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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Oliver, Elizabeth, Owen, and Abigail. Amelia said, \"it is not the case that (Abigail is a sage or Oliver is a fool or Owen is a fool).\" Oliver wa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 1]]...
{"split": "train", "index": 9000}
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, Avery, Daniel, Benjamin, and Joseph. According to Alexander, \"(Avery is a fool if and only if Daniel is a sage) or (Avery is a fool and Joseph ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], \"s...
{"split": "train", "index": 9001}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, Samuel, William, Aiden, and Jacob. \"William is an angel,\" Emma mentioned. \"Aiden is an angel,\" Samuel claimed. William told you that (William...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-t...
{"split": "train", "index": 9002}
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, Isabella, Emily, Daniel, and Lucas. Olivia said that Isabella is a saint and (Daniel is a saint or Olivia is a saint or Lucas is a saint) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\...
{"split": "train", "index": 9003}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Joseph, Charlotte, Mason, Sebastian, and Sophia. Joseph commented, \"(Sophia is a pioneer and Charlotte is a pioneer and Charlotte is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2...
{"split": "train", "index": 9004}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Matthew, Noah, Owen, Emma, and Charlotte. In a statement by Matthew: \"if Emma is an egoist then (if Charlotte is an altruist then Emma is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"...
{"split": "train", "index": 9005}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Abigail, Samuel, Elizabeth, Charlotte, and Mia. Abigail was heard saying, \"if (Elizabeth is a villain if and only if Charlotte is a villain) then El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 2]], [\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 2],...
{"split": "train", "index": 9006}
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, Luke, Michael, Sebastian, and Ethan. According to Aria, \"(Ethan is a sage or Luke is a sage or Aria is a sage) or (Aria is a sage if and only if Mic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 0], [\"not\", [\"or\", [\"lying\", 1], [\...
{"split": "train", "index": 9007}
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, Benjamin, Avery, Zoey, and Isabella. \"Avery is a sage or (Isabella is a fool if and only if Zoey is a sage),\" Sofia declared. \"(Isabella is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\...
{"split": "train", "index": 9008}
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: Jackson, Michael, Emily, Matthew, and Avery. Jackson told you that (Emily is a laggard if and only if Avery is a laggard) if and only if (if Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"lying\", 0], [\"...
{"split": "train", "index": 9009}
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, Harper, Lucas, Sophia, and Aurora. \"it is not the case that (if Harper is a sinner then Logan is a saint),\" Logan claimed. As Harper put it,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [...
{"split": "train", "index": 9010}
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, Elizabeth, Daniel, Olivia, and Ethan. \"it is not the case that (if Olivia is a villain then Elizabeth is a hero)\" - Zoey. In a statement by E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 1], [\"->\", [\"te...
{"split": "train", "index": 9011}
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: Evelyn, Logan, Mason, Jack, and Olivia. In Evelyn's words: \"if (Logan is a knave if and only if Jack is a knave) then (Mason is a knave if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lyi...
{"split": "train", "index": 9012}
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, Chloe, Amelia, Daniel, and Lucas. Jack expressed that Daniel is a fool. Chloe noted, \"(if Amelia is a fool then Amelia is a sage) and (if Daniel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"lying\", 3], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 2]...
{"split": "train", "index": 9013}
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: Michael, Henry, Aiden, Isabella, and Aurora. Michael said that it is not the case that (Aurora is a knight or Henry is a knave or Aurora is a knave)....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"...
{"split": "train", "index": 9014}
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, Benjamin, Logan, Luke, and Aurora. As Elizabeth put it, \"(Luke is an angel and Aurora is a devil) or Benjamin is an angel\". Benjamin expre...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"and\", [\"->...
{"split": "train", "index": 9015}
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: Abigail, Emma, Sofia, Logan, and Owen. Abigail commented, \"(Emma is a laggard or Sofia is a laggard) if and only if (Sofia is a pioneer and Ow...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"te...
{"split": "train", "index": 9016}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Matthew, Emily, Oliver, and Daniel. \"it is not the case that (Oliver is a villain or Daniel is a villain or Aria is a hero)\" - Aria. Matthew ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"t...
{"split": "train", "index": 9017}
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, Aria, Matthew, Victoria, and Lucas. In a statement by Lily: \"Victoria is a hero or (Victoria is a hero and Victoria is a villain and Aria is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling...
{"split": "train", "index": 9018}
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, Lucas, Lily, Luke, and Chloe. Sofia told you that if (Chloe is an angel and Luke is a devil and Sofia is an angel) then (Luke is an angel if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]],...
{"split": "train", "index": 9019}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Ava, Emily, Emma, and James. Jack said, \"if (Jack is an angel if and only if Ava is an angel) then (if Ava is an angel then James is a devil).\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"tell...
{"split": "train", "index": 9020}
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, Benjamin, Ella, Daniel, and Joseph. In Sebastian's words: \"it is not the case that (if Ella is a knave then Joseph is a knave)\". \"it is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", ...
{"split": "train", "index": 9021}
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, Matthew, William, Henry, and Grace. Evelyn was heard saying, \"William is a pioneer and (if William is a laggard then Evelyn is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 132, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"lying\", 0], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\...
{"split": "train", "index": 9022}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Emily, Lucas, Isabella, and Zoey. Samuel said, \"it is not the case that (Isabella is a saint if and only if Zoey is a sinner).\" \"it is not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 133, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"lyi...
{"split": "train", "index": 9023}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Evelyn, Zoey, David, Lucas, and Olivia. Evelyn noted, \"(David is a fool if and only if Zoey is a sage) if and only if (if Lucas is a fool then Zoey is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 134, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], ...
{"split": "train", "index": 9024}
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, Elizabeth, Scarlett, Abigail, and Ethan. In a statement by Lucas: \"(Scarlett is a knave if and only if Elizabeth is a knave) or (Scarlett is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 135, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", ...
{"split": "train", "index": 9025}
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, Oliver, Michael, Aurora, and Logan. Alexander said, \"Logan is an egoist.\" Oliver expressed that Michael is an egoist and (Alexande...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 136, \"statements\": [[\"lying\", 4], [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 9026}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Henry, Sophia, Aria, and Grace. Noah told you that (Henry is a laggard if and only if Grace is a pioneer) and Grace is a laggard. As Henr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 137, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"tellin...
{"split": "train", "index": 9027}
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, Mason, Michael, Aiden, and Victoria. According to Lily, \"if Mason is a knave then (Mason is a knave)\". Mason stated, \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 138, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"l...
{"split": "train", "index": 9028}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, Sebastian, Ethan, Matthew, and Jacob. As Charlotte put it, \"Matthew is a saint\". As Sebastian put it, \"Matthew is a sinner and (Ethan i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 139, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4]], [\"and\", ...
{"split": "train", "index": 9029}
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, Noah, Grace, Penelope, and Mason. Olivia commented, \"it is not the case that (Noah is a devil if and only if Mason is a devil)\". Noah noted, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 140, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"lying\", 0], [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\", 1...
{"split": "train", "index": 9030}
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, Penelope, Grace, Michael, and Abigail. According to Aria, \"Penelope is a sage if and only if (if Grace is a sage then Michael is a sage)\". Penelope...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 141, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], ...
{"split": "train", "index": 9031}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Sebastian, Aria, Harper, and Grace. In a statement by Ava: \"(Ava is an angel and Harper is a devil and Aria is a devil) if and only if (Harper is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 142, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\...
{"split": "train", "index": 9032}
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, Avery, Luke, Jackson, and Logan. William told you that (Avery is a pioneer and Luke is a pioneer and Luke is a laggard) and (Logan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 143, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-trut...
{"split": "train", "index": 9033}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Abigail, Ella, Luke, Jacob, and Mason. Abigail said that it is not the case that (Jacob is an egoist or Luke is an altruist). Ella said, \"it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 144, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 1]]], [\"or...
{"split": "train", "index": 9034}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Ella, Michael, Evelyn, and Ava. Aria was heard saying, \"if (Ella is an angel and Ava is an angel) then (Michael is a devil or Michael is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 145, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 9035}
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, Aria, Lily, Sofia, and Scarlett. Matthew was heard saying, \"Lily is a fool\". Aria told you that (Lily is a fool or Aria is a sage or Scarlett is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"lying\", 2], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\"...
{"split": "train", "index": 9036}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Lucas, Mason, Scarlett, and Luke. \"(Scarlett is a knave) or (Scarlett is a knight and Luke is a knight) or (Luke is a knight if and only if Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 147, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"ly...
{"split": "train", "index": 9037}
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, William, Elizabeth, Lily, and Lucas. In a statement by Mia: \"(Lucas is a hero or Elizabeth is a villain or William is a villain) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-trut...
{"split": "train", "index": 9038}
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, Ava, Sofia, Emma, and Amelia. \"if (Emma is a fool if and only if Amelia is a fool) then (if Amelia is a fool then Emma is a sage),\" Aria claimed. A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"te...
{"split": "train", "index": 9039}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Charlotte, Chloe, Daniel, and Jacob. Zoey commented, \"(Zoey is an altruist or Daniel is an egoist or Chloe is an egoist) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 150, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"tell...
{"split": "train", "index": 9040}
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, Grace, Ava, Penelope, and Jack. In a statement by Sebastian: \"(if Sebastian is a knight then Jack is a knight) if and only if Sebastian i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 151, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-tr...
{"split": "train", "index": 9041}
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: Owen, Aria, Penelope, Benjamin, and Scarlett. According to Owen, \"if (Scarlett is a laggard or Aria is a pioneer or Scarlett is a pioneer) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 152, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\",...
{"split": "train", "index": 9042}
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: Victoria, Aiden, Zoey, Grace, and Mia. In a statement by Victoria: \"it is not the case that (if Grace is a laggard then Grace is a pioneer)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 153, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 2], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"tell...
{"split": "train", "index": 9043}
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, Matthew, Amelia, Charlotte, and Henry. Isabella said, \"it is not the case that (Henry is a sinner and Amelia is a saint).\" According to M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 154, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"...
{"split": "train", "index": 9044}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Riley, Jack, Elizabeth, Olivia, and Mia. \"(Jack is an egoist or Mia is an egoist or Elizabeth is an altruist) if and only if (Elizabeth is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 155, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lyi...
{"split": "train", "index": 9045}
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: Ella, Abigail, Henry, Samuel, and Penelope. \"it is not the case that (Ella is a saint or Henry is a saint),\" Ella mentioned. Abigail was heard sayi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 156, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-...
{"split": "train", "index": 9046}
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: Henry, Joseph, Samuel, William, and Sebastian. Henry remarked, \"it is not the case that (Samuel is a villain if and only if Sebastian is a hero)\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 157, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"<=>...
{"split": "train", "index": 9047}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, Aurora, Noah, Avery, and Victoria. \"Victoria is a saint if and only if (Avery is a saint and Aurora is a sinner),\" Charlotte mentioned. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 158, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 9048}
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, Isabella, Jacob, Oliver, and Charlotte. As Jackson put it, \"(Charlotte is a devil if and only if Oliver is a devil) and Jacob is a devil and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 159, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]],...
{"split": "train", "index": 9049}
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: Zoey, Avery, Emily, Daniel, and Jacob. Zoey said, \"Daniel is a devil.\" Avery told you that (Emily is a devil if and only if Daniel is a devil) or (Zo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 160, \"statements\": [[\"lying\", 3], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lyin...
{"split": "train", "index": 9050}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Avery, Sebastian, Grace, Ella, and Mason. Avery commented, \"(Mason is a sage) if and only if (Grace is a sage or Ella is a sage)\". \"if (Grace is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 161, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], ...
{"split": "train", "index": 9051}
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: William, Scarlett, Chloe, Charlotte, and Michael. William stated, \"(Scarlett is a hero and Charlotte is a hero) or (Michael is a hero if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 162, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\",...
{"split": "train", "index": 9052}
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: Luke, Samuel, Owen, Zoey, and Matthew. Luke commented, \"(Samuel is an egoist and Zoey is an altruist) or (Zoey is an egoist or Matthew is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 163, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"tellin...
{"split": "train", "index": 9053}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Henry, Chloe, Aiden, and Zoey. \"(Aiden is an altruist or Isabella is an altruist) or (Henry is an egoist if and only if Aiden is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 164, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"lying\", 2], [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]]]...
{"split": "train", "index": 9054}
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, Luke, James, Aria, and Michael. \"(James is an egoist and Michael is an altruist and Aria is an egoist) or (if Aria is an egoist the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 165, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 3], [\"telling-truth\", 4], [\"...
{"split": "train", "index": 9055}
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, Alexander, Victoria, Noah, and Abigail. \"(Abigail is a laggard or Noah is a laggard) and (Abigail is a pioneer or Victoria is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 166, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying...
{"split": "train", "index": 9056}
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: Amelia, Abigail, William, Scarlett, and Penelope. Amelia told you that (Penelope is a hero and Scarlett is a villain) if and only if (Penelope is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 167, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 2]], [\"<...
{"split": "train", "index": 9057}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Luke, Logan, Amelia, Ella, and Ava. Luke noted, \"(Amelia is a villain and Ava is a hero and Ella is a hero) and (Luke is a hero and Ella is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 168, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\"...
{"split": "train", "index": 9058}
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, Ava, Sofia, Benjamin, and Liam. \"it is not the case that (if Scarlett is a pioneer then Sofia is a laggard),\" Scarlett declared. Av...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 169, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 9059}
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, Ava, Harper, Charlotte, and Liam. Alexander remarked, \"it is not the case that (Alexander is an altruist and Ava is an egoist)\". A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 170, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"lying\", 0]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"not\", [\"...
{"split": "train", "index": 9060}
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: Victoria, Mia, Lily, Zoey, and Avery. \"(Mia is a pioneer) or (Lily is a pioneer) or (if Mia is a laggard then Avery is a pioneer),\" Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 171, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 2]], [\"not\", [\"not\", [\"lying\", 4]]],...
{"split": "train", "index": 9061}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Scarlett, Mia, Chloe, and Lucas. David noted, \"Chloe is an altruist\". As Scarlett put it, \"Chloe is an altruist\". \"Scarlett is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 172, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"lying\", 1], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [...
{"split": "train", "index": 9062}
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, Matthew, Jackson, Michael, and Ethan. Jacob was heard saying, \"Ethan is an altruist if and only if (Jacob is an altruist and Ethan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 173, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], ...
{"split": "train", "index": 9063}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Henry, Zoey, Sofia, and Ella. According to Sebastian, \"if Zoey is an angel then Sofia is an angel\". \"(Zoey is an angel and Zoey is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 174, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"or\", [\"telling...
{"split": "train", "index": 9064}
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, Mia, Lucas, Sofia, and Matthew. \"if (Sofia is a saint) then (Riley is a saint if and only if Matthew is a sinner)\" - Riley. In Mia's words: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 175, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 0], [\"and\", [\"<...
{"split": "train", "index": 9065}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Liam, Scarlett, Abigail, and Mason. According to Ethan, \"(Abigail is a devil and Mason is a devil) and (if Ethan is an angel then Abigail is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 176, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"->...
{"split": "train", "index": 9066}
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, Matthew, Aiden, Isabella, and Noah. \"(Matthew is a devil or Isabella is an angel or Noah is a devil) or (if Isabella is a devil then Aiden is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 177, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\",...
{"split": "train", "index": 9067}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Elizabeth, Ella, Lily, Olivia, and Benjamin. Elizabeth commented, \"Benjamin is a villain or (Benjamin is a villain) or (Olivia is a hero or Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 0]], [\"telling-truth\...
{"split": "train", "index": 9068}
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, Grace, Alexander, Harper, and Henry. William said, \"Henry is an angel.\" Grace stated, \"it is not the case that (if Henry is an angel then G...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 179, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"o...
{"split": "train", "index": 9069}
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: Ella, Jack, Isabella, Emma, and Jacob. In a statement by Ella: \"(Isabella is a saint) or (Jacob is a sinner if and only if Jacob is a saint)\". In a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 180, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\",...
{"split": "train", "index": 9070}
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, Noah, Ella, Harper, and Avery. In a statement by Riley: \"Noah is a devil\". \"if (Noah is an angel or Avery is an angel or Riley is a devil) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 181, \"statements\": [[\"lying\", 1], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 1]],...
{"split": "train", "index": 9071}
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, Mia, Ella, Aiden, and Emma. As Alexander put it, \"it is not the case that (if Ella is a sage then Alexander is a sage)\". \"it is not the case ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 182, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>...
{"split": "train", "index": 9072}
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, Olivia, Owen, Noah, and Jack. Isabella said, \"it is not the case that (Isabella is a sinner).\" Olivia commented, \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 183, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 1]], [\"->\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 9073}
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: Aurora, Grace, Owen, Lily, and Victoria. Aurora stated, \"(Lily is a fool) if and only if (Grace is a fool)\". Grace expressed that if (if Grace is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 184, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\...
{"split": "train", "index": 9074}
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, Alexander, Emily, David, and Noah. \"(Alexander is an angel if and only if Jackson is an angel) if and only if (Alexander is an angel and Davi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 185, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 1], [\"<=>\", [\"or\", [\"lying...
{"split": "train", "index": 9075}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Abigail, Elizabeth, Noah, Henry, and Sebastian. Abigail asserted: \"if Henry is a hero then (Sebastian is a villain and Henry is a villain and Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", ...
{"split": "train", "index": 9076}
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, Elizabeth, Mason, Luke, and Victoria. According to Noah, \"it is not the case that (if Victoria is a sinner then Elizabeth is a saint)\". Eliza...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 187, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-...
{"split": "train", "index": 9077}
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, Abigail, David, Ava, and Ethan. Emily said that Ethan is a pioneer. Abigail told you that Ethan is a pioneer or (if David is a laggard t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"no...
{"split": "train", "index": 9078}
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: Abigail, Isabella, Olivia, Aiden, and Harper. \"it is not the case that (if Olivia is a pioneer then Isabella is a laggard)\" - Abigail. \"(Har...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 0]], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], ...
{"split": "train", "index": 9079}
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, Grace, Emma, Noah, and Zoey. In Harper's words: \"(if Noah is an angel then Emma is a devil) and Grace is an angel and (if Zoey is an angel the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], ...
{"split": "train", "index": 9080}
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: Aurora, Matthew, Henry, Grace, and Ethan. \"(Aurora is a pioneer and Grace is a pioneer) and Ethan is a pioneer and (Ethan is a laggard if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4...
{"split": "train", "index": 9081}
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: Noah, Aurora, Avery, Joseph, and Ethan. \"if (Ethan is a hero or Avery is a villain or Aurora is a villain) then (Aurora is a hero or Noah is a hero)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"tellin...
{"split": "train", "index": 9082}
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, Ava, Aiden, Henry, and Evelyn. Victoria was heard saying, \"Aiden is a knave if and only if (Aiden is a knave if and only if Aiden is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"<=>\", [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"telli...
{"split": "train", "index": 9083}
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, Aiden, Elizabeth, Owen, and Evelyn. \"Aiden is a pioneer and (Owen is a pioneer),\" Henry claimed. Aiden commented, \"(Elizabeth is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\",...
{"split": "train", "index": 9084}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Liam, Daniel, Emily, and Avery. Mia told you that (Daniel is a sinner and Mia is a saint) if and only if (if Emily is a sinner then Daniel is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"telling-trut...
{"split": "train", "index": 9085}
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: Ava, Emily, Mason, Harper, and Charlotte. \"Charlotte is a hero if and only if (Emily is a hero if and only if Charlotte is a hero)\" - Ava. As Emily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"not\", [\"...
{"split": "train", "index": 9086}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Owen, Michael, Ella, Aria, and Samuel. Owen told you that Samuel is a saint and (Michael is a saint) and (Ella is a sinner and Owen is a saint and El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\...
{"split": "train", "index": 9087}
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, Elizabeth, Isabella, Jackson, and Daniel. In a statement by Noah: \"(Jackson is an egoist) and (Elizabeth is an altruist and Isabella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3...
{"split": "train", "index": 9088}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Jacob, Aiden, Penelope, and Sophia. Olivia remarked, \"if (if Penelope is a knight then Jacob is a knave) then (Penelope is a knave)\". Accor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"ly...
{"split": "train", "index": 9089}
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, Chloe, Ava, Lucas, and Charlotte. Penelope said that Chloe is an angel. Chloe noted, \"(Charlotte is a devil or Chloe is an angel or Penelope...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"lying\", 1], [\"or\", [\"lying\", 3], [\...
{"split": "train", "index": 9090}
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: Mason, Elizabeth, Sophia, Penelope, and Mia. Mason told you that if (Sophia is a sinner) then (if Mia is a sinner then Sophia is a sinner). \"if (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 2]], [\"telling-truth\", 0], [\"not\",...
{"split": "train", "index": 9091}
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, James, Elizabeth, Grace, and Mia. \"(Elizabeth is a knight and Mason is a knight and James is a knight) or Mason is a knight or (Elizabeth is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3], [\"or\", [\"not\", [\"lying\", 4]], ...
{"split": "train", "index": 9092}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Aiden, Charlotte, William, and Sofia. Abigail told you that (William is a saint and Charlotte is a sinner and William is a sinner) and (Char...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 3],...
{"split": "train", "index": 9093}
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: Joseph, Mia, Benjamin, Emily, and Amelia. \"(Emily is an egoist and Joseph is an altruist and Mia is an altruist) and (Benjamin is an egoist or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling...
{"split": "train", "index": 9094}
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: Owen, Aurora, William, Ethan, and Jackson. Owen commented, \"William is a devil\". As Aurora put it, \"it is not the case that (Jackson is a devil or E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"lying\", 2], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"and\", [\"lying\", 2], [\"->\", [\"lying\", 4], [\"lyin...
{"split": "train", "index": 9095}
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, Charlotte, Avery, Olivia, and Emily. In a statement by Elizabeth: \"(if Avery is a pioneer then Emily is a pioneer) and (Charlotte i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lyin...
{"split": "train", "index": 9096}
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: Jacob, Scarlett, Mason, Grace, and Joseph. \"Scarlett is a laggard if and only if (Mason is a pioneer and Grace is a pioneer),\" Jacob mentione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"<=>\", [\"lying\", 1], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], ...
{"split": "train", "index": 9097}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Noah, Victoria, Zoey, and Riley. Harper commented, \"it is not the case that (if Noah is a villain then Zoey is a hero)\". Noah told you that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 2]], [\"not\", [\"or\"...
{"split": "train", "index": 9098}
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: Jackson, Charlotte, James, Alexander, and Noah. Jackson commented, \"(James is a laggard) or (Alexander is a laggard) or (if Charlotte is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 2]]...
{"split": "train", "index": 9099}