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 angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Emma, Riley, Grace, and Lily. \"((Emma is a devil if and only if Penelope is an angel) and (if Riley is an angel then Riley is a devil)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]]]], [\"not\", [... | {"split": "train", "index": 14000} |
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: Lily, Benjamin, Charlotte, Liam, and Matthew. Lily was heard saying, \"Liam is a hero\". In Benjamin's words: \"if (it is not the case that (if Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]]... | {"split": "train", "index": 14001} |
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, Jackson, Ava, Oliver, and Henry. Alexander asserted: \"((Oliver is a knave or Ava is a knave) if and only if (Oliver is a knave or Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]]... | {"split": "train", "index": 14002} |
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, Samuel, Jackson, Scarlett, and Mason. Victoria said that (it is not the case that (Samuel is a hero and Mason is a villain)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 2]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\... | {"split": "train", "index": 14003} |
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, Victoria, Sophia, Penelope, and Zoey. According to Abigail, \"(Zoey is a devil if and only if (Penelope is an angel or Victoria is a devil)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]... | {"split": "train", "index": 14004} |
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: Logan, Luke, Noah, Elizabeth, and Aiden. Logan told you that (Noah is a villain and (Logan is a villain)) or (if Noah is a villain then (if Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"and\", [\"lying\", 2], [\"not\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 14005} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Logan, Ella, Jack, and Scarlett. Ava noted, \"((Ella is a hero) if and only if (Scarlett is a hero)) and (it is not the case that (Jack is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"... | {"split": "train", "index": 14006} |
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: Amelia, Victoria, Isabella, Avery, and Jack. Amelia said that if ((Isabella is a devil) and (Victoria is an angel)) then ((if Amelia is an angel then V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"and\"... | {"split": "train", "index": 14007} |
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, Lily, Liam, Riley, and Zoey. Benjamin told you that Liam is an angel or (if (Lily is an angel) then (if Zoey is a devil then Lily is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [... | {"split": "train", "index": 14008} |
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, Isabella, Benjamin, Noah, and Lucas. James was heard saying, \"Noah is a laggard\". In Isabella's words: \"it is not the case that (Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"not\", [\"lying\", 2]], [\"or\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"lyin... | {"split": "train", "index": 14009} |
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, Noah, Jacob, Alexander, and Charlotte. In a statement by Riley: \"((Alexander is a sinner) or (Noah is a saint if and only if Jacob is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"or\", [\"and\", [\"lying\", 0], [\"not\", [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 14010} |
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: Jacob, Amelia, Benjamin, Emily, and Michael. Jacob was heard saying, \"((if Jacob is a pioneer then Michael is a laggard) and (Michael is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"<=>\", [\"... | {"split": "train", "index": 14011} |
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, Mia, Aiden, David, and Chloe. Avery said, \"if ((if Chloe is a knave then Aiden is a knave) and (if Mia is a knave then David is a knave)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"lying\", 4]]]], [\"or\", [\"or\", [\"->\", [\"t... | {"split": "train", "index": 14012} |
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, Owen, Abigail, Emma, and Daniel. In a statement by Chloe: \"Owen is a laggard if and only if (Owen is a laggard if and only if (if Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"lying\", 1], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 14013} |
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, William, James, Henry, and Michael. According to Penelope, \"it is not the case that ((Michael is a hero) and (William is a villain))\". Ac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]]], [\"telling-truth\", 4], [\"lying\", 1], [\"not\", [\"<=>\", [\"lying\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 14014} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Daniel, Grace, Jacob, and Aiden. \"Daniel is a laggard,\" Emma mentioned. \"(if (Aiden is a pioneer) then Jacob is a pioneer) or Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"lying\", 1], [\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"not\", [\"telling-tr... | {"split": "train", "index": 14015} |
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, Benjamin, James, Aria, and Joseph. Sofia asserted: \"it is not the case that ((Benjamin is an angel or Joseph is an angel) if and only if (James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"->\",... | {"split": "train", "index": 14016} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sophia, Mason, Riley, Benjamin, and Abigail. Sophia was heard saying, \"((if Mason is a hero then Mason is a villain) or (Mason is a hero and Abigail... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-tr... | {"split": "train", "index": 14017} |
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: Oliver, Scarlett, Emma, Lucas, and Mia. \"(it is not the case that (Scarlett is a villain and Mia is a villain)) if and only if (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\", [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 14018} |
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: Daniel, Evelyn, Aurora, Ella, and David. Daniel told you that (it is not the case that (Aurora is a sage if and only if Aurora is a fool)) or (if Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"not\", [\"and\", [\"and\", [\"lying\", 0], [\... | {"split": "train", "index": 14019} |
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, Mia, Benjamin, Abigail, and Penelope. According to Charlotte, \"Mia is a hero\". Mia was heard saying, \"it is not the case that (if (Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 1]... | {"split": "train", "index": 14020} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Sophia, Evelyn, Alexander, and David. Mason told you that (David is a knave if and only if (Sophia is a knight)) if and only if (if Sophia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"not\", [\"lying\", 1]]], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [... | {"split": "train", "index": 14021} |
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: Chloe, Grace, Daniel, Aria, and Owen. \"(Owen is a knight and (Daniel is a knave)) or ((if Owen is a knight then Daniel is a knight) and (if Aria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"and\", [\"... | {"split": "train", "index": 14022} |
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, Abigail, Aiden, Sophia, and Ava. Matthew asserted: \"((Ava is a villain) or Abigail is a villain) or (it is not the case that (Aiden is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 1]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 4]],... | {"split": "train", "index": 14023} |
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: Elizabeth, Aiden, Logan, Isabella, and Ethan. \"Aiden is a hero,\" Elizabeth declared. \"(if Elizabeth is a hero then (Ethan is a hero if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lyin... | {"split": "train", "index": 14024} |
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: Sofia, Jack, Ava, Zoey, and Mason. Sofia said, \"Mason is a saint.\" Jack told you that Zoey is a sinner. \"Ava is a saint or ((Sofia is a sinner or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"telling-truth\", 4], [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]]], [\"or\", [\"lying\", 0], [\"... | {"split": "train", "index": 14025} |
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, Liam, Joseph, Isabella, and Aiden. According to Charlotte, \"it is not the case that (if (Joseph is a devil if and only if Charlotte is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [... | {"split": "train", "index": 14026} |
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: Liam, Benjamin, Luke, Olivia, and Sofia. As Liam put it, \"Luke is a sinner\". Benjamin expressed that Liam is a sinner. Luke remarked, \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"lying\", 2], [\"lying\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 4]]]], [\"lying\"... | {"split": "train", "index": 14027} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Avery, Jacob, Zoey, and Alexander. \"(if (Zoey is a pioneer and Avery is a laggard) then (Jacob is a laggard)) or (if (Amelia is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4... | {"split": "train", "index": 14028} |
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, Sofia, William, Sophia, and Henry. \"Sophia is a pioneer,\" Aria mentioned. Sofia remarked, \"((Sofia is a pioneer if and only if Aria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 0]], [\"telling-tru... | {"split": "train", "index": 14029} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: David, Daniel, William, Penelope, and Aria. David noted, \"if (Penelope is a villain) then (if (Penelope is a villain and Aria is a villain) then (Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\",... | {"split": "train", "index": 14030} |
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, Benjamin, Olivia, Jacob, and James. \"James is an angel\" - Owen. According to Benjamin, \"(if (James is an angel if and only if Olivia is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"tel... | {"split": "train", "index": 14031} |
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, Ethan, Sofia, Oliver, and Amelia. Jackson noted, \"Sofia is a knight or ((Jackson is a knight and Oliver is a knight) if and only if (if Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"telling-truth\", 4], [\"not\", [\"not\", [\"or\", [\"te... | {"split": "train", "index": 14032} |
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: Daniel, Amelia, Aiden, Penelope, and Joseph. Daniel said, \"Penelope is a sinner.\" \"if (if (if Penelope is a sinner then Aiden is a saint) then Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"lying\", 3], [\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"or\", [\"lying\", 4], [\... | {"split": "train", "index": 14033} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Aria, Samuel, Jacob, and Grace. As Scarlett put it, \"it is not the case that (it is not the case that (Samuel is a laggard if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]]], [\"lying\... | {"split": "train", "index": 14034} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Evelyn, Sofia, Scarlett, and Charlotte. According to Olivia, \"Olivia is a saint\". \"(Scarlett is a sinner or (Evelyn is a saint and Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"lying\", 2]]], [\"->\", ... | {"split": "train", "index": 14035} |
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: Avery, Evelyn, Henry, Ava, and Scarlett. Avery remarked, \"(Henry is an angel) or ((if Avery is an angel then Ava is a devil) and (Scarlett is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 14036} |
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: Riley, Oliver, Liam, David, and Amelia. \"Liam is a fool if and only if ((Amelia is a sage and Oliver is a sage) and Amelia is a fool),\" Riley declared. O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 4]]], [\"telling-truth\", 0], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]... | {"split": "train", "index": 14037} |
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, Mia, Emily, Benjamin, and Scarlett. In a statement by William: \"Mia is a knave\". Mia asserted: \"(if (William is a knave and Emily is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"lying\", 1], [\"or\", [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 4]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"t... | {"split": "train", "index": 14038} |
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: William, David, Emma, Charlotte, and Jacob. William told you that ((if Emma is a laggard then Emma is a pioneer) or (if William is a pioneer th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]]],... | {"split": "train", "index": 14039} |
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, Daniel, Charlotte, Mia, and Zoey. Owen said, \"((Owen is a knight and Daniel is a knight) if and only if (Charlotte is a knave)) and (Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"... | {"split": "train", "index": 14040} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Joseph, Aria, Alexander, and Jackson. Oliver stated, \"it is not the case that (it is not the case that (Alexander is a sinner if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [... | {"split": "train", "index": 14041} |
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: Emily, Olivia, Chloe, Penelope, and Jackson. Emily expressed that (Chloe is a sinner) or ((Olivia is a sinner or Emily is a saint) and (Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 2], [\"... | {"split": "train", "index": 14042} |
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, Jackson, Amelia, Henry, and Mason. \"Amelia is a villain and ((Jackson is a hero) if and only if (Mason is a hero))\" - Mia. \"Mason is a hero,\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 4]]]], [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], ... | {"split": "train", "index": 14043} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Evelyn, Chloe, Samuel, and Aiden. \"(if (Samuel is a knave and Aiden is a knight) then (Chloe is a knave or Samuel is a knight)) or (if (Zoey i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-tru... | {"split": "train", "index": 14044} |
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: Avery, Mia, Isabella, Owen, and Liam. \"it is not the case that (it is not the case that (Liam is a saint or Liam is a sinner)),\" Avery mentioned. \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"or\", [\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\",... | {"split": "train", "index": 14045} |
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, Abigail, Harper, Olivia, and Evelyn. Owen said that if (Olivia is an altruist and (Olivia is an egoist if and only if Evelyn is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]]... | {"split": "train", "index": 14046} |
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, Evelyn, Luke, Charlotte, and Ethan. Samuel asserted: \"it is not the case that (if (Ethan is a saint and Luke is a sinner) then Luke is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"not\", [\"or\",... | {"split": "train", "index": 14047} |
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: Daniel, Penelope, Sofia, Samuel, and David. Daniel told you that (if (Sofia is an altruist or David is an altruist) then (Sofia is an egoist if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1]... | {"split": "train", "index": 14048} |
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, Sofia, Aiden, Evelyn, and Ava. Ethan remarked, \"((Evelyn is a saint) or (Sofia is a sinner or Ava is a saint)) or ((if Evelyn is a sinner the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]... | {"split": "train", "index": 14049} |
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: Isabella, Evelyn, Aurora, Chloe, and Scarlett. \"(if (Aurora is a villain if and only if Scarlett is a villain) then (Aurora is a hero and Chloe is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 14050} |
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: Riley, David, Samuel, Logan, and Harper. \"it is not the case that (Samuel is a sage if and only if (Harper is a sage or Logan is a fool))\" - Riley. David... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 4... | {"split": "train", "index": 14051} |
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: Harper, Elizabeth, Penelope, Victoria, and Samuel. \"Samuel is a fool\" - Harper. In a statement by Elizabeth: \"((Harper is a fool) or (Penelope is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 2]], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"or\", [\"->\", [\"and\... | {"split": "train", "index": 14052} |
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, Charlotte, Mia, Victoria, and Benjamin. In Aurora's words: \"it is not the case that ((Benjamin is a villain and Mia is a hero) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4... | {"split": "train", "index": 14053} |
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: Isabella, Emma, James, Chloe, and Sophia. Isabella said, \"(James is a knave if and only if (Sophia is a knight or Emma is a knave)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"lying\", 3... | {"split": "train", "index": 14054} |
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: Avery, Ethan, Victoria, Emma, and Jackson. \"(it is not the case that (Emma is a villain or Jackson is a villain)) and ((Ethan is a hero or Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"lying\", 0], [\"->\", [\"... | {"split": "train", "index": 14055} |
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, Jack, Penelope, James, and Grace. \"((Grace is an egoist if and only if James is an altruist) and (Penelope is an altruist and Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"<=>\", ... | {"split": "train", "index": 14056} |
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, Olivia, Riley, Daniel, and Elizabeth. Penelope stated, \"((Elizabeth is a laggard and Daniel is a laggard) or (if Riley is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 14057} |
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: Charlotte, Michael, Mia, Penelope, and Lily. As Charlotte put it, \"(it is not the case that (Penelope is an altruist)) or (if (Mia is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"and\", [\"lying\", 3],... | {"split": "train", "index": 14058} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Jack, Sofia, Owen, and Joseph. Logan was heard saying, \"Owen is a knave\". Jack told you that if (it is not the case that (Sofia is a knave))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 2]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], ... | {"split": "train", "index": 14059} |
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: Samuel, Aiden, Jackson, Joseph, and Oliver. \"Aiden is an angel\" - Samuel. Aiden commented, \"if ((Aiden is an angel and Joseph is an angel) or (Josep... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telli... | {"split": "train", "index": 14060} |
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: Aiden, Penelope, James, Mia, and Matthew. Aiden told you that it is not the case that (if (Penelope is a hero if and only if Matthew is a villain) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"and\", [\"telling-t... | {"split": "train", "index": 14061} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ava, Aria, Penelope, Matthew, and Sofia. Ava remarked, \"it is not the case that ((Ava is a sinner) if and only if (Matthew is a saint))\". \"(Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [... | {"split": "train", "index": 14062} |
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, Joseph, Lucas, Jack, and Liam. \"if ((Joseph is an angel or Liam is an angel) or Lucas is a devil) then (Jack is an angel or Lucas is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"or\", ... | {"split": "train", "index": 14063} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Abigail, Luke, Logan, James, and Harper. Abigail told you that Harper is a laggard. Luke commented, \"if Luke is a pioneer then ((Logan is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [... | {"split": "train", "index": 14064} |
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: Lucas, Jackson, Luke, Zoey, and Mia. Lucas commented, \"Lucas is a saint and ((Lucas is a saint or Luke is a sinner) and (Zoey is a saint if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 14065} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Abigail, Chloe, Aria, and David. Ava expressed that (Aria is a hero or Abigail is a villain) or Ava is a hero. Abigail expressed that it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 0]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"l... | {"split": "train", "index": 14066} |
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: Sebastian, Jackson, Aurora, Michael, and Noah. Sebastian told you that ((Michael is a sage) and (Aurora is a sage or Aurora is a fool)) if and only if ((Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]]], ... | {"split": "train", "index": 14067} |
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, Aiden, Sophia, Ethan, and Elizabeth. In Logan's words: \"if ((Aiden is a sage) and (Ethan is a sage)) then (it is not the case that (Elizabeth is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"telling-truth\", 3], [\"not\", [\"->\", [\"lyin... | {"split": "train", "index": 14068} |
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, Owen, Matthew, Emily, and Joseph. In Sophia's words: \"Owen is a devil\". In Owen's words: \"Joseph is a devil\". Matthew stated, \"(it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"lying\", 1], [\"lying\", 4], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 14069} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Grace, Jack, Aiden, and Aurora. \"(it is not the case that (Aiden is a sage or Aurora is a fool)) and ((Jack is a sage and Ava is a sage) or (Aiden is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\... | {"split": "train", "index": 14070} |
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, Jack, Liam, Isabella, and David. According to Aiden, \"Liam is a laggard\". \"if ((Isabella is a pioneer or Liam is a pioneer) and (Davi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 0]], [\"lying\", 1], [\"lying\", 0], [\"or\", [... | {"split": "train", "index": 14071} |
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: Riley, Sophia, David, Ella, and Abigail. Riley said that ((Sophia is a knight if and only if Abigail is a knight) and (Sophia is a knight and Abigail... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"t... | {"split": "train", "index": 14072} |
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, Aria, Emma, Zoey, and Jackson. Noah asserted: \"((Emma is a laggard if and only if Zoey is a laggard) or (Emma is a pioneer or Zoey is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"and\", [... | {"split": "train", "index": 14073} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, James, Victoria, Owen, and Riley. Ava told you that it is not the case that ((if Victoria is a villain then Ava is a hero) and Victoria is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 2]]], [\"lying\", 3], [\"not\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-tru... | {"split": "train", "index": 14074} |
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, Daniel, Emma, Logan, and Amelia. As Oliver put it, \"((Daniel is a laggard or Logan is a laggard) or (if Daniel is a laggard then Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"... | {"split": "train", "index": 14075} |
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, Riley, Emma, Mia, and Joseph. Zoey was heard saying, \"(it is not the case that (Emma is a hero)) and ((Emma is a villain or Zoey is a hero) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"not\", [\"not\", [\"telling-tru... | {"split": "train", "index": 14076} |
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: Charlotte, Owen, Mia, Lucas, and Sebastian. Charlotte remarked, \"Mia is an egoist\". Owen expressed that (it is not the case that (Mia is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"lying\", 2], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [... | {"split": "train", "index": 14077} |
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, Harper, Emily, Henry, and Ava. Jack said that Henry is a pioneer. In Harper's words: \"((Emily is a pioneer) or (Henry is a pioneer if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]], [\"lying\", 1],... | {"split": "train", "index": 14078} |
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: Ella, Abigail, Riley, Joseph, and Liam. Ella stated, \"if ((if Ella is an angel then Riley is a devil) and (Riley is an angel or Liam is an angel)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 1]], [\"lying\", 4], [\"->\", [\"or\", [\"not\", [\"tell... | {"split": "train", "index": 14079} |
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, Riley, Michael, Emily, and Oliver. \"(if (Michael is a laggard if and only if Riley is a pioneer) then (Oliver is a pioneer)) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\",... | {"split": "train", "index": 14080} |
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: Mason, Aria, Owen, Noah, and Sophia. Mason expressed that Noah is a devil. Aria was heard saying, \"((Noah is an angel or Sophia is a devil) or (Noah i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]... | {"split": "train", "index": 14081} |
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, Isabella, Chloe, Alexander, and Emily. Harper remarked, \"(Emily is a knight if and only if (Harper is a knight if and only if Emily is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 2]]], [\"and\", [\"or\", [\"... | {"split": "train", "index": 14082} |
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: Charlotte, David, Benjamin, William, and Amelia. Charlotte said that ((David is an altruist or Benjamin is an altruist) if and only if William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"a... | {"split": "train", "index": 14083} |
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, James, Mia, Lily, and Oliver. \"if (it is not the case that (Oliver is a saint or Lily is a saint)) then (it is not the case that (James is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 14084} |
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: Isabella, Sophia, Emily, Ella, and Mason. Isabella remarked, \"if ((Ella is a villain or Ella is a hero) and Emily is a villain) then (if (Isabella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 2]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]]], [\"->\", [\"<=>\", [\"... | {"split": "train", "index": 14085} |
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, Jacob, Alexander, Aiden, and Samuel. Lily asserted: \"Aiden is an egoist\". Jacob said, \"((Alexander is an egoist or Lily is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"lying\", 3], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [... | {"split": "train", "index": 14086} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Zoey, Lucas, Noah, and Chloe. As Scarlett put it, \"it is not the case that (Scarlett is a laggard)\". Zoey said that if (Chloe is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 14087} |
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: Henry, Ethan, Grace, Emily, and Luke. Henry expressed that if Emily is an egoist then Henry is an altruist. In Ethan's words: \"((if Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]],... | {"split": "train", "index": 14088} |
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: Emily, Amelia, Aria, Noah, and Emma. Emily was heard saying, \"Aria is a saint if and only if (it is not the case that (Noah is a saint and Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"telling-truth\", 4], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"te... | {"split": "train", "index": 14089} |
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, Aurora, Abigail, Logan, and Luke. In a statement by Chloe: \"if Aurora is a devil then Luke is a devil\". Aurora commented, \"(if (Chloe is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"->\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 3]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and... | {"split": "train", "index": 14090} |
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: Isabella, Ethan, Joseph, Samuel, and Penelope. Isabella commented, \"Samuel is a knave\". Ethan was heard saying, \"if Penelope is a knight then (Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [... | {"split": "train", "index": 14091} |
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: Logan, Jackson, Grace, Michael, and Harper. Logan noted, \"Harper is a villain\". \"(if (Jackson is a hero and Grace is a villain) then (Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"... | {"split": "train", "index": 14092} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Joseph, Michael, Charlotte, Penelope, and Ella. Joseph said, \"((Charlotte is a pioneer) or (if Penelope is a laggard then Michael is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 14093} |
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: Harper, Ethan, Sofia, Amelia, and Mason. \"it is not the case that (Amelia is a sage if and only if (if Amelia is a sage then Ethan is a fool)),\" Harper d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [... | {"split": "train", "index": 14094} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Daniel, Zoey, Luke, and Liam. \"(Daniel is a knave if and only if (Luke is a knight or Luke is a knave)) or ((Daniel is a knight or William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\... | {"split": "train", "index": 14095} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Noah, Liam, Sophia, Ethan, and Lily. Noah asserted: \"Lily is an egoist\". Liam stated, \"(if (Ethan is an egoist) then Ethan is an egoist) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 3]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\... | {"split": "train", "index": 14096} |
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, Samuel, Emma, Olivia, and Aiden. David remarked, \"Aiden is a knight and (if (if Aiden is a knight then Samuel is a knight) then (Emma is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"->\"... | {"split": "train", "index": 14097} |
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, Emma, Ella, Michael, and Olivia. In Riley's words: \"(Ella is a hero and (Michael is a villain)) or ((Michael is a villain if and only if Rile... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"and\... | {"split": "train", "index": 14098} |
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, Emily, Elizabeth, Lucas, and Mason. Riley stated, \"if (Mason is a saint) then Lucas is a saint\". Emily remarked, \"if ((Riley is a saint and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-tr... | {"split": "train", "index": 14099} |
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