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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Alexander, Noah, Jackson, Logan, Zoey, Grace, Mia, Michael, and Samuel. According to Alexander, \"(if Zoey is a saint then Logan is a sinner) or (Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 8], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 0],...
{"split": "train", "index": 11300}
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: Henry, Jackson, Alexander, Noah, Oliver, Owen, Aurora, Liam, and Logan. Henry said, \"(Owen is a villain) and (Aurora is a hero).\" As Jackson put it...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 6]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 7], [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"telling-truth\", 5], [\"tell...
{"split": "train", "index": 11301}
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: Harper, Sophia, Amelia, Scarlett, Zoey, Logan, James, Jacob, and Ella. Harper told you that if (Ella is a sinner and Sophia is a sinner and James is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"lying\", 1], [\"lying\", 6]], [\"not\", [\"lying\", 8]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7], [\"lying\", 7]]], [\"lying\", 5], [\"and\", [\"->...
{"split": "train", "index": 11302}
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: Avery, Logan, Grace, Liam, Zoey, Joseph, Penelope, Mason, and Henry. In a statement by Avery: \"(Joseph is a villain or Zoey is a villain or Penelope...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"and\", [\"or\", [\"lying\", 5], [\"lying\", 4], [\"lying\", 6], [\"lying\", 2]], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"lying\", 7], [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 4]...
{"split": "train", "index": 11303}
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: Jacob, Daniel, James, Ella, Victoria, Avery, Isabella, Noah, and Aria. Jacob noted, \"it is not the case that (Noah is a villain and Jacob is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"->\"...
{"split": "train", "index": 11304}
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, Owen, Henry, Evelyn, Grace, Logan, Ella, Luke, and Victoria. \"(Victoria is an egoist and Grace is an altruist) or Elizabeth is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 8]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", ...
{"split": "train", "index": 11305}
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: Ava, Aria, David, Jackson, Evelyn, James, Scarlett, Logan, and Victoria. Ava expressed that Scarlett is a devil. Aria expressed that if (if Victoria is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"lying\", 6], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 6], [\"lying\", 4]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 0...
{"split": "train", "index": 11306}
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: Riley, Mason, Penelope, Lucas, Henry, Owen, Benjamin, Aiden, and Sophia. \"Penelope is a laggard or (Benjamin is a pioneer if and only if Owen ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 6], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\...
{"split": "train", "index": 11307}
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, Victoria, Sofia, Mason, Oliver, Liam, Charlotte, and Abigail. \"Liam is a sinner or Sofia is a sinner or (Mason is a sinner or Victori...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"or\", [\"lying\", 6], [\"lying\", 3], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\...
{"split": "train", "index": 11308}
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: Riley, Avery, Ella, Ava, Evelyn, Harper, Charlotte, Noah, and Sebastian. Riley said, \"(Charlotte is an egoist) if and only if (Ava is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"or\", [\"lying\"...
{"split": "train", "index": 11309}
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: Ethan, Ella, Liam, Owen, Michael, Aria, Zoey, Amelia, and Aurora. Ethan told you that (Liam is a fool if and only if Aria is a sage) if and only if (Owen i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]], [\"...
{"split": "train", "index": 11310}
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: Oliver, Grace, Isabella, Noah, Jack, Mason, Emily, Lily, and Emma. \"(if Grace is a pioneer then Emma is a laggard) or (if Mason is a pioneer t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 8]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 7], [\"and\", [\"and\", ...
{"split": "train", "index": 11311}
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, Olivia, Sophia, Ella, Noah, Jackson, Ethan, Samuel, and Chloe. \"(Noah is an angel if and only if Samuel is a devil) or (Jackson is an angel and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 7], [\"lying\", 4]], [\"lying\", 5], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-t...
{"split": "train", "index": 11312}
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, Aiden, Sofia, Joseph, Mia, Ava, Henry, Amelia, and Alexander. Aria commented, \"Aiden is a sinner or (if Alexander is a sinner then Sofia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"or\", [\"lying\", 1], [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 4]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"not\", [\"lying\",...
{"split": "train", "index": 11313}
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: Sofia, Sophia, Scarlett, Ethan, Charlotte, Mia, Jackson, Avery, and Evelyn. Sofia was heard saying, \"Charlotte is an altruist\". \"Avery is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"lying\", 7]], [\"lying\", 8], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 5]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"ly...
{"split": "train", "index": 11314}
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, Grace, Aurora, Isabella, Luke, Evelyn, Aria, Ella, and Amelia. Michael said, \"Amelia is an angel.\" \"(Aria is a devil if and only if Amelia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 7]]], [\"lying\", 8], [\"or\", [\"not\", [\"lying\", 0]], ...
{"split": "train", "index": 11315}
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: William, Harper, Evelyn, Oliver, Joseph, Benjamin, Avery, Emily, and Sophia. William asserted: \"(Oliver is a knight or Evelyn is a knave or Joseph i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", ...
{"split": "train", "index": 11316}
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: Ava, Aria, Mia, Emily, James, Abigail, Sofia, Ella, and Noah. In a statement by Ava: \"Abigail is a sage\". \"(Noah is a fool) or (if Abigail is a sage the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\"...
{"split": "train", "index": 11317}
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: Oliver, Sophia, Aurora, Jackson, Sofia, Daniel, Sebastian, Jacob, and Chloe. Oliver stated, \"(Daniel is a laggard and Chloe is a laggard and S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"lying\", 8], [\"telling-truth\", 6], [\"lying\", 1]], [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 8], [\"lying\", 2]], [\"or\", [\"telling-t...
{"split": "train", "index": 11318}
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, Zoey, Daniel, Luke, Aiden, Aria, Sophia, Mia, and Logan. Samuel stated, \"(if Aria is a saint then Aria is a sinner) or Logan is a saint\". A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 5]], [\"telling-truth\", 8]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 5]]], [\"or\",...
{"split": "train", "index": 11319}
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: Joseph, Logan, Scarlett, Aurora, Aria, Isabella, Oliver, Michael, and Luke. In a statement by Joseph: \"(Luke is an altruist if and only if Oli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4...
{"split": "train", "index": 11320}
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: Noah, Henry, Grace, Scarlett, Aurora, Jack, William, Benjamin, and Alexander. According to Noah, \"William is an altruist or (Scarlett is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"and\", [\"lying\", 5], [\"and\", [\"telli...
{"split": "train", "index": 11321}
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, Jackson, Noah, Charlotte, Samuel, Sofia, David, Ella, and Alexander. Isabella asserted: \"if (Samuel is a pioneer or Charlotte is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 7], [\"lying\", 1], [\"lying\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth...
{"split": "train", "index": 11322}
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: Liam, Chloe, Jacob, Amelia, Zoey, Sebastian, Ava, Avery, and Riley. \"if (Sebastian is a hero) then Amelia is a villain,\" Liam claimed. Chloe expres...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"lying\", 3]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 5], [\"lying\", 6]], [\"lying\", 7], [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [...
{"split": "train", "index": 11323}
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: Mason, Emily, Alexander, Amelia, Jack, Samuel, Owen, Elizabeth, and Sophia. \"Amelia is a pioneer,\" Mason claimed. Emily commented, \"(Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 0]...
{"split": "train", "index": 11324}
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: Ethan, Victoria, Olivia, Oliver, Sophia, Scarlett, Lucas, William, and Owen. Ethan asserted: \"Sophia is a saint\". In a statement by Victoria: \"(Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 0], [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"lying\", 2]], [\"telling-truth\", 8]], [\"and\", [\"<=>\", [\"telling-tru...
{"split": "train", "index": 11325}
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, Sebastian, Matthew, Chloe, Victoria, Amelia, Alexander, Grace, and Jacob. Henry noted, \"(Chloe is an egoist or Sebastian is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]], [\"lying\", 5]], [...
{"split": "train", "index": 11326}
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: Liam, Jackson, Avery, Charlotte, Sofia, Sebastian, Oliver, Jacob, and James. In a statement by Liam: \"(Sofia is an egoist if and only if Jacks...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 7], [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"telling-truth\", 8], [\"or\", [\"<...
{"split": "train", "index": 11327}
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: Emily, Owen, Alexander, Liam, Lily, Scarlett, Henry, Luke, and Zoey. As Emily put it, \"Zoey is an egoist\". Owen said that (Luke is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"lying\", 8], [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 0]], [\"->\...
{"split": "train", "index": 11328}
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: Penelope, Logan, William, Owen, Riley, James, Zoey, Ella, and Olivia. Penelope was heard saying, \"it is not the case that (if Owen is a villain then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 8], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 11329}
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: William, Chloe, Lucas, Luke, Aurora, Owen, Scarlett, Emily, and Alexander. In a statement by William: \"(Aurora is a saint or Emily is a saint or Wil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"telling-truth\", 5]], [\"telling-truth\", 6], [\"<=>\", [\"lying\", 7], [\"not\", [\"lying\", 6]]], [\"or\", ...
{"split": "train", "index": 11330}
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: Michael, Liam, Sophia, Oliver, Abigail, Olivia, Chloe, Logan, and Charlotte. Michael remarked, \"(if Chloe is a laggard then Sophia is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"or\", [\"telling-truth\", 5], [...
{"split": "train", "index": 11331}
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: Luke, Matthew, Henry, Sophia, Oliver, Abigail, Lily, Sofia, and Aria. \"(if Sofia is a laggard then Sophia is a pioneer) if and only if (Lily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 6], [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"telling-truth\", 6], [\"not\", [\"telling-...
{"split": "train", "index": 11332}
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: Scarlett, Jack, David, Lily, Logan, Ava, Ethan, James, and Lucas. As Scarlett put it, \"(Lucas is a sage and Logan is a sage and Jack is a sage) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 3]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 8], [\"telling-truth\", 5], [\"telling-t...
{"split": "train", "index": 11333}
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, Michael, Evelyn, William, Liam, Mia, Penelope, David, and Joseph. Avery asserted: \"(Mia is a knight or Michael is a knight or Evelyn is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 6], [\"telling-truth\"...
{"split": "train", "index": 11334}
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: Owen, Victoria, Noah, Mia, Oliver, Mason, David, Jack, and Elizabeth. Owen remarked, \"Owen is a saint\". \"it is not the case that (if Owen is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 2]]...
{"split": "train", "index": 11335}
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: Avery, Riley, Ava, Jackson, Sophia, Amelia, Logan, Owen, and Isabella. Avery was heard saying, \"Sophia is a sage\". Riley said that (Jackson is a fool and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"->\", [\"lying\", 5], [\"telling-truth\", 8...
{"split": "train", "index": 11336}
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: Logan, Jacob, Ella, Benjamin, Matthew, Alexander, Isabella, Henry, and Joseph. In a statement by Logan: \"Matthew is an angel\". Jacob noted, \"(Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 7], [\"lying\", 5], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\...
{"split": "train", "index": 11337}
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: Elizabeth, Jack, Mia, Logan, Ava, Matthew, Liam, Avery, and Daniel. Elizabeth was heard saying, \"it is not the case that (Mia is a sinner if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"or\", [\"telling-truth\", 8], [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"tellin...
{"split": "train", "index": 11338}
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, Joseph, Alexander, Amelia, Chloe, William, Luke, Penelope, and Mason. Grace told you that if (if Joseph is an altruist then Penelope is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"lying\"...
{"split": "train", "index": 11339}
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: Scarlett, Emily, Henry, Ava, Aiden, Amelia, Luke, Sofia, and Liam. Scarlett remarked, \"if (Ava is a pioneer or Emily is a pioneer or Amelia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 7]]], [\"not\", [\"telling-truth\", 5]], [\"...
{"split": "train", "index": 11340}
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: Noah, Victoria, Elizabeth, Joseph, Samuel, Charlotte, Avery, Alexander, and Henry. Noah remarked, \"Samuel is a devil or (Alexander is an angel or Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 8], [\"lying\", 4]], [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"lying\"...
{"split": "train", "index": 11341}
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: Ella, Daniel, Liam, Lily, Jacob, Aiden, Scarlett, Benjamin, and James. Ella remarked, \"(Daniel is a pioneer and James is a laggard) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8]], [\"and\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 6], [\"lying\", 5], [\"or\", [\"<=>\", [\"lying...
{"split": "train", "index": 11342}
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: Amelia, Avery, Aria, Zoey, Mia, Charlotte, Evelyn, Mason, and Sophia. Amelia commented, \"it is not the case that (Zoey is an egoist or Sophia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 7], [\"lying\", 3], [\"lying\", 2]], [\"...
{"split": "train", "index": 11343}
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: Elizabeth, Zoey, Lily, Emma, Ava, Sebastian, Jackson, Grace, and Ella. According to Elizabeth, \"Ava is a laggard\". According to Zoey, \"(Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 7]], [\"lying\", 4], [\"->\", [\"telling-truth\",...
{"split": "train", "index": 11344}
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: Sofia, William, Luke, Amelia, Ethan, Samuel, Joseph, Henry, and Victoria. Sofia was heard saying, \"if (Luke is a laggard) then Samuel is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"not\", [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 0], [\"lying\", 1]]...
{"split": "train", "index": 11345}
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: Liam, Sebastian, Evelyn, Jacob, Daniel, Mia, Jackson, Olivia, and Isabella. Liam told you that Evelyn is a laggard or (Olivia is a pioneer) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"telling-truth\", 0]], [\"lying\", 6], [\"telling-truth\", 8], [\"<=>\", [\"->\", [\"lying\", 0], [\"tellin...
{"split": "train", "index": 11346}
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: Aiden, Victoria, Owen, Ella, Lily, Emma, Lucas, Jackson, and Noah. Aiden remarked, \"it is not the case that (Ella is a knight and Emma is a knight)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 5]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-tru...
{"split": "train", "index": 11347}
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: Harper, Ethan, Isabella, Zoey, Sophia, Liam, Alexander, Matthew, and Scarlett. Harper asserted: \"Zoey is a sinner\". In Ethan's words: \"Matthew is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"lying\", 3], [\"telling-truth\", 7], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 5]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"lying\", 4]], [\"not...
{"split": "train", "index": 11348}
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, Noah, Sophia, Jackson, Joseph, Mia, Zoey, Elizabeth, and Scarlett. In a statement by Abigail: \"if (Noah is a knave or Zoey is a knight) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"telling-truth\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\",...
{"split": "train", "index": 11349}
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: Oliver, Joseph, David, Mia, James, Emma, Harper, Michael, and Sophia. As Oliver put it, \"(Michael is a villain if and only if David is a villain) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]],...
{"split": "train", "index": 11350}
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: Jack, Aurora, Scarlett, Luke, Emily, Emma, Ethan, Sebastian, and David. \"Ethan is a knight and (Aurora is a knave and Emily is a knight and Jack is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telli...
{"split": "train", "index": 11351}
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: Penelope, Joseph, Owen, Ethan, Isabella, Chloe, Samuel, Logan, and Matthew. Penelope expressed that (Logan is a laggard and Chloe is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 7]], [\"lying\", 2]], [\"lying\", 5], [\"and\", [\"or\", [\"lying\...
{"split": "train", "index": 11352}
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: Mason, Sebastian, Chloe, Charlotte, Joseph, Jackson, Lily, Penelope, and William. Mason was heard saying, \"(Charlotte is a knave and William is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 7], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]]...
{"split": "train", "index": 11353}
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, Aria, Noah, Avery, Matthew, Lily, Elizabeth, Evelyn, and Grace. In a statement by Victoria: \"if (Grace is a knave) then (Lily is a knight ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"lying\", ...
{"split": "train", "index": 11354}
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: Ava, Olivia, Lily, Luke, Ella, Elizabeth, William, Liam, and Sofia. Ava said that (if Ava is a saint then Ella is a saint) and (if Ella is a sinner t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"not\", [\"lying...
{"split": "train", "index": 11355}
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, Liam, Avery, William, Ella, Michael, Lily, Amelia, and Oliver. In a statement by Emma: \"(Liam is a sage and William is a fool and Lily is a fool) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 0]], ...
{"split": "train", "index": 11356}
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: Abigail, Avery, Harper, Jackson, Lucas, Aiden, Sebastian, Sofia, and Mason. As Abigail put it, \"(Lucas is a sinner or Aiden is a saint) or Avery is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]], [\"lying\", 1]], [\"lying\", 5], [\"lying\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 8]]], ...
{"split": "train", "index": 11357}
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, Michael, William, Evelyn, Matthew, Sofia, Jack, Emma, and Elizabeth. Abigail said that (William is a knight) if and only if (Sofia is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 5], [\"telling-truth\", 7], [\"telling-truth\", 8], [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"te...
{"split": "train", "index": 11358}
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: Zoey, Joseph, Henry, Avery, Mia, Riley, Evelyn, Benjamin, and Olivia. Zoey said, \"(Mia is a villain if and only if Evelyn is a villain) and (if Aver...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6], [\"lying\", 7]]], [\"->\", [\"->\", [\"l...
{"split": "train", "index": 11359}
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, Daniel, Amelia, Evelyn, Owen, Avery, James, Chloe, and Jack. Luke remarked, \"it is not the case that (Luke is a hero or Owen is a hero)\". \"O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth...
{"split": "train", "index": 11360}
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: Emma, Jackson, Isabella, Ava, Aurora, Matthew, Avery, Noah, and Michael. Emma was heard saying, \"(Michael is a knave and Aurora is a knave and Ava i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-...
{"split": "train", "index": 11361}
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: Olivia, James, Sofia, Matthew, Sophia, Owen, Sebastian, Emily, and Joseph. Olivia expressed that (Matthew is a devil) and (Joseph is a devil and Joseph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"and\", [\...
{"split": "train", "index": 11362}
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: David, Michael, Sebastian, Grace, Noah, Alexander, Aurora, Penelope, and Chloe. David asserted: \"it is not the case that (Aurora is an angel if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"telling-trut...
{"split": "train", "index": 11363}
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: Abigail, Noah, Aria, Penelope, Jack, Joseph, Alexander, Elizabeth, and Oliver. In a statement by Abigail: \"if (Joseph is a devil and Oliver is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 8], [\"lying\", 8]], [\"and\", [\"lying\", 1], [\"lying\", 6], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\"...
{"split": "train", "index": 11364}
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: Daniel, Emily, Joseph, Penelope, Aria, Jack, Riley, Ella, and Lucas. Daniel told you that if (if Ella is a sinner then Jack is a sinner) then (Riley ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"->\", [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [...
{"split": "train", "index": 11365}
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: Emma, William, Ethan, Noah, Riley, Jackson, Logan, Chloe, and Lucas. Emma asserted: \"(Lucas is a saint or Noah is a sinner or Jackson is a saint or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\", 5], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"...
{"split": "train", "index": 11366}
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: Sophia, Zoey, Joseph, Grace, Chloe, Jackson, Alexander, Owen, and Samuel. Sophia said, \"(Owen is a knave or Chloe is a knight) and (Zoey is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 8]]], [\"and\", [\"lying\", 5], [\"not\", [\"telling-truth\...
{"split": "train", "index": 11367}
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: Michael, Penelope, Avery, Ethan, Chloe, Abigail, Evelyn, Mia, and Aria. \"Avery is a villain or (Aria is a hero) or Ethan is a hero or Michael is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"lying\", 8]], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 1], [\"lying\", 6], [\"telling-truth\", 0...
{"split": "train", "index": 11368}
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: Charlotte, Sofia, Elizabeth, Zoey, Michael, Benjamin, Victoria, Jackson, and Grace. Charlotte remarked, \"(Sofia is an egoist or Elizabeth is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]]...
{"split": "train", "index": 11369}
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: Benjamin, Lucas, Michael, Aurora, Logan, Henry, Oliver, Harper, and Emma. \"(Harper is a devil and Emma is an angel and Logan is an angel and Oliver is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 2], [...
{"split": "train", "index": 11370}
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: William, Matthew, Sofia, Ava, Logan, Henry, Chloe, Mia, and Jacob. William stated, \"it is not the case that (Mia is a laggard or Matthew is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"not\", [\"or\", [\"lying\", 7], [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 0]],...
{"split": "train", "index": 11371}
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: Lucas, Owen, Ethan, Matthew, Zoey, David, Henry, Sofia, and Mia. \"(Owen is a laggard) and (Mia is a laggard if and only if Matthew is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]]...
{"split": "train", "index": 11372}
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: James, Emma, Matthew, Scarlett, Abigail, Emily, Aurora, Penelope, and Chloe. \"if (Abigail is a fool if and only if Chloe is a fool) then Aurora is a sage,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"telling-truth\", 6]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 6], [\"lying\", 0]], [\"or\", [\"telling-truth\...
{"split": "train", "index": 11373}
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: Avery, Benjamin, Aria, Victoria, Henry, Amelia, Isabella, David, and Penelope. Avery expressed that (Victoria is a sinner and David is a saint and Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"<=>...
{"split": "train", "index": 11374}
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, James, Noah, Harper, Mason, Charlotte, Emily, Jacob, and Grace. \"(Noah is a sinner if and only if James is a sinner) and (Mason is a sinner ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 6], [\"lying\", 8]]], [\"lying\", 5], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]],...
{"split": "train", "index": 11375}
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, Aurora, Alexander, Emily, Henry, Evelyn, Victoria, Olivia, and Noah. Isabella said, \"Aurora is a laggard and (Emily is a pioneer or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 7], [\"l...
{"split": "train", "index": 11376}
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, Liam, Zoey, Victoria, Emily, Samuel, Riley, Aurora, and Aria. Avery noted, \"Aria is a knight if and only if (Riley is a knight)\". Liam asser...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"not\", [\"lying\", 6]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5], [\"lying\", 6]]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 1...
{"split": "train", "index": 11377}
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: Logan, Ethan, Liam, Victoria, Jack, Noah, Matthew, Evelyn, and Grace. Logan noted, \"(Liam is a villain if and only if Victoria is a villain) or (Mat...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 2]], [\"lying\", 4], [\"telling-...
{"split": "train", "index": 11378}
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: Amelia, Joseph, Lucas, Michael, Aurora, Ava, Chloe, Penelope, and Scarlett. Amelia asserted: \"(Aurora is an egoist if and only if Scarlett is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"telling-tru...
{"split": "train", "index": 11379}
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: Mason, Ava, Jacob, Luke, Avery, Harper, Abigail, Evelyn, and Samuel. In a statement by Mason: \"(Evelyn is a laggard) and (Luke is a pioneer if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"lying\", 8], [\"->\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-tru...
{"split": "train", "index": 11380}
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: Sebastian, Jackson, Aria, Sophia, Liam, Evelyn, Jack, Penelope, and Jacob. Sebastian noted, \"(Liam is a hero and Jacob is a hero and Jackson is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 8]], [\"...
{"split": "train", "index": 11381}
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, Liam, Riley, Sebastian, Samuel, Ethan, Jack, Joseph, and Ella. Emily asserted: \"(if Ella is a knave then Emily is a knight) if and only if Se...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"lying\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]...
{"split": "train", "index": 11382}
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: Owen, Aurora, Sebastian, Samuel, Jack, Noah, Jackson, Mia, and Elizabeth. Owen was heard saying, \"Mia is a sinner\". Aurora noted, \"Jack is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]...
{"split": "train", "index": 11383}
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, Henry, Grace, Charlotte, Aria, Michael, Mia, James, and Chloe. Logan noted, \"if (James is a laggard) then (Henry is a laggard if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"lying\", 5], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]], [\"or\", [\"t...
{"split": "train", "index": 11384}
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: Charlotte, Oliver, Michael, Emma, Aurora, Riley, Evelyn, Mia, and Avery. \"Mia is an egoist,\" Charlotte declared. Oliver noted, \"if (Mia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"lying\", 7], [\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 6], [\"lying\", 8]], [\"->\",...
{"split": "train", "index": 11385}
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: Evelyn, Alexander, Isabella, Aurora, Scarlett, Matthew, William, Sophia, and Emily. \"(Emily is a sage and Isabella is a sage and Emily is a fool and Isabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 8], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"not\", [\"<=>...
{"split": "train", "index": 11386}
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: Riley, Aria, David, Jack, Emily, Noah, Scarlett, Logan, and James. \"Riley is a saint\" - Riley. In a statement by Aria: \"Riley is a sinner\". In Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"telling-truth\", 0], [\"lying\", 0], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 5], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"or\", ...
{"split": "train", "index": 11387}
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: Riley, Luke, Jackson, Chloe, Joseph, Abigail, Harper, Emma, and Olivia. According to Riley, \"(if Chloe is a knight then Olivia is a knave) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"lying\", 7], [\"lyi...
{"split": "train", "index": 11388}
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, Amelia, Lucas, Liam, Abigail, Aiden, Zoey, Sebastian, and Matthew. In a statement by Alexander: \"(Matthew is a sage and Zoey is a fool and Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 7], [\"lying\", 7], [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"<...
{"split": "train", "index": 11389}
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: Aurora, Samuel, Chloe, Amelia, Scarlett, Aiden, Logan, Oliver, and Sebastian. Aurora said, \"Logan is a knight.\" Samuel remarked, \"Sebastian is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"telling-truth\", 8], [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 1...
{"split": "train", "index": 11390}
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, Scarlett, Ethan, Chloe, Sophia, Samuel, Harper, Mason, and Logan. Grace remarked, \"(if Samuel is an egoist then Harper is an altruist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"or\", [\"lyin...
{"split": "train", "index": 11391}
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: Logan, Harper, James, Jackson, Lucas, Evelyn, David, Benjamin, and Sebastian. Logan expressed that (if Harper is a villain then James is a villain) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]], [\"n...
{"split": "train", "index": 11392}
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: Logan, Noah, Jackson, Lucas, Jacob, Samuel, Michael, Abigail, and William. \"it is not the case that (Lucas is a sage if and only if Samuel is a sage)\" - ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 8], [\"lying\", 7]]],...
{"split": "train", "index": 11393}
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: Logan, Ethan, Emma, Benjamin, Michael, Jackson, Abigail, Charlotte, and Olivia. According to Logan, \"Michael is an angel\". Ethan said, \"Logan is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 6]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [...
{"split": "train", "index": 11394}
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: Mia, Michael, Lucas, Alexander, Noah, Sophia, Emma, Jack, and Ella. Mia expressed that (Lucas is an altruist or Jack is an egoist) or (Jack is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 7]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1], [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"...
{"split": "train", "index": 11395}
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: Penelope, Jacob, Samuel, Henry, Jack, Lucas, Matthew, Owen, and Charlotte. \"(Samuel is a knight if and only if Charlotte is a knight) or (Henry is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"lying\", 0], [\...
{"split": "train", "index": 11396}
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: Alexander, Liam, Ava, Sebastian, Aurora, Grace, Emily, Noah, and Sophia. Alexander remarked, \"it is not the case that (Sophia is a devil or Sophia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 5]]], [\"->\"...
{"split": "train", "index": 11397}
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: Sofia, Jack, Matthew, Amelia, Grace, Owen, Sebastian, James, and David. Sofia said that it is not the case that (Jack is a villain). Jack stated, \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"ly...
{"split": "train", "index": 11398}
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: Sebastian, Zoey, Liam, Lily, Michael, Harper, Avery, Benjamin, and Mia. Sebastian asserted: \"(Lily is a hero and Liam is a hero) or (Zoey is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"or\", [\"lying\", 5], [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\...
{"split": "train", "index": 11399}