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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: Evelyn, Benjamin, Sebastian, Jacob, Aria, Harper, Joseph, Elizabeth, and William. Evelyn told you that (Benjamin is a laggard and Aria is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"and\", [\"lying\", 1],...
{"split": "train", "index": 12000}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Logan, Liam, Riley, Victoria, Charlotte, Alexander, Chloe, Jackson, and Emma. As Logan put it, \"(Jackson is an angel and Riley is a devil) and (Liam i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 7], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 0], [\"telling-...
{"split": "train", "index": 12001}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Alexander, Avery, Joseph, Oliver, Chloe, Liam, Riley, Lucas, and Harper. Alexander told you that Avery is a sinner. Avery noted, \"it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"lying\", 1], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]], [\"not\", [\"tellin...
{"split": "train", "index": 12002}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Oliver, Evelyn, Charlotte, Michael, David, Joseph, Penelope, Amelia, and Sebastian. \"Evelyn is a sinner,\" Oliver declared. \"Michael is a saint,\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"lying\", 1], [\"telling-truth\", 3], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"no...
{"split": "train", "index": 12003}
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, Jackson, Avery, Jack, Jacob, Ava, Oliver, Henry, and Harper. Chloe was heard saying, \"Harper is an egoist\". Jackson asserted: \"(Harpe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 2]], [\"->\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-t...
{"split": "train", "index": 12004}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Liam, Noah, Ella, Ava, Chloe, Jack, Alexander, Lucas, and Abigail. \"Ella is an angel,\" Liam declared. In Noah's words: \"it is not the case that (Abi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 5], [\"lying\", 8], [\"lying\", 0],...
{"split": "train", "index": 12005}
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, Emma, Matthew, William, Luke, Avery, Owen, Noah, and Jackson. As Daniel put it, \"it is not the case that (Matthew is a sinner or Avery is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5], [\"telling-truth\", 6], [\"lying\", 5]]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 7], [\"telling-truth\", 7], [\"lying\", 2]], [\"->\", [...
{"split": "train", "index": 12006}
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, Alexander, Riley, Emma, Zoey, Charlotte, Logan, Aurora, and Benjamin. Lucas said, \"(Alexander is a sinner or Emma is a saint or Alexander is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 7], [\"lying\...
{"split": "train", "index": 12007}
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: Henry, Benjamin, Owen, Michael, Sofia, Luke, Victoria, Aurora, and Ava. Henry commented, \"Sofia is an angel\". \"if (Ava is a devil and Benjamin is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"tell...
{"split": "train", "index": 12008}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Charlotte, Mia, Lucas, Harper, Amelia, Evelyn, David, Avery, and Owen. Charlotte was heard saying, \"Mia is a laggard\". Mia was heard saying, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"lying\", 1], [\"not\", [\"not\", [\"lying\", 8]]], [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 8], [\"telling-truth\", 6], [\"lying\", 5]]], [\"and\", [\"lying\", 6], [\"->\", [\"lying\", ...
{"split": "train", "index": 12009}
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, Jacob, Charlotte, Emma, Daniel, Ava, Aria, Abigail, and Michael. \"(Aria is a hero) or (if Emma is a hero then Michael is a villain),\" Ethan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"and\", [\"not\", [\"lying\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling...
{"split": "train", "index": 12010}
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, Zoey, William, Emily, Victoria, David, Sophia, Penelope, and Harper. \"if (William is an altruist) then (David is an egoist if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 2], [\"->\", [\"lyin...
{"split": "train", "index": 12011}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Matthew, William, Aiden, Mason, Olivia, Henry, Aurora, Scarlett, and Joseph. Matthew said that (Aiden is a hero if and only if Joseph is a villain) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 7]]], [...
{"split": "train", "index": 12012}
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, Scarlett, Luke, Sebastian, Emily, Charlotte, Michael, Jack, and Jackson. \"if Emily is a sinner then (Scarlett is a saint if and only if Micha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"->\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 0]], [\"<=>\", [...
{"split": "train", "index": 12013}
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, Joseph, Evelyn, Ella, Scarlett, Liam, Mia, Harper, and Luke. Riley stated, \"(if Mia is an altruist then Harper is an altruist) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]], [\"an...
{"split": "train", "index": 12014}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sebastian, Liam, Samuel, Jack, Isabella, Owen, Aiden, Sofia, and David. \"(if Sebastian is a pioneer then Sofia is a laggard) and (if Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\...
{"split": "train", "index": 12015}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Matthew, Jacob, Luke, Jackson, Chloe, Michael, Alexander, Amelia, and Victoria. As Matthew put it, \"Luke is a villain\". Jacob remarked, \"if (Jacob...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5], [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\"...
{"split": "train", "index": 12016}
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: Noah, Elizabeth, Aurora, Jackson, William, Abigail, Ella, Aria, and Emma. In a statement by Noah: \"it is not the case that (Aurora is a sage if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\", 2]]]...
{"split": "train", "index": 12017}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Owen, Matthew, James, Scarlett, Liam, Mia, Abigail, Zoey, and Jack. Owen was heard saying, \"(Jack is a sinner or Mia is a saint or James is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 5], [\"lying\", 7]], [\"or\", [\"ly...
{"split": "train", "index": 12018}
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, Benjamin, Ava, Olivia, James, Emma, Oliver, Avery, and Aria. In Harper's words: \"it is not the case that (Oliver is a sage or Ava is a fool)\". In...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"telling-truth\", 6], [\"lying\", 0]]], [\"or\", [\"or\...
{"split": "train", "index": 12019}
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, Scarlett, Grace, Harper, Lily, Chloe, Oliver, Aria, and Amelia. In a statement by Benjamin: \"(if Lily is an angel then Aria is an angel) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\",...
{"split": "train", "index": 12020}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Oliver, Harper, Scarlett, Sofia, Aurora, Evelyn, Noah, and Lily. As Logan put it, \"(Noah is a villain if and only if Lily is a hero) and (Aur...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 6]], [\"lying\", 6]], [\"and\", [\"or\", [\"telling-truth\...
{"split": "train", "index": 12021}
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, Evelyn, Jackson, Owen, Jacob, Benjamin, William, Liam, and Sophia. According to Avery, \"if (Evelyn is a fool) then (Evelyn is a sage if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"->\", [\"lying\", 5], [\"telling-truth\", 2]]...
{"split": "train", "index": 12022}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Charlotte, Michael, Abigail, Riley, Victoria, Lucas, Zoey, Penelope, and Jacob. Charlotte remarked, \"it is not the case that (Lucas is a devil or Pene...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"not\", [\"or\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 6]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"tellin...
{"split": "train", "index": 12023}
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, Sophia, Aurora, Alexander, Michael, Chloe, Aiden, Sebastian, and Mia. \"if (Mia is a sage if and only if Michael is a sage) then (Sofia is a sage an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\"...
{"split": "train", "index": 12024}
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, Emma, Scarlett, Charlotte, Riley, Emily, Henry, Daniel, and Lucas. Mia commented, \"(Charlotte is an angel if and only if Henry is an angel) or Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 5], [\"telling-tr...
{"split": "train", "index": 12025}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Chloe, Ella, Avery, Lily, Riley, James, Harper, Lucas, and Penelope. According to Chloe, \"(James is a laggard and Chloe is a pioneer and Lily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"or\",...
{"split": "train", "index": 12026}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sebastian, Chloe, Charlotte, Emily, Liam, Riley, Logan, David, and Lucas. In Sebastian's words: \"Riley is a saint\". Chloe said that (Chloe is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]], [\"not\", [\"lying\", 7]], [\"lying\", 2]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 5], [\"lying\", 4]], ...
{"split": "train", "index": 12027}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Amelia, Liam, Joseph, Jack, Emily, Matthew, Zoey, Ella, and Luke. Amelia commented, \"(Luke is a fool if and only if Jack is a fool) if and only if (Liam i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 7], [\"and\", [\"telling-truth\", 6], [\"lying\", 3], [\"lying\", 6]]], [\"not\", [\"...
{"split": "train", "index": 12028}
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, Aurora, Aria, Sofia, Elizabeth, Oliver, Lucas, James, and David. Emily said, \"James is an angel if and only if (if James is a devil then Sofia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"->\", [\"lying\", 7], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"->\", [\"telling-truth...
{"split": "train", "index": 12029}
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: Lucas, Olivia, Daniel, Sebastian, Elizabeth, James, Luke, Riley, and Penelope. Lucas said that it is not the case that (Daniel is a sage if and only if Jam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"not...
{"split": "train", "index": 12030}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Michael, Avery, Sophia, Harper, Lucas, Emma, Owen, Aiden, and Ethan. Michael said that (Owen is a saint) or (Ethan is a saint if and only if Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"or\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"lying\", 8]], [\"->\", [\"or\", [\"telling-truth\", 7], ...
{"split": "train", "index": 12031}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: James, Avery, Abigail, Matthew, Riley, Liam, Joseph, Benjamin, and Jacob. \"(Riley is a sage if and only if Jacob is a sage) if and only if (Joseph is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 7], [\"lying\...
{"split": "train", "index": 12032}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: James, Aiden, Aurora, Charlotte, Zoey, Jackson, Benjamin, Chloe, and Logan. James told you that (Aurora is a sinner and Logan is a saint and Chloe is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"or\", [\"lying\", 8], ...
{"split": "train", "index": 12033}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Evelyn, Logan, Liam, David, Benjamin, Harper, Jack, Lily, and Joseph. \"Benjamin is a sage,\" Evelyn mentioned. As Logan put it, \"Joseph is a sage\". Liam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 8], [\"not\", [\"lying\", 4]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-t...
{"split": "train", "index": 12034}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emily, Riley, Jack, Penelope, Matthew, Aurora, Alexander, David, and Liam. \"it is not the case that (Matthew is a laggard or Penelope is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 5]], [\"or\", [\"telling-truth\",...
{"split": "train", "index": 12035}
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: Lucas, Luke, Noah, Charlotte, Evelyn, Jack, Jacob, William, and Harper. Lucas stated, \"Charlotte is a fool\". Luke expressed that (Charlotte is a fool if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"lying\", 3], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"not\", [\"lying\", 6]]], [\"->\", [\"...
{"split": "train", "index": 12036}
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, Jackson, Joseph, Logan, Elizabeth, Matthew, Emma, Michael, and Evelyn. James expressed that (Michael is a knave or Emma is a knave or Matthew ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"lying\", 6], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\...
{"split": "train", "index": 12037}
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: Daniel, Ava, Charlotte, David, Aiden, Amelia, Avery, Oliver, and Emma. Daniel remarked, \"(Amelia is a knave and Emma is a knave and Daniel is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"lying\", 8], [\"telling-truth\", 0]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 12038}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Henry, Aria, Evelyn, Lucas, Daniel, Samuel, Victoria, James, and Jackson. In a statement by Henry: \"(Daniel is a villain) and (Lucas is a villain) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 8], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 0], [...
{"split": "train", "index": 12039}
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, Mason, Abigail, Sebastian, Lucas, Zoey, Emma, Avery, and James. \"(Sebastian is an altruist if and only if Abigail is an egoist) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1], [\"lying\", 6]]], [\"lying\", 6], [\"and\", [\"and\", [\"telling-truth\", 5], ...
{"split": "train", "index": 12040}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aiden, Chloe, Oliver, Emma, Michael, David, Aurora, Jack, and Sofia. Aiden stated, \"(Oliver is a hero and Chloe is a hero) or (Jack is a villain and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 5], [...
{"split": "train", "index": 12041}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Matthew, Elizabeth, Sofia, Victoria, Oliver, Olivia, Benjamin, Mia, and Aurora. In a statement by Matthew: \"Victoria is an egoist\". Elizabeth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"lying\", ...
{"split": "train", "index": 12042}
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, Ethan, David, Samuel, Riley, Sofia, Mia, Daniel, and Penelope. According to Isabella, \"Ethan is a devil or (Mia is an angel) or Riley is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"or\", [\"lying\", 1], [\"not\", [\"lying\", 6]], [\"lying\", 4], [\"and\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"telling-truth\", 6], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1]], ...
{"split": "train", "index": 12043}
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: Avery, Abigail, Amelia, Liam, Luke, Mia, Emily, William, and Aria. Avery expressed that if (Mia is an angel or Amelia is a devil or Luke is an angel) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", ...
{"split": "train", "index": 12044}
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, Emily, Jacob, Logan, Ava, Daniel, Scarlett, Sofia, and Matthew. \"Ava is a sinner,\" David declared. Emily commented, \"(David is a sinner if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"<=>\"...
{"split": "train", "index": 12045}
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, Grace, Olivia, William, Henry, Jacob, Isabella, and Daniel. In a statement by James: \"if (Olivia is a knight if and only if Aurora is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 8]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 6], [\"telli...
{"split": "train", "index": 12046}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Noah, Chloe, William, Sofia, Lucas, Aria, Alexander, Luke, and Victoria. \"if (William is a knave if and only if Sofia is a knight) then (Noah is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 5], [\"lying\", 0]], [\"<=>\", [\"lyi...
{"split": "train", "index": 12047}
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: Henry, Abigail, Mason, Ava, Ella, Jacob, Mia, Aria, and Charlotte. Henry asserted: \"Mason is a sinner\". In a statement by Abigail: \"it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"telling-truth\", 4], [\"lying\"...
{"split": "train", "index": 12048}
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, Elizabeth, Abigail, Evelyn, Avery, Samuel, Emma, James, and Joseph. Daniel asserted: \"it is not the case that (Samuel is a laggard or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"not\", [\"or\", [\"lying\", 5], [\"lying\", 6]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5], [\"lying\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"lying\", 5], [\"telling...
{"split": "train", "index": 12049}
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, Emily, Noah, Avery, Aurora, Jack, Aria, Daniel, and Isabella. In a statement by Sophia: \"it is not the case that (Avery is a villain)\". Emi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 3]], [...
{"split": "train", "index": 12050}
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, Logan, Aurora, Jack, Olivia, Sofia, Ethan, David, and Matthew. Luke said, \"(Ethan is a hero and Ethan is a villain) or (Logan is a villain and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 2], [\"lying\",...
{"split": "train", "index": 12051}
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, Samuel, Sophia, Abigail, Aiden, Harper, Emily, Jackson, and Logan. \"Abigail is a villain\" - Aurora. Samuel told you that if Abigail is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 6], [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 7], [\"lyi...
{"split": "train", "index": 12052}
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: Evelyn, Sebastian, Oliver, Penelope, Owen, Mia, Emma, Lucas, and Zoey. Evelyn commented, \"it is not the case that (Emma is an altruist if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]], [\"or\", [\"lying\", 8], [\"telling-truth\", 6], [\"telling-truth\", 0], ...
{"split": "train", "index": 12053}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Jackson, Benjamin, Evelyn, Emma, Michael, Joseph, Mason, and Logan. \"(Jackson is an altruist or Joseph is an egoist) and Benjamin is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6]], [\"lying\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\...
{"split": "train", "index": 12054}
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, Harper, Matthew, Olivia, Liam, Evelyn, Oliver, Noah, and Mia. \"Olivia is a knave,\" Lily declared. \"Liam is a knave\" - Harper. \"(Noah is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"lying\", 3], [\"lying\", 4], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 3]], [\"or\", [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\...
{"split": "train", "index": 12055}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Amelia, Evelyn, Joseph, Oliver, Scarlett, Olivia, Abigail, William, and Mason. Amelia commented, \"it is not the case that (Joseph is a hero or Ameli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"lying\", 0], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]]...
{"split": "train", "index": 12056}
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, Chloe, Penelope, David, Daniel, Harper, Owen, Isabella, and Liam. Sofia told you that Isabella is a hero if and only if (Harper is a hero or C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\...
{"split": "train", "index": 12057}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Matthew, Elizabeth, Ella, Joseph, Lucas, Chloe, Sophia, Scarlett, and Victoria. In Matthew's words: \"it is not the case that (Lucas is a sinner or L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3], [\...
{"split": "train", "index": 12058}
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, William, Avery, Chloe, Ella, Emma, Samuel, Lily, and Aurora. In Mason's words: \"if (William is an angel and Aurora is a devil and Ella is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7], [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\...
{"split": "train", "index": 12059}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Avery, Sofia, Grace, Aiden, Victoria, Owen, Evelyn, Penelope, and Logan. \"(Victoria is a saint or Sofia is a sinner or Aiden is a saint or Logan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 1], [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"t...
{"split": "train", "index": 12060}
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: Jackson, Samuel, Michael, Alexander, Aiden, Scarlett, Mia, Elizabeth, and Noah. Jackson commented, \"(Samuel is a fool) or (Aiden is a sage) or (Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", ...
{"split": "train", "index": 12061}
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, Charlotte, Aiden, Harper, Owen, Jacob, Logan, Lucas, and Daniel. \"(Charlotte is a fool and Charlotte is a sage) if and only if (Daniel is a sage if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"telling-truth\", 4], ...
{"split": "train", "index": 12062}
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, Samuel, Sebastian, Ava, Lily, James, Alexander, Matthew, and Abigail. Lucas asserted: \"Lily is a laggard\". Samuel said that Abigail is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"lying\", 4], [\"telling-truth\", 8], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"lying\", 0], [\"telling-truth\", 8]]], [\"not\", [\...
{"split": "train", "index": 12063}
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: Scarlett, Jacob, Sebastian, Aurora, Isabella, Benjamin, Ava, Evelyn, and Ella. \"(Sebastian is an angel and Evelyn is a devil) or (Sebastian is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-trut...
{"split": "train", "index": 12064}
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: Zoey, Liam, Avery, Logan, Emily, James, Noah, Elizabeth, and Victoria. \"it is not the case that (Avery is a laggard and Emily is a pioneer and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 7], [\"lying\", 5]]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"not\", [\"lying...
{"split": "train", "index": 12065}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aria, Joseph, Aurora, Harper, Sebastian, Samuel, Ethan, Owen, and Victoria. Aria stated, \"Victoria is an angel if and only if (Sebastian is an angel o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]], [\"<=>\", [\"lying\", 3], [\"lying\", 8]]],...
{"split": "train", "index": 12066}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Amelia, Mason, Harper, Zoey, Henry, Sofia, Abigail, William, and Ella. Amelia said that (if Henry is a sage then Henry is a fool) if and only if (Zoey is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 7]], [...
{"split": "train", "index": 12067}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mason, Samuel, Mia, Harper, Elizabeth, Isabella, Lily, Amelia, and Michael. Mason was heard saying, \"Mia is a sinner if and only if (if Amelia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"->\", [\"lying\", 5], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 7], [\"lying\", 5]]], [\"and\", ...
{"split": "train", "index": 12068}
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: Henry, Ethan, Joseph, Owen, Amelia, Michael, Oliver, Olivia, and Luke. Henry commented, \"Michael is a saint and (Olivia is a saint or Owen is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"and\", ...
{"split": "train", "index": 12069}
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, Chloe, Harper, Victoria, Ethan, Sofia, Riley, Charlotte, and Benjamin. Jackson said that Ethan is a devil. Chloe noted, \"it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"->\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 3], [\"telling-truth\", 6...
{"split": "train", "index": 12070}
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, Michael, Evelyn, Aiden, Zoey, Jacob, Mason, Elizabeth, and Benjamin. Olivia said, \"Michael is a laggard if and only if (Evelyn is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"<=>\", [\"lying\", 1], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"telli...
{"split": "train", "index": 12071}
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, Logan, Riley, Charlotte, Mason, Chloe, Zoey, Emma, and David. Matthew said, \"(Riley is a knave or Riley is a knight or David is a knave) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 8]], [\"lying\", 7], [\"->\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-tru...
{"split": "train", "index": 12072}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Abigail, Jacob, Owen, Penelope, Michael, Amelia, Benjamin, Isabella, and David. Abigail said that (Benjamin is a knight and Benjamin is a knave and A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6], [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"lying\", 2]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 5]]], [\"not\", [\"->\", [\"te...
{"split": "train", "index": 12073}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Lucas, Jacob, Lily, Michael, Daniel, Liam, Amelia, and Owen. Jackson said, \"if (if Lily is a sinner then Lucas is a saint) then Lily is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"lying\", 7]], [\"not\", [\"lying\", 4]...
{"split": "train", "index": 12074}
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, Abigail, Zoey, Evelyn, Jacob, Sebastian, Chloe, Amelia, and Jackson. Scarlett asserted: \"(Jackson is a knave or Abigail is a knight or Eve...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\"...
{"split": "train", "index": 12075}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Charlotte, Emily, Harper, David, Olivia, Evelyn, James, Aurora, and Victoria. \"(Charlotte is an angel if and only if Emily is an angel) or (James is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 5]], [\"<=...
{"split": "train", "index": 12076}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Chloe, Jackson, Aria, Sophia, Avery, Jack, Ella, Michael, and Emily. \"(Emily is a pioneer if and only if Jack is a laggard) or (Chloe is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"lying\", 6]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 7], [\"telling-tr...
{"split": "train", "index": 12077}
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, David, Amelia, Ella, Jackson, Chloe, Oliver, Matthew, and Jack. James told you that (Chloe is an angel or Jackson is a devil) if and only if (Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"telling-truth\", 6], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0], [\...
{"split": "train", "index": 12078}
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, Liam, Jack, Emily, Chloe, Evelyn, Owen, David, and Benjamin. \"(David is a knave and Evelyn is a knave and Liam is a knave and David is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 5], [\"lying\", 1], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]], [\"lying\", 3], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"...
{"split": "train", "index": 12079}
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: Zoey, Emma, Penelope, Lucas, Aurora, Emily, Alexander, Matthew, and David. Zoey noted, \"(Alexander is a laggard if and only if Aurora is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 4]], [\"lying\", 6]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"lying\", 8], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]],...
{"split": "train", "index": 12080}
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, Riley, Ethan, Liam, Oliver, Aiden, Samuel, Mia, and Owen. \"if (Samuel is a sage and Liam is a fool) then (if Ethan is a sage then Liam is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 8], [\"lying\", 5]]], [\"->\", [\"->\...
{"split": "train", "index": 12081}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Abigail, Ava, Ella, Jackson, Sophia, Victoria, Liam, Isabella, and Luke. Abigail stated, \"if (Isabella is a knave if and only if Jackson is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6], [\"telling-truth\", 7], [\"telli...
{"split": "train", "index": 12082}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Zoey, Ava, Jacob, Joseph, Henry, Scarlett, Logan, Mason, and Oliver. In a statement by Zoey: \"Ava is a villain\". \"Oliver is a hero and (Henry is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"lying\", 1], [\"and\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [...
{"split": "train", "index": 12083}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Avery, Henry, Sophia, Alexander, Ethan, Emma, Samuel, Evelyn, and Mason. As Avery put it, \"it is not the case that (Evelyn is a villain and Ethan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"lying\", 7], [\"lying\", 6], [\...
{"split": "train", "index": 12084}
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: Riley, Jackson, Chloe, Ethan, Luke, Daniel, Samuel, James, and David. \"(Jackson is a fool if and only if Ethan is a sage) and (Luke is a fool and Daniel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\...
{"split": "train", "index": 12085}
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: Evelyn, Scarlett, James, Isabella, Logan, Matthew, Harper, Ella, and Noah. \"it is not the case that (Matthew is a sinner if and only if Ella is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 2], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"and\", [\...
{"split": "train", "index": 12086}
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, Isabella, Amelia, Jacob, Avery, Aria, Victoria, David, and Sophia. According to Aiden, \"it is not the case that (if David is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"<=>...
{"split": "train", "index": 12087}
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, Oliver, Aria, Michael, Mason, Joseph, Jack, Lucas, and Evelyn. Ethan commented, \"if Aria is a knight then (Joseph is a knight or Lucas is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=...
{"split": "train", "index": 12088}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Samuel, Zoey, Chloe, Jackson, Owen, Logan, Harper, Daniel, and Ava. Samuel noted, \"it is not the case that (Zoey is a sinner if and only if Jackson ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 5], [\"lying\", 5], [\"telling-truth\", 4]], [\"or\"...
{"split": "train", "index": 12089}
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: Owen, Jacob, Penelope, Aria, Jack, Henry, Victoria, Liam, and Luke. Owen commented, \"if (Penelope is a pioneer if and only if Luke is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"telling-truth\", 1], [\"<=>\",...
{"split": "train", "index": 12090}
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, Ethan, Ava, Luke, Penelope, Jackson, Sofia, Henry, and Emily. \"(if Emily is a sage then Emily is a fool) or (Emily is a sage or Jackson is a fool),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\...
{"split": "train", "index": 12091}
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, Samuel, Amelia, Ethan, Alexander, Grace, Emily, Daniel, and Noah. Michael said that (Emily is a pioneer if and only if Michael is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 8], [\"or\", [\"lying\", 3], [\"lying\", 5]]], [\"<=>\", ...
{"split": "train", "index": 12092}
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: Noah, Daniel, Sebastian, Scarlett, Evelyn, Liam, Emma, Charlotte, and Joseph. Noah commented, \"Noah is a pioneer or (if Daniel is a laggard th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"...
{"split": "train", "index": 12093}
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: Lucas, Grace, Joseph, Michael, Jack, David, Aria, Ava, and Sophia. Lucas asserted: \"if Sophia is a sage then (Joseph is a sage and Sophia is a sage and Ar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"...
{"split": "train", "index": 12094}
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: Zoey, Matthew, Ella, Lily, Joseph, Penelope, Mia, Victoria, and Sophia. In Zoey's words: \"(Mia is a sage if and only if Victoria is a sage) or (Lily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"and\", [\"lying\", 5], [\...
{"split": "train", "index": 12095}
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, Ella, Avery, Jackson, Emma, Sofia, Amelia, Ethan, and Lucas. In a statement by Aria: \"(Lucas is a laggard if and only if Lucas is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 3...
{"split": "train", "index": 12096}
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, Scarlett, Evelyn, Ella, Amelia, Aria, Harper, Mason, and Daniel. \"if (if Amelia is a fool then Scarlett is a sage) then (Ella is a sage and Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"t...
{"split": "train", "index": 12097}
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, Elizabeth, Penelope, Matthew, Ethan, Aria, Jacob, Jack, and Mia. As Sofia put it, \"(Jack is a laggard) and Jack is a laggard and (if El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 7]], [\"lying\", 7], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-truth\", 6], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"<=>\...
{"split": "train", "index": 12098}
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: Evelyn, Logan, Isabella, Abigail, Emily, Harper, Owen, Zoey, and Samuel. Evelyn stated, \"Zoey is a sinner\". Logan expressed that if (Emily is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"lying\", 7], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"lying\", 7], [\"lying\", 6]]], [\"lying\", 4...
{"split": "train", "index": 12099}