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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, Sophia, Sofia, Benjamin, David, Charlotte, Alexander, Matthew, and Grace. Logan stated, \"Benjamin is a pioneer\". Sophia commented, \"A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 6], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"telling-truth\", 5]], [\"->\", [\"and\", [\"not\...
{"split": "train", "index": 14200}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Olivia, Aiden, Lucas, Emily, Isabella, Amelia, Sophia, Charlotte, and Grace. Olivia said that Lucas is a knight if and only if ((Aiden is a knight an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 6]...
{"split": "train", "index": 14201}
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: Harper, Matthew, Amelia, Emily, Oliver, Benjamin, Ethan, Logan, and Lily. Harper expressed that (if Lily is a sage then (Benjamin is a fool and Amelia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"and\", [\"lying\", 5], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 3], [\"lying\", 7]]]], [\"or\", [\"o...
{"split": "train", "index": 14202}
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, Evelyn, Riley, Mia, Harper, Avery, Ava, Scarlett, and Emily. Grace expressed that ((if Harper is a villain then Avery is a hero) and (Emily is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"and\", [\"lying\", 8], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 1]]], [\"telling-...
{"split": "train", "index": 14203}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Henry, Harper, Ethan, Emily, Charlotte, Matthew, Aurora, and Grace. Riley said that Ethan is an angel if and only if ((Charlotte is a devil and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]]]], [\"lying\", 7], [\"not\", [\"or\", [\"or\", [\"lying\", 1...
{"split": "train", "index": 14204}
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: James, Elizabeth, Aurora, Noah, Ethan, Michael, Oliver, Liam, and Abigail. As James put it, \"it is not the case that ((Oliver is a devil if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 8]]], [\"telling-truth\", 2], [\"->\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"<=>\",...
{"split": "train", "index": 14205}
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: Noah, Elizabeth, Chloe, Samuel, Michael, Scarlett, Benjamin, Alexander, and Harper. \"(it is not the case that (Samuel is a villain and Noah is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 8]], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 6]], [\"not\", [\"lying\", 1]], [...
{"split": "train", "index": 14206}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ethan, Michael, Charlotte, Henry, Emma, Scarlett, Ava, Samuel, and Lucas. \"(Charlotte is a fool and (Henry is a fool and Ava is a fool)) or (it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]]], [\"telling-truth\", 5], [\"->\", [\"or\", [\"<=>\", [\...
{"split": "train", "index": 14207}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emma, Riley, Elizabeth, Emily, Sophia, Joseph, Sebastian, Owen, and Benjamin. Emma said, \"(Riley is a knight) or (it is not the case that (if Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]]]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 5]]]], [\"or\", [\"no...
{"split": "train", "index": 14208}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Harper, Emily, Grace, Sophia, David, Avery, Owen, and Joseph. Victoria said that ((Joseph is a sage or Sophia is a sage) or Harper is a sage) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]]...
{"split": "train", "index": 14209}
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, Isabella, Harper, Chloe, Samuel, Jacob, Oliver, Noah, and Charlotte. Penelope commented, \"if ((Chloe is a knight and Samuel is a knight) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 8], [\"lyi...
{"split": "train", "index": 14210}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Samuel, Grace, Benjamin, Zoey, Emma, Oliver, Victoria, and Owen. Luke was heard saying, \"if (Grace is a villain and Benjamin is a hero) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\",...
{"split": "train", "index": 14211}
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, Isabella, Mason, Evelyn, Alexander, Riley, Grace, Michael, and Ava. \"it is not the case that ((Ava is a knave if and only if Isabella is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 8]]]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"and\", [\"not\", [\"lying\", 6]], [\"->\", [\"and\...
{"split": "train", "index": 14212}
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, Elizabeth, Oliver, Luke, David, Aria, Mia, Aurora, and Penelope. Benjamin remarked, \"(it is not the case that (David is a sage and Aria is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7]]]], [\"not\", [\"not\",...
{"split": "train", "index": 14213}
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: Sebastian, Jacob, Penelope, Amelia, Henry, Joseph, Emma, Daniel, and Samuel. As Sebastian put it, \"(Joseph is an egoist if and only if (if Ame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"->\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"lying\", 2]], [\"telling-truth\", 6], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 6]]]], [\"a...
{"split": "train", "index": 14214}
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: Henry, Emma, Abigail, Sebastian, Sofia, Emily, Alexander, Luke, and Ethan. Henry was heard saying, \"if (Luke is a knight if and only if Henry is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"telling-truth\", 6]], [\"not\", [\"and\", [\"te...
{"split": "train", "index": 14215}
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: Isabella, Grace, Amelia, Joseph, Sofia, Benjamin, David, Logan, and Lily. \"(Benjamin is a saint or (Benjamin is a saint if and only if Sofia is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"tell...
{"split": "train", "index": 14216}
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, Michael, Isabella, Jack, Noah, William, David, Chloe, and Aurora. Riley was heard saying, \"it is not the case that (if (David is a sinner) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"not\", [\"telling...
{"split": "train", "index": 14217}
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, Michael, Avery, Daniel, Oliver, Abigail, Emily, Luke, and Ava. Aiden said, \"it is not the case that ((if Luke is an egoist then Oliver ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"lying\", 5]]]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 7...
{"split": "train", "index": 14218}
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: Noah, Mason, Ella, Amelia, Aurora, Evelyn, William, Jacob, and Grace. Noah asserted: \"(if (Ella is a saint or Amelia is a saint) then (Grace is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"<=>\"...
{"split": "train", "index": 14219}
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, Henry, Jack, Joseph, Aurora, Elizabeth, Penelope, Lily, and Grace. Avery commented, \"if (it is not the case that (Avery is an egoist)) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 8], [\"not\", [\"lying\", 2]]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"lying\", 8]], [\"not\", [\"lying\", 0]]...
{"split": "train", "index": 14220}
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, Amelia, Aria, Evelyn, Daniel, Mia, Matthew, Avery, and Benjamin. Sophia noted, \"(it is not the case that (if Sophia is a hero then Mia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 4]], [\"lying\", 7]]], [\"->\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-...
{"split": "train", "index": 14221}
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, Logan, Sebastian, Penelope, Joseph, Benjamin, Samuel, Mason, and Daniel. \"(Daniel is an altruist or (Benjamin is an egoist if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 6], [\"lying\", 1]]]], [\"telling-t...
{"split": "train", "index": 14222}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Aiden, Noah, Sofia, Emma, Emily, Ethan, Liam, and Samuel. Riley stated, \"if ((Riley is an altruist if and only if Samuel is an egoist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth...
{"split": "train", "index": 14223}
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, Ethan, Emily, Logan, Michael, Mason, Benjamin, Charlotte, and Ella. Aiden said, \"if ((Emily is a knave and Michael is a knight) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"-...
{"split": "train", "index": 14224}
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: Emily, Jack, Logan, Aria, Mason, Charlotte, Elizabeth, Mia, and Luke. \"((Logan is a sage or Jack is a fool) if and only if (Elizabeth is a sage)) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 6]]], [\"or\", [\"lying\", 5], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"->\", [\"not\", [\"and\", ...
{"split": "train", "index": 14225}
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, Noah, Daniel, Charlotte, Victoria, Liam, Joseph, Chloe, and Scarlett. In Alexander's words: \"(it is not the case that (Victoria is a devil)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"->\", [\"lying\", 4...
{"split": "train", "index": 14226}
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, Avery, Samuel, Elizabeth, Daniel, Henry, Noah, Abigail, and Mia. \"(it is not the case that (Abigail is a saint or Samuel is a sinner)) and (Av...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"or\", [\"or\...
{"split": "train", "index": 14227}
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, Aiden, Abigail, Mia, Harper, Elizabeth, Michael, Matthew, and Avery. According to Lucas, \"if ((Abigail is a sinner or Elizabeth is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"not\", [\"telling-tr...
{"split": "train", "index": 14228}
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, Riley, Noah, Aria, Lily, Joseph, Zoey, Aurora, and Grace. Mia said, \"Riley is a knight.\" In Riley's words: \"Zoey is a knave or (it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 6], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 7]]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 4], [\"lying\", 7...
{"split": "train", "index": 14229}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Daniel, James, Michael, Scarlett, Samuel, Olivia, Alexander, and Penelope. \"Samuel is a saint,\" Emma declared. \"((Penelope is a sinner if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"and\", [\"or\", [...
{"split": "train", "index": 14230}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Luke, Noah, Chloe, David, Harper, Benjamin, Jacob, Jackson, and Emma. Luke remarked, \"((Noah is a fool and David is a fool) and Jackson is a fool) and ((B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"lying\", 7]], [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"->\", [\"or\", [...
{"split": "train", "index": 14231}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, Riley, Amelia, Olivia, Noah, Daniel, Henry, Victoria, and Samuel. Emily stated, \"Olivia is a knight\". In a statement by Riley: \"Daniel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"not\", [\"lying\", 3]], [\"telling-truth\", 5], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"ly...
{"split": "train", "index": 14232}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Isabella, Charlotte, Riley, Henry, Jackson, Victoria, Benjamin, Aurora, and Jacob. According to Isabella, \"it is not the case that ((Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]]]], [\"->\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 2], [\"->\", [\"t...
{"split": "train", "index": 14233}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, David, Amelia, James, Matthew, Aiden, Lily, Sophia, and Joseph. Emma stated, \"(if (Sophia is a sinner if and only if Joseph is a sinner) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"lying\", 1]]], [\"lying\", 5]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"l...
{"split": "train", "index": 14234}
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: Emma, Mason, Grace, Avery, Sofia, Harper, Victoria, Emily, and Noah. In Emma's words: \"((Victoria is a pioneer or Grace is a pioneer) and (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"->\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 8]]...
{"split": "train", "index": 14235}
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, Zoey, Ella, Benjamin, Riley, Ethan, Noah, Michael, and Alexander. \"((Ethan is a saint if and only if Noah is a saint) or Riley is a saint) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"telling-truth\", 4]], [\"lying\", 2]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 8]], [\"<=>\", [\"telling-tr...
{"split": "train", "index": 14236}
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, Aurora, Ava, Riley, Zoey, Lily, Mason, Ella, and Emma. Logan remarked, \"if Ella is a sinner then ((Zoey is a saint if and only if Mason is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"->\", [\"lying\", 7], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]], [\"<=>\", [\"t...
{"split": "train", "index": 14237}
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, Alexander, Isabella, Charlotte, Lucas, Lily, Jacob, James, and Penelope. Evelyn stated, \"if ((Charlotte is an angel if and only if Alexander i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 3]], [\"telling-truth\", 8]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"lying\", 3]], [\"->\"...
{"split": "train", "index": 14238}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aria, Noah, Ava, Liam, Jack, Amelia, Michael, Benjamin, and Owen. Aria remarked, \"it is not the case that (if (Amelia is a laggard if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"lying\", 6]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 7]], [\"lying\"...
{"split": "train", "index": 14239}
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: Victoria, Elizabeth, Grace, Ava, Noah, Ethan, Joseph, Chloe, and Mia. Victoria noted, \"(it is not the case that (Grace is a sinner or Noah is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"lying\", 6], [\"and\", [\"lying\", 0], [\...
{"split": "train", "index": 14240}
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, David, Aurora, Jack, Logan, Olivia, Ethan, Scarlett, and Amelia. \"David is an altruist or ((Scarlett is an egoist) or Amelia is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-t...
{"split": "train", "index": 14241}
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, Harper, Sofia, Michael, Ethan, Scarlett, Owen, Noah, and Aiden. Elizabeth remarked, \"Aiden is a sage\". \"((Elizabeth is a fool) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 5], [\"telling-t...
{"split": "train", "index": 14242}
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, Oliver, Abigail, Liam, Aiden, Aurora, Elizabeth, Scarlett, and Sofia. Grace expressed that if (if (Abigail is a devil or Aurora is an angel) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 0]], [\"and\", [\"<=>\", [\"and\", [\"lying\", 4], [\"ly...
{"split": "train", "index": 14243}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emma, Abigail, Michael, Noah, Chloe, Harper, Evelyn, Matthew, and Victoria. Emma said that ((if Matthew is a knave then Michael is a knight) and Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 7]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]]], [\"->\...
{"split": "train", "index": 14244}
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: Amelia, Liam, William, Benjamin, Mason, Luke, Aria, Alexander, and Aiden. Amelia expressed that if Liam is a laggard then (it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]]]], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 7]]]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\"...
{"split": "train", "index": 14245}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Henry, Liam, Olivia, Logan, Daniel, Samuel, Elizabeth, David, and Alexander. Henry noted, \"(it is not the case that (Alexander is an altruist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-t...
{"split": "train", "index": 14246}
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: Zoey, Avery, Liam, Owen, Logan, Ava, Chloe, Sofia, and Mason. Zoey remarked, \"((if Ava is a devil then Logan is a devil) if and only if Mason is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"lying\", 8]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 0], [\"lying\", 5]]]], [\"->\"...
{"split": "train", "index": 14247}
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, Jacob, Victoria, Chloe, Isabella, Logan, Michael, Liam, and Samuel. Lily expressed that (Chloe is a knight) and (it is not the case that (if Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2]], [\"telling-truth\", 7]]], [\"<=>\",...
{"split": "train", "index": 14248}
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, Samuel, Liam, William, Harper, Joseph, Logan, Noah, and Elizabeth. As Sebastian put it, \"if Elizabeth is a villain then William is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"not\", [\"not\", [\"lying\", 0]]]], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 8], [\...
{"split": "train", "index": 14249}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, Aria, David, Sebastian, Oliver, Aurora, Lily, Emily, and Emma. Michael asserted: \"(Emily is a knave or (if Lily is a knave then David is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"and\", [\"or\", [\"lying\", 7], [\"->\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"te...
{"split": "train", "index": 14250}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aiden, Jackson, Charlotte, Joseph, Matthew, Jacob, Samuel, Chloe, and Alexander. Aiden commented, \"Jackson is a saint or Matthew is a saint\". Jacks...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-tru...
{"split": "train", "index": 14251}
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, Alexander, Victoria, Harper, Matthew, Henry, Logan, Scarlett, and Lucas. Mason was heard saying, \"(Mason is a laggard) or (if (Victoria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 6]], [\"lying\", 4]]], [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 3], [\"or\", [\"and\", [\"telling-tru...
{"split": "train", "index": 14252}
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: Aiden, Joseph, Jacob, Jackson, Scarlett, Samuel, Amelia, Ella, and Matthew. As Aiden put it, \"if (if Matthew is a pioneer then (Amelia is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 8], [\"or\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]]]], [\"->\", [\"or...
{"split": "train", "index": 14253}
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: Ethan, Isabella, Jackson, David, Sophia, Joseph, Logan, William, and Aiden. Ethan told you that it is not the case that ((Ethan is an altruist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"and\", [...
{"split": "train", "index": 14254}
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: Jackson, Lily, Penelope, Michael, Ava, Owen, Amelia, Emily, and Henry. Jackson said that (it is not the case that (Michael is an angel and Owen is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 7],...
{"split": "train", "index": 14255}
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: Zoey, Riley, Alexander, Scarlett, Samuel, Emily, Lily, Abigail, and Luke. Zoey remarked, \"((Emily is a knight) if and only if (Abigail is a knight a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"->\", [\"telling-truth\", 2], [...
{"split": "train", "index": 14256}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Liam, Ava, Emma, James, Jacob, Aurora, Sophia, William, and Amelia. In Liam's words: \"Ava is a hero\". Ava said that (it is not the case that (if Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [...
{"split": "train", "index": 14257}
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, Henry, Jacob, Olivia, Lucas, Ella, Samuel, Mia, and Victoria. Joseph remarked, \"((Mia is a laggard) and (Samuel is a laggard if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"lying\", 4]], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"not\"...
{"split": "train", "index": 14258}
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: Sebastian, Ethan, William, Noah, Owen, Mia, Lily, Riley, and Benjamin. Sebastian said that Riley is an altruist or (it is not the case that (Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"not\",...
{"split": "train", "index": 14259}
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: Sofia, Liam, Chloe, Victoria, Aurora, Ethan, Riley, Isabella, and Benjamin. Sofia asserted: \"if (Benjamin is a sage) then ((Ethan is a fool or Aurora is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"->\", [\"not\", [\"lying\", 8]], [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"lying\", 1]]], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"telling-truth\", ...
{"split": "train", "index": 14260}
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: Ava, Alexander, Ella, Penelope, Benjamin, Harper, Logan, Aurora, and Sebastian. Ava said, \"Benjamin is an altruist and ((if Penelope is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]]]], [\"<=>\", [\"lying\", 3], [\"or\", [\"->\", [\"te...
{"split": "train", "index": 14261}
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: James, Aiden, Victoria, Zoey, Chloe, Ella, Amelia, Mason, and Olivia. As James put it, \"Olivia is a villain\". Aiden asserted: \"((Victoria is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"lying\", 8], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"...
{"split": "train", "index": 14262}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aria, Sofia, Grace, Noah, Scarlett, Sophia, Jackson, Chloe, and Aiden. Aria was heard saying, \"Chloe is a laggard\". \"(it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"lying\", 7], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]]], [\"or\", [\"->...
{"split": "train", "index": 14263}
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, Sofia, Alexander, Henry, Aiden, Amelia, Ava, Liam, and Harper. James was heard saying, \"Alexander is a knave and ((Aiden is a knight) or (Ale...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"telling-truth\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-tr...
{"split": "train", "index": 14264}
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: Scarlett, Aurora, Elizabeth, Liam, Emily, Luke, Grace, Oliver, and Amelia. Scarlett said, \"(Aurora is an altruist and (if Oliver is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"lying\", 4]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8]], [\"<=>\", [\"telling-trut...
{"split": "train", "index": 14265}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, Aria, Sebastian, Sophia, Samuel, Avery, Aiden, Michael, and Emma. Emily expressed that it is not the case that (if (if Sophia is a knave then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"lying\", 8]], [\"telling-tr...
{"split": "train", "index": 14266}
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, Ethan, Jack, Lily, Ella, Emma, Avery, Aiden, and Michael. According to Alexander, \"Ethan is an egoist\". \"if ((Avery is an egoist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 1]], [\"telling-tr...
{"split": "train", "index": 14267}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sofia, Noah, Riley, Ella, Luke, Abigail, Oliver, Sophia, and Evelyn. According to Sofia, \"(if (Noah is a laggard) then (Evelyn is a pioneer)) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 8]]], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]]]], ...
{"split": "train", "index": 14268}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Mia, Ethan, Aiden, Joseph, Lily, Aurora, Logan, and Evelyn. According to Luke, \"(if (Lily is a hero or Aurora is a villain) then (Aurora is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"telling-truth\", 2]], [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"and\", [\...
{"split": "train", "index": 14269}
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, Elizabeth, Benjamin, Henry, Lucas, Jackson, Liam, and Sophia. Ava told you that (it is not the case that (Elizabeth is a knight and Be...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]]]], [\"and\", [\"and\", [\"and\", [\"telling-tru...
{"split": "train", "index": 14270}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Olivia, Michael, Alexander, Henry, Benjamin, Chloe, Samuel, Mia, and Emma. \"it is not the case that ((if Benjamin is a hero then Henry is a hero) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 6]]]], [\"and\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 8], [\"and\", [...
{"split": "train", "index": 14271}
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: Ethan, Riley, Ava, Lucas, David, Emily, Alexander, Aiden, and Samuel. Ethan told you that it is not the case that ((Ava is a knight or Alexander is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"lying\", 6], [\"->\", [\"telling-truth\", 6], [\"tel...
{"split": "train", "index": 14272}
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, Liam, Lucas, Mia, Logan, Emma, Zoey, Jack, and Aria. Harper said, \"Jack is a saint.\" Liam was heard saying, \"((Jack is a sinner and Liam i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]]...
{"split": "train", "index": 14273}
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, Elizabeth, Aiden, Isabella, Noah, Aria, David, Joseph, and Sebastian. Harper remarked, \"if (if (if David is a pioneer then Noah is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]]]], [\"lying\", 8], [...
{"split": "train", "index": 14274}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Elizabeth, Sophia, Luke, Michael, Ethan, William, Amelia, Olivia, and Jackson. \"((Michael is a laggard) if and only if (Olivia is a pioneer if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"n...
{"split": "train", "index": 14275}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Harper, Charlotte, Ava, Samuel, Alexander, Aria, Emma, and Aurora. \"if ((if Harper is an angel then Charlotte is an angel) and (Emma is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"tel...
{"split": "train", "index": 14276}
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, Chloe, Ava, Logan, Lily, Joseph, Zoey, Penelope, and Noah. As Daniel put it, \"((Lily is a laggard and Noah is a pioneer) and (if Noah ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"...
{"split": "train", "index": 14277}
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: Owen, Isabella, Sophia, Grace, Oliver, Lucas, Daniel, Abigail, and Amelia. \"Daniel is a knave,\" Owen claimed. Isabella stated, \"it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"lying\", 6], [\"not\", [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 8]], [\"not\", [\"telling-truth\", 8]]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"telling-tru...
{"split": "train", "index": 14278}
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, Zoey, Owen, William, Victoria, Sophia, Alexander, Amelia, and Mia. As Riley put it, \"Mia is a pioneer or (it is not the case that (if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 3]]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lyi...
{"split": "train", "index": 14279}
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, Noah, William, James, Alexander, Matthew, Sofia, Oliver, and Evelyn. According to Lucas, \"Matthew is a saint\". Noah commented, \"it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"not\", [\"lying\", 5]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"not\", [\"lying\", 8]]], [\"<...
{"split": "train", "index": 14280}
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: Isabella, Noah, Victoria, Liam, Joseph, Charlotte, Logan, Harper, and Owen. \"it is not the case that (if (Harper is a sage if and only if Victoria is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"->\", [\"lying\", 3], [\"lyi...
{"split": "train", "index": 14281}
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: Aria, Daniel, Zoey, Mason, Scarlett, Charlotte, Ava, Liam, and Emily. As Aria put it, \"if ((Charlotte is an egoist) if and only if (if Daniel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 8]]]], [\"or\", [\"->\", [\"->\", [\"tell...
{"split": "train", "index": 14282}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, Evelyn, Aria, Riley, Lily, Aurora, Michael, Charlotte, and Emma. Noah said that it is not the case that ((Emma is an egoist) and (if Lily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\"...
{"split": "train", "index": 14283}
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, Benjamin, Joseph, Zoey, Penelope, Emma, Grace, Mia, and Mason. In a statement by Charlotte: \"it is not the case that ((Mia is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\...
{"split": "train", "index": 14284}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Isabella, Sophia, Harper, Charlotte, Joseph, Elizabeth, Mia, Alexander, and Owen. Isabella commented, \"(if Charlotte is a pioneer then (Mia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]]]], [\...
{"split": "train", "index": 14285}
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, Emily, Olivia, James, Lily, William, Emma, Scarlett, and Matthew. \"if (if (Lily is an angel or William is a devil) then (Matthew is a devil and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lyi...
{"split": "train", "index": 14286}
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, Alexander, Logan, Riley, Aria, Ella, Mason, Oliver, and David. \"if (if David is a knave then (Oliver is a knave)) then (it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"->\", [\"->\", [\"lying\", 8], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 5]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [...
{"split": "train", "index": 14287}
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, Amelia, Samuel, Grace, Liam, Alexander, Lucas, Michael, and Evelyn. As William put it, \"(it is not the case that (if Evelyn is a knight the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 2]], [\"lying\", 6]], [\"->\", [...
{"split": "train", "index": 14288}
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: Emma, Penelope, Scarlett, Mia, Aurora, Owen, Luke, Ava, and Lucas. Emma was heard saying, \"it is not the case that ((Luke is an egoist and Aur...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"lying\", 8]]]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"telling-truth\", 1], [\"->\", [\"lying\", 5], [\"or...
{"split": "train", "index": 14289}
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, Riley, Aurora, Luke, Mason, Aiden, Noah, Benjamin, and Amelia. In Zoey's words: \"(it is not the case that (Benjamin is a saint and Amelia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]...
{"split": "train", "index": 14290}
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, Samuel, Emily, Ella, Penelope, Sophia, Grace, and Jack. In a statement by Mia: \"(if (Emily is a knight) then (if Ella is a knave then Pe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"...
{"split": "train", "index": 14291}
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: Lucas, Henry, Jackson, Zoey, Mason, Samuel, Ava, Luke, and Oliver. Lucas commented, \"Oliver is an angel\". Henry noted, \"(if (Luke is a devil) then A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"lying\", 6]], [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]...
{"split": "train", "index": 14292}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sophia, Ethan, William, Aiden, Scarlett, Zoey, Aurora, Lily, and Samuel. Sophia said that if (Ethan is a knave or (Aiden is a knave)) then (it is not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]]]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\",...
{"split": "train", "index": 14293}
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, Logan, Noah, Chloe, David, Jacob, Joseph, Aria, and Emily. \"if ((if Jacob is a hero then Aria is a hero) if and only if (Aria is a hero or Jose...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 5], [\"tell...
{"split": "train", "index": 14294}
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: Lucas, Michael, William, Aurora, Ethan, Alexander, Ava, Emma, and Elizabeth. Lucas stated, \"it is not the case that (it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"->\", [\"lying\", 4], [...
{"split": "train", "index": 14295}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Henry, Amelia, Abigail, Noah, Daniel, Ella, Benjamin, Lucas, and Avery. Henry asserted: \"if (it is not the case that (Lucas is an egoist or Am...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"and\", [\"lying\", 5], [\"lying\",...
{"split": "train", "index": 14296}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Scarlett, Aiden, Isabella, Harper, Henry, Sophia, Amelia, Emma, and Grace. Scarlett commented, \"it is not the case that (if (Emma is a knave) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling...
{"split": "train", "index": 14297}
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: Alexander, Daniel, Jack, Scarlett, Avery, David, Joseph, Emily, and Sebastian. According to Alexander, \"(if (Avery is a knight or Avery is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"telling-tru...
{"split": "train", "index": 14298}
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, Avery, Sofia, Abigail, Mia, Henry, Sophia, Charlotte, and Joseph. Emily said that (Henry is an angel) or ((Abigail is an angel if and only if He...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"or\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\",...
{"split": "train", "index": 14299}