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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: Harper, David, Aiden, Evelyn, and Charlotte. Harper was heard saying, \"(Charlotte is a knight) and (Aiden is a knight if and only if (Aiden is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 3]]]], [\"not\", [\"telling-truth\", 4]], [\"lying\", 4...
{"split": "train", "index": 18600}
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, Lily, Noah, Scarlett, and Charlotte. Lucas remarked, \"it is not the case that (if (Scarlett is a hero) then (Charlotte is a villain if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"lying\", 2]], [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [...
{"split": "train", "index": 18601}
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: Amelia, Joseph, Harper, Lily, and Abigail. As Amelia put it, \"if ((if Abigail is a knight then Lily is a knight) if and only if Joseph is a knight) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], ...
{"split": "train", "index": 18602}
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: Aurora, Logan, Olivia, Lily, and Ella. Aurora said that Logan is a hero. \"(if (if Olivia is a hero then Aurora is a hero) then (Aurora is a hero if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], ...
{"split": "train", "index": 18603}
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: Zoey, Matthew, Victoria, Alexander, and Mia. In a statement by Zoey: \"((Zoey is a laggard) and Zoey is a pioneer and (Victoria is a laggard if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 2...
{"split": "train", "index": 18604}
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, Oliver, Elizabeth, Jacob, and William. According to Alexander, \"(it is not the case that (Oliver is a knave and Elizabeth is a knight and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"or\"...
{"split": "train", "index": 18605}
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: Alexander, Mason, Sofia, Sebastian, and Owen. Alexander asserted: \"it is not the case that ((Sebastian is a devil if and only if Sofia is an angel) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\...
{"split": "train", "index": 18606}
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, Oliver, Henry, Evelyn, and Jacob. Penelope stated, \"((Jacob is a laggard or Penelope is a pioneer or Oliver is a laggard) and (if He...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [...
{"split": "train", "index": 18607}
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, Harper, Victoria, Logan, and Charlotte. \"Logan is an altruist,\" Ella mentioned. Harper said, \"((Ella is an egoist if and only if Charl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 3], [\"lying\", 0], [\"<=>\"...
{"split": "train", "index": 18608}
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: Noah, David, Jackson, Aria, and Emily. Noah noted, \"(if (Jackson is a sage if and only if Noah is a sage) then (if Jackson is a fool then Jackson is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]], ...
{"split": "train", "index": 18609}
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: Penelope, Lucas, Grace, Ethan, and Mason. According to Penelope, \"(it is not the case that (if Grace is a villain then Mason is a villain)) and (Mas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"telling-truth\", 3]...
{"split": "train", "index": 18610}
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: Henry, Mason, Matthew, Charlotte, and Aurora. Henry said, \"it is not the case that ((if Charlotte is a saint then Mason is a saint) or (if Aurora is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"lying\", 2], [\"->\", [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-tru...
{"split": "train", "index": 18611}
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: Mason, David, Jacob, Daniel, and James. Mason remarked, \"(if (Daniel is a laggard if and only if Jacob is a laggard) then (Jacob is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]]]], [\"lying\", 2], [\"lying\", 0], [\"and\", [\"or\", [\"or\",...
{"split": "train", "index": 18612}
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: Olivia, Elizabeth, Abigail, Chloe, and Sebastian. \"(it is not the case that (Sebastian is a knight if and only if Abigail is a knave)) and ((Chloe i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling...
{"split": "train", "index": 18613}
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, Mia, Jack, Aria, and Luke. \"Jack is a hero,\" Matthew claimed. \"Luke is a hero\" - Mia. In a statement by Jack: \"((if Aria is a hero then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"lying\", 4]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-trut...
{"split": "train", "index": 18614}
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: Aria, Owen, Ethan, Sophia, and Harper. \"if (if (Sophia is an altruist) then Sophia is an altruist) then ((Owen is an egoist and Harper is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]...
{"split": "train", "index": 18615}
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: James, Scarlett, Alexander, Jacob, and Harper. \"it is not the case that (if (Jacob is an angel or Harper is a devil or Scarlett is an angel or Harper ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 3]]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [...
{"split": "train", "index": 18616}
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: Oliver, Owen, Sebastian, Aiden, and Matthew. Oliver commented, \"Sebastian is a pioneer\". Owen stated, \"((Sebastian is a laggard if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 3],...
{"split": "train", "index": 18617}
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: Aria, Isabella, Abigail, Michael, and Penelope. \"(if Aria is an altruist then (Isabella is an egoist and Abigail is an altruist and Penelope i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 3...
{"split": "train", "index": 18618}
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: Henry, Noah, Emma, Sofia, and Aurora. Henry stated, \"Emma is a knave\". \"Emma is a knight,\" Noah claimed. Emma told you that it is not the case th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"lying\", 2], [\"telling-truth\", 2], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling...
{"split": "train", "index": 18619}
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: Emily, Luke, Mason, Liam, and James. Emily was heard saying, \"it is not the case that (if (if Luke is a pioneer then James is a pioneer) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"lying\", 3], [\"and\", [\"and\", [\"not\", [\"te...
{"split": "train", "index": 18620}
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: Jacob, Harper, Benjamin, Aria, and Liam. Jacob noted, \"Harper is an egoist and ((if Harper is an egoist then Liam is an egoist) and (Benjamin ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"lying\", 3], [\"lying\", 1]...
{"split": "train", "index": 18621}
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: Olivia, Chloe, Michael, Emma, and Noah. In Olivia's words: \"it is not the case that ((Chloe is an egoist and Michael is an egoist and Emma is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\"...
{"split": "train", "index": 18622}
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: Elizabeth, Evelyn, Logan, Lucas, and Mason. Elizabeth noted, \"if (if (Evelyn is a devil if and only if Mason is a devil) then (Lucas is a devil if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]]...
{"split": "train", "index": 18623}
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, Benjamin, Sophia, Charlotte, and Grace. Luke said that (if (Charlotte is a fool if and only if Grace is a fool) then (if Sophia is a fool then Luke i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2],...
{"split": "train", "index": 18624}
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: Benjamin, Daniel, William, Evelyn, and Aiden. According to Benjamin, \"if ((Aiden is a devil) if and only if (William is an angel if and only if Daniel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"and\", [\"or\", [\"not\"...
{"split": "train", "index": 18625}
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, Elizabeth, Owen, Abigail, and Joseph. Evelyn remarked, \"((Evelyn is a fool) if and only if Joseph is a sage) and ((Owen is a fool and Joseph is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]...
{"split": "train", "index": 18626}
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: Lucas, Zoey, Owen, Ethan, and Alexander. In a statement by Lucas: \"(Alexander is a knave) or Lucas is a knight or Zoey is a knight\". Zoey said that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 2], [\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"te...
{"split": "train", "index": 18627}
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: Samuel, Charlotte, Noah, Daniel, and Scarlett. \"((if Scarlett is a sinner then Charlotte is a saint) or (if Charlotte is a saint then Noah is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth...
{"split": "train", "index": 18628}
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, Jacob, Noah, Emma, and James. Zoey was heard saying, \"it is not the case that (if (if Noah is a hero then James is a villain) then (James is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-...
{"split": "train", "index": 18629}
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: Avery, Jacob, Ava, William, and Isabella. Avery asserted: \"if (Isabella is an egoist) then William is an altruist\". Jacob asserted: \"(it is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"not\", [\"t...
{"split": "train", "index": 18630}
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: Henry, Riley, Mason, David, and Avery. As Henry put it, \"if ((if Henry is a knight then Avery is a knight) or (Mason is a knight if and only if Rile...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\"...
{"split": "train", "index": 18631}
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: Riley, Jack, Ethan, Jacob, and Oliver. Riley told you that ((Ethan is a laggard or Jack is a pioneer or Jacob is a laggard or Jacob is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"lying\", 1], [\"not\", [\"telling-truth\...
{"split": "train", "index": 18632}
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: James, Emily, Mia, Lily, and Ethan. James said, \"it is not the case that ((Mia is a pioneer) or (Emily is a pioneer) or (Mia is a pioneer and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"tel...
{"split": "train", "index": 18633}
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: Aurora, Matthew, James, Mason, and Joseph. Aurora commented, \"((James is a sage) and James is a fool and (Aurora is a sage if and only if James is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 2]], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"->\", [\"...
{"split": "train", "index": 18634}
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: Zoey, Lucas, Ethan, Chloe, and Charlotte. Zoey stated, \"Lucas is a pioneer if and only if ((Lucas is a pioneer or Chloe is a pioneer or Chloe ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"ly...
{"split": "train", "index": 18635}
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: Mia, Chloe, Joseph, Sophia, and Abigail. Mia commented, \"((Joseph is a knave or Chloe is a knight) and Joseph is a knave and (Sophia is a knight and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\"...
{"split": "train", "index": 18636}
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: Abigail, William, Matthew, Lucas, and Ava. Abigail commented, \"if Lucas is a hero then ((if Ava is a hero then Matthew is a hero) and (Matthew is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 4]]], [\"<=>\", ...
{"split": "train", "index": 18637}
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: Owen, Daniel, Sebastian, Emma, and Mason. Owen remarked, \"(if (Daniel is an altruist) then (Sebastian is an altruist and Mason is an altruist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\", [\"lying\", ...
{"split": "train", "index": 18638}
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: Mason, Liam, Luke, Sophia, and Ethan. Mason told you that Liam is a pioneer or (it is not the case that (Liam is a pioneer)) or Liam is a lagga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"not\", [\"lying\", 1]]], [\"lying\", 1]], [\"lying\", 2], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\",...
{"split": "train", "index": 18639}
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: David, Ella, Ava, Mia, and Victoria. \"Ella is a pioneer,\" David claimed. As Ella put it, \"it is not the case that (if (David is a laggard an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 4]]]], [\"lying\", 4], [...
{"split": "train", "index": 18640}
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: James, Samuel, Riley, Liam, and Amelia. James expressed that it is not the case that ((Liam is a devil or Samuel is an angel or Amelia is a devil or Ri...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", ...
{"split": "train", "index": 18641}
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: Avery, Zoey, Noah, Sofia, and David. Avery commented, \"(it is not the case that (Sofia is a knight or Noah is a knave)) or (it is not the case that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4...
{"split": "train", "index": 18642}
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: James, Mason, Victoria, Joseph, and Liam. James was heard saying, \"((Joseph is a laggard and Mason is a laggard and James is a pioneer and Mas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\...
{"split": "train", "index": 18643}
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: Daniel, Elizabeth, William, Matthew, and Sofia. Daniel remarked, \"if Elizabeth is an angel then ((William is an angel) or (Matthew is an angel if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"lying\", 3...
{"split": "train", "index": 18644}
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: Abigail, Jacob, William, Samuel, and Mia. Abigail said, \"it is not the case that ((if Jacob is a devil then Mia is a devil) or (Samuel is a devil or J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 2]]]], [\"telling-truth\", 1], [\"not\", [\"<=>\", [\"or\"...
{"split": "train", "index": 18645}
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, Evelyn, Olivia, Sophia, and Liam. According to Owen, \"(it is not the case that (Sophia is a laggard)) and Olivia is a pioneer and Sophia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"tell...
{"split": "train", "index": 18646}
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: Chloe, Mia, Grace, Ella, and David. Chloe said, \"(Mia is a devil or (if Mia is a devil then Grace is an angel) or (if Mia is an angel then Ella is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], ...
{"split": "train", "index": 18647}
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: Mason, Luke, Lily, Sofia, and Daniel. Mason stated, \"Daniel is a villain\". Luke remarked, \"(it is not the case that (Lily is a villain if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth...
{"split": "train", "index": 18648}
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: Aiden, Liam, David, Henry, and Avery. Aiden told you that if ((if David is a devil then Aiden is an angel) if and only if (if Henry is an angel then Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lyi...
{"split": "train", "index": 18649}
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, Aiden, Mason, Scarlett, and Zoey. \"(it is not the case that (if Mason is a sinner then Zoey is a sinner)) if and only if Scarlett is a sinner,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 3]], [\"not\", [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 0...
{"split": "train", "index": 18650}
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: Emma, Olivia, William, Aurora, and Aiden. Emma said, \"Aurora is a sage.\" Olivia asserted: \"it is not the case that (if (if Aiden is a fool then Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"tell...
{"split": "train", "index": 18651}
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: Mia, Ava, Liam, James, and Elizabeth. In a statement by Mia: \"((Ava is a villain) and (Ava is a villain and Liam is a hero and Liam is a villain and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"...
{"split": "train", "index": 18652}
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: James, Mason, Samuel, William, and David. James asserted: \"Samuel is a sage or ((if William is a fool then James is a sage) or (Mason is a fool and Samuel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"->\", [\"not\", ...
{"split": "train", "index": 18653}
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: Emily, Harper, Aria, Penelope, and Ethan. Emily said that ((if Penelope is a laggard then Harper is a pioneer) if and only if Ethan is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]], [\"and\",...
{"split": "train", "index": 18654}
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: Aurora, Penelope, Logan, Zoey, and Harper. \"(if (if Zoey is a sinner then Zoey is a saint) then (Aurora is a saint or Penelope is a sinner or Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], ...
{"split": "train", "index": 18655}
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: Oliver, Logan, Lily, Aiden, and Avery. Oliver commented, \"((Lily is an angel or Logan is an angel or Oliver is an angel) if and only if (Aiden is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-trut...
{"split": "train", "index": 18656}
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: Luke, James, Oliver, Emily, and Ava. In Luke's words: \"(if (if Emily is a laggard then James is a pioneer) then (Emily is a pioneer)) and ((Em...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\...
{"split": "train", "index": 18657}
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: Riley, Joseph, Luke, Emily, and Elizabeth. Riley asserted: \"Joseph is an altruist and ((Luke is an egoist and Riley is an altruist and Joseph ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\",...
{"split": "train", "index": 18658}
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: Penelope, Samuel, Sebastian, Avery, and Evelyn. Penelope said that (it is not the case that (Samuel is a sinner)) and Avery is a sinner. In Samuel's ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"lying\", 3]], [\"lying\", 2], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 4]], [\...
{"split": "train", "index": 18659}
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, Ella, Sebastian, Jacob, and Evelyn. According to Charlotte, \"if ((Evelyn is a sage) if and only if Evelyn is a sage) then ((if Charlotte is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 4]]]], [\"not\", [\"not\", [\"<=>\", [\"telling-tru...
{"split": "train", "index": 18660}
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: Liam, Aiden, Jacob, Charlotte, and Ethan. Liam remarked, \"((if Aiden is an angel then Ethan is a devil) and (Charlotte is a devil) and (Aiden is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]...
{"split": "train", "index": 18661}
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, Lucas, Matthew, Owen, and Penelope. Evelyn said, \"Penelope is a sage and ((if Lucas is a sage then Lucas is a fool) and (if Matthew is a sage then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-trut...
{"split": "train", "index": 18662}
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: Alexander, Sophia, Grace, Harper, and Daniel. Alexander asserted: \"Sophia is a laggard\". As Sophia put it, \"Harper is a pioneer\". Grace ass...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"lying\", 1], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"lying\", 4], [\"->\", [...
{"split": "train", "index": 18663}
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: Henry, Harper, Noah, Aurora, and Zoey. Henry remarked, \"((if Aurora is a knight then Noah is a knave) or (Henry is a knight if and only if Aurora is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-t...
{"split": "train", "index": 18664}
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, Mason, Mia, Henry, and Sebastian. Alexander asserted: \"(if (Henry is a sage or Alexander is a sage) then Henry is a sage) or (Sebastian is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lyi...
{"split": "train", "index": 18665}
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: William, Mason, Sofia, Charlotte, and Emily. \"((William is a saint if and only if Sofia is a sinner) or (Emily is a sinner or Sofia is a sinner or W...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"or\", [\"telling-t...
{"split": "train", "index": 18666}
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: Victoria, Jacob, Ella, Chloe, and Olivia. Victoria remarked, \"if ((Ella is a villain if and only if Jacob is a villain) if and only if (Chloe is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lyin...
{"split": "train", "index": 18667}
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, Isabella, Harper, Charlotte, and Olivia. Ella told you that Olivia is a pioneer. \"it is not the case that ((Olivia is a laggard) and (Is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 4]]]], [\"and\", [\"lying\", 3],...
{"split": "train", "index": 18668}
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: Lily, Zoey, Harper, Aurora, and Joseph. \"it is not the case that (it is not the case that (Zoey is a fool)),\" Lily mentioned. \"((Harper is a sage) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>...
{"split": "train", "index": 18669}
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: Chloe, Olivia, Evelyn, Logan, and Avery. \"(Evelyn is a hero and (if Olivia is a villain then Olivia is a hero)) or (Olivia is a hero and Evelyn is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\...
{"split": "train", "index": 18670}
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: Logan, Chloe, Sofia, Matthew, and Riley. In a statement by Logan: \"if (Riley is an egoist or (Chloe is an egoist or Sofia is an egoist or Rile...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]],...
{"split": "train", "index": 18671}
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: Alexander, Chloe, Zoey, Liam, and Benjamin. \"(Chloe is an altruist) or ((Liam is an altruist if and only if Chloe is an altruist) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 4]], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"not\", [\"...
{"split": "train", "index": 18672}
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: Oliver, Chloe, Elizabeth, Zoey, and Grace. Oliver told you that if (it is not the case that (Chloe is a fool if and only if Oliver is a sage)) then Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"te...
{"split": "train", "index": 18673}
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: Jackson, Michael, Jacob, Zoey, and Scarlett. \"if ((Zoey is a knight or Jackson is a knight) or (Scarlett is a knight and Jacob is a knave and Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"lying\", 2], [\"not\", [\"lying\", 3]]]], [\"<=>...
{"split": "train", "index": 18674}
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: Logan, Mia, Charlotte, Isabella, and Emma. \"if ((Logan is a devil) and (Mia is an angel if and only if Charlotte is a devil) and (Mia is an angel and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [\"te...
{"split": "train", "index": 18675}
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, Samuel, Ethan, David, and Aiden. Harper noted, \"if ((Samuel is a hero) and (Harper is a hero if and only if Ethan is a villain)) then (it is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"and\", [\"or\", [\"and\", [\"lying\", 0]...
{"split": "train", "index": 18676}
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: Joseph, Mia, Ethan, Alexander, and Scarlett. Joseph stated, \"if (it is not the case that (if Scarlett is a fool then Alexander is a fool)) then (Scarlett ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], ...
{"split": "train", "index": 18677}
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: Sophia, Olivia, Oliver, Aurora, and Aria. In a statement by Sophia: \"Aria is an angel and ((Olivia is an angel) or (Olivia is a devil or Aria is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 4]]]], [\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3]], [\"...
{"split": "train", "index": 18678}
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: Jack, Penelope, Aiden, Oliver, and Isabella. In Jack's words: \"if (if (Isabella is a laggard if and only if Aiden is a pioneer) then Isabella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"...
{"split": "train", "index": 18679}
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: Mia, Emily, Daniel, Abigail, and Alexander. \"((Emily is a hero or Emily is a villain or Alexander is a hero or Abigail is a hero) and (Abigail is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 0], [\"telling-tr...
{"split": "train", "index": 18680}
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: Amelia, Chloe, David, Michael, and Owen. Amelia expressed that if ((Chloe is a villain or David is a hero) if and only if (Chloe is a hero)) then ((O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-tr...
{"split": "train", "index": 18681}
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, William, Mason, Michael, and Penelope. According to David, \"it is not the case that ((Penelope is a knave if and only if Michael is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]]]], [\"->\", [\"->\", [\"lying\", 4], [\"<=>\", [\"lying\", 0], [\"lyi...
{"split": "train", "index": 18682}
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, Victoria, Emily, Ella, and Ava. \"if Ella is an altruist then ((Emily is an altruist and Emily is an egoist) if and only if (Emma is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"and\", [\"lyi...
{"split": "train", "index": 18683}
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: Jacob, Aiden, Zoey, Benjamin, and Alexander. \"((if Jacob is a knight then Alexander is a knight) if and only if (Alexander is a knave and Aiden is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telli...
{"split": "train", "index": 18684}
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: Aurora, Jack, William, Sophia, and Scarlett. Aurora told you that if ((Jack is a villain or Sophia is a villain or William is a hero or Aurora is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1],...
{"split": "train", "index": 18685}
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: Aiden, Michael, Daniel, Lucas, and Victoria. According to Aiden, \"it is not the case that ((if Lucas is a fool then Michael is a fool) if and only if (Vic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]]], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"or\", [\"->\", [\"telling-trut...
{"split": "train", "index": 18686}
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: Henry, Michael, Harper, Aurora, and Ella. Henry was heard saying, \"Michael is a knave or ((Harper is a knave) and (Aurora is a knave and Michael is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"or\", [\"lying\", 1], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"tel...
{"split": "train", "index": 18687}
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: Jack, Elizabeth, James, Aiden, and Mason. Jack asserted: \"((if Aiden is a knight then Elizabeth is a knave) if and only if (Mason is a knight or Eli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\...
{"split": "train", "index": 18688}
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, Matthew, Olivia, Victoria, and Evelyn. David stated, \"Evelyn is a knave\". According to Matthew, \"David is a knave\". Olivia noted, \"David ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"lying\", 4], [\"lying\", 0], [\"or\", [\"lying\", 0], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 18689}
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, Henry, James, David, and Samuel. \"it is not the case that ((if Samuel is a laggard then David is a laggard) and (David is a laggard or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], ...
{"split": "train", "index": 18690}
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: Grace, Matthew, Isabella, Victoria, and Henry. \"Grace is a saint,\" Grace claimed. Matthew remarked, \"((if Victoria is a saint then Henry is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [...
{"split": "train", "index": 18691}
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: Aria, Ethan, Aiden, Jacob, and Grace. \"((Aria is an altruist and Jacob is an egoist and Aiden is an egoist and Ethan is an altruist) and (Aide...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"te...
{"split": "train", "index": 18692}
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: Mia, Jack, Noah, Ava, and Emma. Mia stated, \"(it is not the case that (Ava is a villain or Mia is a hero or Emma is a hero or Ava is a hero)) or ((M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"lying\", 1]], [\"not\"...
{"split": "train", "index": 18693}
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, Emma, Chloe, Olivia, and Aiden. \"it is not the case that (it is not the case that (Olivia is a pioneer or Olivia is a laggard or Aide...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\...
{"split": "train", "index": 18694}
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, Mia, William, Daniel, and Jacob. Grace asserted: \"(William is an egoist if and only if Daniel is an egoist) and William is an egoist an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 3], [...
{"split": "train", "index": 18695}
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, Owen, Emily, Michael, and Jack. Mia stated, \"(Michael is an angel and Michael is a devil and (Owen is a devil and Owen is an angel and Emily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"te...
{"split": "train", "index": 18696}
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: Owen, Ella, Isabella, Lucas, and Daniel. \"Lucas is a sinner,\" Owen claimed. Ella noted, \"Owen is a saint\". Isabella expressed that Owen is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 0], [\"not\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"<=>\", [\"tel...
{"split": "train", "index": 18697}
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, Jacob, Lucas, Aiden, and Matthew. As Owen put it, \"((if Lucas is a pioneer then Matthew is a laggard) if and only if (Aiden is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 4]], [\"not...
{"split": "train", "index": 18698}
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, Ethan, Victoria, Logan, and Aria. Zoey was heard saying, \"(it is not the case that (Aria is an altruist or Ethan is an egoist or Logan i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 1]]]], [\"not\", [\"l...
{"split": "train", "index": 18699}