Riley. Penelope told you that (if (Riley is a sinner) then Isabella is a sinner) and (it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\",...
{"split": "train", "index": 19093}
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, Sebastian, Ella, Sophia, and Owen. Penelope was heard saying, \"Ella is a sage\". In a statement by Sebastian: \"if (if (if Ella is a fool then S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\...
{"split": "train", "index": 19094}
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, Henry, Elizabeth, Jack, and Scarlett. In Aria's words: \"Jack is a fool if and only if (if (Jack is a fool and Scarlett is a fool) then (Elizabeth is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"<=>\", [\"lying\", 3], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]]]], [\"telling-truth\", 1], [\"->\", [\"and\", [\"->\", [\"ly...
{"split": "train", "index": 19095}
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: Penelope, Ethan, Mia, Mason, and Noah. As Penelope put it, \"Noah is a devil\". Ethan asserted: \"(it is not the case that (Mason is a devil)) and ((Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-trut...
{"split": "train", "index": 19096}
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, Mason, Michael, Grace, and Lily. Logan remarked, \"(Grace is a knave if and only if (Grace is a knave and Lily is a knave and Lily is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-tr...
{"split": "train", "index": 19097}
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, William, Luke, Aurora, and Lily. Penelope expressed that Luke is a fool. William commented, \"(if (Penelope is a fool or Lily is a sage or Willia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 4]], [\"not\", [\"telling-trut...
{"split": "train", "index": 19098}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Emily, James, Isabella, and Owen. \"((Isabella is a knave and James is a knave and Owen is a knave) or (James is a knight) or (Isabella is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]], [\"lying\", 2]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-t...
{"split": "train", "index": 19099}