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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, Grace, Abigail, Alexander, William, Aria, Ethan, Isabella, and Jack. \"if ((Ethan is a knight and Alexander is a knight) if and only if (Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>...
{"split": "train", "index": 13600}
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, James, Charlotte, William, Sebastian, Luke, Matthew, Lucas, and Logan. In Samuel's words: \"if Lucas is a knave then ((Logan is a knave or Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"->\", [\"lying\", 7], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]]], [\"not\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6...
{"split": "train", "index": 13601}
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, James, Joseph, Chloe, Jackson, William, Oliver, Benjamin, and Sebastian. Abigail noted, \"((James is an angel) or (Chloe is an angel and Jacks...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 5]]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth...
{"split": "train", "index": 13602}
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, Zoey, Grace, Aiden, Jackson, Daniel, Charlotte, Penelope, and Liam. Ella told you that Daniel is a laggard. As Zoey put it, \"it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"lying\", 5], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]]]], [\"not\", [\"not\", [\"not\", [\"lying\", 0]]]], [\"not\", [\"not\", [\"and\", [\"te...
{"split": "train", "index": 13603}
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, Henry, Ella, Matthew, Abigail, Ava, Benjamin, Daniel, and Charlotte. Amelia said that ((Abigail is a saint or Ella is a saint) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"lying\", 4]], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"not\", ...
{"split": "train", "index": 13604}
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, Abigail, Chloe, Jackson, Luke, Jacob, Sebastian, Emma, and Victoria. Olivia noted, \"((Luke is an angel or Abigail is an angel) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]]]...
{"split": "train", "index": 13605}
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, Mason, Aria, William, Matthew, Joseph, Aiden, Noah, and Avery. Harper remarked, \"it is not the case that (if (if Avery is a pioneer th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]]]], [\"or\", [\"telling-truth\", 0], [\"not\", [\"not\", [\"telling-truth\", 5]]]], [\"or\", [...
{"split": "train", "index": 13606}
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, Charlotte, Aria, Joseph, Elizabeth, Harper, Ava, Jackson, and Olivia. Sophia said, \"Olivia is a villain.\" Charlotte remarked, \"if (it is n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"lying\", 8], [\"->\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]]], [\"lying\", 0]], [\"lying\", 3], [\"lying\", 4], [\"or\", [\"lying\", 2], [\"not\", [\"and\", [\"lying\", 7], [\"telling-trut...
{"split": "train", "index": 13607}
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: Jacob, Joseph, Evelyn, Penelope, Ava, Sebastian, Olivia, Samuel, and Emily. Jacob told you that Sebastian is a knave. \"((Jacob is a knight or Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"lying\", 5], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"telling-truth\", 0]], [\"and\", [\"lying\", 5], [\"or\", ...
{"split": "train", "index": 13608}
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, Jacob, Abigail, Emily, Oliver, Victoria, Olivia, James, and Ethan. Jack told you that it is not the case that ((if Jack is a knight then Ethan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"not\", [\"telling-truth\", 3]]]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"not\", [\"lying\", 6]], [\"lying\", 3]], [\"not\",...
{"split": "train", "index": 13609}
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: Aurora, Grace, Lucas, Logan, Isabella, Jackson, Noah, Mason, and Henry. Aurora was heard saying, \"Lucas is a saint\". Grace told you that ((Mason is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"lying\", 3]], [\"->\", [\"or\", [\"not\", [...
{"split": "train", "index": 13610}
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: James, Charlotte, Grace, Evelyn, Noah, Sebastian, Olivia, Jacob, and David. \"((Grace is a sinner or Charlotte is a sinner) and Evelyn is a saint) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 3]], [\"or\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]]]], [\"or\", [\"->\", [\"<...
{"split": "train", "index": 13611}
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: Sophia, Noah, Joseph, David, Henry, Avery, Charlotte, Zoey, and Elizabeth. \"((Charlotte is a fool and Zoey is a fool) if and only if David is a fool) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 7]], [\"lying\", 3]], [\"not\", [\"lying\", 5]]], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"telli...
{"split": "train", "index": 13612}
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, Ava, Victoria, Oliver, Liam, Emily, Matthew, Lily, and Sebastian. Henry remarked, \"Ava is a pioneer if and only if (Oliver is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]]], [\"lying\", 3], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]]...
{"split": "train", "index": 13613}
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: Sebastian, Olivia, Grace, Riley, Owen, Abigail, Matthew, Mason, and Lily. Sebastian said that Olivia is an angel. Olivia remarked, \"if Riley is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"telling-truth\", 3], [\"->\", [\"not\", ...
{"split": "train", "index": 13614}
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, Isabella, Amelia, Chloe, Joseph, Victoria, Sofia, Logan, and Ava. \"((Chloe is a laggard) if and only if (Joseph is a laggard and Sofia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", 2], [\"lying\", 1]]]], [\"and\"...
{"split": "train", "index": 13615}
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: Jackson, Luke, Jacob, Henry, Penelope, Owen, Mia, Chloe, and James. \"(if (Henry is an egoist) then (Penelope is an egoist and Jackson is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [...
{"split": "train", "index": 13616}
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, Zoey, Jack, Sofia, William, Joseph, Grace, Charlotte, and Olivia. As Emily put it, \"if Joseph is a devil then Charlotte is a devil\". \"(if (Gr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"->\", [\"lying\", 5], [\"lying\", 7]], [\"or\", [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]...
{"split": "train", "index": 13617}
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: Aria, Emma, Harper, Ethan, Matthew, Victoria, Emily, Sofia, and James. Aria commented, \"Emily is a devil\". Emma stated, \"if ((if James is a devil th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"lying\", 6], [\"->\", [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1],...
{"split": "train", "index": 13618}
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: Aria, Aiden, Michael, Sophia, Lucas, Harper, Grace, Riley, and Ethan. Aria was heard saying, \"(it is not the case that (Riley is a hero and Ethan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], ...
{"split": "train", "index": 13619}
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, Zoey, Emma, Joseph, Evelyn, William, Liam, Alexander, and Logan. \"((if Isabella is a knight then Emma is a knave) if and only if (Logan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"and\", [\"lying\", ...
{"split": "train", "index": 13620}
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: Alexander, Emma, Owen, Sofia, Logan, James, Jack, Penelope, and Lily. According to Alexander, \"(if (Sofia is an egoist) then (Owen is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"lying\", 4]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-tru...
{"split": "train", "index": 13621}
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: Ava, Lily, Logan, Mia, Henry, Michael, Isabella, Luke, and Mason. \"Mia is a villain,\" Ava mentioned. In Lily's words: \"Mia is a hero or ((Michael ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"and\", [\"lying\", 3], [\"lying\", 6]]]], [\"or\", [\"lying\", 7], [\"or\", [\"and\", [\"telling-tr...
{"split": "train", "index": 13622}
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: Lily, Lucas, Jacob, Penelope, Isabella, Riley, Sofia, Chloe, and Ethan. Lily expressed that Chloe is a sage or Isabella is a fool. Lucas told you that Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"lying\", 4], [\"->\", [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 6], [\"lying\", 5]]], [\"telling-truth\", 0]],...
{"split": "train", "index": 13623}
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, Lucas, Abigail, Mia, Isabella, Logan, Aiden, Amelia, and Scarlett. Avery stated, \"if ((Lucas is a pioneer and Lucas is a laggard) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 5...
{"split": "train", "index": 13624}
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: Grace, Aurora, Scarlett, Joseph, Victoria, Jackson, Noah, Evelyn, and Penelope. \"(Jackson is a hero and (Victoria is a villain or Scarlett is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"not...
{"split": "train", "index": 13625}
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: Samuel, Emma, Penelope, Elizabeth, Logan, Sophia, Avery, Jack, and Aria. Samuel noted, \"(Emma is a pioneer) and ((if Logan is a laggard then A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"and\", [\"lying\", 2], [\"telling-truth\", 5]]]], [\"not\", [\"lying\", 5]], [\"<=>\", [\"->\", [\"telling-truth\...
{"split": "train", "index": 13626}
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: Sofia, Grace, Sophia, Amelia, Luke, Liam, Olivia, Ethan, and Mason. According to Sofia, \"(it is not the case that (Olivia is a knight if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"telling-truth\", 4]], [\"telling-truth\", 8], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 8], [\"tel...
{"split": "train", "index": 13627}
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: Mia, Jackson, David, Matthew, William, Penelope, Emily, Aiden, and Grace. Mia said, \"(if Grace is a hero then (Matthew is a villain and William is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"an...
{"split": "train", "index": 13628}
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: Joseph, Elizabeth, Emma, Sebastian, Sofia, Scarlett, Alexander, Grace, and Daniel. Joseph said, \"((Scarlett is a pioneer if and only if Emma i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"lying\", 3]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 1]]]], [\"lying\", 6], [\"->\", [\"<=>\", [\"or\", [\"telling-...
{"split": "train", "index": 13629}
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: Jack, James, Michael, Oliver, Evelyn, Logan, Mia, Penelope, and David. Jack said that Logan is a saint. \"Jack is a sinner\" - James. Michael remarke...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"telling-truth\", 5], [\"lying\", 0], [\"not\", [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 0]]], [\"n...
{"split": "train", "index": 13630}
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: Victoria, Isabella, Jack, Ella, Aria, William, Lucas, Riley, and Luke. In a statement by Victoria: \"it is not the case that (Ella is a hero or (Luca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]]]], [\"lying\", 3], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"...
{"split": "train", "index": 13631}
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, Avery, Chloe, Sophia, Liam, James, Lucas, Isabella, and Jack. \"it is not the case that ((Lucas is an altruist and Liam is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"lying\", 0]], [\"and\", [\"not\", [\"lying\", 8]], [...
{"split": "train", "index": 13632}
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: Elizabeth, Jack, Oliver, Victoria, Ethan, Ella, Riley, Harper, and Mason. Elizabeth was heard saying, \"Harper is a fool\". Jack was heard saying, \"(it is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"lying\", 7], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]], [\"not\", [\"->\", [\...
{"split": "train", "index": 13633}
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: Victoria, Liam, Aurora, Mia, Lily, Ava, Avery, Daniel, and Jacob. Victoria stated, \"(it is not the case that (Jacob is an angel)) or Jacob is a devil\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 8]]], [\"lying\", 8]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"telling-truth\", ...
{"split": "train", "index": 13634}
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, Zoey, Joseph, Michael, Mason, Liam, Aiden, Ella, and Olivia. As Benjamin put it, \"(it is not the case that (Aiden is a laggard if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\"telling-truth\", 8]], [\"lying\", 8], [\"->\", [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 8]]], [\"not\", [\"<=>\", [\"lying\", 5], [...
{"split": "train", "index": 13635}
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: Jack, Liam, Isabella, Ella, Samuel, Lucas, Charlotte, Alexander, and Oliver. In a statement by Jack: \"(it is not the case that (Lucas is a devil)) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"and\", [\"telling-t...
{"split": "train", "index": 13636}
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, Olivia, Matthew, Benjamin, Abigail, James, Aurora, Lily, and Elizabeth. \"((if Lily is a saint then Abigail is a saint) or (Aurora is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"and\"...
{"split": "train", "index": 13637}
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, James, Logan, Michael, Harper, Liam, Ethan, Victoria, and Daniel. In Scarlett's words: \"((Daniel is a pioneer if and only if Michael...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"<=>\", [\"lying\", 8], [\"lying\", 6]]], [\"lying\", 1]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying...
{"split": "train", "index": 13638}
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: Harper, Oliver, Michael, Chloe, Jack, Scarlett, Benjamin, Matthew, and Luke. Harper expressed that it is not the case that ((Oliver is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]]]], [\"->\", [\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], [\"telling-truth\...
{"split": "train", "index": 13639}
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: Sophia, Daniel, Grace, Harper, Scarlett, Benjamin, Abigail, Isabella, and Lily. \"if Isabella is an angel then (Lily is a devil or (if Harper is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"or\", [\"lying\", 8], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"or\", [\"lying\", 6], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8]]]], [\"or\...
{"split": "train", "index": 13640}
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, Sofia, Riley, Mason, Penelope, Sophia, Jacob, Grace, and Sebastian. In a statement by Benjamin: \"((Sophia is a hero if and only if Sofia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"and\", [\"lying\", 7], [\"lying\", 5]]], [\"->\", [\"lying\", 1], [\"lying\", 6]]], [\"telling-truth\", 2], [\"<=>\", [\"or...
{"split": "train", "index": 13641}
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: Daniel, Lily, Ella, Alexander, Liam, Sebastian, Matthew, Olivia, and Charlotte. Daniel said, \"if Sebastian is a devil then Liam is a devil.\" Lily exp...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"->\", [\"lying\", 5], [\"lying\", 4]], [\"->\", [\"lying\", 7], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]]]], [\"or\", [\"not...
{"split": "train", "index": 13642}
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: Evelyn, Harper, Mason, Riley, Olivia, Noah, Elizabeth, Isabella, and Luke. \"it is not the case that (it is not the case that (Olivia is a devil if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]]]], [\"and\", [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 3]]], [\"telling-truth\", 2]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 6], [\"tel...
{"split": "train", "index": 13643}
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, Emily, Samuel, Harper, Elizabeth, Amelia, David, Riley, and Evelyn. In a statement by William: \"if ((Riley is a knight or Elizabeth is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6]]]], [\"not\", [\"o...
{"split": "train", "index": 13644}
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, Emma, Noah, Avery, Aria, Ella, Mia, Amelia, and Samuel. Jack said, \"it is not the case that ((Ella is a knight or Mia is a knight) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", ...
{"split": "train", "index": 13645}
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: Matthew, Ava, Jack, Mia, Lucas, Amelia, Oliver, Harper, and Chloe. Matthew was heard saying, \"Chloe is a knight\". \"Harper is a knave\" - Ava. Jack...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"not\", [\"lying\", 8]], [\"lying\", 7], [\"or\", [\"telling-truth\", 1], [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"lying\", 4]]], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"l...
{"split": "train", "index": 13646}
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: Victoria, Michael, Sophia, Ella, Mia, Chloe, Sofia, Benjamin, and Joseph. Victoria told you that if Michael is an altruist then (Chloe is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 0]]], [\"lying\", 7]...
{"split": "train", "index": 13647}
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: Joseph, Victoria, Noah, Avery, William, Liam, Sophia, Logan, and Aiden. Joseph said that ((Sophia is a pioneer and Liam is a pioneer) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"telling-truth\", 5]], [\"telling-truth\", 6]], [\"->\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 5]], [\"or\", [\"t...
{"split": "train", "index": 13648}
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, Aurora, Alexander, Joseph, David, Michael, Lucas, Sophia, and James. Sebastian noted, \"(it is not the case that (if Sophia is a hero then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"telling-truth\", 8]], [\"lying\", 6], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 4]], [\"->\", [\"or\", [\"and...
{"split": "train", "index": 13649}
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, Jack, Sofia, James, Charlotte, William, Lily, Ella, and Alexander. \"it is not the case that ((William is a knave if and only if Charlotte ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 5]]]], [\"and\", [\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"telling...
{"split": "train", "index": 13650}
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: William, Aurora, Matthew, Emma, Ella, Victoria, Scarlett, Evelyn, and Michael. William asserted: \"((William is an altruist if and only if Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 6], [\"tel...
{"split": "train", "index": 13651}
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, Charlotte, Liam, Benjamin, Owen, Sofia, Jack, Joseph, and Ava. \"Sofia is a pioneer,\" Daniel mentioned. In Charlotte's words: \"Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"telling-truth\", 5], [\"lying\", 3], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"lying\", 1]]], [\"lying\", 4], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7]...
{"split": "train", "index": 13652}
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: Lucas, Aurora, Alexander, Olivia, Henry, Aiden, Avery, Oliver, and Amelia. Lucas remarked, \"Olivia is a sinner\". Aurora noted, \"it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 7]], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 7]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 13653}
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: Oliver, Isabella, Jackson, Sebastian, Emily, Liam, Daniel, David, and Riley. \"(if (if Isabella is a knave then David is a knight) then (Emily is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]], [\"or\", [\"tel...
{"split": "train", "index": 13654}
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, Olivia, Zoey, William, Elizabeth, Aiden, Isabella, Riley, and Samuel. Oliver was heard saying, \"if ((Olivia is a pioneer or Samuel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8]], [\"and\", [\"lying\", 1], [\"lying\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"or\", [\...
{"split": "train", "index": 13655}
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: Ava, Mia, Benjamin, Daniel, Amelia, Liam, Sophia, Samuel, and Jacob. Ava commented, \"((if Samuel is a pioneer then Daniel is a laggard) or (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 6]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 7]]]...
{"split": "train", "index": 13656}
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, Grace, Aria, Oliver, Jackson, Lucas, Riley, Victoria, and Chloe. Penelope remarked, \"Jackson is an egoist\". Grace remarked, \"Jacks...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 5], [\"lying\", 0]]]], [\"and\", [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 5]], [\"...
{"split": "train", "index": 13657}
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, Luke, Elizabeth, Ethan, Sebastian, Alexander, Oliver, Zoey, and Logan. In Mason's words: \"(it is not the case that (Sebastian is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"not\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-tru...
{"split": "train", "index": 13658}
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: Matthew, David, Henry, Olivia, Jackson, Jacob, Elizabeth, Chloe, and Luke. Matthew noted, \"if (if (Elizabeth is a hero if and only if Olivia is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"lying\", 6]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 5]]]], [\"->\", [\"n...
{"split": "train", "index": 13659}
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: Chloe, Jack, Ethan, Jacob, David, Grace, Noah, Amelia, and Oliver. According to Chloe, \"Ethan is a laggard\". Jack expressed that it is not th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]]]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 8], [\"tell...
{"split": "train", "index": 13660}
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: Aiden, Oliver, Sophia, Henry, Elizabeth, Jack, Michael, Charlotte, and Isabella. \"if ((Oliver is an angel if and only if Sophia is an angel) and (if C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 7], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"telling-truth\", 4]...
{"split": "train", "index": 13661}
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: Emma, Jack, Jackson, Olivia, Jacob, Aria, Liam, Abigail, and Daniel. In Emma's words: \"((if Jackson is a devil then Aria is an angel) or Jackson is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"telling-truth\", 2]], [\"telling-truth\", 6]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"->\"...
{"split": "train", "index": 13662}
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, Scarlett, Jacob, Olivia, Daniel, Ella, Grace, Harper, and Liam. In Ethan's words: \"(if (Olivia is a laggard) then Olivia is a pioneer) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 7]]]], [\"or\", [\"telling-...
{"split": "train", "index": 13663}
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: Owen, Emily, Isabella, Victoria, Oliver, Mia, Noah, Logan, and Penelope. Owen remarked, \"(it is not the case that (Noah is an egoist if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"and\...
{"split": "train", "index": 13664}
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, Isabella, Lucas, Victoria, Charlotte, Elizabeth, Chloe, Mia, and Jacob. \"(if (Elizabeth is a hero) then (if Jacob is a hero then Elizabeth is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 6]]]], [\"and\", [\"lying\", 5], [\"->\", [\"not\", [\"lying...
{"split": "train", "index": 13665}
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, Aurora, Oliver, Sebastian, Daniel, James, Noah, Mia, and Emma. \"Sebastian is an angel or ((if Mia is an angel then Mia is a devil) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 7]], [\"lying\", 7]]], [\"lying\", 4], [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 5], [\"not\", [\"->\"...
{"split": "train", "index": 13666}
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, Lucas, Grace, Victoria, Samuel, Luke, Amelia, Joseph, and Sebastian. \"if ((Victoria is a sinner and Sebastian is a sinner) if and only if (G...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"lying\", 6], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]]]], [\"lying\", 6], [\"n...
{"split": "train", "index": 13667}
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: Alexander, Grace, Victoria, Sebastian, Evelyn, Amelia, Ava, Jacob, and William. Alexander remarked, \"(if (Amelia is a hero and Sebastian is a hero) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"->\", [\"t...
{"split": "train", "index": 13668}
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: Amelia, Ava, Chloe, Daniel, Lily, Michael, Elizabeth, Olivia, and Ella. \"Michael is a villain,\" Amelia claimed. According to Ava, \"(if (Lily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 0]], [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 8]]]], [\"<=>\", [\"or\",...
{"split": "train", "index": 13669}
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, Grace, Victoria, Emily, Ava, Harper, Mason, Noah, and Zoey. Lucas stated, \"if ((if Ava is a pioneer then Zoey is a laggard) and (Grace ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"tell...
{"split": "train", "index": 13670}
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: Oliver, Ella, Victoria, Jacob, Mia, Isabella, Lily, Benjamin, and Jack. \"((Benjamin is a fool or Lily is a sage) if and only if (Ella is a sage if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]], [\"->\", [\"tell...
{"split": "train", "index": 13671}
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: Aurora, Michael, Scarlett, Sofia, Oliver, Lily, Grace, David, and Logan. Aurora expressed that (Michael is a saint) if and only if ((David is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 0], [\...
{"split": "train", "index": 13672}
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: Victoria, Alexander, Avery, Sebastian, Elizabeth, Isabella, David, Mason, and Aria. Victoria was heard saying, \"((Avery is an egoist) or (Alex...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"lying\", 1]]]], [\"not\", [\"not\"...
{"split": "train", "index": 13673}
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: Olivia, Charlotte, Jack, Benjamin, Ella, Emma, Zoey, Chloe, and Mia. Olivia noted, \"(Emma is a laggard and (Charlotte is a pioneer or Benjamin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 4]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 1]],...
{"split": "train", "index": 13674}
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: Mia, Daniel, Lucas, Harper, Michael, Avery, Olivia, James, and Luke. In Mia's words: \"Avery is a laggard\". Daniel expressed that if (it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"lying\", 5], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"<...
{"split": "train", "index": 13675}
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, Penelope, Luke, Riley, Amelia, Lucas, Jackson, Owen, and Henry. \"(if (Jackson is an altruist and Riley is an altruist) then (Owen i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"not\", [\"lying\", 7]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 5]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth...
{"split": "train", "index": 13676}
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: Jack, Sofia, Joseph, James, Aurora, Zoey, Grace, Amelia, and Lily. \"((Joseph is a villain and Lily is a villain) if and only if (Joseph is a hero or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]...
{"split": "train", "index": 13677}
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, Charlotte, Logan, Isabella, Aria, Amelia, Henry, Grace, and Jack. Avery told you that Aria is a pioneer. Charlotte noted, \"if ((Charlot...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6]], [\"telling-...
{"split": "train", "index": 13678}
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: Sofia, Abigail, Grace, Joseph, Victoria, Sebastian, James, Elizabeth, and Liam. According to Sofia, \"if (if (if Grace is a sinner then Sebastian is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 5], [\"lying\", 2]]], [\"telling-truth\", 6]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"->\", [\"ly...
{"split": "train", "index": 13679}
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: Lily, Chloe, Zoey, Samuel, William, Sofia, Lucas, Abigail, and Riley. \"it is not the case that ((Lucas is a knave) or (if Lily is a knight then Zoey...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"not\", [\"lying\", 2]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\",...
{"split": "train", "index": 13680}
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: Jack, Amelia, Liam, Michael, Zoey, Mia, Ava, Noah, and Evelyn. \"((Jack is a pioneer or Amelia is a pioneer) and (Mia is a pioneer)) or ((Liam ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", ...
{"split": "train", "index": 13681}
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: Amelia, Noah, Sofia, Elizabeth, Lucas, Aria, Aiden, Victoria, and Mason. Amelia said that (Aria is a sage or (Elizabeth is a fool or Lucas is a sage)) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]]]], [\"->\", [\"<=>\", [\"not\", [\"telling-...
{"split": "train", "index": 13682}
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: Sebastian, Emily, Grace, Scarlett, Liam, Logan, Charlotte, James, and Avery. In Sebastian's words: \"(Scarlett is a devil and (Logan is an angel and Em...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]]], [\"not\", [\"telling-truth\", 2]],...
{"split": "train", "index": 13683}
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, Charlotte, Alexander, Ella, Mason, Aria, Sebastian, Chloe, and Matthew. Logan remarked, \"Matthew is a fool\". As Charlotte put it, \"it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"lying\", 8], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]]]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"...
{"split": "train", "index": 13684}
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, Jack, Scarlett, Amelia, Avery, Daniel, Aurora, Riley, and Ava. Jacob noted, \"Jack is a villain\". Jack expressed that Avery is a villain and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"lying\", 1], [\"and\", [\"lying\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"lying\", 7]]], [\"->\", [\"lying\", 1], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth...
{"split": "train", "index": 13685}
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: Avery, Penelope, Olivia, Samuel, Victoria, Charlotte, Chloe, Riley, and Michael. \"Olivia is an altruist\" - Avery. \"if ((Samuel is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"tell...
{"split": "train", "index": 13686}
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: Chloe, Jack, Riley, Sofia, Samuel, Sophia, Avery, Aiden, and Scarlett. Chloe told you that if ((Avery is a pioneer and Scarlett is a laggard) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"not\", [\"telling...
{"split": "train", "index": 13687}
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: Mia, Lucas, James, William, Daniel, Oliver, Emma, Zoey, and Liam. Mia noted, \"Zoey is a knave and (it is not the case that (James is a knave))\". Ac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 354, \"statements\": [[\"and\", [\"lying\", 7], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"telling-truth\", ...
{"split": "train", "index": 13688}
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, Victoria, Aiden, Amelia, Avery, Charlotte, Benjamin, Scarlett, and Riley. Penelope remarked, \"Avery is a villain\". Victoria was heard say...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 355, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"no...
{"split": "train", "index": 13689}
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, Chloe, Evelyn, Abigail, Liam, Sebastian, Aiden, James, and William. \"(if (if Chloe is a devil then Chloe is an angel) then (Sebastian is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 356, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1]], [\"lying\", 8]]], [\"tel...
{"split": "train", "index": 13690}
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, Luke, Avery, Amelia, Mason, Matthew, Riley, Isabella, and Penelope. David stated, \"Penelope is an angel\". Luke remarked, \"((Penelope is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 357, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 5]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"<=>\", [\"tell...
{"split": "train", "index": 13691}
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, Riley, Emily, Aria, Grace, Penelope, Mia, Liam, and Benjamin. In Samuel's words: \"(Riley is a knight or (Riley is a knave)) or (Aria is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 358, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 7], [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 8]...
{"split": "train", "index": 13692}
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: Jacob, Samuel, Emily, Charlotte, Harper, David, Benjamin, Liam, and Ava. Jacob remarked, \"(it is not the case that (Harper is a devil and Jacob is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 359, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"telling-truth\", 6]]], [\"telling-truth\", 1], [\"and\", [\"not\", [\"<=>\", ...
{"split": "train", "index": 13693}
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, Amelia, Henry, Sofia, Jacob, Elizabeth, Victoria, Michael, and Penelope. Avery told you that Henry is a sage and (if (Sofia is a fool) then (Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]]]], [\"->\", [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 8], [\"->\"...
{"split": "train", "index": 13694}
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: Mason, Michael, David, Sofia, James, Noah, Henry, Isabella, and Emma. Mason said that Michael is a sinner. \"David is a sinner and (it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 361, \"statements\": [[\"lying\", 1], [\"and\", [\"lying\", 2], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [...
{"split": "train", "index": 13695}
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: Emily, Avery, Sophia, Matthew, Ava, Harper, Emma, Henry, and Grace. As Emily put it, \"((if Emma is a laggard then Ava is a laggard) or (Emma i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 362, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 7...
{"split": "train", "index": 13696}
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, Sebastian, Sofia, Penelope, Henry, Joseph, Chloe, Riley, and Abigail. According to Ella, \"((Penelope is a knight and Sofia is a knight) and (J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 363, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 5], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"<=>\", [\...
{"split": "train", "index": 13697}
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: David, Scarlett, Sophia, Oliver, Noah, Victoria, Mason, Abigail, and Sebastian. As David put it, \"Abigail is a knight\". \"((if Noah is a knight the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 364, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]]], ...
{"split": "train", "index": 13698}
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: Aurora, Emily, Mason, Riley, Ava, Penelope, Victoria, Chloe, and Elizabeth. Aurora expressed that Penelope is a saint or (if Mason is a saint then (P...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 2], [\"not\", [\"lying\", 5]]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-...
{"split": "train", "index": 13699}