data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
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, David, Evelyn, Logan, and Abigail. Luke remarked, \"David is a fool\". \"(Luke is a sage) and (if Luke is a fool then David is a sage) and (Luke is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"lying\", 1], [\"and\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\", [\"lyi... | {"split": "train", "index": 12000} |
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: Benjamin, Abigail, Jackson, Matthew, and Emma. \"Abigail is a sinner or (Benjamin is a saint and Matthew is a saint and Emma is a sinner and Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"or\", [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"ly... | {"split": "train", "index": 12001} |
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: Lily, David, Samuel, Ella, and Michael. As Lily put it, \"if (David is an angel if and only if Michael is a devil) then (Samuel is an angel if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"... | {"split": "train", "index": 12002} |
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, Jack, Lucas, David, and Benjamin. \"if David is a laggard then (Lucas is a pioneer or Lucas is a laggard or David is a laggard),\" Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 1]], [\"or\", [\"tell... | {"split": "train", "index": 12003} |
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, Ava, Logan, Samuel, and Sebastian. Henry asserted: \"(Sebastian is a knight and Logan is a knave and Henry is a knight) or (Ava is a knight or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\... | {"split": "train", "index": 12004} |
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, Ethan, Harper, and Riley. Chloe told you that (Ethan is a fool if and only if Riley is a sage) and (if Ethan is a sage then Harper is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]... | {"split": "train", "index": 12005} |
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, Emma, Ella, Noah, and Ava. According to Lily, \"Emma is a fool or (Lily is a sage or Ava is a fool or Ella is a fool) or (Noah is a fool and Ella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 12006} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emma, Ella, Michael, Amelia, and Benjamin. As Emma put it, \"Amelia is a saint\". Ella stated, \"it is not the case that (Michael is a sinner or Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 0]], [\"<=>\", [\"not\... | {"split": "train", "index": 12007} |
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: Matthew, Riley, Amelia, Daniel, and Penelope. As Matthew put it, \"Penelope is an altruist or (Penelope is an egoist) or (Daniel is an egoist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [... | {"split": "train", "index": 12008} |
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: Riley, Harper, Sebastian, Evelyn, and Lucas. Riley said that Harper is a saint. Harper commented, \"(Lucas is a saint if and only if Sebastian is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 12009} |
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: Sophia, Logan, Michael, Jacob, and Ethan. Sophia remarked, \"Ethan is a fool\". In Logan's words: \"(Ethan is a sage and Sophia is a sage and Sophia is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]... | {"split": "train", "index": 12010} |
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: Mia, Henry, Elizabeth, Sophia, and Riley. Mia said, \"(Riley is a pioneer and Riley is a laggard and Mia is a pioneer and Elizabeth is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\",... | {"split": "train", "index": 12011} |
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: Noah, Mason, Grace, Isabella, and Penelope. According to Noah, \"Isabella is a laggard\". Mason asserted: \"if (Isabella is a laggard) then (Is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 1... | {"split": "train", "index": 12012} |
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: Owen, Chloe, Grace, Scarlett, and Daniel. Owen remarked, \"Chloe is a knave\". Chloe remarked, \"Grace is a knight\". Grace remarked, \"(Chloe is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"lying\", 1], [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 4]], [... | {"split": "train", "index": 12013} |
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, Abigail, Aurora, Evelyn, and David. Jack told you that if Abigail is a saint then (Aurora is a sinner if and only if Aurora is a saint). Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\... | {"split": "train", "index": 12014} |
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, Isabella, Victoria, Aria, and Liam. In a statement by Riley: \"if (Liam is an angel or Aria is an angel or Isabella is an angel or Liam is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\... | {"split": "train", "index": 12015} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Lucas, Michael, Aria, and Samuel. Scarlett said, \"(Michael is a hero or Aria is a villain or Scarlett is a hero or Lucas is a hero) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2]]], [\"or... | {"split": "train", "index": 12016} |
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, Sofia, Ava, Emma, and Mia. Aurora was heard saying, \"(Ava is a saint and Sofia is a saint and Emma is a sinner and Emma is a saint) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\... | {"split": "train", "index": 12017} |
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, Riley, Charlotte, Aiden, and Olivia. In a statement by James: \"if (if Riley is an angel then Charlotte is a devil) then (Aiden is an angel and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 2], [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 2]]... | {"split": "train", "index": 12018} |
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: Emma, Ethan, Henry, Luke, and Olivia. Emma asserted: \"(Emma is a knight if and only if Henry is a knave) or (Ethan is a knight if and only if Olivia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 0], [\"not\",... | {"split": "train", "index": 12019} |
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, Harper, Aurora, Amelia, and Owen. Lucas expressed that (if Aurora is a knight then Owen is a knight) and (Harper is a knight and Owen is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"->... | {"split": "train", "index": 12020} |
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, Abigail, Henry, Noah, and Zoey. \"(Noah is a pioneer) if and only if (Grace is a pioneer or Zoey is a pioneer)\" - Grace. Abigail expres... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 12021} |
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, Logan, Riley, Scarlett, and Abigail. Mason stated, \"Riley is a pioneer if and only if (Scarlett is a laggard and Logan is a pioneer)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"lying\", 4... | {"split": "train", "index": 12022} |
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: Lily, Emily, Benjamin, Aria, and Daniel. In a statement by Lily: \"Aria is an altruist if and only if (Aria is an altruist or Lily is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", ... | {"split": "train", "index": 12023} |
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: Avery, Samuel, James, Mason, and Sophia. Avery commented, \"Sophia is a pioneer\". According to Samuel, \"(Mason is a laggard) or (Avery is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 12024} |
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: Jacob, James, Harper, Aiden, and Emma. Jacob was heard saying, \"(if James is a sinner then Jacob is a saint) if and only if (James is a sinner)\". I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\... | {"split": "train", "index": 12025} |
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: Ella, Harper, Zoey, Scarlett, and Riley. Ella said, \"(Harper is a sage if and only if Scarlett is a fool) if and only if (Zoey is a sage or Scarlett is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 12026} |
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, Samuel, Liam, Ella, and Elizabeth. Harper asserted: \"if (Harper is a knight if and only if Elizabeth is a knight) then Ella is a knave\". Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 3]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 12027} |
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: Luke, Elizabeth, Chloe, Oliver, and Lucas. \"Chloe is a sinner or (Lucas is a saint if and only if Chloe is a saint) or (if Chloe is a saint then Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\"... | {"split": "train", "index": 12028} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Harper, Aurora, Penelope, and Charlotte. According to Sofia, \"(Aurora is a devil or Harper is an angel or Charlotte is an angel or Aurora is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth... | {"split": "train", "index": 12029} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, Charlotte, Sofia, Olivia, and Lily. Jacob remarked, \"Lily is a sage\". \"(if Sofia is a fool then Olivia is a fool) if and only if (Jacob is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\... | {"split": "train", "index": 12030} |
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, Ella, Ethan, Victoria, and Emma. Harper stated, \"(Victoria is a hero) or (Emma is a hero if and only if Ethan is a villain) or (if Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"or\", [\"telling-truth\", 4], ... | {"split": "train", "index": 12031} |
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: Emily, Lily, Ella, Liam, and Luke. As Emily put it, \"Liam is an egoist\". \"Liam is an egoist,\" Lily claimed. Ella expressed that it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"lying\", 3], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 1], ... | {"split": "train", "index": 12032} |
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, Riley, Penelope, Amelia, and Sebastian. Benjamin said that Sebastian is an angel. Riley said, \"(if Penelope is a devil then Amelia is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or... | {"split": "train", "index": 12033} |
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, Alexander, Chloe, Ella, and Amelia. In Zoey's words: \"(if Amelia is a devil then Zoey is an angel) if and only if Alexander is a devil\". Alexan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 1]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 1], [\... | {"split": "train", "index": 12034} |
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: Joseph, Elizabeth, Liam, Lily, and Michael. \"it is not the case that (Liam is a sinner or Elizabeth is a saint or Lily is a sinner),\" Joseph claime... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3]]], [\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 0], [\"lyi... | {"split": "train", "index": 12035} |
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: Noah, Evelyn, Benjamin, Alexander, and Oliver. Noah told you that (Evelyn is a knight and Noah is a knight) and (Oliver is a knave if and only if Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\"... | {"split": "train", "index": 12036} |
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: Emma, Sofia, Daniel, Sebastian, and David. Emma told you that (David is a devil or Sebastian is a devil or Sofia is an angel) or (Sebastian is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"tellin... | {"split": "train", "index": 12037} |
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: Benjamin, Lucas, Sebastian, Emma, and Jacob. \"Sebastian is a villain,\" Benjamin claimed. Lucas said that (Emma is a villain if and only if Sebastia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"->\", [\"... | {"split": "train", "index": 12038} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Abigail, Aria, Joseph, and Alexander. Scarlett asserted: \"(Aria is a villain) and Alexander is a hero and (Abigail is a villain or Aria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"l... | {"split": "train", "index": 12039} |
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: Charlotte, Sebastian, Emily, Grace, and Emma. \"(Sebastian is a hero if and only if Sebastian is a villain) if and only if (Sebastian is a hero or Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\... | {"split": "train", "index": 12040} |
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: Victoria, Daniel, Chloe, Emma, and Riley. In Victoria's words: \"it is not the case that (Chloe is a sage or Riley is a fool or Victoria is a sage or Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"tellin... | {"split": "train", "index": 12041} |
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, Avery, James, Olivia, and Aria. Penelope remarked, \"(James is a hero) if and only if (if Aria is a villain then Avery is a villain)\". Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 12042} |
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: Jackson, Jacob, James, Sophia, and Isabella. According to Jackson, \"Jacob is a fool or (Sophia is a sage) or James is a fool or (Jacob is a fool and Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"or\", [\"lying\", 1], [\"not\", [\"lying\", 3]], [\"lying\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], ... | {"split": "train", "index": 12043} |
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: Oliver, Emily, Elizabeth, Liam, and Lucas. \"if Lucas is an egoist then (if Elizabeth is an altruist then Liam is an altruist),\" Oliver mentio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 12044} |
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, Logan, Ethan, Jacob, and Aiden. Luke commented, \"it is not the case that (Logan is a pioneer and Jacob is a pioneer and Aiden is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", ... | {"split": "train", "index": 12045} |
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: Charlotte, Owen, Avery, Olivia, and Alexander. In a statement by Charlotte: \"it is not the case that (if Avery is an angel then Owen is a devil)\". Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 0]... | {"split": "train", "index": 12046} |
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: Aria, Michael, Jackson, Noah, and Oliver. \"if (Michael is a laggard if and only if Jackson is a pioneer) then (Aria is a pioneer if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"lyi... | {"split": "train", "index": 12047} |
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, James, Jack, Benjamin, and Alexander. \"if (James is a villain) then (Michael is a hero or Alexander is a villain)\" - Michael. In James's w... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 0], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], ... | {"split": "train", "index": 12048} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Abigail, David, Aria, and Emma. Sofia commented, \"if (David is a laggard or David is a pioneer) then (David is a pioneer or Abigail is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 12049} |
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, Luke, Chloe, Penelope, and Noah. As William put it, \"(Penelope is a knave) or Penelope is a knight or (if William is a knight then Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 3]]... | {"split": "train", "index": 12050} |
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: Sophia, Olivia, Ella, Luke, and Avery. Sophia noted, \"Olivia is a sinner\". Olivia said that (Luke is a saint and Luke is a sinner) or (Sophia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 12051} |
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, Scarlett, Sebastian, Henry, and Jackson. Emily told you that Jackson is a laggard and Sebastian is a pioneer. In a statement by Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\",... | {"split": "train", "index": 12052} |
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, Abigail, Matthew, Emma, and Grace. \"Emma is an angel,\" James mentioned. \"(if James is a devil then Grace is a devil) or (Grace is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", ... | {"split": "train", "index": 12053} |
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: Sebastian, Amelia, Emma, Jackson, and Aurora. \"Jackson is a knight,\" Sebastian mentioned. Amelia remarked, \"(Aurora is a knight) and (if Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-tru... | {"split": "train", "index": 12054} |
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, Olivia, Oliver, Noah, and Luke. David said that Oliver is a devil. Olivia told you that Oliver is a devil. In a statement by Oliver: \"(Luke is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"lying\", 2], [\"lying\", 2], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lyin... | {"split": "train", "index": 12055} |
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: Aiden, Isabella, Emily, Lucas, and Noah. Aiden commented, \"it is not the case that (Isabella is a pioneer or Aiden is a pioneer or Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 0], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]]... | {"split": "train", "index": 12056} |
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: Liam, Jacob, Samuel, Evelyn, and Isabella. Liam told you that Evelyn is a pioneer if and only if (Evelyn is a pioneer or Evelyn is a laggard). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 12057} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Luke, David, Samuel, Sofia, and Aria. Luke asserted: \"if (Aria is a saint if and only if Sofia is a saint) then (if David is a saint then Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telli... | {"split": "train", "index": 12058} |
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, Emma, William, Ella, and Penelope. Samuel asserted: \"if (Samuel is a hero and Emma is a hero and Penelope is a villain) then (Ella is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"... | {"split": "train", "index": 12059} |
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, Jackson, Owen, Riley, and Alexander. \"(Owen is a hero or Matthew is a hero or Owen is a villain or Riley is a villain) or Owen is a hero or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 4], [\... | {"split": "train", "index": 12060} |
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: Noah, Scarlett, Daniel, Victoria, and Sofia. \"it is not the case that (if Sofia is a sinner then Victoria is a sinner)\" - Noah. \"(Noah is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]... | {"split": "train", "index": 12061} |
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, Harper, Evelyn, Victoria, and Ella. Matthew remarked, \"(Matthew is an angel and Ella is an angel) if and only if (Victoria is a devil if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"and\", [\"lying\", 0], [\"lying... | {"split": "train", "index": 12062} |
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, Charlotte, Harper, Emily, and Michael. Zoey asserted: \"(Michael is a sinner and Zoey is a saint) if and only if (Charlotte is a sinner)\". Cha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", ... | {"split": "train", "index": 12063} |
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, William, Ava, Abigail, and Lucas. In Jack's words: \"(William is a knight if and only if Ava is a knight) or (Lucas is a knight)\". \"(William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\... | {"split": "train", "index": 12064} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Jackson, Aria, Sebastian, and Noah. Charlotte stated, \"if (Aria is a laggard if and only if Jackson is a pioneer) then (Jackson is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 3]], [\"->\",... | {"split": "train", "index": 12065} |
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, Penelope, Ethan, Joseph, and Jack. As Aria put it, \"Joseph is an egoist if and only if (Penelope is an altruist and Joseph is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"<=>\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 12066} |
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: Jack, Henry, Emily, Isabella, and Avery. \"it is not the case that (Isabella is a hero if and only if Jack is a hero)\" - Jack. Henry said that (Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"te... | {"split": "train", "index": 12067} |
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: Henry, Mason, James, Daniel, and Sofia. Henry commented, \"Mason is a pioneer\". Mason commented, \"Sofia is a laggard\". James noted, \"(Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"not\", [\"lying\", 1]], [\"lying\", 4], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 1]]], [\"and\",... | {"split": "train", "index": 12068} |
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: Riley, Sophia, Oliver, Daniel, and David. In a statement by Riley: \"Daniel is a hero and (David is a hero or Sophia is a villain or Daniel is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 0]], [\... | {"split": "train", "index": 12069} |
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, Scarlett, Amelia, Evelyn, and Lily. Jackson noted, \"Scarlett is a knight\". \"(Amelia is a knave) or Jackson is a knight or (if Lily is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"not\", [\"lying\", 1]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], ... | {"split": "train", "index": 12070} |
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, Isabella, Amelia, Logan, and Noah. In Victoria's words: \"Logan is a hero\". Isabella told you that (Noah is a villain if and only if Logan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-trut... | {"split": "train", "index": 12071} |
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: Emma, Amelia, Lily, Jackson, and Samuel. Emma expressed that it is not the case that (Amelia is a devil and Jackson is a devil and Emma is an angel). A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"lying\", 1], [\"<=>\", [\"<=>\", [\... | {"split": "train", "index": 12072} |
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: Matthew, Isabella, Michael, Avery, and Lucas. Matthew told you that it is not the case that (Lucas is an egoist if and only if Matthew is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [... | {"split": "train", "index": 12073} |
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, Riley, Jacob, Zoey, and Elizabeth. Harper remarked, \"Zoey is a villain\". \"(Harper is a hero) and (Harper is a villain) and (Zoey is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\"... | {"split": "train", "index": 12074} |
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, Samuel, Jack, Michael, and Lucas. According to Logan, \"(Lucas is a fool or Samuel is a sage or Samuel is a fool) if and only if (Michael is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 12075} |
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: Abigail, Olivia, Elizabeth, Benjamin, and Henry. Abigail commented, \"(Elizabeth is an egoist) or (Olivia is an altruist)\". Olivia noted, \"El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"... | {"split": "train", "index": 12076} |
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: Daniel, Samuel, Chloe, Scarlett, and Elizabeth. As Daniel put it, \"Samuel is a knave\". Samuel told you that (Elizabeth is a knight) and (Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"lying\", 1], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], ... | {"split": "train", "index": 12077} |
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, Scarlett, Lily, Chloe, and Samuel. Lucas stated, \"(Lucas is a pioneer and Chloe is a laggard and Samuel is a pioneer and Samuel is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 4], [\"or\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 12078} |
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, Riley, Samuel, Abigail, and Ethan. \"if (Abigail is a sage) then (Riley is a fool if and only if Abigail is a sage),\" Chloe mentioned. As Riley put... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"lying\", 1], [\"... | {"split": "train", "index": 12079} |
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: Penelope, Luke, Emma, Henry, and Elizabeth. In Penelope's words: \"(Elizabeth is a devil or Elizabeth is an angel or Luke is a devil) or (Luke is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 12080} |
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: Aria, Liam, Riley, Lily, and Victoria. In a statement by Aria: \"(if Lily is a laggard then Liam is a laggard) or (Victoria is a laggard) or (V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], ... | {"split": "train", "index": 12081} |
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, Scarlett, Ethan, Jack, and Liam. Matthew noted, \"if (Scarlett is an angel if and only if Jack is a devil) then (Matthew is an angel and Jack ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 12082} |
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: Evelyn, Ella, Jackson, Avery, and Isabella. \"it is not the case that (Jackson is an egoist if and only if Isabella is an altruist),\" Evelyn d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"t... | {"split": "train", "index": 12083} |
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, Isabella, Ella, Emma, and Aria. As Alexander put it, \"if Ella is a laggard then (if Isabella is a laggard then Alexander is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"->\", [\"lying\", 2], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2], [\"lying\"... | {"split": "train", "index": 12084} |
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, Joseph, Ethan, Oliver, and Samuel. \"(if Joseph is an altruist then Ethan is an altruist) and (Ethan is an egoist if and only if Samuel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\... | {"split": "train", "index": 12085} |
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: Evelyn, Jackson, Luke, Aiden, and Jack. Evelyn told you that (if Luke is a devil then Evelyn is an angel) and (Jack is a devil) and Evelyn is an angel.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"and... | {"split": "train", "index": 12086} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Harper, Matthew, Sebastian, and Logan. Aurora asserted: \"it is not the case that (Logan is an altruist if and only if Logan is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-truth\", 2], [\"not\", [\"lying\", 4]], [\"or\... | {"split": "train", "index": 12087} |
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, Isabella, Abigail, Chloe, and David. Sophia asserted: \"if Isabella is a pioneer then (Abigail is a pioneer or Chloe is a laggard or Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", ... | {"split": "train", "index": 12088} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Jackson, Jacob, Riley, and Ava. According to Matthew, \"(if Riley is a saint then Jackson is a saint) or (Riley is a saint and Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [... | {"split": "train", "index": 12089} |
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, Evelyn, Aurora, Avery, and Aria. Liam told you that (Evelyn is an angel) if and only if Aria is an angel. \"if (Aria is a devil or Avery is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 12090} |
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: Oliver, Sophia, Ethan, Evelyn, and Riley. In Oliver's words: \"if (Sophia is an altruist and Evelyn is an altruist and Evelyn is an egoist and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 1]], [\"telling-truth\", 0], [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"or\",... | {"split": "train", "index": 12091} |
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: Owen, Elizabeth, Daniel, Aria, and Jacob. Owen told you that Daniel is an angel or (Aria is a devil or Daniel is a devil or Daniel is an angel or Owen ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-t... | {"split": "train", "index": 12092} |
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: Emma, David, Abigail, Sofia, and Benjamin. Emma told you that if (if Abigail is a villain then Benjamin is a villain) then (Abigail is a villain or S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 12093} |
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: Ethan, Mason, Owen, Harper, and Aurora. Ethan said, \"if (if Ethan is a saint then Mason is a saint) then (Ethan is a saint and Harper is a saint and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1], [\... | {"split": "train", "index": 12094} |
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, Luke, James, Aria, and Zoey. \"(Aria is a pioneer if and only if Zoey is a pioneer) or (Luke is a pioneer or James is a pioneer) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\... | {"split": "train", "index": 12095} |
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: Scarlett, Lucas, Sebastian, Luke, and Sophia. \"Lucas is a fool if and only if Lucas is a sage,\" Scarlett declared. Lucas asserted: \"(Luke is a sage or S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"... | {"split": "train", "index": 12096} |
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, Emily, Jacob, Jack, and Abigail. \"(if Jacob is a villain then Emily is a hero) or (Abigail is a hero and Jacob is a villain and Emily is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"->\", [\"telli... | {"split": "train", "index": 12097} |
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: Oliver, Luke, Logan, Sofia, and Jackson. In a statement by Oliver: \"(Sofia is an egoist) and Jackson is an egoist and (if Oliver is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 3], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\... | {"split": "train", "index": 12098} |
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: Ella, Michael, Elizabeth, Alexander, and Evelyn. Ella commented, \"it is not the case that (Evelyn is a fool if and only if Michael is a fool)\". Michael c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"lying\", 0], [\"->\", [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 12099} |
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