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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: Jacob, Noah, Daniel, Emily, Lucas, Riley, Zoey, Mia, and Elizabeth. Jacob said that Zoey is an egoist and ((Mia is an egoist or Zoey is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"and\", [\"lying\", 6], [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"t...
{"split": "train", "index": 15900}
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: Oliver, Aria, Victoria, Evelyn, William, Ella, Henry, Abigail, and Isabella. Oliver said that Isabella is a hero and (it is not the case that (Ella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]]]], [\"->\", [\"not\", [\"not\", ...
{"split": "train", "index": 15901}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Avery, Liam, Matthew, James, Michael, Oliver, Mia, and Emily. Victoria said, \"((Mia is a sage) or (Emily is a fool) or (Matthew is a fool if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 3], [\"lying\", 6]]], [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\",...
{"split": "train", "index": 15902}
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, Jack, Owen, Harper, Ella, Zoey, William, Henry, and Aurora. As Scarlett put it, \"Aurora is a villain\". Jack expressed that Henry is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"lying\", 8], [\"or\", [\"lying\", 7], [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"and\", [\"lying\", 5], [\"t...
{"split": "train", "index": 15903}
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, Harper, Samuel, Riley, Ethan, Victoria, Chloe, Jacob, and Emma. In a statement by Jackson: \"Ethan is an angel if and only if (it is not the c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"or\", [\"lyi...
{"split": "train", "index": 15904}
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: Harper, Isabella, Jacob, Zoey, Jackson, Liam, Amelia, James, and Samuel. \"((Samuel is a hero if and only if Isabella is a hero) and (Jacob is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\...
{"split": "train", "index": 15905}
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: Grace, Matthew, Aurora, Jack, Victoria, Chloe, Henry, Noah, and David. \"it is not the case that ((David is a laggard or Henry is a pioneer or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]]]], [\"<=>\", [\"a...
{"split": "train", "index": 15906}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Olivia, Elizabeth, David, Ella, Zoey, Aiden, Michael, Noah, and Samuel. Olivia expressed that it is not the case that (if (Michael is a villain) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"or\", [\"lying\", 8], [\"->\", [\"<=>\", [\"lying\", 0], [\"tel...
{"split": "train", "index": 15907}
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: Riley, Jackson, Emma, Henry, Samuel, Joseph, Chloe, Benjamin, and Matthew. As Riley put it, \"Matthew is a villain or ((if Benjamin is a villain then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"or\", [\"lying\", 8], [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"tel...
{"split": "train", "index": 15908}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Alexander, Charlotte, Jackson, Abigail, Logan, Michael, Evelyn, Ava, and Grace. \"Jackson is a laggard,\" Alexander mentioned. Charlotte assert...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"lying\", 2], [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 6], [\"and\", [\"not\", [\"lying\", 6]], [\"not\", [\"lying\", 8]]]], [\"not\", [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]]]]...
{"split": "train", "index": 15909}
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, Ava, Penelope, Alexander, Victoria, Samuel, Zoey, Grace, and Abigail. Joseph said that ((Grace is an egoist and Victoria is an egoist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 354, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 8]]], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"t...
{"split": "train", "index": 15910}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Elizabeth, Olivia, Oliver, Joseph, Jacob, Henry, Logan, Alexander, and Lucas. Elizabeth stated, \"Henry is a villain\". In a statement by Olivia: \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 355, \"statements\": [[\"lying\", 5], [\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"lying\", 0]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-tr...
{"split": "train", "index": 15911}
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, Aria, Joseph, Aurora, Samuel, Lucas, Sebastian, Sofia, and Luke. Sophia noted, \"(it is not the case that (Joseph is a sinner if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 356, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"lying\", 5]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"lying\", 3]]]...
{"split": "train", "index": 15912}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Samuel, Riley, Aria, Olivia, William, Aiden, Victoria, Evelyn, and David. In a statement by Samuel: \"Aria is an angel if and only if ((Olivia is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 357, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]]], [\"lying\", 2], [\"->\", [\"<=>\...
{"split": "train", "index": 15913}
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: Chloe, Mia, Aurora, Riley, Jacob, Emily, Olivia, Amelia, and David. Chloe expressed that (if (Amelia is a fool) then Olivia is a fool) or Emily is a sage. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 358, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"lying\", 6]], [\"telling-truth\", 5]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 7...
{"split": "train", "index": 15914}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, Harper, Abigail, Benjamin, Jackson, Ella, James, Evelyn, and Penelope. Michael said that (it is not the case that (Ella is a knight and Jack...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 359, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 3], [\"lying\", 7]], [\"not\", [\"telling-truth\", 4]]]], [\...
{"split": "train", "index": 15915}
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, Jacob, David, Ava, Joseph, Daniel, Owen, Zoey, and Lucas. \"if (it is not the case that (Daniel is a saint)) then (if (Ava is a saint if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"<=>\", [\"tell...
{"split": "train", "index": 15916}
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: Joseph, Michael, Olivia, Sophia, Daniel, Emma, David, Ethan, and Liam. \"Olivia is a sage if and only if (it is not the case that (Liam is a fool and Ethan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 361, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7]]]], [\"and\", [\"->\", [\"lying\", 8], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"lying\", 5]], [\"o...
{"split": "train", "index": 15917}
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, Jackson, Matthew, Samuel, Olivia, Abigail, Isabella, Emma, and Aurora. \"(it is not the case that (if Samuel is a fool then Isabella is a fool)) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 362, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 6]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"<=>\",...
{"split": "train", "index": 15918}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sophia, Matthew, Olivia, Emily, Mason, Henry, Ava, Benjamin, and Daniel. \"Olivia is a fool,\" Sophia mentioned. \"((Daniel is a fool) and (Sophia is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 363, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"lying\", 7]], [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0],...
{"split": "train", "index": 15919}
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: Isabella, Harper, Sophia, Owen, Michael, Evelyn, Liam, Jackson, and Olivia. In Isabella's words: \"((Liam is a villain) if and only if (Harper is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 364, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-tru...
{"split": "train", "index": 15920}
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: Ava, Aurora, Lucas, Harper, Lily, Olivia, Abigail, Logan, and Avery. Ava asserted: \"it is not the case that (Harper is a sinner if and only if Lucas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 7], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 5]], [\"->\", [\"telling-truth\", 4], [\"lying\", 6]]]...
{"split": "train", "index": 15921}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Abigail, Liam, Joseph, Sebastian, James, Avery, Amelia, Emily, and Luke. Abigail told you that (if (Amelia is an angel and Amelia is a devil) then (Lia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 366, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 7], ...
{"split": "train", "index": 15922}
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: Mason, Michael, Henry, Elizabeth, Emma, Ava, Isabella, Benjamin, and Sophia. Mason noted, \"(it is not the case that (Henry is an egoist or Emm...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 367, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\...
{"split": "train", "index": 15923}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Chloe, Grace, Scarlett, Michael, Zoey, Logan, Mia, Jack, and Lily. Chloe said, \"(if (if Jack is a saint then Lily is a saint) then (Scarlett is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 368, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 2], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 5]]], [\"a...
{"split": "train", "index": 15924}
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, Isabella, Lucas, Emma, Harper, Matthew, Logan, Liam, and Alexander. In Aria's words: \"(if (Alexander is a devil and Logan is an angel) then (Lia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 369, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]], [\"not\", [\"or\", [\"or\", [\"lying\"...
{"split": "train", "index": 15925}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, William, Matthew, Jacob, Samuel, Lily, Ethan, Benjamin, and Elizabeth. \"((Matthew is a saint and Amelia is a saint and William is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 370, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"telling-...
{"split": "train", "index": 15926}
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: Abigail, Amelia, Owen, Mason, Sebastian, Zoey, Oliver, Lily, and Michael. Abigail stated, \"((Sebastian is a pioneer and Mason is a laggard) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 371, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 6]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 4], [\"lying\", 5]]]], [\"->\", [\"not\", [\"->\", [\"lying\...
{"split": "train", "index": 15927}
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: Michael, Evelyn, Samuel, Lucas, Mason, Chloe, Alexander, Avery, and William. Michael commented, \"it is not the case that (Evelyn is a devil)\". Evelyn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 372, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 3]], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]], [\"->\", [\"and\"...
{"split": "train", "index": 15928}
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, Penelope, Jackson, Noah, Aurora, Scarlett, Jacob, Avery, and Elizabeth. \"if ((Elizabeth is a fool and Penelope is a fool and Noah is a sage) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 373, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 1], [\"telling-truth\", 3]], [\"lying\", 3]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 3], [\"lyin...
{"split": "train", "index": 15929}
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: Logan, Harper, Victoria, Jackson, Evelyn, Michael, Charlotte, Aurora, and Alexander. In Logan's words: \"(it is not the case that (Harper is a knave ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 374, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"and\", [\"lying\", 2], [\"lying\", 8]]]], [\"<=...
{"split": "train", "index": 15930}
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, Emily, Harper, Sofia, Aiden, Penelope, Michael, Amelia, and Aria. In a statement by Avery: \"Amelia is a villain\". As Emily put it, \"(it is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 375, \"statements\": [[\"lying\", 7], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"and\", [\"telling-tr...
{"split": "train", "index": 15931}
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: Amelia, Alexander, Elizabeth, Grace, Matthew, Ava, Emily, Avery, and Evelyn. \"Grace is a devil,\" Amelia mentioned. \"if (Emily is a devil or (Matthew...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 376, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"lying\", 6], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 3], [...
{"split": "train", "index": 15932}
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, Jackson, Aria, Mia, Victoria, Lucas, Mason, Emily, and Michael. Amelia was heard saying, \"Michael is a villain\". \"Michael is a hero if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 377, \"statements\": [[\"lying\", 8], [\"<=>\", [\"telling-truth\", 8], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 7], [\"lying\",...
{"split": "train", "index": 15933}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Alexander, Liam, Daniel, Noah, Joseph, Henry, Elizabeth, and Grace. As Aiden put it, \"(if (if Henry is an angel then Aiden is an angel) then (G...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 378, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\...
{"split": "train", "index": 15934}
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: Mason, Aria, Sofia, Emma, Evelyn, Luke, Ava, Sophia, and Abigail. Mason remarked, \"((Mason is a hero if and only if Luke is a hero) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 379, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"ly...
{"split": "train", "index": 15935}
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, Emma, Henry, Isabella, Jacob, Riley, Elizabeth, Harper, and Penelope. Ethan stated, \"Henry is a saint or ((if Isabella is a saint then Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 380, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"lying\", 5], [\"or\", [\"and\", [\"and\", [\"ly...
{"split": "train", "index": 15936}
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, Scarlett, Aiden, Lucas, Lily, Emily, Penelope, Zoey, and Owen. Samuel told you that Aiden is a sinner. In a statement by Scarlett: \"(if (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 381, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 3], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telli...
{"split": "train", "index": 15937}
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: Mason, Matthew, Logan, Aurora, Abigail, Oliver, Joseph, Owen, and James. Mason said that (if (James is an egoist and Joseph is an altruist) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 382, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6]], [\"not\", [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 6]]]], [\"and\", [\"->\", [\...
{"split": "train", "index": 15938}
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: Liam, Aiden, Jackson, Logan, Michael, Elizabeth, Lily, Ethan, and Benjamin. In Liam's words: \"((Elizabeth is a sage and Jackson is a sage) and (Aiden is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 383, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"t...
{"split": "train", "index": 15939}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Alexander, Chloe, Grace, Abigail, Avery, Sebastian, Aurora, Luke, and Aria. Alexander noted, \"it is not the case that ((Chloe is a pioneer) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 384, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"or\", [\"<=>\", [\"lying\",...
{"split": "train", "index": 15940}
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: Ethan, Elizabeth, Victoria, Alexander, Lily, William, Owen, Isabella, and Jackson. \"it is not the case that ((Isabella is an angel) or Alexander is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 385, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 7]], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"lying\", 4]], [...
{"split": "train", "index": 15941}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Daniel, Aria, Benjamin, Jacob, Lucas, Logan, Noah, Grace, and Penelope. Daniel commented, \"(if Jacob is an angel then (Grace is an angel or Logan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 386, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\...
{"split": "train", "index": 15942}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Logan, Daniel, Jacob, William, Aurora, Harper, Grace, and Samuel. \"(it is not the case that (Jacob is an egoist if and only if Daniel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 387, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"and\", [\"and\", [...
{"split": "train", "index": 15943}
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: Penelope, Mason, Olivia, Michael, Ava, Chloe, Evelyn, Daniel, and Jackson. Penelope said that if (it is not the case that (Chloe is a laggard a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 3], [\"telling-truth\", 7]]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\"...
{"split": "train", "index": 15944}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Owen, Grace, Aurora, Jacob, Harper, Amelia, David, Aria, and Ethan. Owen expressed that Amelia is a knight. Grace expressed that (Harper is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\...
{"split": "train", "index": 15945}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ethan, Zoey, Jack, Aiden, David, Emily, Riley, Chloe, and Mia. Ethan told you that if ((Chloe is a fool or Mia is a fool or Chloe is a sage) and Chloe is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\...
{"split": "train", "index": 15946}
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, Evelyn, Abigail, Aria, Owen, Grace, Emily, Mia, and Elizabeth. Sebastian expressed that (Elizabeth is a saint) or ((Grace is a saint or El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"lying\", 8]]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\"...
{"split": "train", "index": 15947}
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, Abigail, Scarlett, Isabella, Noah, Penelope, Aiden, Amelia, and Grace. \"(it is not the case that (Grace is a fool and Scarlett is a sage)) and ((if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"te...
{"split": "train", "index": 15948}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Samuel, Lucas, Avery, Henry, Noah, Amelia, Logan, and Liam. Zoey remarked, \"if (it is not the case that (if Samuel is an angel then Amelia is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"lying\", 7]], [\"not\", [\"lying\", 5]]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth...
{"split": "train", "index": 15949}
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: Ella, Logan, Benjamin, Ethan, Avery, Ava, Emma, Lucas, and Victoria. Ella remarked, \"(if (Benjamin is a devil and Ella is an angel and Ethan is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 6], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], ...
{"split": "train", "index": 15950}
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: Abigail, James, Oliver, Luke, Aiden, Olivia, Daniel, Lucas, and Avery. \"if ((Daniel is a laggard and Avery is a laggard and James is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-tru...
{"split": "train", "index": 15951}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Luke, Chloe, William, Isabella, Mason, Sophia, Elizabeth, Mia, and Harper. \"it is not the case that ((Isabella is an angel) and (Isabella is an angel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"ly...
{"split": "train", "index": 15952}
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, Aurora, Noah, Daniel, Scarlett, Ethan, Aiden, Joseph, and David. Emma told you that ((if Aurora is a villain then Aiden is a hero) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]]]], [\"lying\", 3], [\"or\", [\"...
{"split": "train", "index": 15953}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Harper, Liam, Abigail, Joseph, Grace, Samuel, Daniel, Charlotte, and Noah. Harper was heard saying, \"((Abigail is an egoist or Charlotte is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 7], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\...
{"split": "train", "index": 15954}
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: Matthew, Jacob, Olivia, Mason, Sophia, Henry, Oliver, Evelyn, and Jack. \"((Matthew is a pioneer if and only if Oliver is a pioneer) or (if Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"lying\", 1]], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6], [\"lying\...
{"split": "train", "index": 15955}
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: Oliver, Evelyn, Jacob, Owen, Ella, Grace, Mia, Luke, and Avery. According to Oliver, \"(if (Owen is an egoist if and only if Mia is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]],...
{"split": "train", "index": 15956}
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, Jackson, Aiden, Avery, Ella, Mason, Elizabeth, Joseph, and Charlotte. As Samuel put it, \"((Mason is an egoist) or (Mason is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"lying\", 3]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"...
{"split": "train", "index": 15957}
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, Harper, Samuel, Daniel, Jackson, Lily, Charlotte, Liam, and Elizabeth. \"((if Samuel is a sage then Charlotte is a fool) or Harper is a fool or (Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"lying\", 1], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]], [\"not\", [\"lying\", 3]...
{"split": "train", "index": 15958}
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, Daniel, Evelyn, Benjamin, Isabella, Luke, Ava, Alexander, and Logan. Aurora told you that (it is not the case that (Benjamin is a villain)) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5...
{"split": "train", "index": 15959}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, Lucas, Oliver, Evelyn, Avery, Sophia, Charlotte, Aurora, and William. According to Emma, \"Aurora is a pioneer\". \"if (if (Emma is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"not\", [\"lying\", 7]], [\"->\", [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 8]]], [\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 2]]]],...
{"split": "train", "index": 15960}
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, Joseph, Benjamin, Zoey, Riley, Liam, Jackson, Ethan, and Abigail. James expressed that if Liam is a knight then (if Benjamin is a knave then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"and\", [\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]]],...
{"split": "train", "index": 15961}
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, Victoria, Daniel, Penelope, Scarlett, Evelyn, Grace, Noah, and David. Zoey commented, \"Penelope is a sage and (Penelope is a fool or (Grace is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 6], [\"lying\", 8]]], [\"or\", [\"lying\", 7], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"and\", [\"tell...
{"split": "train", "index": 15962}
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, Sophia, Chloe, Aiden, Penelope, Benjamin, Aria, William, and Lily. \"Aiden is a sage or ((William is a fool and Aria is a fool) if and only if (Sop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 6]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-tr...
{"split": "train", "index": 15963}
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, Charlotte, Avery, Elizabeth, Henry, Sophia, Scarlett, Luke, and Mia. \"if (if (Avery is a knave or Scarlett is a knave or Henry is a knave) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 6], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 5], [\"lying\...
{"split": "train", "index": 15964}
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, Alexander, Elizabeth, David, Sophia, Matthew, Logan, Lily, and Chloe. Aiden expressed that (it is not the case that (David is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 6]]]], [\"<=>\", [\"->\", [\"or\", [\"telling...
{"split": "train", "index": 15965}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Oliver, Emily, Victoria, Sophia, Samuel, Harper, Sofia, and Jack. Ella asserted: \"it is not the case that (it is not the case that (if S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]]]], [\"lying\", 5], [\"lying\", 4], [\"not\", [\"lying\", 2]], [\"telling-truth\", 7], [\"or\", [\"lying\", 4], [\"<=>\", [\"or\...
{"split": "train", "index": 15966}
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: Jacob, Zoey, Benjamin, Harper, Oliver, Scarlett, Riley, Aria, and Joseph. Jacob expressed that it is not the case that (if (Aria is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 6]]]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3...
{"split": "train", "index": 15967}
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: David, Benjamin, Owen, Aurora, Jack, Amelia, Ethan, Michael, and Isabella. As David put it, \"((Benjamin is an egoist) or (Amelia is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 1], [\"telling-tru...
{"split": "train", "index": 15968}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Harper, Isabella, Olivia, Lucas, Alexander, Sophia, Jackson, and Luke. Evelyn noted, \"if (Lucas is a devil) then (it is not the case that (Eve...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 7]]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 3...
{"split": "train", "index": 15969}
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, Jacob, Jack, Mia, Logan, Ethan, Abigail, Scarlett, and Noah. \"(if Jacob is a sinner then (Ethan is a saint and Scarlett is a sinner)) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-...
{"split": "train", "index": 15970}
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, Victoria, Zoey, Scarlett, William, Emily, Daniel, Henry, and Sebastian. Mia said that if (it is not the case that (Zoey is an altruist and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 6]]], ...
{"split": "train", "index": 15971}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Avery, Harper, Oliver, Sebastian, Daniel, Isabella, Lucas, and Olivia. As William put it, \"((Olivia is a saint or Lucas is a sinner or Harp...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"lying\", 1]], [\"telling-truth\", 8], [\"<=>\", [\"and\",...
{"split": "train", "index": 15972}
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, Owen, Abigail, Riley, Lucas, Alexander, Emma, Logan, and Avery. \"if ((Logan is a fool and Avery is a sage and Lucas is a fool) and (Owen is a fool if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\",...
{"split": "train", "index": 15973}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Elizabeth, Avery, Henry, Charlotte, Aiden, Riley, Penelope, and Luke. \"((Aiden is a fool or Henry is a fool or Charlotte is a sage) and Aiden is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 5]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], [\"lying\...
{"split": "train", "index": 15974}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Owen, Jackson, Aria, Mason, Oliver, Sofia, Zoey, Ethan, and Olivia. According to Owen, \"(if (Owen is a knave) then (Mason is a knight or Sofia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 6], [\"lyi...
{"split": "train", "index": 15975}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Aiden, Matthew, Ethan, Oliver, Elizabeth, Olivia, Jackson, and Jack. \"Matthew is a hero,\" William mentioned. \"if Jackson is a hero then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 7], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 7], [\"lying\", 8]]]], [\"lying\", 7], [\"or\", [\"<=>...
{"split": "train", "index": 15976}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Daniel, Oliver, Grace, Scarlett, Jacob, Joseph, Chloe, Harper, and Avery. According to Daniel, \"if (if Harper is a devil then (Avery is a devil)) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"->\", [\"->\", [\"lying\", 7], [\"not\", [\"telling-truth\", 8]]], [\"lying\", 6]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\"...
{"split": "train", "index": 15977}
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: Benjamin, Aiden, Owen, Luke, Isabella, Noah, Liam, Logan, and Oliver. \"((Benjamin is an altruist if and only if Isabella is an altruist) or (O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"telling-truth\", 5], [\"not\", [\"tel...
{"split": "train", "index": 15978}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Joseph, Sebastian, James, Emily, Victoria, Noah, Isabella, Zoey, and Amelia. \"Sebastian is a knight,\" Joseph declared. \"Isabella is a knave,\" Seb...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"telling-truth\", 1], [\"lying\", 6], [\"and\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 6]], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"and\",...
{"split": "train", "index": 15979}
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: Abigail, Chloe, Scarlett, Aurora, Amelia, Isabella, Victoria, Aria, and Mason. Abigail said, \"(it is not the case that (Aurora is a sinner if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\"...
{"split": "train", "index": 15980}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Noah, Scarlett, Lily, Evelyn, Aurora, Sofia, Lucas, Abigail, and Logan. In Noah's words: \"if ((Lily is a hero and Lily is a villain and Evelyn is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 7]]], [...
{"split": "train", "index": 15981}
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: Lily, Liam, Oliver, Abigail, Noah, Joseph, Benjamin, Lucas, and Sebastian. Lily expressed that it is not the case that ((Joseph is an angel or Joseph i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 7]], [\"->\", [\"lying\", 4], [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"...
{"split": "train", "index": 15982}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Avery, Mia, Matthew, Amelia, Ava, Henry, Abigail, Michael, and Riley. According to Avery, \"(if (Abigail is an altruist or Amelia is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 2]]],...
{"split": "train", "index": 15983}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Penelope, Matthew, Evelyn, Aria, Oliver, Jack, David, Scarlett, and Owen. \"((Matthew is an egoist and Oliver is an egoist) if and only if (Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], [\"...
{"split": "train", "index": 15984}
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: David, Lily, Emily, Avery, Owen, Daniel, Mia, Oliver, and Sofia. According to David, \"Lily is a villain\". Lily asserted: \"if ((Sofia is a villain ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"lying\", 1], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7], [\"lying...
{"split": "train", "index": 15985}
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: Daniel, Luke, David, Sofia, Scarlett, Ava, Grace, Penelope, and Alexander. Daniel expressed that if (it is not the case that (if Grace is a hero then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"telling-truth\", 5]], [\"lying\", 5], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 5]],...
{"split": "train", "index": 15986}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Charlotte, Aurora, Matthew, Logan, Joseph, Olivia, Ethan, David, and Victoria. \"Aurora is a sinner,\" Charlotte declared. Aurora said that ((if Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"and\", [\"telling-...
{"split": "train", "index": 15987}
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, Matthew, Daniel, Sophia, Jack, Grace, William, Evelyn, and Harper. According to Isabella, \"(if (Daniel is a pioneer) then (Harper is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-trut...
{"split": "train", "index": 15988}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Aurora, Ava, Penelope, Logan, Zoey, Jacob, Avery, and Amelia. Emma stated, \"((if Zoey is a sinner then Aurora is a sinner) if and only if (Aur...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"lying\", 8]]], [\"telling-t...
{"split": "train", "index": 15989}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, Lucas, Samuel, Ella, Owen, Amelia, Daniel, David, and Chloe. Logan said, \"Daniel is a pioneer if and only if (if (Samuel is a pioneer i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"...
{"split": "train", "index": 15990}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emma, Noah, Aria, Joseph, Luke, Jacob, Isabella, Scarlett, and William. Emma said that Luke is an angel. Noah told you that Isabella is an angel. \"if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 6], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 6]], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"not\", [\"telli...
{"split": "train", "index": 15991}
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, Liam, Emma, Ella, Avery, Matthew, Samuel, and Oliver. In Chloe's words: \"Samuel is a knight\". As Evelyn put it, \"((Samuel is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 5]], [\"not\...
{"split": "train", "index": 15992}
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, Lily, Mia, Olivia, Matthew, Alexander, Elizabeth, Avery, and James. Abigail asserted: \"(it is not the case that (Olivia is a fool or Alexander is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 5], [\"lying\", 6]]], [\"->\", [\"telling-truth\", 8], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]]], [\"lying\", 7], [\"and\", [\"and\", [\"n...
{"split": "train", "index": 15993}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Elizabeth, Abigail, Owen, Zoey, Ethan, Charlotte, Chloe, and Jackson. Amelia expressed that (if (if Ethan is an altruist then Abigail i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"lying...
{"split": "train", "index": 15994}
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, Alexander, Aria, Jackson, Harper, Mia, Logan, Emily, and Jacob. \"((if Aria is a knave then Emily is a knight) or (if Jacob is a knave then Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 7]], [\"->\", [\"lying\", 8], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"telling-truth\", 3], [\"lying\", 7]]], [\"and\", [\"->\",...
{"split": "train", "index": 15995}
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, Ava, Matthew, Charlotte, James, Isabella, Amelia, Elizabeth, and Riley. Avery told you that (if Elizabeth is a laggard then (Isabella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 7]]]], [\"->\", [\"or\", [\"lying\", 2], [\"not\", [\"lying\", ...
{"split": "train", "index": 15996}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Charlotte, Evelyn, Riley, Grace, Aiden, Isabella, James, Emily, and Lily. Charlotte said, \"((Isabella is a saint or Evelyn is a sinner or Lily is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8]]], [\...
{"split": "train", "index": 15997}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Charlotte, Isabella, Olivia, James, Aurora, Daniel, Mia, Aria, and Victoria. \"(if Aurora is an altruist then (Charlotte is an altruist if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]]]], [\"or\", [\"or\", [\"->\", [\"t...
{"split": "train", "index": 15998}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Victoria, Harper, Avery, Evelyn, Riley, Aria, Sofia, Emily, and Jack. In Victoria's words: \"it is not the case that ((if Avery is a hero then Riley ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]]], [\"and\", [\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"->\", [\"t...
{"split": "train", "index": 15999}