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 heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sophia, Abigail, Victoria, William, and Evelyn. In Sophia's words: \"if Sophia is a hero then (if Victoria is a villain then Abigail is a hero)\". Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 132, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]... | {"split": "train", "index": 6800} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Sophia, Emily, Jacob, and Lily. William said that (Sophia is a saint) and (Emily is a sinner or Jacob is a saint). Sophia said, \"Emily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 133, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2... | {"split": "train", "index": 6801} |
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, Mason, Liam, Matthew, and Michael. According to Riley, \"it is not the case that (Mason is a villain if and only if Liam is a hero)\". In a st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 134, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"te... | {"split": "train", "index": 6802} |
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: Ethan, Elizabeth, Daniel, Logan, and Aiden. Ethan asserted: \"it is not the case that (Daniel is a hero and Aiden is a hero)\". Elizabeth remarked, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 135, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", ... | {"split": "train", "index": 6803} |
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: Harper, Charlotte, Joseph, Ella, and Michael. According to Harper, \"if Ella is a laggard then (if Michael is a laggard then Harper is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 136, \"statements\": [[\"->\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]],... | {"split": "train", "index": 6804} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Chloe, Mason, Evelyn, Elizabeth, and Luke. As Chloe put it, \"(Mason is a saint or Luke is a sinner) if and only if Elizabeth is a saint\". \"(Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 137, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 2]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 6805} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Emma, Grace, James, and Benjamin. Isabella stated, \"it is not the case that (Grace is an angel or Grace is a devil)\". In a statement by Emm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 138, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\",... | {"split": "train", "index": 6806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Elizabeth, Liam, Aiden, and Ethan. \"Elizabeth is a sage and (if Liam is a sage then Joseph is a sage),\" Joseph declared. Elizabeth was heard sayi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 139, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\... | {"split": "train", "index": 6807} |
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: Sophia, Alexander, David, Aria, and Logan. \"it is not the case that (if Logan is an altruist then David is an altruist)\" - Sophia. Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 140, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"o... | {"split": "train", "index": 6808} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Logan, Elizabeth, Penelope, and Ava. As Sebastian put it, \"Logan is a villain\". Logan asserted: \"(Ava is a villain if and only if Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 141, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], ... | {"split": "train", "index": 6809} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emily, Jackson, Mia, Matthew, and Aiden. Emily asserted: \"Jackson is a devil and (Emily is an angel and Mia is an angel)\". Jackson expressed that if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 142, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"or\", [\"telling-trut... | {"split": "train", "index": 6810} |
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: Liam, Samuel, Olivia, Charlotte, and Emma. \"it is not the case that (Olivia is an egoist),\" Liam claimed. Samuel asserted: \"if (Olivia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 143, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 6811} |
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: William, Alexander, Evelyn, Riley, and Aria. William expressed that if (if William is an altruist then Aria is an egoist) then (Riley is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 144, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [... | {"split": "train", "index": 6812} |
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, Isabella, Aiden, Jacob, and David. According to Oliver, \"(David is a villain and David is a hero) or (Aiden is a hero and David is a hero)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 145, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\"... | {"split": "train", "index": 6813} |
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, Victoria, Jacob, Michael, and Henry. Owen said that Jacob is an angel. Victoria remarked, \"Henry is an angel\". Jacob noted, \"Owen is a devil o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"not\", [\"lying\", 2]], [\"telling-truth\", 4], [\"or\", [\"lying\", 0], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\",... | {"split": "train", "index": 6814} |
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: Grace, Samuel, Isabella, Logan, and Jackson. Grace remarked, \"(Grace is a devil) or (if Isabella is an angel then Jackson is an angel)\". Samuel expre... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 147, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lying\", 0], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 1]],... | {"split": "train", "index": 6815} |
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, Matthew, Charlotte, Benjamin, and Samuel. \"(Matthew is a hero) if and only if (Benjamin is a hero or Matthew is a hero),\" Penelope declar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"tell... | {"split": "train", "index": 6816} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Liam, Penelope, Sebastian, and Riley. Aiden noted, \"(Liam is an angel and Penelope is an angel) and Liam is an angel\". Liam was heard saying, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"not\", [\"... | {"split": "train", "index": 6817} |
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, Scarlett, Charlotte, Liam, and Jack. Alexander told you that if (Scarlett is a fool and Charlotte is a sage) then (Charlotte is a sage and Jack ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 150, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 6818} |
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, Sofia, Jacob, Harper, and Mason. Abigail said, \"Mason is a laggard.\" Sofia said, \"it is not the case that (if Jacob is a laggard th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 151, \"statements\": [[\"lying\", 4], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"or\"... | {"split": "train", "index": 6819} |
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: Olivia, Daniel, Victoria, Oliver, and Owen. Olivia said that Oliver is a hero. Daniel expressed that (Olivia is a villain and Victoria is a hero) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 152, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\"... | {"split": "train", "index": 6820} |
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, Penelope, Ella, Owen, and Charlotte. Mason told you that (Charlotte is a devil) if and only if (Charlotte is an angel or Penelope is an angel). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 153, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"a... | {"split": "train", "index": 6821} |
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, Chloe, Sophia, Jack, and Penelope. In Matthew's words: \"Chloe is a villain\". \"Penelope is a hero\" - Chloe. Sophia commented, \"if (Penel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 154, \"statements\": [[\"lying\", 1], [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying... | {"split": "train", "index": 6822} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, Ethan, Alexander, Evelyn, and Aurora. Jacob told you that (Alexander is a fool if and only if Alexander is a sage) if and only if (Alexander is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 155, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [... | {"split": "train", "index": 6823} |
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, Henry, Owen, Charlotte, and Joseph. In Lucas's words: \"(Joseph is a hero if and only if Joseph is a villain) if and only if Henry is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 156, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"-... | {"split": "train", "index": 6824} |
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, Elizabeth, Emma, Avery, and Penelope. \"if (Penelope is an angel if and only if Avery is a devil) then (Elizabeth is a devil and Emma is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 157, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"telling-t... | {"split": "train", "index": 6825} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, Mason, Sebastian, Charlotte, and Emily. Jacob asserted: \"(if Charlotte is a sinner then Emily is a saint) and (Sebastian is a sinner and Emil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 158, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 6826} |
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: Aria, Riley, Matthew, Elizabeth, and David. Aria said that Matthew is a knight. Riley said, \"(Riley is a knave) and (if Matthew is a knight then Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 159, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3]... | {"split": "train", "index": 6827} |
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, Mia, Sebastian, William, and Jacob. David was heard saying, \"(Jacob is a villain) or (Jacob is a hero or Jacob is a villain)\". Mia expressed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 160, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 6828} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Owen, Lily, Noah, Michael, and Emma. Owen remarked, \"(if Owen is a hero then Lily is a hero) or (Lily is a villain or Michael is a villain)\". Lily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 161, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], ... | {"split": "train", "index": 6829} |
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, Victoria, Lucas, Scarlett, and Owen. Jack was heard saying, \"(Scarlett is a sinner or Victoria is a sinner) if and only if (Scarlett is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 162, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 6830} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Harper, Benjamin, Luke, and Henry. Sophia noted, \"Henry is a sinner\". In Harper's words: \"Luke is a saint\". Benjamin noted, \"if Luke is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 163, \"statements\": [[\"lying\", 4], [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"not\", [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"t... | {"split": "train", "index": 6831} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Aiden, Oliver, Elizabeth, and Harper. Jack said that Aiden is a saint. Aiden stated, \"Oliver is a sinner\". \"(Harper is a saint if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 164, \"statements\": [[\"telling-truth\", 1], [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"telling-truth\", 4... | {"split": "train", "index": 6832} |
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, Sofia, Penelope, Aiden, and Scarlett. In Ella's words: \"(if Penelope is a pioneer then Sofia is a laggard) and (Scarlett is a pioneer)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 165, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-t... | {"split": "train", "index": 6833} |
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, Mason, Henry, Jack, and Owen. \"Henry is an egoist\" - Daniel. Mason told you that (Owen is an egoist) or (if Jack is an egoist then He... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 166, \"statements\": [[\"lying\", 2], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 6834} |
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, Ella, Benjamin, Chloe, and Abigail. \"it is not the case that (if Benjamin is a villain then Abigail is a villain),\" Amelia declared. As Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 167, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\... | {"split": "train", "index": 6835} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Samuel, Noah, Liam, and Scarlett. \"Liam is a knight,\" Harper declared. \"it is not the case that (Scarlett is a knave)\" - Samuel. Noah exp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 168, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"and\", [\"telling-trut... | {"split": "train", "index": 6836} |
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, Sophia, Scarlett, Chloe, and Samuel. According to Penelope, \"if (if Samuel is a devil then Penelope is an angel) then (Chloe is a devil and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 169, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"and\", [\"or\... | {"split": "train", "index": 6837} |
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, Henry, Amelia, Noah, and Liam. \"(Liam is a saint) or (if Liam is a saint then Noah is a saint),\" Sofia declared. Henry commented, \"Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 170, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 0], [\"telling-truth\", 1], [\"and\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 1],... | {"split": "train", "index": 6838} |
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: William, Avery, Harper, Lucas, and Sophia. William said, \"(Sophia is an altruist) if and only if (Lucas is an egoist).\" Avery remarked, \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 171, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\",... | {"split": "train", "index": 6839} |
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, Daniel, Grace, Evelyn, and Emily. Samuel remarked, \"Evelyn is a laggard\". Daniel said, \"(Samuel is a pioneer if and only if Samuel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 172, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 6840} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Scarlett, Sophia, Ava, and Avery. Olivia asserted: \"Scarlett is an egoist\". Scarlett said that (Ava is an egoist if and only if Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 173, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"... | {"split": "train", "index": 6841} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Luke, Joseph, Samuel, and Lily. Mia asserted: \"(Mia is a saint if and only if Lily is a saint) and (Lily is a saint and Joseph is a saint)\". L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 174, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"and\", [\"l... | {"split": "train", "index": 6842} |
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, Sebastian, Zoey, Owen, and Riley. James remarked, \"(Riley is a saint if and only if Owen is a sinner) if and only if (Owen is a sinner)\". \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 175, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-tru... | {"split": "train", "index": 6843} |
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, Ava, William, Jackson, and Samuel. \"(if Logan is a sage then Samuel is a fool) and (Samuel is a fool and William is a sage),\" Logan mentioned. Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 176, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"tel... | {"split": "train", "index": 6844} |
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, Ava, and Chloe. In Isabella's words: \"it is not the case that (if Joseph is a knave then Chloe is a knight)\". \"(Ava is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 177, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 6845} |
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, Amelia, Mia, Noah, and Sophia. Grace stated, \"if Sophia is a knave then Amelia is a knave\". \"it is not the case that (Mia is a knave if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"->\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"ly... | {"split": "train", "index": 6846} |
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: Aurora, Chloe, Lily, Olivia, and Matthew. In Aurora's words: \"Matthew is a devil and (if Aurora is an angel then Olivia is an angel)\". As Chloe put i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 179, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-trut... | {"split": "train", "index": 6847} |
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, Zoey, Penelope, Sebastian, and Abigail. Lily expressed that if (Zoey is a knight or Abigail is a knight) then (Abigail is a knight). Zoey told ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 180, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\... | {"split": "train", "index": 6848} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, Noah, Olivia, Lily, and Penelope. In a statement by Jacob: \"if (Lily is an egoist and Penelope is an altruist) then (if Jacob is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 181, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0]... | {"split": "train", "index": 6849} |
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, Isabella, Emily, Mason, and Noah. Charlotte noted, \"(Mason is a laggard if and only if Emily is a laggard) and (Isabella is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 182, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"a... | {"split": "train", "index": 6850} |
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, Emily, Elizabeth, Luke, and Noah. Alexander stated, \"(Luke is a hero or Emily is a villain) or (Noah is a hero or Alexander is a hero)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 183, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"not\", [\"<... | {"split": "train", "index": 6851} |
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, Sebastian, Isabella, Ella, and Jack. Daniel stated, \"if (if Isabella is an altruist then Jack is an altruist) then (if Sebastian is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 184, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"no... | {"split": "train", "index": 6852} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, Aurora, Riley, Matthew, and Zoey. Elizabeth expressed that Riley is a sage. \"it is not the case that (Zoey is a fool if and only if Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 185, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"and\", [\... | {"split": "train", "index": 6853} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Riley, Alexander, Sofia, Abigail, and Ava. Riley commented, \"(Abigail is an altruist or Abigail is an egoist) or (Ava is an altruist)\". Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]... | {"split": "train", "index": 6854} |
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, Oliver, David, Mason, and Joseph. Olivia noted, \"(Oliver is a devil) or (if Mason is an angel then Joseph is an angel)\". Oliver was heard say... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 187, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]... | {"split": "train", "index": 6855} |
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, Chloe, Benjamin, William, and Aurora. Alexander was heard saying, \"Benjamin is a fool\". Chloe noted, \"(Aurora is a sage and Benjamin is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"lying\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"ly... | {"split": "train", "index": 6856} |
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, Olivia, Ava, Mason, and Matthew. Riley asserted: \"Ava is a fool\". Olivia stated, \"Olivia is a sage or (Riley is a sage if and only if Ava is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"not\", [\"lying\", 0]... | {"split": "train", "index": 6857} |
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, Avery, Olivia, Lily, and Logan. Aria stated, \"(Avery is a pioneer if and only if Lily is a laggard) and (if Lily is a pioneer then Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lyi... | {"split": "train", "index": 6858} |
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: Luke, Grace, Matthew, Aria, and Isabella. \"(Matthew is a devil) or (if Aria is an angel then Isabella is an angel),\" Luke claimed. Grace remarked, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 0], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"or\"... | {"split": "train", "index": 6859} |
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, Luke, Lucas, Owen, and Zoey. \"it is not the case that (Zoey is a laggard or Owen is a pioneer)\" - Aiden. Luke stated, \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-... | {"split": "train", "index": 6860} |
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, Michael, Ella, Chloe, and Emily. Avery said, \"(Chloe is a saint or Emily is a saint) or (Avery is a saint and Michael is a sinner).\" Michael... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"tell... | {"split": "train", "index": 6861} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: James, Joseph, William, David, and Aiden. James stated, \"Aiden is a fool\". As Joseph put it, \"(James is a fool and James is a sage) and (William is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 6862} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Luke, Olivia, Charlotte, Noah, and Penelope. Luke noted, \"if (if Penelope is a sage then Noah is a fool) then (Penelope is a fool and Penelope is a sage)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"->\", [\... | {"split": "train", "index": 6863} |
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, Ella, Elizabeth, Harper, and Emily. Riley commented, \"(Emily is a devil if and only if Emily is an angel) and (Elizabeth is a devil if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\... | {"split": "train", "index": 6864} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Aiden, Aurora, Emily, and Michael. Grace noted, \"Aiden is a saint and (Grace is a sinner)\". \"Michael is a saint,\" Aiden mentioned. Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 6865} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Daniel, Penelope, Benjamin, and Aria. Aiden remarked, \"Penelope is a saint\". \"Daniel is a saint,\" Daniel claimed. In Penelope's words: \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], ... | {"split": "train", "index": 6866} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Henry, Abigail, Luke, and Elizabeth. Matthew said that it is not the case that (Henry is a devil if and only if Luke is an angel). In a statem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 0],... | {"split": "train", "index": 6867} |
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: Harper, Ethan, Zoey, Owen, and Chloe. In a statement by Harper: \"(Zoey is a devil and Ethan is a devil) if and only if (Chloe is a devil and Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 6868} |
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: Henry, Ella, Elizabeth, Aurora, and Alexander. Henry noted, \"(Elizabeth is a villain if and only if Alexander is a villain) and (Alexander is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"lyi... | {"split": "train", "index": 6869} |
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, Amelia, Joseph, Emma, and Abigail. Alexander expressed that Amelia is a villain. Amelia commented, \"it is not the case that (if Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 0]]], [\"not\"... | {"split": "train", "index": 6870} |
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, Charlotte, Grace, Chloe, and Emily. As Michael put it, \"Emily is a knight\". Charlotte said, \"it is not the case that (if Grace is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"and\", [\"or\", ... | {"split": "train", "index": 6871} |
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, Aiden, Victoria, Abigail, and Jacob. Ava noted, \"if (Jacob is a pioneer if and only if Jacob is a laggard) then Ava is a pioneer\". Accor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 1], [\"or\", [\"lying\... | {"split": "train", "index": 6872} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Aiden, Olivia, Grace, and Owen. In Jack's words: \"Aiden is a knave\". Aiden noted, \"it is not the case that (Aiden is a knight if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-truth\", 0], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telli... | {"split": "train", "index": 6873} |
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: Victoria, Chloe, Riley, Ava, and Sebastian. Victoria stated, \"it is not the case that (Ava is a devil or Sebastian is an angel)\". In a statement by C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 0... | {"split": "train", "index": 6874} |
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, Ava, Daniel, and Matthew. Sophia noted, \"(Matthew is a laggard and Sophia is a pioneer) and (if Ava is a laggard then Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"te... | {"split": "train", "index": 6875} |
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, Penelope, Jack, Joseph, and Sebastian. Sofia commented, \"Sebastian is a saint\". Penelope noted, \"(Joseph is a sinner and Jack is a sinner) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"or\", [\"lying\", 0], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"t... | {"split": "train", "index": 6876} |
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, Abigail, Avery, Zoey, and Jack. In a statement by Daniel: \"(if Avery is a fool then Jack is a fool) if and only if (Abigail is a sage and Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 6877} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Logan, Luke, Emma, and Penelope. Matthew remarked, \"Logan is an angel\". Logan asserted: \"Penelope is a devil\". In Luke's words: \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"not\", [\"lying\", 1]], [\"lying\", 4], [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"and\", ... | {"split": "train", "index": 6878} |
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: Victoria, Sebastian, Isabella, Luke, and Benjamin. \"if (Luke is a pioneer and Sebastian is a pioneer) then (Luke is a laggard)\" - Victoria. S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\... | {"split": "train", "index": 6879} |
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, Charlotte, Isabella, Michael, and Evelyn. Emily expressed that Charlotte is a saint. \"(Michael is a sinner or Evelyn is a sinner) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"te... | {"split": "train", "index": 6880} |
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: Liam, Jacob, Aria, Victoria, and Abigail. Liam remarked, \"(Victoria is an egoist and Abigail is an egoist) if and only if (if Abigail is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"ly... | {"split": "train", "index": 6881} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Henry, Mason, Emma, and Riley. Benjamin said, \"(Emma is a hero and Benjamin is a hero) or (Emma is a villain).\" In Henry's words: \"if (H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 4]... | {"split": "train", "index": 6882} |
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: Jackson, Jack, Liam, Ethan, and Emma. Jackson expressed that Liam is a saint. \"if Jackson is a sinner then (Jackson is a sinner or Liam is a saint),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"lying\", 0], [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\"... | {"split": "train", "index": 6883} |
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, Olivia, Benjamin, Victoria, and Ella. \"(Victoria is an egoist or Victoria is an altruist) or (Victoria is an egoist if and only if Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]... | {"split": "train", "index": 6884} |
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, Lily, Sebastian, Elizabeth, and Alexander. Aiden said that it is not the case that (Sebastian is a villain if and only if Sebastian is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-t... | {"split": "train", "index": 6885} |
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, Sofia, Scarlett, Aiden, and Aria. Michael said, \"Scarlett is a knave or (Aria is a knight if and only if Aiden is a knave).\" Sofia remarke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\... | {"split": "train", "index": 6886} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, William, Mia, Logan, and David. Henry stated, \"(Mia is a pioneer if and only if David is a pioneer) or (Mia is a laggard)\". \"if Mia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\... | {"split": "train", "index": 6887} |
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: Amelia, Matthew, James, Grace, and William. \"it is not the case that (if Matthew is a sinner then William is a sinner),\" Amelia declared. According... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"or\... | {"split": "train", "index": 6888} |
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, Emma, Joseph, Olivia, and Samuel. Ella told you that (if Emma is a fool then Samuel is a sage) if and only if (Olivia is a fool if and only if Emma i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]... | {"split": "train", "index": 6889} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Logan, Riley, Jackson, and Avery. Sophia said that (if Avery is a sage then Avery is a fool) and (if Riley is a fool then Sophia is a sage). Logan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 3], [\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 6890} |
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: Liam, Riley, Owen, Abigail, and Elizabeth. According to Liam, \"Abigail is an egoist\". According to Riley, \"(Abigail is an altruist and Owen ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"<... | {"split": "train", "index": 6891} |
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, Aiden, Avery, Sofia, and Oliver. Amelia commented, \"Oliver is a hero\". As Aiden put it, \"if (Avery is a villain and Oliver is a villain) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [... | {"split": "train", "index": 6892} |
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: Matthew, Amelia, Aurora, Evelyn, and Logan. Matthew remarked, \"(if Aurora is a fool then Evelyn is a sage) or Aurora is a sage\". Amelia said, \"if (if Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [... | {"split": "train", "index": 6893} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Michael, Aurora, Sophia, Riley, and Benjamin. Michael said, \"Riley is a devil.\" According to Aurora, \"it is not the case that (if Benjamin is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"not\", [\"tell... | {"split": "train", "index": 6894} |
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, Emma, Olivia, Henry, and Benjamin. \"(Olivia is a hero) and Henry is a hero\" - Charlotte. Emma stated, \"it is not the case that (Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 3], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"or\", [\"... | {"split": "train", "index": 6895} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Luke, Oliver, Joseph, and Ethan. According to Isabella, \"(Oliver is a devil if and only if Joseph is a devil) or (if Oliver is a devil then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3]... | {"split": "train", "index": 6896} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Riley, Daniel, James, and Chloe. Sebastian told you that (Riley is a knave if and only if Daniel is a knave) or (Riley is a knight if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"tel... | {"split": "train", "index": 6897} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Riley, Isabella, Sebastian, and Harper. Amelia asserted: \"(Isabella is a knave and Isabella is a knight) or (Harper is a knight or Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"te... | {"split": "train", "index": 6898} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mia, William, Aiden, Chloe, and Amelia. In a statement by Mia: \"(Chloe is a devil and William is an angel) or (Aiden is an angel if and only if Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 0], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telli... | {"split": "train", "index": 6899} |
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