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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 9 inhabitants: Isabella, Amelia, Evelyn, Grace, Scarlett, Luke, Sebastian, Emma, and Matthew. As Isabella put it, \"((Isabella is a pioneer or Evelyn is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2144, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5],...
{"split": "train", "index": 17700}
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 9 inhabitants: Avery, Amelia, Jackson, Sofia, Noah, Ethan, Scarlett, Evelyn, and Zoey. Avery said that it is not the case that ((Noah is a laggard and Zoey is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2145, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]]], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"ly...
{"split": "train", "index": 17701}
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 9 inhabitants: Daniel, Grace, Sofia, Elizabeth, Avery, Liam, Sophia, Charlotte, and Oliver. Daniel was heard saying, \"(it is not the case that (Elizabeth is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2146, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 7]]]], [\"<=>\", [\"not\"...
{"split": "train", "index": 17702}
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 9 inhabitants: Sophia, Sofia, Scarlett, Jacob, Elizabeth, Ava, Logan, Riley, and Evelyn. Sophia stated, \"Elizabeth is a saint or ((Sofia is a sinner if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2147, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 1]]]], [\"or\", [\"not\", [\"or\",...
{"split": "train", "index": 17703}
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 9 inhabitants: Aiden, Sophia, Harper, Isabella, Aurora, Emma, James, Emily, and Aria. As Aiden put it, \"((Emma is a saint and Harper is a saint) if and only if Isa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2148, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"lying\", 3]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]]], [\"lying\", 8]], [\"or\", [\"not\", [\"and\", [\"lying...
{"split": "train", "index": 17704}
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 9 inhabitants: Riley, Harper, Daniel, Scarlett, Elizabeth, Matthew, Alexander, Liam, and Michael. In Riley's words: \"if Liam is an angel then ((Elizabeth is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2149, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 8]]]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"<=>\", [...
{"split": "train", "index": 17705}
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 9 inhabitants: Oliver, Noah, Samuel, Daniel, Benjamin, Mason, Henry, Abigail, and Joseph. \"Benjamin is a saint\" - Oliver. Noah said that (if (if Benjamin is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2150, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"lying\", 5], [\"telling-truth\", 3]], [\"or\", [\"or\", ...
{"split": "train", "index": 17706}
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 9 inhabitants: William, Mia, Daniel, Ethan, Riley, Sophia, Sebastian, Ava, and Chloe. According to William, \"if ((Sebastian is an angel if and only if Daniel is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2151, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 8]], [\"or\"...
{"split": "train", "index": 17707}
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 9 inhabitants: Lucas, Penelope, Alexander, Isabella, Mia, Matthew, Benjamin, Evelyn, and Luke. In Lucas's words: \"(if Evelyn is a fool then Isabella is a sage) or (if (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2152, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 3]], [\"lying\", 6], [\"and\", [\"not...
{"split": "train", "index": 17708}
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 9 inhabitants: Isabella, Elizabeth, Amelia, Riley, Liam, Aiden, William, Avery, and Chloe. As Isabella put it, \"((if Isabella is a knight then Chloe is a knave) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2153, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"lying\", 7]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"and\", [\"lying\", 7], [\"telling-truth\", 0]...
{"split": "train", "index": 17709}
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 9 inhabitants: Michael, Daniel, Grace, Sofia, Avery, Elizabeth, Aria, Lily, and Abigail. Michael stated, \"Abigail is a devil\". As Daniel put it, \"Lily is a devil\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"lying\", 8], [\"lying\", 7], [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 8]]]], [\"or\", ...
{"split": "train", "index": 17710}
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 9 inhabitants: Joseph, Alexander, Benjamin, Lucas, Sebastian, Liam, Jackson, David, and Daniel. In a statement by Joseph: \"((Sebastian is a knight if and only if B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 8]]], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6], [\"lying\", 3]], [\"or\", [\"l...
{"split": "train", "index": 17711}
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 9 inhabitants: Olivia, Aurora, Liam, Harper, Aria, Ethan, Mason, Jacob, and Lily. Olivia said, \"((Aurora is a saint if and only if Harper is a saint) or (Liam is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 8]]], [\"and\", [\"and\", [\"l...
{"split": "train", "index": 17712}
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 9 inhabitants: Matthew, James, Chloe, Elizabeth, David, Michael, Joseph, Emily, and Victoria. \"if ((Matthew is an altruist and Elizabeth is an egoist) or (Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 8]], [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"<=>\", [\"not...
{"split": "train", "index": 17713}
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 9 inhabitants: Emma, Elizabeth, Isabella, Evelyn, Samuel, Aurora, Luke, Scarlett, and Ethan. In Emma's words: \"Aurora is a fool\". Elizabeth told you that ((if Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"lying\", 5], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 0]], [\"or\", [\"telling-truth\", 7], [\"lying\", 0], [\"tellin...
{"split": "train", "index": 17714}
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 9 inhabitants: Ava, Jacob, Chloe, Olivia, Lucas, Elizabeth, Oliver, Luke, and Penelope. Ava remarked, \"(it is not the case that (Oliver is a knight)) and Jacob is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 6]]], [\"lying\", 1], [\"not\", [\"lying\", 4]]], [\"lying\", 6], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"<=>\", [\"telling-trut...
{"split": "train", "index": 17715}
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 9 inhabitants: Avery, Logan, Harper, Chloe, Daniel, Isabella, Luke, Samuel, and Benjamin. \"Harper is a knave if and only if ((Harper is a knave) if and only if (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"<=>\", [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]], [\"->\", ...
{"split": "train", "index": 17716}
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 9 inhabitants: Mason, Ella, Samuel, Victoria, Emily, Lily, Isabella, Michael, and William. \"Michael is a sage,\" Mason claimed. In a statement by Ella: \"Isabella is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"telling-truth\", 7], [\"lying\", 6], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"and\", [\"lying\", 7], [\"lying\", 3]]],...
{"split": "train", "index": 17717}
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 9 inhabitants: Owen, James, Amelia, Isabella, Samuel, Noah, Penelope, Luke, and Mason. \"(it is not the case that (James is a laggard and Isabella is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"telling-truth\", 3]], [\"...
{"split": "train", "index": 17718}
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 9 inhabitants: Lily, Zoey, Aiden, Mia, Chloe, Oliver, Jacob, Jack, and Matthew. \"Zoey is a pioneer,\" Lily declared. Zoey commented, \"if (it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [\"and\", [\"<=>\", [\"telli...
{"split": "train", "index": 17719}
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 9 inhabitants: Amelia, Emily, Mia, Ella, Grace, Emma, Jacob, Zoey, and Scarlett. Amelia expressed that (Mia is a saint if and only if Zoey is a saint) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"lying\", 5]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"lying\", 5]]...
{"split": "train", "index": 17720}
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 9 inhabitants: Matthew, Zoey, Aurora, Grace, Harper, Scarlett, Elizabeth, Jack, and Mason. Matthew was heard saying, \"((if Harper is an angel then Scarlett is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"lying\", 5], [\"or\", [\"lying\", 3...
{"split": "train", "index": 17721}
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 9 inhabitants: Samuel, Sebastian, Ethan, Jacob, William, Charlotte, Emily, Avery, and Lily. Samuel noted, \"Avery is a hero\". \"((if Ethan is a hero then Charlotte...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 8]]], [\"not\", [\"telling-truth\", 6]]]...
{"split": "train", "index": 17722}
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 9 inhabitants: Victoria, Amelia, Riley, Aurora, Aria, James, Joseph, Emma, and Matthew. Victoria commented, \"((Riley is a laggard and Matthew is a pioneer an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]]],...
{"split": "train", "index": 17723}
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 9 inhabitants: Lily, Evelyn, Victoria, Logan, William, Liam, Owen, Aria, and Samuel. \"(if Victoria is a saint then (Logan is a saint)) and (it is not the case that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 5]]]], [\"telling-truth\", 0], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\...
{"split": "train", "index": 17724}
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 9 inhabitants: Olivia, Jack, Evelyn, Victoria, Sofia, Michael, Grace, William, and Emma. Olivia expressed that if ((Olivia is an altruist or Michael is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"telling-truth\", 7]], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 17725}
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 9 inhabitants: James, Jacob, Mason, Aiden, Amelia, Jack, Zoey, Alexander, and Charlotte. In James's words: \"((Charlotte is an egoist and Amelia is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"telling...
{"split": "train", "index": 17726}
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 9 inhabitants: Joseph, Olivia, Harper, Aurora, Henry, Avery, Sebastian, Michael, and Aiden. Joseph remarked, \"(Henry is a fool) or ((Henry is a sage and Aiden is a fool ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 2]]],...
{"split": "train", "index": 17727}
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 9 inhabitants: Luke, Matthew, James, Aurora, Isabella, Evelyn, David, Aiden, and Jacob. Luke commented, \"((Luke is a hero and Matthew is a hero and Evelyn is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-tru...
{"split": "train", "index": 17728}
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 9 inhabitants: Chloe, Alexander, Isabella, Daniel, Samuel, Aurora, Jackson, Jacob, and Ava. Chloe noted, \"if (Isabella is a hero and (Aurora is a hero or Jackson i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]], ...
{"split": "train", "index": 17729}
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 9 inhabitants: Aiden, Victoria, Aria, Harper, Liam, Ava, Scarlett, William, and Riley. Aiden said, \"if ((Harper is a villain if and only if Liam is a villain) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 5], [\"lying\", 7]], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 6]...
{"split": "train", "index": 17730}
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 9 inhabitants: James, Victoria, Ava, Grace, Logan, Daniel, Penelope, Zoey, and William. James was heard saying, \"if ((Victoria is an altruist) and Ava is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 6]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"telling-truth\", 4], ...
{"split": "train", "index": 17731}
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 9 inhabitants: Zoey, Mason, Harper, Victoria, Penelope, Grace, Joseph, Mia, and Avery. Zoey told you that (if (Mason is an egoist and Mia is an egoist) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 7]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"<=>\", [\"...
{"split": "train", "index": 17732}
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 9 inhabitants: Benjamin, Jack, Mia, Liam, Isabella, Aiden, Jacob, Grace, and David. Benjamin said, \"if ((Benjamin is a hero if and only if Isabella is a villain) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 4]]]], [\"telling-truth\", 6],...
{"split": "train", "index": 17733}
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 9 inhabitants: Samuel, Charlotte, Jack, Olivia, Matthew, Zoey, James, Harper, and Noah. Samuel asserted: \"it is not the case that (Matthew is a sinner and (Noah is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 8]]]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 3], [\"telling-t...
{"split": "train", "index": 17734}
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 9 inhabitants: Henry, Harper, Liam, Ava, Noah, Elizabeth, Victoria, Ethan, and Jacob. Henry was heard saying, \"if (if (Elizabeth is an egoist if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"...
{"split": "train", "index": 17735}
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 9 inhabitants: Henry, Grace, Olivia, James, Mia, Owen, William, Joseph, and Benjamin. Henry said, \"if Benjamin is a pioneer then ((William is a pioneer) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"and\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"lying\", 7]]]], [\"lying\", 7], [\"and\", [\"lying\", 8], [\"or\", [\"not\", [\"lying\", 1]], [\"...
{"split": "train", "index": 17736}
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 9 inhabitants: Jack, Amelia, Daniel, Elizabeth, Owen, Scarlett, Olivia, Emily, and Jacob. Jack remarked, \"if ((if Scarlett is a sage then Jacob is a sage) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8], [\"lying...
{"split": "train", "index": 17737}
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 9 inhabitants: Isabella, Noah, Lily, Ella, Harper, Ava, Liam, Aiden, and Joseph. Isabella stated, \"(Joseph is a pioneer if and only if (Aiden is a pioneer an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\...
{"split": "train", "index": 17738}
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 9 inhabitants: Daniel, Jacob, Ella, Harper, Zoey, Luke, Aurora, Charlotte, and Noah. In a statement by Daniel: \"((Charlotte is a pioneer if and only if Ella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"telling-truth\", 5], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"...
{"split": "train", "index": 17739}
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 9 inhabitants: Evelyn, Samuel, Alexander, Ava, Sebastian, Emily, Daniel, Jackson, and Sophia. \"Sebastian is a pioneer,\" Evelyn claimed. In Samuel's words: \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 4], [\"and\", [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 6],...
{"split": "train", "index": 17740}
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 9 inhabitants: Benjamin, Jacob, Avery, Penelope, Isabella, Michael, Oliver, Joseph, and Harper. Benjamin said that if (if (Avery is a pioneer or Jacob is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 6]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]]...
{"split": "train", "index": 17741}
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 9 inhabitants: Avery, Daniel, Charlotte, Alexander, Samuel, Jack, Grace, Elizabeth, and Joseph. In Avery's words: \"(it is not the case that (if Daniel is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 8]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"or\", [\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 6]...
{"split": "train", "index": 17742}
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 9 inhabitants: Sophia, Lily, Daniel, Oliver, Lucas, Chloe, Luke, Owen, and Jacob. Sophia said, \"(if Chloe is a hero then (Chloe is a hero if and only if Jacob is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [...
{"split": "train", "index": 17743}
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 9 inhabitants: Oliver, Charlotte, Daniel, Chloe, Owen, Noah, Lily, Abigail, and Alexander. In a statement by Oliver: \"Chloe is a sinner\". Charlotte stated, \"if O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"lying\", 3], [\"->\", [\"lying\", 0], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 7]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 8]...
{"split": "train", "index": 17744}
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 9 inhabitants: Sophia, James, Aria, Victoria, Matthew, Alexander, Scarlett, Riley, and Luke. In a statement by Sophia: \"(it is not the case that (Victoria is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"not\", [\"t...
{"split": "train", "index": 17745}
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 9 inhabitants: James, Amelia, Samuel, Ethan, Evelyn, Logan, Elizabeth, Olivia, and Emma. James commented, \"Emma is a knave or ((Samuel is a knight if and only if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"or\", [\"lying\", 8], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"lying\", 1]]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", ...
{"split": "train", "index": 17746}
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 9 inhabitants: Penelope, Noah, Avery, Joseph, Logan, Ethan, Riley, Sophia, and Mia. Penelope remarked, \"Ethan is an egoist\". Noah stated, \"(Mia is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"lying\", 5], [\"or\", [\"<=>\", [\"lying\", 8], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 6]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 6]], ...
{"split": "train", "index": 17747}
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 9 inhabitants: Olivia, Harper, Sofia, Sebastian, David, Noah, Scarlett, Amelia, and Jackson. Olivia told you that if Scarlett is a hero then ((if Scarlett is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"->\", [\"lying\", 8], [\"lying\", 3]]]], [\"lying\", 4], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 1],...
{"split": "train", "index": 17748}
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 9 inhabitants: Samuel, Abigail, Sofia, Emily, Henry, Emma, Amelia, William, and Evelyn. Samuel stated, \"it is not the case that (it is not the case that (if Amelia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 2]]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]...
{"split": "train", "index": 17749}
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 9 inhabitants: Sophia, Aiden, Amelia, Chloe, Owen, Matthew, Lucas, Michael, and Oliver. In a statement by Sophia: \"((Matthew is a hero or Oliver is a hero) or Amel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"tellin...
{"split": "train", "index": 17750}
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 9 inhabitants: Amelia, Ethan, Evelyn, Samuel, Matthew, Mason, Alexander, Elizabeth, and Jackson. Amelia noted, \"it is not the case that (if (Matthew is an angel) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 8], [\...
{"split": "train", "index": 17751}
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 9 inhabitants: Aria, Emily, Victoria, Olivia, Benjamin, Logan, Jackson, Avery, and Lucas. As Aria put it, \"Olivia is a saint\". Emily expressed that Olivia is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"->\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 1], [\"lying\", 5]], [\"not\", [\"lying\", 3]...
{"split": "train", "index": 17752}
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 9 inhabitants: Ella, Lucas, Matthew, Emma, Sebastian, Grace, Lily, Amelia, and Mason. \"(it is not the case that (Matthew is an angel and Grace is a devil and Lily is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 5], [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lyi...
{"split": "train", "index": 17753}
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 9 inhabitants: Chloe, Ethan, Ella, Lily, James, Luke, Emma, Emily, and Michael. Chloe was heard saying, \"((Ella is an altruist or James is an altruist) or (M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 5], [\"lying\", 1]]], [\"telling-truth\", 5], [\"telling-truth\", 3]], ...
{"split": "train", "index": 17754}
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 9 inhabitants: Aria, Matthew, Michael, Mason, Owen, Benjamin, Penelope, Lucas, and Aiden. \"((Owen is a pioneer and Mason is a pioneer and Penelope is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"t...
{"split": "train", "index": 17755}
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 9 inhabitants: Emily, Sebastian, Harper, Henry, Aria, Matthew, Jack, Riley, and Jacob. Emily was heard saying, \"(if (Sebastian is a knave if and only if Jack is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]], [\"lying\", 5]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"tellin...
{"split": "train", "index": 17756}
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 9 inhabitants: Penelope, Zoey, William, Daniel, Luke, Michael, David, Mia, and Harper. As Penelope put it, \"(Daniel is an angel) if and only if Mia is an angel\". Zo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 5], [\"not\", [\"lying\", 7]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 8]], [\"an...
{"split": "train", "index": 17757}
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 9 inhabitants: Samuel, Emily, Alexander, Aria, Jack, Mason, Sophia, Lily, and Victoria. According to Samuel, \"if ((Jack is a sinner and Alexander is a sinner and E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 7]], [\"or\", [\"or\", [\"lying\", 0], [\"or\", [\"telli...
{"split": "train", "index": 17758}
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 9 inhabitants: Grace, Daniel, Lily, Henry, Aurora, James, Aiden, Sebastian, and Elizabeth. \"((Aurora is an altruist and Sebastian is an altruist) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 7]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 5]], [\"<...
{"split": "train", "index": 17759}
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 9 inhabitants: Michael, Riley, Benjamin, Isabella, Aiden, Jackson, Noah, Lily, and Mason. In a statement by Michael: \"Aiden is a knave\". As Riley put it, \"it is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"lying\", 4], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 7]], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"or\", [\"...
{"split": "train", "index": 17760}
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 9 inhabitants: Daniel, Chloe, Ethan, David, Joseph, Noah, Charlotte, Avery, and Mia. \"Ethan is a sage,\" Daniel declared. Chloe was heard saying, \"(it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 7], [\"telling-truth\", 1]], [\"and\", [\"tell...
{"split": "train", "index": 17761}
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 9 inhabitants: Noah, Emma, Jack, Joseph, Owen, Abigail, Henry, Harper, and Ethan. \"((Harper is a laggard and Jack is a pioneer and Jack is a laggard) or (Abi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 5], [\"lying\", 1]], [\"lying\", 5]], [\"or\", [\"lying\", 5], [\"<=>\", [\"lying\", 2], [\"tell...
{"split": "train", "index": 17762}
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 9 inhabitants: Scarlett, Sofia, Mia, Noah, Sophia, Oliver, Samuel, Lily, and Ava. \"((Noah is a knave or Ava is a knave or Sophia is a knave) if and only if (if Ava...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 8], [\"lying\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2], [\"telling-tru...
{"split": "train", "index": 17763}
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 9 inhabitants: Isabella, Ava, Liam, Noah, Lily, Avery, James, Samuel, and Olivia. As Isabella put it, \"(Ava is an altruist or Liam is an altruist) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]]]], [\"lying\", 7], [\"or\", [\"telling-truth\", 7], [\"and\", [\"tel...
{"split": "train", "index": 17764}
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 9 inhabitants: Grace, Lucas, Ethan, Oliver, Abigail, Evelyn, Chloe, Emily, and Avery. \"Lucas is a pioneer,\" Grace claimed. Lucas remarked, \"it is not the c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"lying\", 3], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 0], [\"telling-truth\", 7]], [...
{"split": "train", "index": 17765}
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 9 inhabitants: Alexander, Ella, Aiden, Matthew, Penelope, Avery, Elizabeth, Olivia, and Samuel. Alexander noted, \"if ((Ella is a sage) if and only if (Alexander is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-tr...
{"split": "train", "index": 17766}
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 9 inhabitants: Sebastian, Mia, Chloe, Aria, Victoria, Aiden, Liam, Benjamin, and Alexander. In Sebastian's words: \"(it is not the case that (Aiden is a sage)) and ((if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 5]]], [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"lying\", 7]]]], [\"or\", ...
{"split": "train", "index": 17767}
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 9 inhabitants: Grace, Mason, Olivia, Liam, Riley, William, Sebastian, Chloe, and Daniel. \"((Olivia is a laggard or Chloe is a pioneer or Daniel is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7]]...
{"split": "train", "index": 17768}
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 9 inhabitants: Charlotte, Mia, Zoey, Aurora, Lucas, Aiden, Ethan, Isabella, and Penelope. Charlotte noted, \"it is not the case that (if (Mia is a laggard or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1], [\"te...
{"split": "train", "index": 17769}
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 9 inhabitants: Aurora, Ethan, Emily, Benjamin, Riley, Ava, Daniel, Scarlett, and Jack. Aurora said, \"(if (Benjamin is a devil if and only if Jack is an angel) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 7], [\"lying\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and...
{"split": "train", "index": 17770}
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 9 inhabitants: Elizabeth, Aurora, Penelope, Mason, Sebastian, Scarlett, Matthew, Logan, and Charlotte. Elizabeth said that Mason is a villain. In a statement by Aur...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"lying\", 3], [\"not\", [\"lying\", 4]], [\"lying\", 4], [\"lying\", 5], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"telling-truth\", 6]], [\"and\", [\"or\", [\"lying\", 3]...
{"split": "train", "index": 17771}
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 9 inhabitants: Scarlett, Aurora, Mia, Jackson, Penelope, Emma, Michael, Lily, and Grace. Scarlett asserted: \"((if Penelope is an angel then Penelope is a devil) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"->\", [\"telling-tru...
{"split": "train", "index": 17772}
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 9 inhabitants: Emily, Benjamin, Avery, Zoey, Sophia, Oliver, Michael, Scarlett, and Penelope. Emily told you that Oliver is a knave if and only if Emily is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 2]], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"and...
{"split": "train", "index": 17773}
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 9 inhabitants: Charlotte, Daniel, Emma, Michael, David, Victoria, Olivia, Penelope, and Ella. Charlotte said, \"((David is a fool or Charlotte is a sage) and (Victoria is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"lying\", 7], [\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"lyi...
{"split": "train", "index": 17774}
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 9 inhabitants: Oliver, Riley, Penelope, Zoey, Daniel, Scarlett, Liam, Sebastian, and Olivia. \"it is not the case that ((Oliver is an angel and Scarlett is a devil) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"not\", [\"lying\", 7]]]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]], [\"or\...
{"split": "train", "index": 17775}
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 9 inhabitants: Abigail, William, Elizabeth, Emily, Harper, Evelyn, Owen, Penelope, and Scarlett. \"Scarlett is a knave,\" Abigail claimed. \"(it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"lying\", 8], [\"and\", [\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-...
{"split": "train", "index": 17776}
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 9 inhabitants: Victoria, Grace, Samuel, Mason, Amelia, Liam, Matthew, Penelope, and Scarlett. Victoria said, \"((Scarlett is a sage and Samuel is a fool and Grace is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"n...
{"split": "train", "index": 17777}
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 9 inhabitants: Ella, Liam, Daniel, William, Mason, Michael, Sophia, Samuel, and Harper. Ella was heard saying, \"((if Mason is a knight then Harper is a knight) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7], [\"telling-truth\", 0]], ...
{"split": "train", "index": 17778}
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 9 inhabitants: Olivia, Logan, William, Liam, Charlotte, Aria, Chloe, Daniel, and Samuel. Olivia asserted: \"Liam is a knave\". Logan was heard saying, \"William is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 6], [\"lying\", 5], [\"lying\", 6]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", ...
{"split": "train", "index": 17779}
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 9 inhabitants: Henry, Joseph, Amelia, Abigail, Logan, Emily, Chloe, Evelyn, and Olivia. Henry said that (if (if Amelia is a sinner then Joseph is a saint) then (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"or\", [\"->\", [\"lying\",...
{"split": "train", "index": 17780}
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 9 inhabitants: Harper, Alexander, Sofia, Olivia, Aria, Owen, Evelyn, Joseph, and Chloe. Harper commented, \"if (it is not the case that (Joseph is a pioneer i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\"...
{"split": "train", "index": 17781}
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 9 inhabitants: Victoria, Liam, Benjamin, Lily, Zoey, Sofia, Samuel, Aria, and James. \"(it is not the case that (if Zoey is a knight then Lily is a knight)) or Zoey...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"-...
{"split": "train", "index": 17782}
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 9 inhabitants: Aiden, Benjamin, Olivia, Zoey, Ella, Victoria, Logan, Emily, and Alexander. Aiden commented, \"if (if (Emily is a fool) then Aiden is a sage) then ((Logan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 0]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"not\"...
{"split": "train", "index": 17783}
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 9 inhabitants: Avery, Olivia, Mason, Emily, Victoria, Aurora, Zoey, Charlotte, and Liam. \"Victoria is a devil and (if (Charlotte is an angel and Mason is an angel an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 5]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\",...
{"split": "train", "index": 17784}
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 9 inhabitants: Alexander, Henry, Lily, Chloe, Daniel, Elizabeth, Penelope, Scarlett, and Samuel. According to Alexander, \"((Samuel is a pioneer or Chloe is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"lying\", 6], [\"telling-truth\", 1]], [\"and\", [\"lying\", 7], [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 3]]], [\"-...
{"split": "train", "index": 17785}
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 9 inhabitants: Sebastian, Owen, Lily, Isabella, Matthew, Emily, Luke, Emma, and Jacob. Sebastian noted, \"((Sebastian is a pioneer if and only if Matthew is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 3], [\"<=>\", [\"->\", [\"telling-truth...
{"split": "train", "index": 17786}
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 9 inhabitants: Penelope, Alexander, Aiden, Ava, Henry, Grace, Emma, Samuel, and Amelia. According to Penelope, \"if Emma is an egoist then (it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"->\", [\"lying\", 6], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"and\", [\...
{"split": "train", "index": 17787}
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 9 inhabitants: Lily, Aiden, Henry, Jack, Abigail, Grace, Daniel, Mia, and Chloe. In Lily's words: \"(it is not the case that (Daniel is a hero or Mia is a villain o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 8], [\"lying\", 1], [\"telling-truth\", 0]], [\...
{"split": "train", "index": 17788}
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 9 inhabitants: Ethan, Luke, Riley, Sophia, Lucas, William, Michael, Jack, and Isabella. Ethan commented, \"((Riley is a pioneer if and only if Jack is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"or\", [\"lying\", 8], [\"telling-trut...
{"split": "train", "index": 17789}
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 9 inhabitants: Luke, Henry, Mia, Scarlett, Penelope, James, Owen, Riley, and Alexander. Luke noted, \"if (Alexander is a fool) then (it is not the case that (Penelope is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"telling-truth\", 2], [\"lying\", 5]]]], [\"telling-truth\", 8], [\"and\", [\"lying\", 8], [...
{"split": "train", "index": 17790}
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 9 inhabitants: Sophia, Luke, Benjamin, Jacob, Jack, David, Oliver, Isabella, and Chloe. Sophia was heard saying, \"((if Jacob is a pioneer then David is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 8], [\"lying\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"lying...
{"split": "train", "index": 17791}
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 9 inhabitants: Logan, Avery, Scarlett, Sophia, Alexander, Sofia, Emma, Emily, and Ella. Logan expressed that Avery is a laggard. Avery stated, \"((Emily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 6]]], [\"telling-truth\", 0]], [\"lying\", 8], [\"->\", [\"or\", [\"and\", [\"ly...
{"split": "train", "index": 17792}
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 9 inhabitants: Elizabeth, Aiden, Avery, Zoey, Riley, Noah, Logan, Victoria, and Owen. Elizabeth said, \"Aiden is an egoist.\" Aiden said, \"Noah is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"lying\", 1], [\"telling-truth\", 5], [\"not\", [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 7]]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth...
{"split": "train", "index": 17793}
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 9 inhabitants: Penelope, Elizabeth, Alexander, Charlotte, James, Isabella, Lucas, William, and Aurora. Penelope told you that ((Charlotte is an angel) and (James is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 7], [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 1]...
{"split": "train", "index": 17794}
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 9 inhabitants: Sophia, Amelia, Olivia, Daniel, Isabella, Mia, Aurora, Matthew, and Harper. Sophia told you that if (Matthew is an egoist if and only if (Isabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 7]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", ...
{"split": "train", "index": 17795}
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 9 inhabitants: Isabella, Grace, Charlotte, Liam, Daniel, Jackson, Ethan, Samuel, and Olivia. \"if (it is not the case that (Ethan is a laggard if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"and\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 6], [\"lying\", 5]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 5], [\...
{"split": "train", "index": 17796}
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 9 inhabitants: Emily, Jack, Charlotte, Lily, Aurora, Chloe, Ella, Sophia, and Benjamin. Emily remarked, \"(it is not the case that (Sophia is a devil and Aurora is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]]...
{"split": "train", "index": 17797}
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 9 inhabitants: David, Benjamin, Aiden, Amelia, Harper, Henry, Daniel, Emma, and Alexander. David stated, \"Benjamin is an egoist\". Benjamin stated, \"Alexand...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"lying\", 1], [\"not\", [\"lying\", 8]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"lying\", 7], [\"lying\", 1]], [\"lying\", 0], [\"and\", [\"telling-truth\", 8], [\"l...
{"split": "train", "index": 17798}
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 9 inhabitants: Grace, James, Luke, Owen, William, Emma, Jackson, Charlotte, and Riley. Grace said that Charlotte is a pioneer. James expressed that ((Emma is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 7]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-t...
{"split": "train", "index": 17799}