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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: Lucas, Matthew, James, Owen, Oliver, Charlotte, Michael, Amelia, and Noah. Lucas noted, \"(if James is a villain then Owen is a villain) and (Matthew...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"not\...
{"split": "train", "index": 10200}
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: James, Jackson, Benjamin, Ava, Abigail, Michael, Sophia, Grace, and Owen. James remarked, \"Abigail is a pioneer\". Jackson commented, \"Jackso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth\", 7], [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\...
{"split": "train", "index": 10201}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sophia, Amelia, Emma, Abigail, Harper, Ethan, Daniel, Avery, and Mason. In Sophia's words: \"(Daniel is a devil if and only if Mason is a devil) and (A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"and\", [\"and\", [\"telli...
{"split": "train", "index": 10202}
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: Isabella, Mason, Victoria, Benjamin, Samuel, James, Penelope, Luke, and Harper. Isabella asserted: \"it is not the case that (Penelope is a devil and B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"not\", [\"lying\", 6]]], [\"->\", [\"telling-...
{"split": "train", "index": 10203}
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, Michael, William, Emily, Mason, Noah, Daniel, Luke, and James. Logan noted, \"Michael is an altruist\". According to Michael, \"it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"lying\", 0], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\",...
{"split": "train", "index": 10204}
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: David, Jacob, Charlotte, Owen, Ava, Jack, Joseph, Elizabeth, and Mason. David said that Jack is a sinner. Jacob noted, \"(Jack is a sinner if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"lying\", 5], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [...
{"split": "train", "index": 10205}
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, Mason, Victoria, Riley, Daniel, Amelia, Ethan, Sebastian, and Mia. According to Scarlett, \"if (Ethan is a pioneer or Amelia is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 7], [\"lying\", 7], [\"telling-truth\", 6]]], [\"lying\", 6], [\"not\", [\"lying\", 8]], [\"<=>\", [\"and\"...
{"split": "train", "index": 10206}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Charlotte, William, Joseph, Matthew, Logan, Michael, Harper, and David. \"Matthew is a sinner\" - Daniel. Charlotte told you that if (Daniel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"lying\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\...
{"split": "train", "index": 10207}
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, Lily, Liam, Samuel, Matthew, Oliver, Victoria, Sofia, and Charlotte. Grace said, \"(if Charlotte is a saint then Samuel is a saint) or (Victor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"and\", [\"tel...
{"split": "train", "index": 10208}
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, James, Mason, Alexander, Sophia, William, Joseph, Isabella, and Jackson. Lily was heard saying, \"it is not the case that (Mason is a sinner an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", ...
{"split": "train", "index": 10209}
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, Daniel, Avery, Lucas, Mia, Henry, Mason, Sophia, and Samuel. \"if Sophia is an egoist then (Avery is an altruist),\" Jack claimed. Daniel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"->\", [\"lying\", 7], [\"not\", [\"lying\", 2]]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 5], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]], [\"and\", [\"telling-tru...
{"split": "train", "index": 10210}
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, Daniel, Victoria, Liam, Evelyn, Alexander, James, Oliver, and Sophia. Joseph remarked, \"if (James is a hero if and only if Liam is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"<=>\", [\"lying\", 8], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], ...
{"split": "train", "index": 10211}
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, Abigail, Jack, Mia, Oliver, Charlotte, Isabella, Olivia, and Victoria. Sofia said that Jack is a villain or Sofia is a hero or (Sofia is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1322, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"not\", [\"lying\", 1]], [\"<=>\", [\"l...
{"split": "train", "index": 10212}
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: Abigail, Charlotte, Logan, Aurora, Ava, Ella, David, Olivia, and Riley. In a statement by Abigail: \"if (Ava is an egoist if and only if Charlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1323, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 7], [\"lying\", 8]]], [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 0], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"...
{"split": "train", "index": 10213}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jack, Emma, Zoey, Luke, Emily, Ava, Evelyn, Grace, and Owen. \"it is not the case that (Emily is a villain or Ava is a hero or Grace is a hero),\" Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1324, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 1]]...
{"split": "train", "index": 10214}
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, Aiden, Matthew, Amelia, Sofia, Henry, Alexander, Olivia, and Avery. Samuel stated, \"Olivia is an egoist and (if Alexander is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1325, \"statements\": [[\"and\", [\"lying\", 7], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 5]]], [\"not\", [\"and\", [\"te...
{"split": "train", "index": 10215}
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: Emma, Jack, Sophia, Samuel, Victoria, Elizabeth, Riley, Amelia, and David. According to Emma, \"(Riley is a hero or Jack is a villain) and Samuel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1326, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 1]], [\"lying\", 3]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 10216}
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: Emily, Henry, William, Matthew, Elizabeth, James, Ethan, Evelyn, and Michael. In a statement by Emily: \"(Matthew is a sinner or Evelyn is a sinner o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1327, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 7]]...
{"split": "train", "index": 10217}
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, James, Aiden, Logan, Riley, Zoey, Olivia, Daniel, and Sophia. Charlotte commented, \"Logan is a fool\". \"if (if Zoey is a fool then Olivia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1328, \"statements\": [[\"lying\", 3], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"telling-truth\", 7]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [...
{"split": "train", "index": 10218}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, Liam, James, Aurora, Aiden, Elizabeth, Jacob, Samuel, and Daniel. As Avery put it, \"it is not the case that (Daniel is a laggard)\". Ac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1329, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]],...
{"split": "train", "index": 10219}
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, Emily, Aurora, Joseph, Matthew, Chloe, Evelyn, Amelia, and Isabella. \"it is not the case that (Isabella is a knave if and only if Matthew is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1330, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]]], [\"not\", [\"lying\", 6]], [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 6], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [...
{"split": "train", "index": 10220}
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, David, Benjamin, Daniel, Elizabeth, Matthew, Joseph, Owen, and Sofia. Aurora told you that it is not the case that (if Benjamin is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1331, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 5]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"...
{"split": "train", "index": 10221}
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, Avery, William, Michael, Lucas, James, Joseph, Victoria, and Penelope. In a statement by Aurora: \"(Lucas is a hero and Penelope is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1332, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 3]]], [\...
{"split": "train", "index": 10222}
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: Evelyn, Riley, Lily, Amelia, Scarlett, Matthew, Alexander, James, and Benjamin. Evelyn was heard saying, \"(if Riley is a hero then James is a hero) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1333, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"lying\", 2], [\"or\", [\"telling-truth\", 5], [\"lyin...
{"split": "train", "index": 10223}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Chloe, Ava, Grace, Olivia, Jacob, Abigail, Jack, Sofia, and Isabella. \"(Sofia is a hero) or (Olivia is a hero and Abigail is a villain and Sofia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1334, \"statements\": [[\"or\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 8...
{"split": "train", "index": 10224}
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: Scarlett, David, Lucas, Avery, Oliver, Matthew, Zoey, Amelia, and Ava. Scarlett expressed that (Oliver is a hero if and only if Lucas is a villain) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1335, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"lying\", 3], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth...
{"split": "train", "index": 10225}
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: Mia, Ethan, Ella, Olivia, Isabella, Riley, Jackson, Victoria, and Lily. Mia remarked, \"Lily is an angel\". \"(Lily is an angel if and only if Jackson ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1336, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lyi...
{"split": "train", "index": 10226}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Olivia, Aiden, Mason, Sofia, Logan, Penelope, Ethan, and Grace. According to Samuel, \"(Samuel is a hero or Mason is a villain or Penelope is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1337, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 6]], [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 3]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lyin...
{"split": "train", "index": 10227}
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: Jackson, Jack, Riley, James, Grace, Aria, Elizabeth, Jacob, and Matthew. \"(Grace is a pioneer or Jack is a pioneer or Jack is a laggard) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1338, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 8]], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telli...
{"split": "train", "index": 10228}
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: Aria, Jacob, Ava, Daniel, Michael, Liam, Chloe, Isabella, and Joseph. Aria stated, \"(Chloe is a knave or Isabella is a knight or Chloe is a knight) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1339, \"statements\": [[\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"or\", [\"lying\", 4], [\"<=>\", [\"tellin...
{"split": "train", "index": 10229}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Elizabeth, James, Ella, Avery, Henry, Grace, Daniel, Jacob, and Noah. Elizabeth asserted: \"Grace is an altruist\". \"it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1340, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"or\", [\"telling-truth\", 8], [\"->\", [\"lying\", 5], [\"lying\", 0]], [\"->\", [\"telling-truth\", 5], [\"lying\"...
{"split": "train", "index": 10230}
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, Penelope, Logan, Mason, Alexander, Luke, Ava, Michael, and Matthew. According to Liam, \"Penelope is a villain and (Michael is a hero and Alexa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1341, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"lying\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 0], [\"telli...
{"split": "train", "index": 10231}
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, Daniel, Isabella, Lily, Elizabeth, Henry, Emily, Oliver, and Sofia. Liam said that Oliver is a hero. \"(Liam is a villain or Oliver is a hero o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1342, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]],...
{"split": "train", "index": 10232}
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, Sophia, Matthew, Victoria, Benjamin, Lucas, Jacob, Joseph, and Mason. Sebastian was heard saying, \"(Jacob is an egoist or Joseph is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1343, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 7], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 0...
{"split": "train", "index": 10233}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jacob, Riley, Emily, David, Alexander, Ella, Benjamin, Luke, and Jackson. Jacob expressed that Jackson is a knave and Ella is a knave and (Luke is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1344, \"statements\": [[\"and\", [\"lying\", 8], [\"lying\", 5], [\"or\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2], [\"lying\", 5]], [\"and\", [\"lying\", 2], [\"telli...
{"split": "train", "index": 10234}
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: Evelyn, David, Lily, Jack, Grace, Alexander, Harper, Mia, and Mason. Evelyn told you that (Alexander is a knight and Lily is a knave) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1345, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 0]], [\"->\", [\"telling-truth\", 6], [\"ly...
{"split": "train", "index": 10235}
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: Mia, Sebastian, Isabella, Matthew, Charlotte, Samuel, Liam, Abigail, and Daniel. Mia told you that (Liam is a devil if and only if Liam is an angel) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1346, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"lying\", 3], [\"not\", [\"lying\", 5]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\"...
{"split": "train", "index": 10236}
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, Riley, Samuel, Noah, Amelia, Luke, Lucas, Victoria, and Penelope. \"(Luke is a pioneer) and (Amelia is a laggard if and only if Isabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1347, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"lying\", 0], [\"not\", [\"not...
{"split": "train", "index": 10237}
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: Aurora, Daniel, Owen, Victoria, Scarlett, Zoey, Chloe, Ethan, and Lucas. \"(Daniel is a sage and Daniel is a fool) if and only if (Lucas is a sage if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1348, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 1], [\"lying\", 7], [\"lyi...
{"split": "train", "index": 10238}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Penelope, Noah, Avery, William, Samuel, Sophia, Mia, Lily, and Grace. In a statement by Penelope: \"if (if Penelope is a hero then William is a hero)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1349, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 7]]], [\"->\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\...
{"split": "train", "index": 10239}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Elizabeth, Mason, Joseph, Ava, James, Henry, Jacob, Scarlett, and Alexander. Elizabeth noted, \"(Scarlett is an altruist or Mason is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1350, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"and\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lyin...
{"split": "train", "index": 10240}
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, Olivia, David, Emma, Liam, Henry, Chloe, Mason, and Aiden. Elizabeth said, \"(Mason is a sage) and (David is a sage or Mason is a sage).\" Olivi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1351, \"statements\": [[\"and\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 8],...
{"split": "train", "index": 10241}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ethan, Sophia, Michael, Jackson, Luke, Avery, Isabella, Liam, and Joseph. Ethan stated, \"(Jackson is a saint and Jackson is a sinner and Luke is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1352, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]...
{"split": "train", "index": 10242}
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: Owen, Sebastian, Victoria, Liam, Logan, Daniel, Chloe, Jack, and Ella. Owen asserted: \"Daniel is a fool\". Sebastian noted, \"it is not the case that (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1353, \"statements\": [[\"lying\", 5], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 0]], [\"not\", [\"lying\", 8]], [\"lying\", 8]], [\"not\", [\"-...
{"split": "train", "index": 10243}
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: Aurora, Mia, Chloe, Matthew, Owen, David, Jackson, Noah, and Charlotte. \"(Chloe is a fool or David is a fool) if and only if (Matthew is a fool),\" Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1354, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 5]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"...
{"split": "train", "index": 10244}
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, Owen, Evelyn, David, Jacob, Chloe, Lily, Victoria, and Penelope. \"Evelyn is a fool,\" Emma claimed. In a statement by Owen: \"(Emma is a fool) and E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1355, \"statements\": [[\"lying\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 0]], [\"lying\", 4], [\"telling-truth\", 6], [\"->\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], ...
{"split": "train", "index": 10245}
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: Jackson, Isabella, Zoey, Emily, Harper, Sophia, Abigail, Sofia, and Henry. Jackson said, \"Harper is a knight and (Sophia is a knave or Harper is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1356, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 3]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"telling-truth\", 6],...
{"split": "train", "index": 10246}
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, Oliver, Sophia, Chloe, Emma, Elizabeth, Matthew, Sofia, and Penelope. In William's words: \"(Penelope is an egoist) if and only if (So...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1357, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"te...
{"split": "train", "index": 10247}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Avery, Jacob, Benjamin, Emily, Jackson, Alexander, Ava, Riley, and Aria. Avery said, \"(Emily is a fool) if and only if (Ava is a fool or Benjamin is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1358, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 6], [\"lying\", 2]]], [\"lying\", 8], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"not\", [\"->\", [\"lying\", 0], [\...
{"split": "train", "index": 10248}
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: Michael, Lily, Jack, Amelia, James, Olivia, Mason, Avery, and Grace. Michael told you that (if James is a sage then Lily is a sage) and (Avery is a sage or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1359, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"tell...
{"split": "train", "index": 10249}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sophia, Victoria, Jacob, Ethan, Sofia, Olivia, Ava, Elizabeth, and Mia. \"if Victoria is a sinner then Mia is a sinner,\" Sophia mentioned. Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1360, \"statements\": [[\"->\", [\"lying\", 1], [\"lying\", 8]], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 7]], [\"or\...
{"split": "train", "index": 10250}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Avery, Jacob, Ethan, Oliver, Joseph, Chloe, Riley, Emma, and Aurora. Avery commented, \"(if Emma is a knight then Joseph is a knave) or (if Jacob is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1361, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 0], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4],...
{"split": "train", "index": 10251}
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, Aria, Sofia, Emma, Mia, Henry, James, Lucas, and Daniel. Charlotte noted, \"(James is a knave or Aria is a knave) and (if Lucas is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1362, \"statements\": [[\"and\", [\"or\", [\"lying\", 6], [\"lying\", 1]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 5], [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 2], [\"lyi...
{"split": "train", "index": 10252}
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: William, Ethan, Benjamin, Zoey, Elizabeth, Aria, Mia, Jacob, and Aiden. William noted, \"(if Elizabeth is a fool then Aria is a fool) if and only if Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1363, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 5]], [\"lying\", 2]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"or\"...
{"split": "train", "index": 10253}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ava, Oliver, Ella, Jackson, Chloe, Scarlett, Emma, Jacob, and Daniel. Ava asserted: \"Emma is a devil\". Oliver noted, \"Ella is an angel if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1364, \"statements\": [[\"lying\", 6], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 4], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"->\", [\"or\", [\"tell...
{"split": "train", "index": 10254}
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, Ethan, Charlotte, Sebastian, Riley, Victoria, Liam, Emma, and Mia. Mason stated, \"(Charlotte is a sage) and (Mason is a sage or Victoria is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1365, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-tr...
{"split": "train", "index": 10255}
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: Ethan, Mia, Oliver, Ava, Liam, Penelope, William, Owen, and Jacob. Ethan was heard saying, \"if (if William is a villain then William is a hero) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1366, \"statements\": [[\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 6]], [\"lying\", 7]], [\"<=>\", [\"or\", [\"telling-t...
{"split": "train", "index": 10256}
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, Michael, Noah, David, Mason, Riley, Lucas, Elizabeth, and Harper. Abigail noted, \"if (Riley is a sage) then (Michael is a sage or Harper is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1367, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8]], [\"->\", [\"telling-truth\", 5], [\"lying\", 8]]...
{"split": "train", "index": 10257}
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: David, Evelyn, Ethan, Oliver, Jackson, Sophia, Abigail, Henry, and Sofia. David expressed that (Ethan is a sinner) and (Oliver is a saint and Evelyn ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"lying\", 5], [\"and\", [\"or\", [...
{"split": "train", "index": 10258}
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, Grace, Isabella, Samuel, Charlotte, Lily, Oliver, Scarlett, and Jacob. \"Isabella is an altruist,\" William mentioned. Grace told you ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1369, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 8], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"or\", [\"telling-truth\", 2], [\"<...
{"split": "train", "index": 10259}
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, Joseph, Evelyn, Alexander, Scarlett, Amelia, Noah, Sophia, and Emma. Riley expressed that (Alexander is a saint if and only if Emma is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1370, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 5]]], [\"or\", [\"->\", [\"...
{"split": "train", "index": 10260}
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: Aria, Victoria, Lily, Daniel, Luke, Ava, Liam, Noah, and Scarlett. Aria noted, \"(Scarlett is a knight or Liam is a knight or Luke is a knight) or (L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1371, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [...
{"split": "train", "index": 10261}
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, Aria, Sofia, Lucas, James, Penelope, Aiden, Zoey, and Michael. Ava commented, \"it is not the case that (Zoey is a knave if and only if Penelope...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1372, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 3], [\...
{"split": "train", "index": 10262}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Victoria, Mia, Joseph, Daniel, Oliver, Samuel, Zoey, Logan, and Aiden. \"Joseph is a knight,\" Victoria declared. Mia commented, \"Daniel is a knave ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1373, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 3], ...
{"split": "train", "index": 10263}
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: Chloe, Evelyn, William, Ella, Isabella, Penelope, Henry, Michael, and Grace. Chloe told you that (if Evelyn is a knight then Chloe is a knight) or (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1374, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]], [\"a...
{"split": "train", "index": 10264}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ava, Victoria, Amelia, Chloe, Penelope, Avery, Aria, Sophia, and Matthew. Ava was heard saying, \"(if Ava is a pioneer then Avery is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1375, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"or\", [\"lying\", 2], [\"telling-truth\", 7], [\"lying\", 8]]], [\"or\", [...
{"split": "train", "index": 10265}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lucas, Noah, Abigail, Scarlett, Sebastian, Jack, Sophia, Matthew, and Zoey. Lucas stated, \"if Abigail is a pioneer then (Sebastian is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1376, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"lying\", 5]]], [\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"l...
{"split": "train", "index": 10266}
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, Liam, Ava, Emily, Daniel, Aiden, Grace, Aurora, and Aria. \"(if Liam is an egoist then Aria is an altruist) if and only if (Aria is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1377, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 7], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], ...
{"split": "train", "index": 10267}
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, Michael, Emma, Noah, Lily, Emily, Chloe, Aurora, and Victoria. Mason stated, \"it is not the case that (Chloe is a pioneer if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1378, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"or\", [\"not\", [...
{"split": "train", "index": 10268}
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, Elizabeth, Abigail, Jacob, Ava, Scarlett, Emily, William, and Lucas. Luke remarked, \"Ava is a knight or (if Abigail is a knight then Scarlett ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1379, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 7], [...
{"split": "train", "index": 10269}
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, Benjamin, Matthew, Scarlett, Charlotte, Isabella, Jack, Chloe, and Avery. \"(Benjamin is an egoist if and only if Jack is an egoist) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1380, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\...
{"split": "train", "index": 10270}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aria, Zoey, Chloe, Harper, Lily, Michael, Liam, Ella, and Isabella. Aria commented, \"Harper is a villain\". \"Chloe is a hero,\" Zoey mentioned. Chl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1381, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"and\", [\"lying\", 8], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"or\"...
{"split": "train", "index": 10271}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Benjamin, Chloe, Evelyn, Oliver, Liam, Charlotte, Jack, David, and Joseph. As Benjamin put it, \"(Chloe is a devil) if and only if (Joseph is an angel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1382, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"lying\", 8], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"->\", [\"tel...
{"split": "train", "index": 10272}
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, Aurora, Victoria, Grace, Aria, Michael, Jackson, Olivia, and Sophia. As James put it, \"(Grace is a knave or Victoria is a knave) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1383, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6],...
{"split": "train", "index": 10273}
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: Elizabeth, Henry, Emily, Daniel, Victoria, Avery, Ava, Ella, and Evelyn. Elizabeth commented, \"(if Avery is an angel then Evelyn is a devil) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1384, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]], [\"telling-truth\", 7]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 3], [\"lying\...
{"split": "train", "index": 10274}
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, Riley, Aiden, Ethan, Ava, Lily, Alexander, Harper, and Amelia. Lucas was heard saying, \"(Ethan is a knave or Lily is a knight) and (Riley is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1385, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"...
{"split": "train", "index": 10275}
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, Amelia, Liam, Ava, Chloe, William, Emma, Sebastian, and Henry. \"(Henry is a knave) and (Ava is a knave if and only if Chloe is a knight)\" - J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1386, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]...
{"split": "train", "index": 10276}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Oliver, Chloe, Penelope, Lily, Ethan, Mia, Daniel, Sophia, and Matthew. Oliver said, \"(Matthew is a fool and Chloe is a sage) if and only if (Lily is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1387, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4]...
{"split": "train", "index": 10277}
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, Sophia, James, Luke, Lily, Jacob, Aiden, Chloe, and Zoey. \"if (James is an egoist or Jacob is an altruist) then (Lily is an egoist and S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 5]]], [\"->\", [\"->\", [...
{"split": "train", "index": 10278}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Michael, Evelyn, Abigail, William, Liam, Oliver, Noah, Sophia, and Logan. Michael told you that it is not the case that (Michael is a pioneer i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"->\", [\"lying\", 2], [\"telling-truth\", 8]]]...
{"split": "train", "index": 10279}
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, Zoey, Evelyn, Michael, Lily, Sebastian, Victoria, Isabella, and Grace. Liam said that it is not the case that (Zoey is a villain and Lily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"and\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"no...
{"split": "train", "index": 10280}
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, Daniel, Oliver, William, Olivia, Aiden, Charlotte, Owen, and Alexander. Chloe asserted: \"(Owen is an altruist and Daniel is an egoist a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 1], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"tellin...
{"split": "train", "index": 10281}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Joseph, Olivia, Sofia, Benjamin, Ava, Avery, Mia, Victoria, and Riley. Joseph remarked, \"(Avery is an egoist and Sofia is an altruist) or (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"or\", [\"telling-truth\", 0], ...
{"split": "train", "index": 10282}
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, Scarlett, Elizabeth, Olivia, Alexander, Liam, Aria, Mia, and Ava. Emma remarked, \"(Alexander is an altruist) and (Scarlett is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\",...
{"split": "train", "index": 10283}
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, Elizabeth, Aria, Avery, Victoria, Amelia, Sofia, Ava, and Harper. \"if (Sofia is a saint if and only if Ava is a saint) then (Amelia is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"te...
{"split": "train", "index": 10284}
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: Emily, Grace, Noah, Evelyn, Sebastian, Elizabeth, Avery, Emma, and Ella. According to Emily, \"(if Avery is a hero then Avery is a villain) and Evely...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 6]], [\"lying\", 3], [\"or\", [\"lying\", 6], [\"lying\", 7]]], [\"lying\", 2], [\"or\", [\"lying\", 6], [\"and\", [\"telling-truth\", 3], [\"tellin...
{"split": "train", "index": 10285}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sofia, Victoria, Elizabeth, Oliver, Jackson, Zoey, Isabella, Benjamin, and David. \"(Isabella is an egoist) if and only if (Benjamin is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 5], [\"te...
{"split": "train", "index": 10286}
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, Lily, Scarlett, Aiden, Riley, Mason, Sofia, Daniel, and Emma. Isabella stated, \"it is not the case that (Mason is a sinner and Isabella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 7], [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"->\", [\"and\", [\"...
{"split": "train", "index": 10287}
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: Ella, Victoria, Avery, Ethan, Ava, James, Aurora, Liam, and Mia. As Ella put it, \"if (Avery is an egoist or Ethan is an egoist) then (Ava is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"lying\...
{"split": "train", "index": 10288}
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: Liam, Benjamin, Riley, Elizabeth, Penelope, Alexander, Mia, Scarlett, and Zoey. Liam remarked, \"Riley is a saint\". Benjamin said that (Zoey is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 0]], [\"not\", [\"not\", [\"telli...
{"split": "train", "index": 10289}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Matthew, James, Sofia, Samuel, Jackson, Logan, Ella, Jack, and Evelyn. In a statement by Matthew: \"Evelyn is a knight\". James said that (Samuel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 7]], [\"not\", [\"lying\"...
{"split": "train", "index": 10290}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aiden, Abigail, Owen, Daniel, Amelia, Evelyn, Grace, Benjamin, and Emily. Aiden expressed that if (Evelyn is a fool and Daniel is a fool) then (Amelia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"-...
{"split": "train", "index": 10291}
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: Henry, Liam, Sofia, Chloe, Michael, Amelia, Emily, Lily, and Emma. \"if (Henry is a fool) then (Emma is a fool or Liam is a sage),\" Henry declared. Accord...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"lying\", 0], [\"telling-truth\", 2], [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 2], [\"telling-truth\...
{"split": "train", "index": 10292}
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, Emma, Oliver, Jacob, Mia, Sophia, Luke, Ethan, and Lily. According to Aurora, \"Luke is a hero\". \"it is not the case that (Luke is a hero i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"not\", [\"lying\", 6]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [...
{"split": "train", "index": 10293}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Aiden, Evelyn, Alexander, Sebastian, Matthew, Jack, Mia, and Michael. Ava remarked, \"if Evelyn is a fool then Mia is a sage\". Aiden was heard saying...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"->\", [\"lying\", 2], [\"telling-truth\", 7]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying...
{"split": "train", "index": 10294}
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, Ethan, William, Abigail, Zoey, Aiden, Oliver, Noah, and Aria. Mason remarked, \"if (if William is a devil then Aria is an angel) then (Ethan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying\", 5], [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]], [\"->\", [\"lyin...
{"split": "train", "index": 10295}
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, Benjamin, Chloe, David, Aurora, Ava, Sebastian, Avery, and Grace. \"Olivia is a saint and (Ava is a sinner if and only if Benjamin is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 5], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 7], [\"telling-truth\", 3]]], [\"or\", [\"<...
{"split": "train", "index": 10296}
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: Grace, Charlotte, Evelyn, Abigail, Harper, William, Elizabeth, Jack, and Sophia. In Grace's words: \"Elizabeth is a sage\". \"Elizabeth is a fool,\" Charlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"telling-truth\", 6], [\"lying\", 6], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"telling...
{"split": "train", "index": 10297}
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, Alexander, Emily, Aurora, Benjamin, Penelope, Amelia, Michael, and Charlotte. In Ethan's words: \"if (if Penelope is an egoist then Alex...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"not\", [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"...
{"split": "train", "index": 10298}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Olivia, Mason, Ella, Evelyn, Liam, Sofia, Mia, Avery, and Amelia. According to Olivia, \"Avery is a pioneer\". Mason told you that (Avery is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"t...
{"split": "train", "index": 10299}