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 pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Victoria, Liam, Joseph, and Chloe. Jackson remarked, \"(Joseph is a laggard) and (if Joseph is a laggard then Chloe is a pioneer) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"-... | {"split": "train", "index": 12200} |
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: Samuel, David, Sebastian, Ella, and Victoria. \"David is a pioneer,\" Samuel claimed. David said, \"if (Sebastian is a laggard) then (Ella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 0]... | {"split": "train", "index": 12201} |
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, Logan, Olivia, James, and Samuel. \"(James is an egoist and Olivia is an altruist and Samuel is an altruist and Olivia is an egoist) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [... | {"split": "train", "index": 12202} |
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: Ethan, Chloe, Lucas, Ella, and Sofia. In Ethan's words: \"it is not the case that (if Ella is a knave then Lucas is a knave)\". Chloe noted, \"(if So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 4... | {"split": "train", "index": 12203} |
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, Mason, Sebastian, Alexander, and David. \"(Mason is a sinner if and only if David is a saint) or David is a saint or David is a sinner or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"lying\", 4], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"lying\", 2], [\"or\", [\"lying\", 0], [\"telling... | {"split": "train", "index": 12204} |
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: Benjamin, Amelia, Ava, Grace, and Owen. As Benjamin put it, \"(Amelia is a knave if and only if Grace is a knight) if and only if (Grace is a knave o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"<... | {"split": "train", "index": 12205} |
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, Evelyn, Joseph, Penelope, and Lucas. \"(Aria is an egoist) if and only if (Lucas is an altruist),\" Aria claimed. Evelyn said that it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\... | {"split": "train", "index": 12206} |
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, Grace, Ava, Logan, and Victoria. Daniel expressed that Ava is a pioneer. Grace said that (Daniel is a pioneer and Victoria is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"t... | {"split": "train", "index": 12207} |
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: Ella, Scarlett, Sophia, Aurora, and Ethan. \"(Ethan is a knave or Scarlett is a knave or Sophia is a knave) and (Aurora is a knave) and (if Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]],... | {"split": "train", "index": 12208} |
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, Logan, Emily, Elizabeth, and Sebastian. Jacob expressed that (Emily is a pioneer and Elizabeth is a pioneer) and (Jacob is a pioneer and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"lying\", 4], [\"and\",... | {"split": "train", "index": 12209} |
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, Joseph, Sebastian, Aria, and Noah. Daniel commented, \"if (Joseph is a saint and Sebastian is a saint and Noah is a sinner and Aria is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 12210} |
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, Noah, Lily, Emily, and Benjamin. \"it is not the case that (Emily is a knave or Lily is a knight),\" Owen declared. Noah told you that (Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"l... | {"split": "train", "index": 12211} |
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, Aria, Grace, Isabella, and Evelyn. Charlotte noted, \"(Aria is an angel if and only if Grace is a devil) and Charlotte is an angel\". Aria s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-t... | {"split": "train", "index": 12212} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Isabella, Jack, Olivia, and Sofia. \"(Olivia is a fool and Sofia is a sage and Jack is a sage) if and only if (Oliver is a sage or Isabella is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\"... | {"split": "train", "index": 12213} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Mia, James, Olivia, and Noah. In a statement by Ethan: \"(Noah is a pioneer or Noah is a laggard or Mia is a laggard or Mia is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 12214} |
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, Daniel, Harper, Jack, and Mason. Joseph remarked, \"(Harper is a laggard or Harper is a pioneer or Mason is a laggard or Daniel is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\",... | {"split": "train", "index": 12215} |
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: Sebastian, Victoria, Logan, Michael, and Aurora. In Sebastian's words: \"(Logan is a laggard or Aurora is a laggard or Aurora is a pioneer or M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 12216} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lucas, Ava, Charlotte, Riley, and Liam. \"Riley is a hero if and only if (Liam is a villain or Riley is a villain),\" Lucas declared. Ava noted, \"(L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"tell... | {"split": "train", "index": 12217} |
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, Michael, Benjamin, Jacob, and Sofia. Logan told you that Benjamin is a fool or (Jacob is a fool if and only if Michael is a fool) or Michael is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 1], [\"not\", [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 12218} |
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: Noah, Luke, Isabella, Victoria, and Joseph. In a statement by Noah: \"Noah is a hero\". Luke remarked, \"if Joseph is a villain then (Luke is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", ... | {"split": "train", "index": 12219} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Henry, Lily, Elizabeth, Luke, and Emma. \"(Lily is a saint and Emma is a sinner) if and only if (Elizabeth is a sinner if and only if Luke is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not... | {"split": "train", "index": 12220} |
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, Owen, Elizabeth, and Amelia. Ava asserted: \"Owen is a fool or (Owen is a sage if and only if Grace is a sage) or (Grace is a fool) or (Amelia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"or\",... | {"split": "train", "index": 12221} |
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: David, Matthew, Noah, Isabella, and Riley. \"if (Matthew is a fool and Riley is a fool and Noah is a sage) then (David is a sage or Riley is a sage or Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1110, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 12222} |
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: James, Lily, Olivia, Chloe, and Alexander. James asserted: \"(James is a saint if and only if Lily is a sinner) if and only if (Alexander is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1111, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"ly... | {"split": "train", "index": 12223} |
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, Luke, Henry, Evelyn, and Liam. Riley remarked, \"(Henry is a devil) if and only if (Evelyn is a devil if and only if Luke is a devil)\". Accordi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1112, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"l... | {"split": "train", "index": 12224} |
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, David, Oliver, Evelyn, and Liam. Noah said, \"Evelyn is a pioneer.\" \"Evelyn is a laggard,\" David declared. Oliver was heard saying, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1113, \"statements\": [[\"telling-truth\", 3], [\"lying\", 3], [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 1]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 1],... | {"split": "train", "index": 12225} |
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: Sofia, Penelope, Grace, David, and Jacob. Sofia said that it is not the case that (David is an egoist). Penelope commented, \"Sofia is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1114, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 0], [\"->\"... | {"split": "train", "index": 12226} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Scarlett, Aiden, Logan, Aurora, and Benjamin. Scarlett asserted: \"(Logan is an angel) or (Logan is a devil if and only if Aurora is an angel) or (Aide... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1115, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and... | {"split": "train", "index": 12227} |
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, Liam, Aurora, Charlotte, and Sofia. Amelia expressed that it is not the case that (Amelia is a pioneer or Charlotte is a laggard or Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1116, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 0... | {"split": "train", "index": 12228} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Oliver, Benjamin, Jacob, and Daniel. Amelia told you that it is not the case that (if Benjamin is a villain then Oliver is a villain). Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1117, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lyin... | {"split": "train", "index": 12229} |
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: Ava, Aurora, Samuel, Evelyn, and Victoria. Ava expressed that (Ava is a knight or Aurora is a knight) and (Ava is a knight and Evelyn is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1118, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\",... | {"split": "train", "index": 12230} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Benjamin, Ethan, Elizabeth, and Matthew. Zoey said, \"(if Benjamin is a laggard then Elizabeth is a pioneer) or (Matthew is a laggard or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1119, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or... | {"split": "train", "index": 12231} |
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: Jacob, Avery, Liam, Emily, and Sophia. \"(if Emily is an angel then Sophia is an angel) and (Avery is an angel) and (if Emily is a devil then Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1120, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"tel... | {"split": "train", "index": 12232} |
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: Isabella, Lily, Jacob, Sofia, and Oliver. Isabella remarked, \"Sofia is a saint if and only if (if Isabella is a saint then Sofia is a sinner)\". Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1121, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\"... | {"split": "train", "index": 12233} |
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, Emily, Avery, Joseph, and Matthew. As Lucas put it, \"(Emily is a saint and Avery is a sinner and Matthew is a sinner) and (Joseph is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 0], ... | {"split": "train", "index": 12234} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Avery, Olivia, Chloe, Elizabeth, and Ava. \"it is not the case that (Elizabeth is an altruist)\" - Avery. Olivia expressed that Chloe is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"not\", [\"lying\", 0]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"and\", ... | {"split": "train", "index": 12235} |
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: Jack, Liam, Emily, Ella, and Sofia. In Jack's words: \"(Ella is a devil or Sofia is a devil or Jack is an angel or Liam is an angel) and (Liam is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]], [\"lying\", 2], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth... | {"split": "train", "index": 12236} |
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: Benjamin, Alexander, Lily, Sofia, and Aiden. \"(if Lily is an altruist then Sofia is an egoist) and (Alexander is an altruist),\" Benjamin clai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"tel... | {"split": "train", "index": 12237} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Olivia, Ella, Samuel, James, and Harper. Olivia remarked, \"it is not the case that (Samuel is a devil or Ella is a devil or James is an angel or Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 3], [\"... | {"split": "train", "index": 12238} |
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, Avery, Elizabeth, Isabella, and Harper. \"if (Isabella is a devil if and only if Isabella is an angel) then (Isabella is a devil),\" Emma claimed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2], [\"telling-t... | {"split": "train", "index": 12239} |
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, Victoria, Lucas, James, and Jacob. Samuel was heard saying, \"Lucas is a villain\". \"(Victoria is a hero and Jacob is a villain) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 1], [\"<=>\", [\"->\... | {"split": "train", "index": 12240} |
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: Evelyn, Luke, Lucas, Ethan, and James. Evelyn asserted: \"(Luke is a saint if and only if Lucas is a sinner) and (Lucas is a sinner or Ethan is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"lying\", 0], [\"not\", [\"te... | {"split": "train", "index": 12241} |
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, Mia, Alexander, Amelia, and Samuel. \"(Amelia is a pioneer or Samuel is a pioneer) and Mia is a pioneer and (if Samuel is a laggard then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"lying\"... | {"split": "train", "index": 12242} |
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: Mia, Victoria, Olivia, Abigail, and Penelope. As Mia put it, \"Abigail is an egoist\". \"(Olivia is an altruist) and (if Abigail is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or... | {"split": "train", "index": 12243} |
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: Ava, Victoria, Harper, Luke, and Avery. Ava was heard saying, \"if (if Victoria is a laggard then Ava is a pioneer) then (Harper is a laggard)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 4], [\"tel... | {"split": "train", "index": 12244} |
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: Ava, Avery, Grace, Lucas, and Charlotte. Ava commented, \"(if Ava is an angel then Avery is a devil) or (Grace is an angel)\". Avery expressed that it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"telling-truth\"... | {"split": "train", "index": 12245} |
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, Alexander, Michael, Lucas, and Aria. Henry remarked, \"it is not the case that (Alexander is an altruist or Lucas is an altruist or Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 4... | {"split": "train", "index": 12246} |
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, Evelyn, Aurora, Sofia, and Charlotte. In Ella's words: \"it is not the case that (Sofia is a fool)\". According to Evelyn, \"Aurora is a fool and Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", ... | {"split": "train", "index": 12247} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Alexander, Mia, Matthew, Zoey, and Noah. Alexander was heard saying, \"(Noah is a fool) if and only if (Matthew is a fool or Noah is a fool or Mia is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"and\", [\"not\", [\"telling-truth\", 0]]... | {"split": "train", "index": 12248} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, David, Michael, Jackson, and Chloe. Mason expressed that David is a villain. \"if Chloe is a hero then (Jackson is a hero or Jackson is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4], [\"lying\", 0]]], [\"lying\", 1], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-t... | {"split": "train", "index": 12249} |
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, Sebastian, Jacob, Ava, and Emily. \"Riley is a hero or (if Jacob is a villain then Emily is a villain) or (Ava is a hero if and only if Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 0]], ... | {"split": "train", "index": 12250} |
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: Aiden, Sophia, Aurora, Ava, and Grace. In a statement by Aiden: \"Sophia is an egoist\". Sophia remarked, \"Aurora is an egoist\". In Aurora's ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"lying\", 1], [\"lying\", 2], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 0]]], [\"lying\", 2], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]], [\"telling-trut... | {"split": "train", "index": 12251} |
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, Luke, Abigail, Matthew, and Noah. Riley commented, \"(Luke is a sage and Matthew is a sage and Noah is a sage and Riley is a sage) and (if Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 12252} |
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, Jacob, Emily, James, and Zoey. Samuel told you that if (James is a villain or Jacob is a villain) then James is a hero. Jacob expressed that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [... | {"split": "train", "index": 12253} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Joseph, Logan, David, and Olivia. Alexander expressed that Logan is a villain. \"if Olivia is a villain then Alexander is a villain,\" Jos... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"lying\", 2], [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"... | {"split": "train", "index": 12254} |
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, Luke, Jackson, Jack, and Chloe. Zoey stated, \"if (if Zoey is a knight then Luke is a knight) then (Jackson is a knight or Jack is a knight or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling... | {"split": "train", "index": 12255} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Amelia, Jack, Sebastian, and Henry. Joseph said that (Jack is a knight or Jack is a knave) if and only if (Joseph is a knight or Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1144, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 4], [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 12256} |
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, Lucas, Matthew, Olivia, and Samuel. As Aurora put it, \"if (Olivia is a saint and Lucas is a sinner and Samuel is a sinner and Olivia is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1145, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not... | {"split": "train", "index": 12257} |
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: Liam, Emma, Elizabeth, Joseph, and Luke. Liam noted, \"(Liam is a fool) or (if Luke is a fool then Emma is a fool) or (Elizabeth is a fool) or (Luke is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1146, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"tellin... | {"split": "train", "index": 12258} |
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: Grace, Penelope, Joseph, Emma, and Sofia. \"Joseph is a knave or (Emma is a knight or Penelope is a knave),\" Grace claimed. \"Penelope is a knight o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1147, \"statements\": [[\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 3], [\... | {"split": "train", "index": 12259} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, William, David, Isabella, and Abigail. Ella said, \"(Isabella is a laggard and Abigail is a laggard and David is a pioneer) and (David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1148, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-trut... | {"split": "train", "index": 12260} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Avery, Ethan, Daniel, and David. Michael expressed that it is not the case that (if Avery is a sage then Daniel is a fool). \"David is a sage or E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1149, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"lying\", 4], [\"no... | {"split": "train", "index": 12261} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Chloe, Mason, Emma, and Jack. In Jacob's words: \"if (Emma is a knight if and only if Jack is a knight) then (Jack is a knight)\". Chloe asser... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1150, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->\", [\"or\", [... | {"split": "train", "index": 12262} |
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, Amelia, Isabella, Ethan, and Luke. Sophia asserted: \"Luke is a fool\". Amelia expressed that it is not the case that (Luke is a fool). Isabella to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1151, \"statements\": [[\"lying\", 4], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-t... | {"split": "train", "index": 12263} |
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: Aiden, Mason, Grace, Sophia, and Logan. In a statement by Aiden: \"Sophia is a knave and (Mason is a knave and Logan is a knave) and (Aiden is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1152, \"statements\": [[\"and\", [\"lying\", 3], [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 12264} |
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, Sophia, Noah, Ava, and Owen. Jack said that it is not the case that (Noah is a sinner and Sophia is a saint and Jack is a saint and Noah is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1153, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"not... | {"split": "train", "index": 12265} |
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, Mia, Victoria, Luke, and Avery. Charlotte noted, \"(Mia is a devil if and only if Avery is an angel) and (if Mia is a devil then Charlotte i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1154, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 2]], [\"->\", [\"and\", [\"te... | {"split": "train", "index": 12266} |
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, Emily, Sofia, William, and Emma. Owen expressed that Sofia is an altruist. Emily asserted: \"(Owen is an egoist if and only if William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1155, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4... | {"split": "train", "index": 12267} |
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: Lily, Mia, Isabella, Joseph, and Grace. Lily was heard saying, \"(if Joseph is a knight then Grace is a knave) or (if Joseph is a knight then Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1156, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"tell... | {"split": "train", "index": 12268} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Owen, Jackson, Olivia, Benjamin, and Zoey. \"if (if Jackson is a pioneer then Olivia is a pioneer) then (if Owen is a pioneer then Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1157, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], ... | {"split": "train", "index": 12269} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Alexander, Logan, Sofia, Sebastian, and Liam. Alexander told you that it is not the case that (Sofia is a fool). Logan told you that (Liam is a fool) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1158, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"-... | {"split": "train", "index": 12270} |
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, Emily, Evelyn, James, and Ava. \"(Evelyn is a laggard if and only if Evelyn is a pioneer) and Evelyn is a laggard,\" Sophia declared. E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1159, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 2]], [\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 12271} |
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, Harper, Emma, Benjamin, and Elizabeth. Liam stated, \"(Elizabeth is an angel and Liam is an angel and Emma is an angel) or (Emma is an angel or B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1160, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", ... | {"split": "train", "index": 12272} |
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, Aurora, Luke, Riley, and Amelia. Victoria said, \"it is not the case that (Riley is a villain and Amelia is a villain).\" Aurora said, \"(R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1161, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 12273} |
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: Sofia, Logan, Luke, Harper, and Oliver. Sofia commented, \"Logan is an altruist\". Logan asserted: \"it is not the case that (Harper is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1162, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telli... | {"split": "train", "index": 12274} |
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: Jackson, Emma, Ethan, Liam, and Aria. Jackson told you that if (Liam is a villain and Aria is a hero) then (if Aria is a hero then Ethan is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1163, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-... | {"split": "train", "index": 12275} |
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, Liam, Harper, Henry, and Ava. Sofia asserted: \"(Henry is a laggard) if and only if (Ava is a pioneer or Sofia is a pioneer)\". Liam sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1164, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 12276} |
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, Joseph, Mia, Lily, and Riley. \"(Noah is a sinner) or (Mia is a saint) or (if Riley is a saint then Mia is a sinner)\" - Noah. Joseph asserted:... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1165, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 0]... | {"split": "train", "index": 12277} |
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, Ava, Victoria, Sebastian, and William. Liam stated, \"(Ava is a saint) or (Sebastian is a saint) or (Victoria is a saint or Ava is a sinner or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1166, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 12278} |
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, Lucas, Evelyn, Oliver, and Jack. \"it is not the case that (if Lucas is an angel then Jack is an angel),\" Emma mentioned. \"it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1167, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 1]], [\"not\", [\"or\", [\"telli... | {"split": "train", "index": 12279} |
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: Olivia, Luke, Harper, Mia, and Alexander. \"(Alexander is a pioneer and Harper is a laggard and Alexander is a laggard) or (Luke is a pioneer a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1168, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"lyin... | {"split": "train", "index": 12280} |
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: Lucas, Evelyn, Matthew, Aria, and Lily. Lucas said, \"(Evelyn is a fool and Evelyn is a sage and Aria is a fool and Matthew is a sage) or (Lucas is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1169, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"... | {"split": "train", "index": 12281} |
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, Mason, Daniel, Jacob, and James. In a statement by Charlotte: \"(Charlotte is a devil) or (Mason is an angel if and only if Jacob is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1170, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying... | {"split": "train", "index": 12282} |
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: Owen, Riley, Henry, Emily, and Ella. In a statement by Owen: \"if (if Ella is a sage then Emily is a fool) then (Riley is a fool if and only if Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1171, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]... | {"split": "train", "index": 12283} |
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, Charlotte, Jack, Mason, and Aiden. Emily said, \"Jack is a laggard.\" \"Mason is a laggard,\" Charlotte mentioned. \"(Emily is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1172, \"statements\": [[\"lying\", 2], [\"lying\", 3], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", ... | {"split": "train", "index": 12284} |
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, Jacob, Joseph, Evelyn, and Riley. Penelope said, \"(Jacob is a laggard and Evelyn is a laggard and Riley is a pioneer) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1173, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 4], [\"lying\... | {"split": "train", "index": 12285} |
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: Henry, Ethan, Samuel, Jackson, and Mason. Henry commented, \"it is not the case that (Jackson is a devil)\". Ethan was heard saying, \"if (Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1174, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4]]... | {"split": "train", "index": 12286} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, James, Matthew, Michael, and Abigail. According to Logan, \"it is not the case that (if Abigail is a sinner then Michael is a sinner)\". \"Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1175, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"not\... | {"split": "train", "index": 12287} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Oliver, Harper, Liam, and James. As Daniel put it, \"(Harper is a villain) or (Harper is a villain if and only if Liam is a hero)\". \"if Dan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1176, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 1], [\"<=>\", [\"not\", [\"lying\", 0... | {"split": "train", "index": 12288} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Luke, Victoria, Alexander, and Logan. Zoey said that (Victoria is an egoist if and only if Luke is an egoist) and Alexander is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1177, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 3], [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]... | {"split": "train", "index": 12289} |
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, Ella, Charlotte, Joseph, and Harper. David expressed that (Charlotte is a villain and Harper is a hero and Ella is a villain) and (Ella is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1178, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lyin... | {"split": "train", "index": 12290} |
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: Michael, Ethan, Abigail, Victoria, and Daniel. According to Michael, \"if (Ethan is a knight if and only if Ethan is a knave) then (Abigail is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1179, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], ... | {"split": "train", "index": 12291} |
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: Oliver, Matthew, Riley, William, and Samuel. Oliver was heard saying, \"it is not the case that (Samuel is a knave and Samuel is a knight and William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1180, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\",... | {"split": "train", "index": 12292} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Alexander, Liam, Isabella, Zoey, and Olivia. Alexander told you that it is not the case that (Liam is an angel and Isabella is an angel). Liam stated, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1181, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"lying\", 4], [\"->\", [\"<=>\", [\"lying\... | {"split": "train", "index": 12293} |
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, Emily, Jack, Amelia, and Harper. \"Harper is a laggard or (Oliver is a laggard),\" Oliver claimed. Emily was heard saying, \"it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1182, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 12294} |
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, Jack, Zoey, Lily, and David. Amelia noted, \"it is not the case that (Lily is a pioneer or David is a pioneer or Jack is a pioneer)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1183, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [... | {"split": "train", "index": 12295} |
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, Avery, Lily, Aurora, and Samuel. According to Ava, \"Avery is a sage if and only if Aurora is a fool\". Avery stated, \"if (if Ava is a fool then Lily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1184, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"l... | {"split": "train", "index": 12296} |
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: Mason, Scarlett, Victoria, Isabella, and Sebastian. As Mason put it, \"(if Victoria is an altruist then Scarlett is an altruist) and (Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1185, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 1], [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 2... | {"split": "train", "index": 12297} |
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: Charlotte, Owen, Joseph, Sebastian, and Liam. As Charlotte put it, \"it is not the case that (Owen is a sinner if and only if Liam is a sinner)\". As... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1186, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]... | {"split": "train", "index": 12298} |
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: Aria, Jackson, Ella, Victoria, and Scarlett. According to Aria, \"if (Victoria is an angel and Ella is a devil and Ella is an angel and Scarlett is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1187, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 4], [\"or\", [\"lying\"... | {"split": "train", "index": 12299} |
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