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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 5 inhabitants: Ethan, Aria, Abigail, Penelope, and Elizabeth. \"(Elizabeth is a laggard if and only if Abigail is a laggard) and (Aria is a laggard and Elizab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 632, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"tell...
{"split": "train", "index": 7300}
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 5 inhabitants: Elizabeth, Isabella, Abigail, Scarlett, and Jacob. In a statement by Elizabeth: \"Isabella is a fool\". According to Isabella, \"(Scarlett is a fool or Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 633, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-trut...
{"split": "train", "index": 7301}
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 5 inhabitants: Mia, Evelyn, Benjamin, Sophia, and Noah. Mia told you that (if Sophia is an angel then Sophia is a devil) or (Sophia is an angel or Noah is an angel). ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 634, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\...
{"split": "train", "index": 7302}
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 5 inhabitants: Zoey, Avery, Oliver, Aurora, and Scarlett. \"if (Avery is a saint and Oliver is a sinner) then (if Oliver is a sinner then Zoey is a saint),\" Zoey c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", ...
{"split": "train", "index": 7303}
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 5 inhabitants: Riley, Chloe, Harper, Liam, and Owen. Riley expressed that it is not the case that (Harper is a devil or Liam is an angel). Chloe stated, \"if (Riley i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 636, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-tr...
{"split": "train", "index": 7304}
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 5 inhabitants: Michael, Mason, Oliver, Zoey, and Ella. Michael noted, \"Mason is a hero\". Mason told you that (if Michael is a hero then Ella is a villain) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 637, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0]...
{"split": "train", "index": 7305}
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 5 inhabitants: Samuel, David, Grace, Elizabeth, and Harper. According to Samuel, \"Grace is a knight\". \"(Harper is a knave or Grace is a knight) or (Samuel is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 638, \"statements\": [[\"not\", [\"lying\", 2]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]...
{"split": "train", "index": 7306}
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 5 inhabitants: Owen, Michael, William, Chloe, and Jackson. Owen was heard saying, \"(Chloe is a villain and William is a hero) or (Michael is a villain)\". As Micha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 639, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"tell...
{"split": "train", "index": 7307}
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 5 inhabitants: Mason, Emily, Harper, Ethan, and Alexander. Mason noted, \"(if Alexander is a knight then Harper is a knight) if and only if (Alexander is a knight)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 640, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"...
{"split": "train", "index": 7308}
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 5 inhabitants: Michael, Sophia, Amelia, Olivia, and Evelyn. \"(Sophia is a hero and Evelyn is a hero) or (Sophia is a hero if and only if Olivia is a hero),\" Micha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 641, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"telling-truth\", 4]],...
{"split": "train", "index": 7309}
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 5 inhabitants: Penelope, Luke, Jacob, Alexander, and Lucas. Penelope expressed that (Jacob is a fool if and only if Luke is a sage) and (Luke is a sage or Jacob is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 642, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"and\", [\"not\", [\"telling...
{"split": "train", "index": 7310}
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 5 inhabitants: Charlotte, Aria, Avery, Michael, and Aurora. \"(Aurora is a sage if and only if Avery is a fool) if and only if Charlotte is a sage,\" Charlotte mentioned....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 643, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"<=>\",...
{"split": "train", "index": 7311}
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 5 inhabitants: Sebastian, James, Jackson, Chloe, and Matthew. \"(Chloe is a saint or Chloe is a sinner) and (Jackson is a sinner),\" Sebastian mentioned. According ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], ...
{"split": "train", "index": 7312}
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 5 inhabitants: Isabella, Aiden, Logan, Joseph, and Aria. Isabella noted, \"Logan is an angel\". \"(Logan is an angel if and only if Isabella is an angel) and Isabella...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 0]], [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-t...
{"split": "train", "index": 7313}
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 5 inhabitants: Lucas, Scarlett, Mason, James, and Daniel. Lucas stated, \"(James is a devil if and only if Daniel is an angel) or (James is a devil)\". Scarlett said ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]...
{"split": "train", "index": 7314}
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 5 inhabitants: Benjamin, Grace, Daniel, William, and Aurora. \"if (Grace is a sage if and only if Benjamin is a sage) then (William is a sage and Grace is a sage),\" Benj...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"telling-truth...
{"split": "train", "index": 7315}
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 5 inhabitants: David, Isabella, Michael, Emma, and Jack. David told you that it is not the case that (if Isabella is a villain then Isabella is a hero). Isabella st...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"ly...
{"split": "train", "index": 7316}
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 5 inhabitants: Emma, Joseph, Emily, Scarlett, and Aurora. Emma said, \"(Aurora is a pioneer) or (Scarlett is a laggard and Emily is a laggard).\" \"(Scarlett ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"l...
{"split": "train", "index": 7317}
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 5 inhabitants: Sophia, Samuel, Lucas, Mason, and Owen. In a statement by Sophia: \"it is not the case that (Mason is a laggard and Sophia is a pioneer)\". Sam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"lying\", 4], [\"lying\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"lying\", 1]]], [\"tel...
{"split": "train", "index": 7318}
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 5 inhabitants: Evelyn, Aiden, Penelope, Jacob, and Harper. Evelyn commented, \"(Harper is a sage or Penelope is a sage) and (Jacob is a sage if and only if Aiden is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"telling-truth\", 3], [\"or\", [\"or\", [\"telling...
{"split": "train", "index": 7319}
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 5 inhabitants: Ava, James, Emma, Olivia, and Liam. In a statement by Ava: \"(Ava is a sage and Emma is a sage) and (Emma is a sage if and only if Emma is a fool)\". Accor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 4]]...
{"split": "train", "index": 7320}
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 5 inhabitants: Ella, Alexander, Daniel, Elizabeth, and Mason. Ella noted, \"(Elizabeth is a laggard and Daniel is a pioneer) or (Alexander is a laggard)\". \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth...
{"split": "train", "index": 7321}
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 5 inhabitants: Logan, Luke, Jackson, Chloe, and Victoria. Logan noted, \"if (Chloe is a sage if and only if Victoria is a fool) then (Chloe is a sage)\". Luke said that i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"and\", [\"or\", [\...
{"split": "train", "index": 7322}
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 5 inhabitants: Amelia, Henry, Lucas, Ella, and Jack. \"(Jack is an egoist and Ella is an egoist) or (Henry is an altruist and Henry is an egoist),\" Amelia cl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\", [\"lyi...
{"split": "train", "index": 7323}
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 5 inhabitants: Lucas, Liam, Abigail, Charlotte, and Zoey. Lucas expressed that (Zoey is a pioneer and Zoey is a laggard) and (Lucas is a laggard). In Liam's w...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2...
{"split": "train", "index": 7324}
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 5 inhabitants: Jack, Henry, David, Avery, and Emma. As Jack put it, \"David is a saint\". \"Emma is a sinner,\" Henry declared. David asserted: \"it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"telling-truth\", 2], [\"lying\", 4], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-tr...
{"split": "train", "index": 7325}
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 5 inhabitants: Alexander, Jack, Daniel, Scarlett, and Abigail. \"Jack is a knave or (Daniel is a knave),\" Alexander claimed. Jack remarked, \"(if Abigail is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"or\", [\"lying\", 1], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 4]], [\"and\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 1]], [\"a...
{"split": "train", "index": 7326}
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 5 inhabitants: Michael, Aiden, Ethan, Matthew, and Oliver. Michael said, \"if (Matthew is a devil or Matthew is an angel) then (Ethan is a devil).\" According to Aide...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->...
{"split": "train", "index": 7327}
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 5 inhabitants: Penelope, Jackson, Owen, Aria, and Samuel. Penelope noted, \"Jackson is a sage\". As Jackson put it, \"Owen is a sage\". Owen asserted: \"(if Jackson is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\...
{"split": "train", "index": 7328}
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 5 inhabitants: Sebastian, Avery, Michael, Riley, and Jackson. Sebastian said, \"(Michael is an angel) or (if Avery is a devil then Sebastian is an angel).\" Avery was...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"telling-...
{"split": "train", "index": 7329}
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 5 inhabitants: Olivia, Jacob, Emma, Matthew, and Samuel. In Olivia's words: \"Samuel is a sinner\". Jacob commented, \"if (Matthew is a saint if and only if Jacob i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"lying\",...
{"split": "train", "index": 7330}
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 5 inhabitants: Grace, Amelia, David, Mia, and Chloe. According to Grace, \"it is not the case that (Mia is a hero and Grace is a hero)\". Amelia told you that Ameli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]], [\"...
{"split": "train", "index": 7331}
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 5 inhabitants: Evelyn, Ella, Mia, Daniel, and Lucas. As Evelyn put it, \"(Mia is a sage) if and only if (Mia is a sage or Daniel is a sage)\". Ella told you that it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"...
{"split": "train", "index": 7332}
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 5 inhabitants: Aurora, Owen, Matthew, Evelyn, and Aiden. Aurora said, \"Aiden is a pioneer.\" Owen commented, \"it is not the case that (if Owen is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\"...
{"split": "train", "index": 7333}
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 5 inhabitants: Emma, Jackson, Benjamin, Matthew, and Logan. Emma stated, \"Logan is an altruist\". Jackson asserted: \"Benjamin is an altruist\". In a stateme...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\",...
{"split": "train", "index": 7334}
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 5 inhabitants: Zoey, Harper, Charlotte, Mia, and Jackson. Zoey expressed that (Charlotte is a devil if and only if Zoey is an angel) or Harper is a devil. \"if (Charl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 1]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\"...
{"split": "train", "index": 7335}
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 5 inhabitants: Charlotte, Aurora, Matthew, Ella, and Owen. Charlotte was heard saying, \"Ella is a sage\". As Aurora put it, \"Owen is a sage\". \"(Ella is a sage and Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"lying\", 4]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling...
{"split": "train", "index": 7336}
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 5 inhabitants: Samuel, Sophia, Ella, Liam, and Luke. Samuel remarked, \"it is not the case that (Sophia is a hero)\". Sophia asserted: \"(Ella is a hero if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 1], [...
{"split": "train", "index": 7337}
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 5 inhabitants: Sebastian, Lucas, Evelyn, Emily, and Aria. In Sebastian's words: \"(Lucas is a sinner) and (Emily is a sinner if and only if Evelyn is a sinner)\". \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"lying\", 1]], [\"<=>\", [\...
{"split": "train", "index": 7338}
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 5 inhabitants: Lucas, Grace, Zoey, Ella, and Avery. Lucas said, \"Avery is a hero.\" Grace said, \"(Zoey is a hero or Avery is a villain) and (Avery is a hero or Gr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"not\", [\"lying\", 4]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"->\", [\"l...
{"split": "train", "index": 7339}
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 5 inhabitants: Penelope, Aurora, Joseph, Emily, and Jack. Penelope commented, \"(Joseph is a laggard if and only if Aurora is a pioneer) if and only if (Auror...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-tr...
{"split": "train", "index": 7340}
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 5 inhabitants: David, Sebastian, Jackson, Emily, and Penelope. As David put it, \"(if Jackson is a knave then Sebastian is a knight) or (Emily is a knave and Sebast...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=...
{"split": "train", "index": 7341}
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 5 inhabitants: William, Oliver, Grace, Amelia, and Harper. \"(Oliver is an angel) or (if Harper is a devil then Amelia is an angel)\" - William. Oliver was heard sayi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"...
{"split": "train", "index": 7342}
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 5 inhabitants: Daniel, Sophia, Victoria, Jack, and William. As Daniel put it, \"(if William is a pioneer then Victoria is a laggard) if and only if (if Daniel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2],...
{"split": "train", "index": 7343}
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 5 inhabitants: Zoey, Sophia, Aiden, Matthew, and Luke. Zoey was heard saying, \"Luke is a sage\". Sophia stated, \"(Aiden is a sage and Matthew is a sage) or Luke is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 4]], [\"lying\", 1], [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 2], [\"ly...
{"split": "train", "index": 7344}
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 5 inhabitants: Sebastian, Michael, Oliver, Lily, and Luke. Sebastian noted, \"(Michael is a hero and Luke is a villain) and (Luke is a villain or Oliver is a hero)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]...
{"split": "train", "index": 7345}
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 5 inhabitants: Logan, Penelope, Jack, Sophia, and Ethan. Logan remarked, \"(if Logan is a knight then Jack is a knight) or (Sophia is a knight)\". Penelope said, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]...
{"split": "train", "index": 7346}
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 5 inhabitants: Olivia, Penelope, Owen, Charlotte, and Alexander. \"Alexander is a devil and Charlotte is an angel,\" Olivia claimed. Penelope said that Olivia is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 0], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"->\", [\"lying\", 2], [\"lying\"...
{"split": "train", "index": 7347}
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 5 inhabitants: Chloe, Liam, Samuel, Noah, and Evelyn. Chloe commented, \"(if Samuel is a sage then Evelyn is a fool) or (Chloe is a sage or Noah is a sage)\". Liam noted,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [...
{"split": "train", "index": 7348}
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 5 inhabitants: Matthew, Michael, Abigail, Evelyn, and Benjamin. \"(Abigail is a devil and Matthew is an angel) if and only if (if Evelyn is an angel then Evelyn is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lyi...
{"split": "train", "index": 7349}
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 5 inhabitants: William, Aiden, Olivia, Ethan, and Avery. William was heard saying, \"(if Ethan is a sage then Olivia is a sage) or (Aiden is a sage or Aiden is a fool)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"->\",...
{"split": "train", "index": 7350}
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 5 inhabitants: Joseph, Aiden, Owen, Noah, and Chloe. \"it is not the case that (Joseph is a knave),\" Joseph declared. As Aiden put it, \"(if Chloe is a knight then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"and...
{"split": "train", "index": 7351}
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 5 inhabitants: Matthew, Mason, Sofia, Daniel, and Benjamin. \"(Sofia is a knave if and only if Matthew is a knight) or (if Benjamin is a knave then Sofia is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"lying\", 1], [\"not\", [\"telling-truth\", 1]], [\"o...
{"split": "train", "index": 7352}
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 5 inhabitants: Owen, Noah, Lily, Isabella, and Henry. In Owen's words: \"Isabella is a pioneer\". As Noah put it, \"it is not the case that (Owen is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"o...
{"split": "train", "index": 7353}
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 5 inhabitants: Harper, Daniel, Michael, Mason, and Liam. Harper expressed that Liam is a hero. Daniel commented, \"Michael is a villain\". Michael stated, \"Mason i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"telling-truth\", 4], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"->\", [\"telling...
{"split": "train", "index": 7354}
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 5 inhabitants: Zoey, Logan, Lily, Luke, and David. Zoey asserted: \"(Luke is an altruist if and only if Lily is an egoist) or Logan is an egoist\". Logan comm...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 1]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 3]], [\"not\", [\"and\", [\"lying\", 3], [\"tel...
{"split": "train", "index": 7355}
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 5 inhabitants: Evelyn, Matthew, Lucas, Ella, and Owen. Evelyn stated, \"if (if Lucas is a knave then Matthew is a knave) then (if Ella is a knave then Lucas is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], ...
{"split": "train", "index": 7356}
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 5 inhabitants: Ethan, David, Olivia, Grace, and Jack. Ethan was heard saying, \"Olivia is an angel\". \"(if Grace is a devil then Olivia is an angel) and (Grace is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 1],...
{"split": "train", "index": 7357}
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 5 inhabitants: Daniel, Sofia, Mason, Logan, and Grace. Daniel was heard saying, \"if (if Mason is a hero then Sofia is a hero) then (Daniel is a hero or Sofia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telli...
{"split": "train", "index": 7358}
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 5 inhabitants: Mia, Grace, Avery, Oliver, and Lily. Mia was heard saying, \"it is not the case that (if Avery is a devil then Grace is a devil)\". Grace was heard say...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"tel...
{"split": "train", "index": 7359}
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 5 inhabitants: Luke, Ella, Charlotte, James, and Jackson. \"it is not the case that (James is a fool)\" - Luke. Ella expressed that Luke is a sage. \"if (James is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"lying\", 0]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"-...
{"split": "train", "index": 7360}
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 5 inhabitants: Amelia, James, Alexander, Sophia, and Ava. Amelia said that (if Alexander is a laggard then Sophia is a laggard) and (Ava is a laggard or Ameli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"<=>\"...
{"split": "train", "index": 7361}
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 5 inhabitants: Sebastian, Aurora, Logan, Sophia, and Lily. According to Sebastian, \"it is not the case that (Lily is a villain and Sebastian is a hero)\". Aurora s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 0], [\"ly...
{"split": "train", "index": 7362}
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 5 inhabitants: Zoey, Aiden, Lucas, Alexander, and Benjamin. According to Zoey, \"(Aiden is a villain or Lucas is a villain) or (Benjamin is a hero)\". Aiden told yo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"...
{"split": "train", "index": 7363}
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 5 inhabitants: Grace, Jack, Victoria, Matthew, and Emma. \"(Matthew is an altruist or Victoria is an egoist) if and only if (Emma is an altruist),\" Grace cla...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"lying\", 3]]], [\"->\", [\"lying\", 3], [\"...
{"split": "train", "index": 7364}
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 5 inhabitants: Mia, Charlotte, Chloe, Oliver, and Lucas. In Mia's words: \"it is not the case that (if Oliver is a saint then Charlotte is a sinner)\". Charlotte re...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling...
{"split": "train", "index": 7365}
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 5 inhabitants: Grace, Lily, William, Emily, and Evelyn. In Grace's words: \"(Lily is a laggard) or (if Evelyn is a pioneer then Grace is a pioneer)\". Lily co...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"lying\", 4], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 3], [\"lying...
{"split": "train", "index": 7366}
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 5 inhabitants: Scarlett, Amelia, Harper, Logan, and Zoey. Scarlett asserted: \"(Harper is a laggard and Harper is a pioneer) and (Logan is a pioneer)\". Ameli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4], [\"not\", [\"lying\", 3]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"...
{"split": "train", "index": 7367}
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 5 inhabitants: Alexander, Ella, Michael, Avery, and Joseph. \"if (Michael is a fool) then (Ella is a sage or Michael is a fool),\" Alexander claimed. In a statement by El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\...
{"split": "train", "index": 7368}
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 5 inhabitants: Sophia, Victoria, Charlotte, Abigail, and Owen. Sophia noted, \"Abigail is a villain\". \"Abigail is a villain,\" Victoria claimed. As Charlotte put ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"lying\", 3], [\"lying\", 3], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"tellin...
{"split": "train", "index": 7369}
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 5 inhabitants: Scarlett, Jacob, Sophia, Mia, and Matthew. Scarlett said that it is not the case that (if Jacob is a devil then Mia is a devil). Jacob asserted: \"Soph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"lying\", 1], [\"tel...
{"split": "train", "index": 7370}
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 5 inhabitants: Owen, Mason, Sophia, Sofia, and Isabella. In Owen's words: \"(Sofia is a hero) or (Sofia is a villain if and only if Sophia is a villain)\". Mason re...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 3], [\"<=...
{"split": "train", "index": 7371}
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 5 inhabitants: Emily, Michael, Scarlett, Zoey, and Olivia. \"it is not the case that (Michael is an angel or Zoey is a devil)\" - Emily. \"(Emily is a devil) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [...
{"split": "train", "index": 7372}
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 5 inhabitants: Zoey, Scarlett, Sophia, Charlotte, and Lucas. Zoey commented, \"if (if Charlotte is a knave then Zoey is a knight) then (if Charlotte is a knave then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]]], [\"or\", [\"telling-truth\", 3...
{"split": "train", "index": 7373}
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 5 inhabitants: Joseph, Amelia, Oliver, Elizabeth, and James. Joseph expressed that Elizabeth is a laggard and (if Joseph is a pioneer then Oliver is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-tru...
{"split": "train", "index": 7374}
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 5 inhabitants: Mason, Harper, Benjamin, Ethan, and Zoey. Mason noted, \"if (Zoey is a sinner if and only if Zoey is a saint) then (Harper is a sinner if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2]],...
{"split": "train", "index": 7375}
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 5 inhabitants: Ella, Olivia, Mason, Zoey, and Ethan. In a statement by Ella: \"it is not the case that (Olivia is an altruist or Zoey is an egoist)\". In Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"...
{"split": "train", "index": 7376}
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 5 inhabitants: Logan, Owen, Isabella, Samuel, and Charlotte. Logan remarked, \"if (Owen is a sinner or Logan is a saint) then (Charlotte is a saint and Samuel is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\"...
{"split": "train", "index": 7377}
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 5 inhabitants: Chloe, Jack, Abigail, Benjamin, and Lily. \"it is not the case that (Abigail is a pioneer if and only if Benjamin is a laggard),\" Chloe mentio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"...
{"split": "train", "index": 7378}
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 5 inhabitants: David, Emily, Avery, Victoria, and Scarlett. David was heard saying, \"Victoria is an egoist\". Emily stated, \"it is not the case that (Victor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0]]]...
{"split": "train", "index": 7379}
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 5 inhabitants: Michael, Henry, Avery, Lily, and Joseph. \"if (Henry is a sage if and only if Avery is a fool) then (Michael is a fool)\" - Michael. In a statement by Henr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-tru...
{"split": "train", "index": 7380}
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 5 inhabitants: Michael, Alexander, Noah, Jackson, and Owen. Michael noted, \"(Owen is a laggard or Jackson is a laggard) and (Alexander is a laggard)\". Alexa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or...
{"split": "train", "index": 7381}
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 5 inhabitants: Alexander, Benjamin, Aria, Scarlett, and Luke. Alexander remarked, \"Benjamin is a villain if and only if (Luke is a hero if and only if Luke is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 3], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", ...
{"split": "train", "index": 7382}
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 5 inhabitants: Ethan, Mason, Scarlett, Aria, and Emma. Ethan asserted: \"Aria is a pioneer\". \"Aria is a laggard,\" Mason claimed. Scarlett said that (Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"telling-truth\", 3], [\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telli...
{"split": "train", "index": 7383}
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 5 inhabitants: Noah, Emma, Benjamin, Isabella, and Charlotte. Noah remarked, \"(Benjamin is an egoist and Emma is an egoist) or (Charlotte is an egoist if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"lying\", 0], [\"telling-truth\", 0], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [...
{"split": "train", "index": 7384}
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 5 inhabitants: Matthew, James, Noah, Mia, and Daniel. Matthew expressed that (if Mia is a villain then Noah is a hero) if and only if (Matthew is a hero and Mia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-trut...
{"split": "train", "index": 7385}
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 5 inhabitants: William, Daniel, Sofia, Oliver, and Abigail. William was heard saying, \"(Oliver is a knight if and only if Sofia is a knave) and (if William is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\...
{"split": "train", "index": 7386}
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 5 inhabitants: Ethan, Michael, Grace, Evelyn, and Lily. In Ethan's words: \"it is not the case that (Evelyn is a laggard)\". Michael told you that if (Lily is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=...
{"split": "train", "index": 7387}
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 5 inhabitants: Aiden, Chloe, Evelyn, Ethan, and Jacob. Aiden said that (Ethan is a sinner or Evelyn is a sinner) and (Aiden is a saint if and only if Chloe is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"lying\", 3...
{"split": "train", "index": 7388}
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 5 inhabitants: Chloe, Noah, Aurora, Liam, and Mason. Chloe expressed that Chloe is a saint and (Mason is a saint and Mason is a sinner). According to Noah, \"Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 2], [\"not\", [\"and\"...
{"split": "train", "index": 7389}
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 5 inhabitants: Ava, Olivia, Oliver, Sophia, and Daniel. As Ava put it, \"Daniel is a sinner and (Olivia is a sinner or Ava is a saint)\". Olivia told you that Olive...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"telli...
{"split": "train", "index": 7390}
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 5 inhabitants: Scarlett, Charlotte, Jackson, Samuel, and Victoria. \"Samuel is a sinner\" - Scarlett. As Charlotte put it, \"if (Samuel is a sinner) then (Scarlett ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"tel...
{"split": "train", "index": 7391}
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 5 inhabitants: Ava, Oliver, Aiden, Michael, and Isabella. \"Isabella is a villain\" - Ava. According to Oliver, \"(Isabella is a villain) or (Michael is a villain)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]...
{"split": "train", "index": 7392}
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 5 inhabitants: Owen, Amelia, Isabella, Evelyn, and David. Owen expressed that (Amelia is a hero and Isabella is a hero) if and only if Amelia is a villain. Amelia c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 1]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\...
{"split": "train", "index": 7393}
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 5 inhabitants: Oliver, Riley, Penelope, Matthew, and Jacob. Oliver remarked, \"(Oliver is a saint if and only if Matthew is a saint) and (Matthew is a sinner if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"telling-truth\...
{"split": "train", "index": 7394}
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 5 inhabitants: Penelope, Lucas, Lily, Ethan, and Samuel. Penelope said that it is not the case that (Samuel is a sage). Lucas told you that (Lucas is a sage if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [...
{"split": "train", "index": 7395}
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 5 inhabitants: Ella, Benjamin, David, Jack, and Scarlett. Ella commented, \"Jack is a saint if and only if (Scarlett is a sinner)\". \"if (David is a sinner if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"lying\", 2]]], [\"lying\", 4], [\"<=>\", [\"or\", [\"telling-truth\",...
{"split": "train", "index": 7396}
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 5 inhabitants: Abigail, David, Ethan, Aurora, and Riley. Abigail was heard saying, \"if (Abigail is a pioneer if and only if Ethan is a pioneer) then (Aurora ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", ...
{"split": "train", "index": 7397}
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 5 inhabitants: Liam, Jack, Lily, Sofia, and Penelope. Liam told you that (if Jack is a knight then Lily is a knave) and (Sofia is a knight or Lily is a knave). Acco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"tell...
{"split": "train", "index": 7398}
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 5 inhabitants: David, Daniel, Samuel, Liam, and Sofia. According to David, \"it is not the case that (Sofia is an angel if and only if Liam is an angel)\". Daniel sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling...
{"split": "train", "index": 7399}