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: Aiden, Samuel, Noah, Liam, and David. In Aiden's words: \"it is not the case that (Samuel is a hero or Liam is a hero)\". \"(Liam is a villain if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3], [\"lying\",... | {"split": "train", "index": 11200} |
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, Benjamin, Luke, Jackson, and Alexander. Isabella told you that (Jackson is a knight) and (Jackson is a knave and Isabella is a knight). \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lyin... | {"split": "train", "index": 11201} |
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, Sebastian, Evelyn, Emma, and Owen. \"Emma is a hero or Sebastian is a hero or (Evelyn is a hero and Jackson is a hero),\" Jackson mentioned.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 11202} |
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: Luke, Henry, Noah, Elizabeth, and Scarlett. Luke said that if (Noah is an egoist and Scarlett is an egoist) then Noah is an altruist. \"(Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\... | {"split": "train", "index": 11203} |
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, James, Amelia, Henry, and Mason. Ava commented, \"(if Henry is an angel then Henry is a devil) or (Amelia is an angel if and only if Amelia is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-tr... | {"split": "train", "index": 11204} |
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, Jack, Elizabeth, Emma, and Avery. According to Jackson, \"it is not the case that (Avery is a villain)\". Jack remarked, \"(Avery is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 11205} |
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: Sebastian, Chloe, Henry, William, and Charlotte. \"if (Henry is an angel) then (Charlotte is an angel if and only if William is an angel),\" Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3],... | {"split": "train", "index": 11206} |
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, Henry, Chloe, Sebastian, and Grace. According to Alexander, \"it is not the case that (if Chloe is an angel then Henry is an angel)\". \"(Gr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\... | {"split": "train", "index": 11207} |
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: Aurora, Alexander, Aria, Olivia, and James. \"Olivia is a knight,\" Aurora mentioned. Alexander expressed that James is a knave. \"Aria is a knight\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"not\", [\"lying\", 3]], [\"lying\", 4], [\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2]], [\"lying\", 1]], [\"not\", [\"and\", [\... | {"split": "train", "index": 11208} |
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, Alexander, Luke, Mason, and Grace. Olivia said, \"Alexander is a devil.\" Alexander stated, \"if (if Mason is an angel then Grace is a devil) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"t... | {"split": "train", "index": 11209} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Noah, Logan, Grace, and Alexander. \"if (Logan is an egoist) then (Grace is an altruist or Noah is an altruist or Logan is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"<=>... | {"split": "train", "index": 11210} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Jackson, Amelia, Chloe, and Aiden. Zoey commented, \"Aiden is an angel or Chloe is an angel or (Amelia is a devil or Aiden is an angel or Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 11211} |
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: Olivia, Avery, Elizabeth, Emma, and Charlotte. In a statement by Olivia: \"it is not the case that (if Avery is a fool then Elizabeth is a sage)\". Avery w... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"not\", [\"lying\", 0]], [\"and\", [\"... | {"split": "train", "index": 11212} |
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, Matthew, Isabella, Emily, and Alexander. Ella said, \"(Alexander is a sage and Isabella is a sage and Alexander is a fool) if and only if (Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 4]], [\"<=>... | {"split": "train", "index": 11213} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Ella, Sophia, Michael, and Jack. Noah noted, \"(if Sophia is a knave then Michael is a knave) or (Michael is a knave or Ella is a knight or Sop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 4], [\"t... | {"split": "train", "index": 11214} |
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, Samuel, Aurora, Grace, and Benjamin. According to Aria, \"if (Grace is a devil and Samuel is an angel and Aria is an angel) then (if Aurora is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\"... | {"split": "train", "index": 11215} |
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: Mia, Daniel, Emma, Amelia, and Aria. Mia expressed that it is not the case that (Amelia is a sage and Aria is a sage and Aria is a fool and Emma is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [... | {"split": "train", "index": 11216} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Henry, Jackson, James, and Jack. Olivia said, \"(Jackson is a knave if and only if Henry is a knave) and (if Jackson is a knave then James is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lyi... | {"split": "train", "index": 11217} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emma, Harper, Grace, Jackson, and Victoria. Emma asserted: \"(Harper is a villain) and (Victoria is a hero or Emma is a hero or Grace is a hero) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"tell... | {"split": "train", "index": 11218} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jack, Emily, Benjamin, Joseph, and Luke. Jack said that if (Luke is a villain or Luke is a hero or Joseph is a villain) then (Emily is a hero if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"or\", [\"->\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 11219} |
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, Avery, Alexander, Lucas, and James. \"it is not the case that (Lucas is a knave and Avery is a knight and Alexander is a knight and Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 11220} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emma, Daniel, Avery, Lily, and Jacob. Emma stated, \"(if Avery is a villain then Emma is a hero) and (Avery is a villain if and only if Emma is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]... | {"split": "train", "index": 11221} |
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: Luke, Lucas, Liam, Ella, and Jack. According to Luke, \"it is not the case that (Jack is an altruist)\". Lucas told you that if (Luke is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\",... | {"split": "train", "index": 11222} |
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: Emily, Owen, Emma, Charlotte, and Aria. Emily was heard saying, \"(Emma is a hero if and only if Aria is a villain) and (Emma is a villain) and Owen ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"lying\", 1], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 2], [\"lyi... | {"split": "train", "index": 11223} |
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, Owen, William, Ava, and Sofia. Henry commented, \"(Ava is a laggard if and only if Owen is a laggard) and (William is a laggard) and (Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying... | {"split": "train", "index": 11224} |
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: Sebastian, Jack, Lucas, Michael, and Logan. \"Logan is a devil\" - Sebastian. Jack expressed that (Sebastian is a devil and Sebastian is an angel) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"lying\", 4], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-tr... | {"split": "train", "index": 11225} |
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: Ethan, Luke, Sofia, Sophia, and Lily. Ethan said, \"if (if Ethan is an angel then Lily is a devil) then (if Sophia is a devil then Sophia is an angel).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]],... | {"split": "train", "index": 11226} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Emma, David, Scarlett, and Alexander. Harper noted, \"(if Alexander is a hero then Emma is a hero) and (Scarlett is a villain if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"or\", [\"telling-truth\", 0], ... | {"split": "train", "index": 11227} |
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: Sophia, Owen, Penelope, Chloe, and Ella. Sophia noted, \"Chloe is a knave\". Owen said, \"(Sophia is a knight if and only if Penelope is a knave) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 11228} |
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, Henry, Victoria, Abigail, and Jack. Oliver stated, \"(Henry is a fool and Abigail is a sage and Victoria is a fool) if and only if (Abigail is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4... | {"split": "train", "index": 11229} |
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, Elizabeth, Henry, James, and Emily. Harper noted, \"(if Emily is a knave then James is a knight) if and only if (Harper is a knave)\". In a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"telling-truth\", 1], [\"not\", [\"o... | {"split": "train", "index": 11230} |
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, Oliver, Sophia, Victoria, and Lucas. In a statement by Jacob: \"(Sophia is a knight) and Sophia is a knave\". Oliver remarked, \"Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"lying\", 2]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"lying\", 2], [\"<=... | {"split": "train", "index": 11231} |
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, Alexander, Charlotte, Harper, and Jackson. Daniel remarked, \"it is not the case that (Alexander is a sage if and only if Alexander is a fool)\". I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3]], [\"and\... | {"split": "train", "index": 11232} |
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: Elizabeth, Jack, Zoey, Joseph, and Luke. Elizabeth noted, \"Luke is a saint\". Jack said that Jack is a saint. In a statement by Zoey: \"if (Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not... | {"split": "train", "index": 11233} |
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: Samuel, William, Aria, Elizabeth, and Matthew. \"William is an altruist and (Samuel is an altruist and Matthew is an altruist and Aria is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"... | {"split": "train", "index": 11234} |
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, Oliver, Matthew, Ella, and Luke. Jackson told you that (if Ella is a villain then Matthew is a hero) and (Oliver is a hero). In Oliver's wor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 11235} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Oliver, Sebastian, Noah, and Matthew. In Lucas's words: \"Oliver is a knight and (Matthew is a knave or Sebastian is a knave) and (Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2], [\"lying\",... | {"split": "train", "index": 11236} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Benjamin, Lucas, Scarlett, Alexander, and Sofia. \"(Scarlett is an angel) if and only if (Sofia is an angel if and only if Scarlett is an angel),\" Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 11237} |
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, Noah, Sofia, Penelope, and Ethan. Logan stated, \"it is not the case that (Logan is a sage and Noah is a sage and Noah is a fool)\". Noah told you t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 11238} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Victoria, Emily, Sofia, and Matthew. Emma told you that (Sofia is a knave and Matthew is a knight and Matthew is a knave) and (Sofia is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\... | {"split": "train", "index": 11239} |
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, Evelyn, Charlotte, Olivia, and Elizabeth. Riley was heard saying, \"if (if Elizabeth is an altruist then Elizabeth is an egoist) then (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [... | {"split": "train", "index": 11240} |
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, William, Ava, Aurora, and Emily. Olivia was heard saying, \"(Emily is a hero if and only if William is a villain) or (if William is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"lying\",... | {"split": "train", "index": 11241} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lucas, Oliver, David, Victoria, and Jacob. Lucas said, \"if (Victoria is a laggard and Oliver is a pioneer and Oliver is a laggard) then (if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 0], [... | {"split": "train", "index": 11242} |
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, Jacob, Noah, Abigail, and Scarlett. Ethan asserted: \"(Ethan is a pioneer and Noah is a pioneer and Noah is a laggard and Scarlett is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [... | {"split": "train", "index": 11243} |
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, Victoria, Henry, Emma, and Zoey. Lily asserted: \"if (Zoey is a knave and Henry is a knave and Zoey is a knight) then (Emma is a knight or Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 132, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 11244} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Matthew, Amelia, Lucas, and Lily. Grace expressed that it is not the case that (Grace is a saint or Matthew is a sinner or Lucas is a sinner o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 133, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 11245} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Samuel, Evelyn, Owen, and Mason. According to Emma, \"it is not the case that (Samuel is a laggard or Owen is a pioneer or Owen is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 134, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 0]]], [\"lying\", 0], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]],... | {"split": "train", "index": 11246} |
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, Amelia, Matthew, Ava, and Aiden. Zoey was heard saying, \"if (Matthew is a knave) then (if Aiden is a knight then Matthew is a knight)\". \"(Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 135, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\",... | {"split": "train", "index": 11247} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Aiden, William, Sophia, and Isabella. Amelia noted, \"if (Aiden is an angel) then (Sophia is a devil or William is a devil or William is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 136, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4],... | {"split": "train", "index": 11248} |
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, Matthew, Harper, Luke, and Elizabeth. In Emma's words: \"it is not the case that (Harper is a devil and Luke is a devil and Elizabeth is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 137, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"tellin... | {"split": "train", "index": 11249} |
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: Aria, Lily, Jackson, Aurora, and Owen. Aria noted, \"if (Jackson is a sage if and only if Owen is a sage) then (if Lily is a fool then Owen is a sage)\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 138, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\... | {"split": "train", "index": 11250} |
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: Ella, Joseph, Benjamin, Samuel, and Alexander. Ella noted, \"it is not the case that (Samuel is a saint and Benjamin is a sinner and Ella is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 139, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 2... | {"split": "train", "index": 11251} |
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, Emily, Alexander, Jacob, and Lucas. \"if (Lucas is a saint and Alexander is a sinner and Alexander is a saint) then (Emily is a sinner or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 140, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"tellin... | {"split": "train", "index": 11252} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Jacob, Lily, Henry, and Aurora. Emma said, \"(if Emma is an altruist then Jacob is an altruist) or (Aurora is an egoist or Lily is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 141, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], ... | {"split": "train", "index": 11253} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Jacob, Michael, Noah, and Chloe. Matthew said, \"Jacob is a sinner and (Michael is a sinner if and only if Chloe is a sinner) and (Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 142, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"lying\", 4], [\"lying\", 1], [\"->\", [\"lying\", 0], [\... | {"split": "train", "index": 11254} |
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, Jacob, Ethan, Emma, and Grace. \"Grace is a villain,\" Charlotte claimed. Jacob expressed that it is not the case that (Emma is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 143, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"... | {"split": "train", "index": 11255} |
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, Jack, Aria, Emily, and Sophia. Sebastian said, \"(if Sophia is a knight then Emily is a knave) and (Aria is a knave or Jack is a knave or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 144, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\... | {"split": "train", "index": 11256} |
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, Aiden, Sophia, and Lily. Evelyn said that Luke is a saint. According to Luke, \"(if Lily is a sinner then Evelyn is a saint) or (if Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 145, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"or\", [\"tellin... | {"split": "train", "index": 11257} |
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, Mia, Sebastian, Olivia, and Elizabeth. Charlotte commented, \"Olivia is a sinner\". As Mia put it, \"(Sebastian is a sinner and Olivia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"tellin... | {"split": "train", "index": 11258} |
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, Abigail, Lucas, Sophia, and Grace. Aiden stated, \"(if Aiden is a hero then Sophia is a hero) or Aiden is a hero or (if Aiden is a hero then G... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 147, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"... | {"split": "train", "index": 11259} |
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: Olivia, Logan, Henry, William, and Joseph. According to Olivia, \"William is a sage and (Olivia is a sage if and only if Henry is a fool) and (Joseph is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 3], [\... | {"split": "train", "index": 11260} |
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, Lucas, Noah, Abigail, and Sebastian. Ethan noted, \"Ethan is a pioneer if and only if (Lucas is a laggard)\". \"if (Noah is a laggard or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-... | {"split": "train", "index": 11261} |
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, Alexander, Avery, Evelyn, and Victoria. In Amelia's words: \"(Victoria is a pioneer and Avery is a laggard and Avery is a pioneer) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 150, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 11262} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Noah, Ella, Jacob, Elizabeth, and Aria. \"(Elizabeth is an egoist if and only if Noah is an altruist) or Jacob is an altruist or (Ella is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 151, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 1]], [\"n... | {"split": "train", "index": 11263} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Chloe, Ava, Ella, and Riley. Logan said that if (if Chloe is an angel then Ella is a devil) then (Ella is an angel and Ava is a devil). Chloe no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 152, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"... | {"split": "train", "index": 11264} |
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, Owen, Mia, Benjamin, and Joseph. Sebastian asserted: \"Benjamin is a knight\". According to Owen, \"if (Joseph is a knave) then (if Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 153, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 11265} |
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: Mason, Ethan, Lily, Abigail, and Samuel. In Mason's words: \"(Ethan is a sage or Ethan is a fool or Samuel is a fool) or (Ethan is a sage and Lily is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 154, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1]]], [\"lying\", 2], [\"not\", [\"and\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 11266} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Avery, Joseph, Daniel, and Amelia. Evelyn asserted: \"(Joseph is a devil if and only if Avery is a devil) if and only if Daniel is an angel\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 155, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"-... | {"split": "train", "index": 11267} |
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: Abigail, William, Sofia, Ethan, and Samuel. \"(Samuel is a saint or William is a sinner or Sofia is a saint) and Abigail is a saint and (if Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 156, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 11268} |
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: Avery, Mason, Aria, Aurora, and Jacob. As Avery put it, \"if (Aria is a fool) then (Aria is a fool and Mason is a fool and Avery is a sage)\". In a stateme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 157, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]... | {"split": "train", "index": 11269} |
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: Liam, Lucas, Joseph, Ava, and Emma. According to Liam, \"(Lucas is a knight) if and only if Lucas is a knave\". \"(Liam is a knight) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 158, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\", 1]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\"... | {"split": "train", "index": 11270} |
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, Avery, Lucas, Oliver, and Samuel. Aria stated, \"(Samuel is a devil) and Avery is an angel\". \"(Avery is an angel if and only if Samuel is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 159, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"t... | {"split": "train", "index": 11271} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, William, Victoria, Logan, and David. As Jack put it, \"it is not the case that (if Victoria is a laggard then David is a pioneer)\". \"Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 160, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 3], [... | {"split": "train", "index": 11272} |
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, Abigail, David, Emily, and Aiden. Olivia asserted: \"Aiden is a villain if and only if (Abigail is a villain if and only if Olivia is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 161, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 0], [\"not\", [\"lying\", 2]]], [\"->\", [\"<=>\", [\"te... | {"split": "train", "index": 11273} |
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, Charlotte, David, Elizabeth, and Aria. According to Jacob, \"if (Jacob is a laggard) then (Aria is a pioneer if and only if Charlotte is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 162, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 0], [\"or\", [\"telling-truth\", 3], [... | {"split": "train", "index": 11274} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Olivia, Sophia, Mia, and Daniel. Riley told you that (Sophia is a laggard or Daniel is a pioneer) and (Olivia is a pioneer or Olivia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 163, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"... | {"split": "train", "index": 11275} |
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, Owen, Scarlett, Sebastian, and Aria. \"(if Isabella is an angel then Aria is a devil) or Sebastian is an angel or (Owen is an angel if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 164, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"->\",... | {"split": "train", "index": 11276} |
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, Riley, Oliver, Charlotte, and Victoria. Liam was heard saying, \"Riley is a saint if and only if (Victoria is a saint if and only if Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 165, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 4]], [\... | {"split": "train", "index": 11277} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, David, Scarlett, Sebastian, and James. \"James is a knight,\" Noah declared. \"(Noah is a knave and James is a knave) or (James is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 166, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 11278} |
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: Victoria, Oliver, Riley, Sophia, and Penelope. Victoria said that if (Victoria is an altruist and Penelope is an egoist) then (Sophia is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 167, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4],... | {"split": "train", "index": 11279} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Charlotte, Oliver, Scarlett, Jacob, and Daniel. In a statement by Charlotte: \"(Daniel is a fool if and only if Charlotte is a sage) and (Scarlett is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 168, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]... | {"split": "train", "index": 11280} |
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, Elizabeth, Liam, Daniel, and Owen. In Aiden's words: \"it is not the case that (Daniel is a hero and Elizabeth is a hero)\". According to Eliz... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 169, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"or\", [\"or\", [\"tell... | {"split": "train", "index": 11281} |
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: Jack, Ella, Elizabeth, Avery, and Sophia. Jack asserted: \"Ella is an altruist or (Sophia is an altruist if and only if Elizabeth is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 170, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 4]], [\"lying\", 0], [\"or\", [\"<=>\", [\"telling... | {"split": "train", "index": 11282} |
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, Chloe, Charlotte, Owen, and Mia. As Zoey put it, \"(Mia is a knight if and only if Owen is a knave) or (if Owen is a knight then Chloe is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 171, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 1]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telli... | {"split": "train", "index": 11283} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, David, Ethan, Oliver, and Benjamin. Olivia was heard saying, \"Benjamin is a knight\". In David's words: \"(Benjamin is a knave and Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 172, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]]... | {"split": "train", "index": 11284} |
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, Grace, Samuel, Penelope, and Ella. As James put it, \"Penelope is a sinner\". Grace stated, \"if (if Penelope is a sinner then James is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 173, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 11285} |
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: Grace, Chloe, Jack, Daniel, and Sebastian. Grace remarked, \"it is not the case that (if Daniel is a sage then Jack is a sage)\". Chloe stated, \"(Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 174, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 11286} |
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: Matthew, Chloe, Emma, Amelia, and Harper. Matthew commented, \"Chloe is a pioneer\". Chloe said, \"if (if Harper is a laggard then Emma is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 175, \"statements\": [[\"not\", [\"lying\", 1]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 11287} |
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, Alexander, Luke, Oliver, and Jack. \"(if Elizabeth is a sage then Luke is a fool) and Oliver is a fool and (Luke is a fool or Alexander is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 176, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 3], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [... | {"split": "train", "index": 11288} |
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, Lucas, Aiden, Scarlett, and Alexander. As Jack put it, \"(Scarlett is a knave) if and only if (Scarlett is a knave and Lucas is a knight and Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 177, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 3]]], [\"and\", ... | {"split": "train", "index": 11289} |
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, Ella, Harper, Sofia, and Penelope. \"if (if Ella is an angel then Ella is a devil) then (if Ella is a devil then Sofia is an angel)\" - Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"lying\", 3], [\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying... | {"split": "train", "index": 11290} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Luke, William, Sebastian, and Sofia. Mason noted, \"if (Sofia is a knight) then Sebastian is a knight\". In Luke's words: \"(Sebastian is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 179, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 0], [\"lying\", 3]], [\"lying\", 0]], [\"->\", [\"or\", [\"lying\", 4],... | {"split": "train", "index": 11291} |
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: Penelope, Avery, Michael, Luke, and James. Penelope commented, \"if Luke is a knight then (if Luke is a knave then Michael is a knight)\". \"if (Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 180, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 11292} |
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, Lily, Harper, Liam, and Logan. Owen commented, \"if (Logan is a laggard) then (Harper is a laggard or Harper is a pioneer or Owen is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 181, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lyin... | {"split": "train", "index": 11293} |
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, Mason, Samuel, William, and Chloe. Ethan noted, \"if (William is a villain if and only if Chloe is a villain) then (Ethan is a hero and Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 182, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 11294} |
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, Olivia, Riley, Luke, and Samuel. Aiden said that (if Luke is a villain then Samuel is a hero) and (if Luke is a hero then Samuel is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 183, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-trut... | {"split": "train", "index": 11295} |
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, Avery, Sophia, Penelope, and Mia. In a statement by Jackson: \"it is not the case that (Jackson is a hero and Sophia is a hero and Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 184, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 4]], [\"not\",... | {"split": "train", "index": 11296} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Matthew, Zoey, Emily, and Aiden. Elizabeth expressed that (Aiden is an angel or Aiden is a devil or Emily is a devil) if and only if (Matthe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 185, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling... | {"split": "train", "index": 11297} |
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: Victoria, David, Charlotte, Harper, and Riley. Victoria remarked, \"Charlotte is a sinner\". \"(Charlotte is a saint) or (Harper is a sinner and Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"lying\", 2], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\... | {"split": "train", "index": 11298} |
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, Jack, Noah, William, and Alexander. James was heard saying, \"(James is a sinner) or (James is a saint if and only if Jack is a sinner)\". Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 187, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"->\", [\"lying\", 0], [\"t... | {"split": "train", "index": 11299} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.