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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: Logan, Matthew, Sofia, Sophia, James, Zoey, Aria, Jack, and Ava. Logan stated, \"Matthew is a sinner or James is a sinner\". \"James is a saint,\" Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1166, \"statements\": [[\"or\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]]], [\"<=>\", [\"->...
{"split": "train", "index": 14500}
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: Penelope, William, Jack, Emily, Daniel, Matthew, Elizabeth, Mia, and Aiden. According to Penelope, \"William is a saint\". William stated, \"Daniel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1167, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 4], [\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"and\", [\"tell...
{"split": "train", "index": 14501}
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: Liam, Olivia, Emma, Alexander, Riley, Jack, Evelyn, Amelia, and Sofia. Liam remarked, \"(if (Evelyn is a knight or Jack is a knave) then (if Evelyn i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1168, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 3]]], [\"not\", [\"...
{"split": "train", "index": 14502}
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, Grace, Matthew, Aria, Victoria, Ethan, Sophia, Ella, and William. \"((Aria is a saint if and only if Matthew is a saint) and (Victoria is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1169, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]]]]...
{"split": "train", "index": 14503}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ava, Scarlett, Avery, Joseph, Daniel, William, Luke, Jack, and Elizabeth. \"William is a knight if and only if ((Daniel is a knave if and only if Luk...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1170, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 5], [\"telling-tr...
{"split": "train", "index": 14504}
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, Liam, Abigail, Grace, Aurora, Isabella, Jack, Harper, and Ava. William stated, \"if ((Isabella is a sinner and Grace is a sinner) and (Auror...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1171, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"or\", [\"t...
{"split": "train", "index": 14505}
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: Logan, James, Alexander, Daniel, Lily, Evelyn, Jacob, Lucas, and Oliver. According to Logan, \"Lucas is an egoist\". James said, \"Evelyn is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1172, \"statements\": [[\"lying\", 7], [\"lying\", 5], [\"not\", [\"lying\", 1]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"lying\", 0]], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"an...
{"split": "train", "index": 14506}
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, Oliver, Amelia, Ella, Lily, Penelope, Avery, Jack, and Jacob. \"((Ella is a villain or Oliver is a hero) and (Lily is a villain or Avery is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1173, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"l...
{"split": "train", "index": 14507}
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: Samuel, James, Liam, Lucas, Sofia, Jacob, Victoria, Grace, and Luke. Samuel noted, \"(Luke is an egoist or (if Lucas is an egoist then Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1174, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 8], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]], [\"not\", [\"telling-t...
{"split": "train", "index": 14508}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Alexander, Abigail, Scarlett, Emily, Mia, Lucas, James, Jack, and Aria. Alexander expressed that ((James is a laggard or Jack is a laggard) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1175, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 7]], [\"lying\", 5]]], [\"and\", [\"telling-truth\", 0], [\"or\", [...
{"split": "train", "index": 14509}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ava, Mia, Olivia, Benjamin, Noah, Samuel, David, Chloe, and Liam. Ava commented, \"Mia is a knave if and only if ((Samuel is a knight and Liam is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1176, \"statements\": [[\"<=>\", [\"lying\", 1], [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]], [\"<=>\", [\"...
{"split": "train", "index": 14510}
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: Lily, Logan, Amelia, Evelyn, Matthew, Sebastian, Ethan, Avery, and Mason. Lily told you that it is not the case that (Sebastian is an altruist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1177, \"statements\": [[\"not\", [\"not\", [\"lying\", 5]]], [\"not\", [\"and\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]]]], [\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1...
{"split": "train", "index": 14511}
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, Charlotte, Chloe, Riley, Penelope, Jackson, Sophia, James, and Logan. \"(if Sophia is a pioneer then (James is a laggard and Logan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1178, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 6], [\"and\", [\"lying\", 7], [\"lying\", 8]]], [\"lying\", 5]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-...
{"split": "train", "index": 14512}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Charlotte, Penelope, Joseph, Daniel, Ella, Abigail, Victoria, Harper, and Emily. \"(if (if Penelope is a laggard then Joseph is a laggard) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1179, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]]]], [\"<=>\", [\"->\", [...
{"split": "train", "index": 14513}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Joseph, Michael, Evelyn, Amelia, Lucas, William, Jacob, Owen, and Liam. In Joseph's words: \"(it is not the case that (if Michael is a knave then Eve...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1180, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 6], [\"lying\", 5]]]], [\"->\", [\"->\", [...
{"split": "train", "index": 14514}
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: Sebastian, Amelia, Michael, Joseph, Benjamin, Luke, Liam, Chloe, and Lily. Sebastian asserted: \"Chloe is a sinner or ((Liam is a saint and Lily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1181, \"statements\": [[\"or\", [\"lying\", 7], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"...
{"split": "train", "index": 14515}
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, Michael, Penelope, Victoria, James, Ava, Noah, Aiden, and Sebastian. Amelia stated, \"((Michael is a sage if and only if Noah is a fool) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1182, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]], [\"telling-truth\", 7]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"->\", [\"lying\", 7], ...
{"split": "train", "index": 14516}
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, Daniel, Aria, Owen, Noah, Henry, Aurora, Mia, and Emily. Sofia noted, \"it is not the case that ((Aurora is a saint or Emily is a saint) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1183, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]]]], [\"lying\", 8], [\"telling-truth\", 1], [\"->\", [\"or\", [\"lyin...
{"split": "train", "index": 14517}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Elizabeth, Amelia, Noah, Jacob, Aria, Abigail, Emma, Joseph, and Evelyn. Elizabeth was heard saying, \"Joseph is a villain\". Amelia told you that if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1184, \"statements\": [[\"lying\", 7], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 0]]], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], ...
{"split": "train", "index": 14518}
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: Abigail, Emma, Jacob, Victoria, Luke, Sophia, Jack, James, and Isabella. \"(Luke is a fool if and only if Abigail is a sage) if and only if Victoria is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1185, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"lying\", 8], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [...
{"split": "train", "index": 14519}
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, Oliver, Luke, Sebastian, Olivia, Logan, Jackson, Penelope, and Evelyn. Harper said, \"Evelyn is a pioneer.\" \"(if (Olivia is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1186, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"<=>...
{"split": "train", "index": 14520}
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: Charlotte, Matthew, Sofia, Luke, Lucas, Ava, Daniel, Zoey, and Aiden. Charlotte stated, \"((Ava is a knave) and Sofia is a knave) or (Matthew is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1187, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]]], [\"and\", [\"or\", [\"not\", [\"lying\", 4]],...
{"split": "train", "index": 14521}
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, Sebastian, Abigail, Elizabeth, Mia, Daniel, Charlotte, Harper, and Ella. \"if (it is not the case that (Harper is a sinner or Daniel is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1188, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 2]], [\"and\", [\"telling-truth\", 6], [\"lying\", 1]]]], [\"<=>\", [\"lying\"...
{"split": "train", "index": 14522}
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, Ava, Sofia, Sebastian, William, Elizabeth, Mia, Luke, and Grace. Emma was heard saying, \"William is a sage\". \"Grace is a fool and William is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1189, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 8], [\"lying\", 6]]], [\"telling-tru...
{"split": "train", "index": 14523}
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: Chloe, Evelyn, Abigail, Aria, David, Avery, Ethan, Henry, and Alexander. As Chloe put it, \"((Evelyn is a sinner or Alexander is a saint) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1190, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6]]]], [\"<=>\", [...
{"split": "train", "index": 14524}
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: Chloe, Abigail, Matthew, Harper, Grace, Luke, Henry, Charlotte, and Olivia. Chloe was heard saying, \"if (Luke is an angel) then ((Matthew is a devil a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1191, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 2]]], [\"lying\", 2]], [\"o...
{"split": "train", "index": 14525}
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: Grace, Jack, Lucas, Logan, Owen, Emily, Benjamin, Samuel, and Amelia. Grace stated, \"(if (Lucas is a knave if and only if Owen is a knight) then (Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1192, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]]]], [\"not\", [\"->\", [\"->\",...
{"split": "train", "index": 14526}
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, Benjamin, Lily, James, Aurora, Zoey, Scarlett, Charlotte, and Ella. Penelope commented, \"Aurora is a knight\". As Benjamin put it, \"(it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1193, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2]], [\"lying\", 6]]], [\"or\", [\"not\", [\"lying\",...
{"split": "train", "index": 14527}
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, Daniel, James, Ella, Logan, Evelyn, Aiden, Charlotte, and Olivia. Sebastian told you that (it is not the case that (James is a villain or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1194, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]]]], [\"->\", [\"and\", [\"->\", [\"lying\", 6], ...
{"split": "train", "index": 14528}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Oliver, David, Sophia, Avery, Penelope, Henry, Mia, William, and Emily. Oliver noted, \"((David is a devil or William is an angel) or (Sophia is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1195, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]], [\"telling-truth\", 5]...
{"split": "train", "index": 14529}
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, Lucas, Riley, Ethan, Emma, Logan, Lily, Ella, and Mia. Evelyn was heard saying, \"Ethan is a sage\". Lucas told you that Lucas is a sage or ((Logan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1196, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]]]], [\"or\", [\"and\", [\"lyi...
{"split": "train", "index": 14530}
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, Luke, Grace, Emma, Zoey, Amelia, Aria, Samuel, and James. As Victoria put it, \"if (Aria is an egoist if and only if (if Amelia is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1197, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 6], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]]], [\"->\", [\"n...
{"split": "train", "index": 14531}
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: Charlotte, Emma, Liam, Harper, Jackson, Ethan, Abigail, Owen, and Matthew. Charlotte expressed that ((Jackson is a devil and Harper is an angel) or Mat...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1198, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 8]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth...
{"split": "train", "index": 14532}
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: Noah, Ella, Luke, Evelyn, Sebastian, Lucas, Samuel, Amelia, and Sofia. In Noah's words: \"if ((Sebastian is a knight if and only if Lucas is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1199, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]]], ...
{"split": "train", "index": 14533}
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, Isabella, Samuel, Zoey, Benjamin, Aria, Logan, and Grace. Amelia asserted: \"Logan is an egoist if and only if (if (Grace is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1200, \"statements\": [[\"<=>\", [\"lying\", 7], [\"->\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]]]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lyin...
{"split": "train", "index": 14534}
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, Logan, Aria, Avery, Charlotte, Harper, Ava, Isabella, and Michael. Henry was heard saying, \"if (Charlotte is a villain if and only if (Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1201, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"or\", [\"or\", [...
{"split": "train", "index": 14535}
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: Grace, Emily, Riley, Mia, Lily, Ethan, Victoria, Luke, and David. \"(it is not the case that (if Victoria is a devil then Luke is a devil)) and (it is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1202, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 3]], [\"->\", [\"lyi...
{"split": "train", "index": 14536}
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: Aurora, Elizabeth, Harper, Grace, Lucas, Charlotte, Scarlett, Daniel, and Mia. Aurora remarked, \"if (it is not the case that (Grace is a villain and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1203, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"and\", [\"lying\", 7], [\"and\", [\"lying\", 2], [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\...
{"split": "train", "index": 14537}
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: Lucas, Logan, Jack, Mason, Noah, Aurora, Liam, Isabella, and Samuel. According to Lucas, \"Samuel is a knight\". \"(it is not the case that (if Liam ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1204, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"and\", [\"not\", [\"tellin...
{"split": "train", "index": 14538}
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: Mason, Emma, Chloe, Isabella, Sophia, Noah, Grace, Lily, and Ella. Mason stated, \"it is not the case that ((Mason is an angel if and only if Sophia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1205, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\",...
{"split": "train", "index": 14539}
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: William, Grace, Ethan, David, Liam, Noah, Jack, Aurora, and Chloe. William was heard saying, \"((Chloe is a villain or Grace is a villain) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1206, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"->\", [\"lying\", 8], [\"or\", [\"telling-truth\", 7], [\"lying\", 7]]]], [\"->\", [\"<...
{"split": "train", "index": 14540}
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, Luke, Olivia, Isabella, Penelope, Chloe, Scarlett, Emily, and Grace. As Lily put it, \"if ((if Scarlett is a sage then Emily is a fool) or (Olivia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1207, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 4]]]], [\"->\", [\"not\", [\"or\", [\"lying\", 0], [...
{"split": "train", "index": 14541}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mason, Sofia, Noah, Luke, Jack, Jackson, Ethan, Mia, and Riley. \"((Riley is a sage) if and only if (Luke is a fool or Sofia is a fool)) if and only if ((i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1208, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"lying\", 1]]], [\"not\", [\"and\", [\"not\", [\"te...
{"split": "train", "index": 14542}
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: Jack, Zoey, Daniel, Amelia, Sebastian, William, Ella, Evelyn, and Grace. Jack asserted: \"Daniel is an altruist or ((William is an egoist if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1209, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 1...
{"split": "train", "index": 14543}
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, Logan, Lily, Mia, Penelope, Amelia, William, Joseph, and Ava. \"William is a hero,\" Sophia declared. Logan said that ((Penelope is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1210, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"lying\", 2], [\"lying\", 5]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]]]], [\"...
{"split": "train", "index": 14544}
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: Aurora, William, Emma, Mason, Sofia, Zoey, Matthew, Aiden, and Evelyn. \"(it is not the case that (William is an altruist)) and Aiden is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1211, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 1]]], [\"lying\", 7]], [\"or\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"->\", [\"and\", [\"lyin...
{"split": "train", "index": 14545}
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: Charlotte, Ella, Lucas, Owen, Matthew, Sophia, Olivia, Logan, and Joseph. Charlotte stated, \"(if (Joseph is a devil and Ella is a devil) then (Joseph ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1212, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"telling-truth\", 7]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [...
{"split": "train", "index": 14546}
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, Mia, Ella, Abigail, Penelope, Evelyn, Benjamin, Elizabeth, and Riley. \"it is not the case that ((Benjamin is a laggard) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1213, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [...
{"split": "train", "index": 14547}
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: Abigail, Henry, Riley, Sofia, Zoey, Ava, Grace, Lily, and Noah. Abigail told you that Noah is a hero. As Henry put it, \"if ((Henry is a hero if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1214, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"lying\", 6]], [\"or\", [\"<=>\", [\"and\", [\"...
{"split": "train", "index": 14548}
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: Samuel, Sofia, Elizabeth, Olivia, Ella, Noah, Aria, Mia, and Oliver. In Samuel's words: \"Elizabeth is a devil\". In a statement by Sofia: \"if (if (Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1215, \"statements\": [[\"lying\", 2], [\"->\", [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"or\", [\"lying\", 6], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]]], [\"lying\...
{"split": "train", "index": 14549}
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, Oliver, Victoria, Logan, Henry, Penelope, Sofia, Luke, and Grace. Scarlett commented, \"((Penelope is a pioneer and Penelope is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1216, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 4]], [\"and\", [...
{"split": "train", "index": 14550}
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, Jacob, Noah, Emma, Elizabeth, Chloe, Isabella, Sebastian, and Amelia. In a statement by David: \"((if Elizabeth is a devil then Elizabeth is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1217, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 8]]], [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]]], [...
{"split": "train", "index": 14551}
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: Joseph, Lucas, Lily, Zoey, Amelia, Daniel, Sebastian, Mason, and Alexander. \"it is not the case that (if (Sebastian is a villain and Lucas is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1218, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"->\", [\"telling-truth\", 6], [\"not\", [\"not\", [\"lying\", 4]]]], [\"not\", [\"lying\", 3]], [\"te...
{"split": "train", "index": 14552}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aurora, Avery, Aiden, Joseph, Oliver, Chloe, Logan, Victoria, and Mia. As Aurora put it, \"((Joseph is a devil) if and only if (if Aiden is an angel th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1219, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\",...
{"split": "train", "index": 14553}
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, Abigail, Ethan, Daniel, Avery, Grace, Mia, Elizabeth, and Charlotte. Riley was heard saying, \"Charlotte is a sinner\". In Abigail's words: \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1220, \"statements\": [[\"lying\", 8], [\"lying\", 2], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"lying\", 4]]], [\"lying\", 7], ...
{"split": "train", "index": 14554}
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: Chloe, Isabella, Emma, Joseph, Abigail, Sofia, Harper, Samuel, and Noah. In a statement by Chloe: \"Harper is an angel\". As Isabella put it, \"((Abiga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1221, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"ly...
{"split": "train", "index": 14555}
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: Benjamin, Jack, Avery, Aria, Isabella, Grace, Charlotte, Penelope, and Chloe. Benjamin said, \"if (if Avery is a sage then (Penelope is a sage and Aria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1222, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 0], [\"te...
{"split": "train", "index": 14556}
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: Aria, Benjamin, Emily, Penelope, Michael, Luke, Matthew, Riley, and Jacob. Aria told you that Luke is a fool. Benjamin was heard saying, \"Matthew is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1223, \"statements\": [[\"lying\", 5], [\"not\", [\"lying\", 6]], [\"and\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"telling-truth\", 1]], [\"lying\", 6], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 8]], [...
{"split": "train", "index": 14557}
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: Michael, Sofia, Aria, Matthew, Evelyn, Abigail, Joseph, Emily, and Riley. Michael expressed that it is not the case that (if (Emily is a sinner) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1224, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 8], [\"lying\", 7]]]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 7], [\...
{"split": "train", "index": 14558}
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, Jacob, David, Scarlett, Alexander, Lucas, Emma, Sofia, and Penelope. James was heard saying, \"((if Penelope is a sinner then Sofia is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1225, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 5]]]], [\"telling-truth\", 5], [\"telling-truth\", 1], [\"-...
{"split": "train", "index": 14559}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Isabella, Avery, Aria, Mason, Sebastian, Noah, Matthew, Jacob, and Scarlett. Isabella expressed that ((Isabella is an altruist if and only if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1226, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 6]]], [\"lying\", 7]], [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 8], [\"->\", [\"telling-truth\"...
{"split": "train", "index": 14560}
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: Jack, Alexander, Samuel, Scarlett, Aiden, Isabella, Abigail, Zoey, and Evelyn. Jack said, \"Evelyn is an egoist.\" \"it is not the case that ((...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1227, \"statements\": [[\"lying\", 8], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"telling-truth\", 6]]], [\"not\", [\"lying\", 6]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-t...
{"split": "train", "index": 14561}
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, Sophia, Ava, Lily, Mason, Noah, Sofia, Benjamin, and Sebastian. \"it is not the case that ((Sophia is a laggard or Luke is a pioneer) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1228, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 6]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\...
{"split": "train", "index": 14562}
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: Grace, Logan, James, Elizabeth, Benjamin, Ethan, Chloe, Sebastian, and Michael. Grace told you that ((Sebastian is a saint and James is a sinner) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1229, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"lying\", 5]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\"...
{"split": "train", "index": 14563}
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: Luke, Chloe, Aria, Matthew, Grace, Daniel, Abigail, Lily, and Penelope. Luke noted, \"(if Grace is a devil then (if Penelope is a devil then Chloe is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1230, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"->\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]]], [\"lying\", 3], [\"not\...
{"split": "train", "index": 14564}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Chloe, Joseph, Noah, Lucas, Matthew, Oliver, Jacob, Ava, and Henry. As Chloe put it, \"((Joseph is an altruist) or (if Lucas is an egoist then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1231, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"telling-truth\", 7]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"tellin...
{"split": "train", "index": 14565}
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: Owen, Mia, Victoria, Emily, Penelope, Riley, Logan, Evelyn, and Scarlett. \"(if (Scarlett is a villain or Logan is a villain) then (Logan is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1232, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 6],...
{"split": "train", "index": 14566}
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: Liam, Henry, Harper, Noah, Oliver, Emily, Riley, Mia, and Abigail. Liam said that ((Henry is a devil) if and only if (Riley is a devil if and only if E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1233, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"tel...
{"split": "train", "index": 14567}
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, Ella, Victoria, Emily, Scarlett, Evelyn, Benjamin, Luke, and Charlotte. Riley told you that Scarlett is a pioneer. \"Emily is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1234, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"lying\", 8], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-trut...
{"split": "train", "index": 14568}
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: Jackson, Mason, Sophia, Matthew, Elizabeth, Scarlett, James, Mia, and Lily. According to Jackson, \"it is not the case that (if (Lily is a sinner and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1235, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"lying\", 8], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"->\", [\"and\", [...
{"split": "train", "index": 14569}
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, Matthew, Grace, Luke, Noah, Daniel, Owen, Logan, and Mia. \"((Noah is a saint and Owen is a saint) or Daniel is a sinner) and ((Logan is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1236, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"lying\", 5]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [\"lying\", 6]]]], [\"<=>\", [\...
{"split": "train", "index": 14570}
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, James, Penelope, Aurora, Amelia, Lily, Logan, Lucas, and Chloe. As Sebastian put it, \"if ((Sebastian is a devil) or (Lily is a devil if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1237, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 7]]]], [\"...
{"split": "train", "index": 14571}
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, Riley, Luke, Penelope, Zoey, Benjamin, Joseph, Mason, and Michael. In Liam's words: \"((Mason is an egoist) or Zoey is an egoist) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1238, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]]]], [\...
{"split": "train", "index": 14572}
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: Samuel, Charlotte, Benjamin, Liam, Matthew, Emma, Jacob, Michael, and Isabella. \"(Charlotte is an altruist or (Michael is an egoist or Emma is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1239, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"n...
{"split": "train", "index": 14573}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aiden, Isabella, Ethan, Elizabeth, Matthew, Owen, Luke, Ella, and Henry. Aiden commented, \"if (Aiden is a hero and (Owen is a hero and Ella is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1240, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5...
{"split": "train", "index": 14574}
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, Noah, Jackson, Olivia, Zoey, James, Logan, Daniel, and Aria. Sofia commented, \"(it is not the case that (Aria is a villain if and only if Ari...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1241, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"<...
{"split": "train", "index": 14575}
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, Mason, Benjamin, Luke, Sofia, Avery, Aurora, Owen, and Ava. Emma was heard saying, \"if (if (Luke is a sage if and only if Owen is a fool) then (Ava ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1242, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"->\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]]]], [...
{"split": "train", "index": 14576}
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: Luke, Charlotte, Zoey, William, Mason, Penelope, Lily, Amelia, and Lucas. As Luke put it, \"if ((Lily is a knight and Amelia is a knave) and (Lucas i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1243, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"lying\", 5]]], [\"not\", [\"not\", [\"lying\", 5]]]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"not\", [\"te...
{"split": "train", "index": 14577}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Charlotte, Benjamin, Sofia, Aria, Lucas, Liam, Sophia, Michael, and Aiden. Charlotte expressed that if Benjamin is a sage then ((Sofia is a sage) and (Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1244, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 7]], [\"<=>\", [\"lying\"...
{"split": "train", "index": 14578}
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: Zoey, Mia, Joseph, Ava, Harper, Scarlett, Jacob, Penelope, and Michael. Zoey commented, \"Ava is a sinner or ((Ava is a sinner and Penelope is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1245, \"statements\": [[\"or\", [\"lying\", 3], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"or\", [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\"...
{"split": "train", "index": 14579}
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: Liam, Michael, Aiden, Sebastian, Avery, Benjamin, Isabella, Charlotte, and Alexander. Liam said, \"it is not the case that (Aiden is a knight).\" \"L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1246, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"lying\", 0]], [\"not\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]], [\"not\", [\"lying\", 5]]]], [\"<=>\", [\"telling-truth\", 5], [\"or\...
{"split": "train", "index": 14580}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sebastian, Mia, Michael, James, Oliver, Jacob, Chloe, Lucas, and Elizabeth. Sebastian commented, \"it is not the case that (Jacob is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1247, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\",...
{"split": "train", "index": 14581}
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: Matthew, Jackson, Aurora, Luke, Alexander, Amelia, James, Chloe, and Logan. Matthew commented, \"((if Logan is a sage then Logan is a fool) or Luke is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1248, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"lying\", 3]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"<=>\", [\"te...
{"split": "train", "index": 14582}
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: Matthew, Grace, Charlotte, Evelyn, Emma, Jack, Henry, Mason, and Lucas. Matthew stated, \"(it is not the case that (Charlotte is a saint)) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1249, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 6]], [\"not\", [\"lying\", 5]...
{"split": "train", "index": 14583}
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, Lily, Logan, Luke, Noah, Amelia, James, Avery, and Jackson. \"if James is an angel then Jackson is a devil,\" Alexander mentioned. \"Noah is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1250, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 4]], [\"lying\", 3]]...
{"split": "train", "index": 14584}
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: Penelope, Henry, Sophia, Avery, Daniel, Emma, Logan, Luke, and Samuel. Penelope stated, \"((if Emma is a fool then Sophia is a sage) and (if Henry is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1251, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"t...
{"split": "train", "index": 14585}
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, Alexander, Lily, Ethan, Riley, Evelyn, Emily, Aria, and David. Jack stated, \"Riley is a knight\". \"Ethan is a knight,\" Alexander claimed. \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1252, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"->\"...
{"split": "train", "index": 14586}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, Scarlett, Grace, James, Emily, Henry, Michael, Riley, and Harper. In Olivia's words: \"(Emily is an altruist) and (it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1253, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"not\", [\"telling-truth\", 8]]]], [\"telling-truth\", 0], [\"not\", [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 7]]]], [\"->\", [\"telling-truth\", 2]...
{"split": "train", "index": 14587}
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, Noah, Scarlett, Isabella, Ava, Mia, Sophia, Avery, and David. Aiden noted, \"(Avery is a knight) or ((David is a knave if and only if Scarlett...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1254, \"statements\": [[\"or\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 8], [\"lying\", 6]]]], [\"and\", [\"lying\", 8], [\"or\", [\"->\", [\"lying\"...
{"split": "train", "index": 14588}
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, Zoey, Sebastian, James, Sophia, Isabella, Mia, Liam, and David. In a statement by Michael: \"((Mia is a hero if and only if Liam is a hero) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1255, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"->\", [\"lying\", 1], [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]]], [\"->\", ...
{"split": "train", "index": 14589}
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, Grace, Ava, Aiden, Emily, Aurora, Matthew, Michael, and Sofia. \"Emily is an angel,\" Alexander claimed. Grace commented, \"(if (Ava is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1256, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 6]]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 5]]]...
{"split": "train", "index": 14590}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Matthew, Michael, Jack, Lucas, Ethan, William, Lily, Aiden, and Chloe. As Matthew put it, \"if ((Ethan is an altruist) if and only if Ethan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1257, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"or\", [\"lying\", 8], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]]]], [\"lying\", 5], [\"or\", [\"not\", [\"lying\", ...
{"split": "train", "index": 14591}
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, Olivia, Sophia, Oliver, Emma, Luke, Chloe, Sofia, and Harper. Riley expressed that Sophia is a knight. As Olivia put it, \"Oliver is a knave\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1258, \"statements\": [[\"not\", [\"lying\", 2]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5...
{"split": "train", "index": 14592}
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, Penelope, Evelyn, Amelia, Charlotte, William, Chloe, Joseph, and Scarlett. Emma noted, \"(Chloe is a fool) and (it is not the case that (if Joseph is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1259, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]]]], [\"lying\", 0], [\"telling-truth\", 2], [\"->\", [\"not\", [\"and\", [\"telling-truth\",...
{"split": "train", "index": 14593}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Oliver, Jackson, Zoey, Amelia, Victoria, Scarlett, Riley, Jacob, and William. Oliver remarked, \"Amelia is an angel\". In a statement by Jackson: \"Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1260, \"statements\": [[\"telling-truth\", 3], [\"lying\", 2], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]]], [\"and\", [\"and\",...
{"split": "train", "index": 14594}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Daniel, Owen, Liam, Aria, Logan, Michael, Ethan, and Matthew. \"Matthew is a sinner or (if Daniel is a saint then (Logan is a sinner if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1261, \"statements\": [[\"or\", [\"lying\", 8], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 5], [\"lying\", 1]]]], [\"or\", [\"lying\", 7], [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"telling-tru...
{"split": "train", "index": 14595}
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: Chloe, David, Charlotte, Henry, Aurora, Luke, William, Mia, and Joseph. According to Chloe, \"(it is not the case that (David is a sinner if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1262, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 5]]]], [\"telling-truth\", 3], [\"and\", [\"and\", [\"not\", [\"...
{"split": "train", "index": 14596}
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: Aiden, Emily, Daniel, Ava, Emma, Joseph, Mason, Ella, and Samuel. According to Aiden, \"if ((Ava is an altruist or Samuel is an egoist) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1263, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8]], [\"telling-truth\", 0]], [\"telling-truth\", 6]], [\"not\", [\"lying\", 7]], [\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"telling-t...
{"split": "train", "index": 14597}
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: Charlotte, Mia, Scarlett, Zoey, Jackson, Harper, Victoria, Lily, and Logan. Charlotte stated, \"if (it is not the case that (Mia is a sinner or Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1264, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"telling-truth\", ...
{"split": "train", "index": 14598}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Elizabeth, Lucas, Olivia, Grace, Samuel, Zoey, Benjamin, Evelyn, and Ethan. As Elizabeth put it, \"(it is not the case that (Lucas is a hero or Ethan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1265, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 6]], [...
{"split": "train", "index": 14599}