data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Avery, Scarlett, Abigail, Daniel, and Owen. As Avery put it, \"Daniel is a pioneer\". In Scarlett's words: \"if (if Abigail is a laggard then O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2110, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 4]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling... | {"split": "train", "index": 11000} |
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: Matthew, Jack, William, Logan, and Joseph. Matthew commented, \"(if Jack is a knave then Jack is a knight) and (Logan is a knave and Jack is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2111, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"tellin... | {"split": "train", "index": 11001} |
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, Penelope, David, Liam, and Jackson. Elizabeth was heard saying, \"(if David is a saint then Elizabeth is a saint) if and only if (David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2112, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4]]... | {"split": "train", "index": 11002} |
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, Luke, Aiden, Ella, and Victoria. Oliver said, \"Ella is a sage if and only if (Victoria is a fool).\" Luke remarked, \"(if Aiden is a sage then Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2113, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"o... | {"split": "train", "index": 11003} |
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, Scarlett, Mason, Aria, and Oliver. \"(Scarlett is an angel or Aria is a devil) or Mason is an angel or Oliver is an angel,\" Elizabeth menti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2114, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"lying\", 0], [\"telling-truth\", 0], [\"and\",... | {"split": "train", "index": 11004} |
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, Penelope, Daniel, Chloe, and Logan. \"if (Chloe is a pioneer) then Logan is a pioneer,\" Victoria claimed. \"Chloe is a pioneer and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2115, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]... | {"split": "train", "index": 11005} |
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: Jack, Abigail, William, Emma, and Lucas. \"William is a sage,\" Jack declared. As Abigail put it, \"(Emma is a fool) if and only if (Jack is a fool and Luc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2116, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 11006} |
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: Liam, James, Evelyn, Logan, and Penelope. Liam was heard saying, \"it is not the case that (Penelope is a hero if and only if James is a hero)\". Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2117, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 0], [\"lyin... | {"split": "train", "index": 11007} |
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, Mia, Ella, Aria, and Emily. Charlotte said that Ella is a sage. Mia noted, \"(Ella is a sage and Mia is a sage) or (Charlotte is a sage if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2118, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", 1], [\"<=>\", [\"or\", [\"telling-truth... | {"split": "train", "index": 11008} |
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, Abigail, Ava, Sebastian, and Aurora. Harper commented, \"Sebastian is a knave\". \"(Sebastian is a knave) or (if Aurora is a knave then Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2119, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-tr... | {"split": "train", "index": 11009} |
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: Henry, Lucas, Aiden, Isabella, and Emma. Henry remarked, \"Lucas is a fool\". Lucas commented, \"Aiden is a fool\". Aiden asserted: \"Lucas is a fool or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2120, \"statements\": [[\"lying\", 1], [\"lying\", 2], [\"or\", [\"lying\", 1], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\",... | {"split": "train", "index": 11010} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Logan, Lucas, Samuel, Penelope, and Chloe. Logan remarked, \"(Penelope is a hero if and only if Chloe is a hero) if and only if (Samuel is a hero or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2121, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [... | {"split": "train", "index": 11011} |
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, Avery, Penelope, Matthew, and Abigail. Riley was heard saying, \"if Abigail is an egoist then (Matthew is an altruist if and only if Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2122, \"statements\": [[\"->\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"te... | {"split": "train", "index": 11012} |
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, Elizabeth, William, Sofia, and Chloe. According to Logan, \"(Sofia is a fool and Elizabeth is a fool) and (if Logan is a sage then Sofia is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2123, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 11013} |
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, Emily, Michael, Benjamin, and Logan. Oliver was heard saying, \"it is not the case that (Benjamin is a hero and Michael is a hero)\". \"(Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2124, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 11014} |
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: Henry, Jack, Sophia, Aurora, and Jackson. In Henry's words: \"(if Aurora is a fool then Jackson is a sage) and (Jackson is a sage or Jack is a sage or Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2125, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [... | {"split": "train", "index": 11015} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Zoey, Sophia, Benjamin, and Noah. In Aurora's words: \"(Zoey is a hero) or Sophia is a villain\". Zoey stated, \"Sophia is a hero or (Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2126, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 11016} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Ava, Ethan, Grace, and Avery. As Jack put it, \"if (if Grace is a devil then Ava is a devil) then (Avery is an angel)\". Ava expressed that (Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2127, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"... | {"split": "train", "index": 11017} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Mason, Amelia, Logan, and Sophia. \"Mason is a pioneer\" - Henry. Mason expressed that if (Mason is a laggard) then (Sophia is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2128, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3... | {"split": "train", "index": 11018} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, William, Ella, Victoria, and Scarlett. According to Chloe, \"Chloe is a knight\". William remarked, \"if (Chloe is a knight) then (William is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2129, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling... | {"split": "train", "index": 11019} |
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, Evelyn, Zoey, Aurora, and Ella. Ethan said that (if Ella is a villain then Zoey is a villain) and (Zoey is a hero if and only if Ella is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2130, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 0]], [\"not\", [\"n... | {"split": "train", "index": 11020} |
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: Samuel, Oliver, Amelia, Jacob, and Lily. Samuel noted, \"Amelia is a fool and (Oliver is a sage or Jacob is a fool)\". \"Samuel is a fool\" - Oliver. \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2131, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 0], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 11021} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Noah, James, Logan, and Aiden. \"(if Aiden is a pioneer then Noah is a laggard) or Noah is a laggard or (Noah is a laggard),\" Zoey menti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2132, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"lying\", 1], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2... | {"split": "train", "index": 11022} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Mia, Henry, Avery, and Joseph. As Benjamin put it, \"Benjamin is a knight\". In Mia's words: \"if (if Henry is a knight then Joseph is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2133, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 11023} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Sophia, Jackson, Zoey, and Elizabeth. Aria was heard saying, \"(Zoey is an altruist if and only if Sophia is an altruist) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2134, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]],... | {"split": "train", "index": 11024} |
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, Sofia, Aria, Chloe, and Lily. Amelia was heard saying, \"Aria is a laggard\". Sofia expressed that it is not the case that (Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2135, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"lying\", 0]]], [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 11025} |
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, Daniel, Lucas, Luke, and Ava. In a statement by Emily: \"Ava is a devil\". Daniel was heard saying, \"if (Luke is an angel) then (Ava is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2136, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 11026} |
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, Benjamin, Owen, Joseph, and Mia. As Jacob put it, \"(Joseph is a knight and Mia is a knight) if and only if (Owen is a knight if and only if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2137, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth... | {"split": "train", "index": 11027} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Chloe, Jacob, Emma, and Penelope. As Sofia put it, \"(Chloe is a laggard if and only if Chloe is a pioneer) if and only if (if Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2138, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"lyin... | {"split": "train", "index": 11028} |
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: Abigail, Michael, Evelyn, William, and Mason. According to Abigail, \"(Evelyn is a hero or William is a villain or William is a hero) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2139, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"lying\", 1], [\"... | {"split": "train", "index": 11029} |
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: Jackson, Sofia, Emily, David, and Noah. Jackson stated, \"(Sofia is an altruist) or (if David is an altruist then Emily is an altruist)\". Sofi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2140, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 11030} |
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, Grace, Evelyn, Daniel, and Penelope. Logan expressed that Evelyn is a fool. Grace was heard saying, \"(if Daniel is a fool then Evelyn is a fool) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2141, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]... | {"split": "train", "index": 11031} |
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: William, Evelyn, Benjamin, Riley, and Aria. \"if (Aria is a villain) then (Evelyn is a hero or William is a hero or Aria is a villain),\" William cla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2142, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lyin... | {"split": "train", "index": 11032} |
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, William, Joseph, Owen, and Avery. In Daniel's words: \"(Owen is a sage or Avery is a sage or Daniel is a sage) or (Joseph is a sage if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2143, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 2], [\"->\", [\"<=>\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 11033} |
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, Owen, Chloe, Evelyn, and Avery. Matthew said that (Matthew is a saint and Evelyn is a sinner and Owen is a sinner) and (Chloe is a sinner or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2144, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 11034} |
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: Benjamin, Sofia, Avery, Lucas, and Charlotte. Benjamin asserted: \"(Lucas is a laggard) and (Avery is a laggard or Charlotte is a pioneer)\". S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2145, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\"or\", [\"lying\"... | {"split": "train", "index": 11035} |
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, Lucas, David, Sophia, and Henry. Riley told you that Henry is a devil if and only if (Sophia is an angel if and only if David is an angel). As L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2146, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lyi... | {"split": "train", "index": 11036} |
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, Ava, Samuel, Sebastian, and Jackson. Mia asserted: \"Sebastian is a sinner\". As Ava put it, \"(Mia is a saint or Samuel is a saint or Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2147, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telli... | {"split": "train", "index": 11037} |
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, Zoey, Lily, and James. \"if (Jacob is an egoist) then Jacob is an altruist,\" Liam claimed. As Jacob put it, \"if (Lily is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2148, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\... | {"split": "train", "index": 11038} |
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, Harper, William, Elizabeth, and Michael. \"it is not the case that (William is a villain if and only if Elizabeth is a villain)\" - Sophia. H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2149, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 11039} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Jackson, Riley, Ella, and James. In a statement by Joseph: \"(if Ella is a saint then Jackson is a sinner) and James is a sinner and (if Jose... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2150, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"->\", [\"no... | {"split": "train", "index": 11040} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Harper, Jacob, Benjamin, Owen, and Aria. Harper noted, \"(Owen is a sage and Jacob is a fool and Aria is a fool) if and only if (if Jacob is a fool then Ar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2151, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 0]], ... | {"split": "train", "index": 11041} |
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, Matthew, Jacob, Benjamin, and James. Joseph noted, \"James is a fool and (Joseph is a sage or Benjamin is a fool or Matthew is a fool) and (Jacob i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2152, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"telling-tr... | {"split": "train", "index": 11042} |
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, Noah, Penelope, Ella, and Lily. Jacob noted, \"(if Penelope is a knave then Lily is a knave) and (Lily is a knight)\". Noah asserted: \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2153, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [... | {"split": "train", "index": 11043} |
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: David, Amelia, Matthew, Elizabeth, and Evelyn. David noted, \"Amelia is a pioneer\". Amelia said, \"if (Elizabeth is a pioneer or David is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 11044} |
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, Owen, Sophia, Ethan, and Chloe. \"(Owen is an angel or Ethan is a devil) if and only if (Sophia is a devil or Owen is an angel),\" Logan claimed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\",... | {"split": "train", "index": 11045} |
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: Sebastian, David, Logan, Emma, and Daniel. Sebastian remarked, \"(if Logan is an altruist then Logan is an egoist) if and only if (Logan is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"->\", [\"lying\", 0], [\"not\", [\"telling-truth\", 0]]],... | {"split": "train", "index": 11046} |
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, Lily, James, Aurora, and Grace. \"it is not the case that (Lily is a pioneer if and only if Grace is a pioneer),\" Sophia mentioned. \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 11047} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Joseph, Penelope, Henry, and Emily. William noted, \"(Joseph is a knave) and (Penelope is a knight if and only if Henry is a knave) and Emil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 4]], [\"telling-truth\", 0], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"tell... | {"split": "train", "index": 11048} |
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, Amelia, William, Oliver, and Avery. Sophia stated, \"if (Amelia is a knave or Oliver is a knight) then (Sophia is a knight and Avery is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], ... | {"split": "train", "index": 11049} |
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: Henry, Isabella, Aurora, Logan, and Penelope. \"(Aurora is a fool if and only if Penelope is a sage) or (Aurora is a sage if and only if Aurora is a fool),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"t... | {"split": "train", "index": 11050} |
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, Ava, Joseph, Daniel, and Benjamin. Ella stated, \"(Ava is a saint and Daniel is a saint) and (Benjamin is a saint)\". Ava noted, \"(Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\",... | {"split": "train", "index": 11051} |
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: Aurora, Ella, Benjamin, Matthew, and Aria. \"Benjamin is a pioneer and Aria is a laggard,\" Aurora declared. \"if (if Matthew is a pioneer then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 3]... | {"split": "train", "index": 11052} |
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, Aurora, William, Benjamin, and Logan. Emily stated, \"Emily is an angel\". As Aurora put it, \"it is not the case that (William is a devil and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]], ... | {"split": "train", "index": 11053} |
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, Daniel, Logan, Harper, and James. \"it is not the case that (James is a sinner)\" - Matthew. \"Logan is a sinner\" - Daniel. \"(Harper is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]], [\"... | {"split": "train", "index": 11054} |
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, Aria, Jackson, Ella, and Victoria. \"(Jackson is a pioneer and Victoria is a laggard) if and only if (Aria is a pioneer and Ella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"and\", [\"tellin... | {"split": "train", "index": 11055} |
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: Lucas, Emma, Matthew, Elizabeth, and Ethan. Lucas expressed that (Emma is a devil and Elizabeth is an angel) and (Elizabeth is a devil) and (if Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 0], [\"->\", [\"not\", [\"telling-tr... | {"split": "train", "index": 11056} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, James, Oliver, Jack, and Samuel. Chloe noted, \"(Jack is a knave or James is a knave or Chloe is a knight) if and only if (Samuel is a knave i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 11057} |
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, Benjamin, Liam, Olivia, and Penelope. Sophia noted, \"(Penelope is a laggard or Penelope is a pioneer or Liam is a laggard) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying... | {"split": "train", "index": 11058} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Penelope, Alexander, Logan, and Joseph. In Jackson's words: \"if (Joseph is a fool) then (Logan is a sage or Logan is a fool or Alexander is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"telling-tr... | {"split": "train", "index": 11059} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, James, Elizabeth, Lily, and Zoey. \"(Oliver is a pioneer if and only if Lily is a laggard) or (Lily is a pioneer) or (Elizabeth is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1... | {"split": "train", "index": 11060} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Henry, Victoria, Lucas, and Evelyn. \"(Lucas is an altruist or Lucas is an egoist) if and only if (Henry is an egoist or Victoria is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [... | {"split": "train", "index": 11061} |
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, Penelope, Jacob, Avery, and Charlotte. \"Jacob is a devil if and only if (if Avery is a devil then Jacob is an angel)\" - Zoey. Penelope expresse... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling... | {"split": "train", "index": 11062} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Zoey, Elizabeth, Ella, and James. Aurora commented, \"it is not the case that (James is a hero or Elizabeth is a villain or Aurora is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\",... | {"split": "train", "index": 11063} |
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: Jackson, Chloe, Zoey, Sebastian, and Joseph. \"if (Sebastian is an angel if and only if Zoey is a devil) then (Chloe is a devil and Zoey is a devil and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", ... | {"split": "train", "index": 11064} |
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, Zoey, Sebastian, Owen, and Michael. \"(Zoey is an altruist if and only if Zoey is an egoist) or (Sebastian is an altruist) or (Owen is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\"... | {"split": "train", "index": 11065} |
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: Mason, Victoria, Joseph, Matthew, and Grace. In a statement by Mason: \"it is not the case that (Mason is a saint or Joseph is a saint)\". Victoria a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"... | {"split": "train", "index": 11066} |
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: Grace, Emma, Mia, Amelia, and Chloe. Grace said, \"Emma is a villain.\" Emma stated, \"Chloe is a villain\". \"(Grace is a villain) if and only if (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"lying\", 1], [\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 11067} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Lily, Ava, Liam, and Matthew. Daniel was heard saying, \"if (if Matthew is a knave then Liam is a knight) then (Liam is a knight)\". \"Matthe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"telling-trut... | {"split": "train", "index": 11068} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, Mason, Jackson, Oliver, and Ava. Logan stated, \"(if Ava is an altruist then Mason is an altruist) or (Jackson is an altruist) or (if Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 11069} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Avery, Aurora, Aiden, Ella, and Grace. In Avery's words: \"(if Aurora is a villain then Aurora is a hero) or (if Avery is a hero then Grace is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"<=>\", ... | {"split": "train", "index": 11070} |
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, Owen, Luke, Olivia, and Charlotte. \"(Charlotte is a sinner or Benjamin is a saint) and (Owen is a saint and Charlotte is a saint),\" Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 3]... | {"split": "train", "index": 11071} |
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: Alexander, Mason, James, Isabella, and Liam. \"if (Liam is an egoist or Isabella is an egoist) then (James is an egoist and James is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"<=>\", [\... | {"split": "train", "index": 11072} |
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, Victoria, Isabella, Sophia, and Jackson. As Matthew put it, \"(Isabella is a pioneer or Matthew is a pioneer) and (Jackson is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\... | {"split": "train", "index": 11073} |
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, Oliver, Amelia, Ethan, and Victoria. Henry was heard saying, \"(Victoria is a villain or Ethan is a hero or Victoria is a hero) or (Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 11074} |
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: Mia, Ava, Lucas, Michael, and Oliver. \"Mia is a knight and (Oliver is a knight and Ava is a knave) and (Oliver is a knight)\" - Mia. According to Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"t... | {"split": "train", "index": 11075} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Isabella, Ella, Elizabeth, Emma, and Noah. Isabella expressed that it is not the case that (Ella is a villain and Noah is a hero). \"it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"->\"... | {"split": "train", "index": 11076} |
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, Samuel, Evelyn, Chloe, and Ella. Riley said that Samuel is an angel or (Samuel is an angel and Chloe is a devil and Chloe is an angel). Samuel n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"and\... | {"split": "train", "index": 11077} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Henry, Scarlett, Luke, Chloe, and Elizabeth. Henry commented, \"it is not the case that (if Scarlett is an altruist then Chloe is an egoist)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 0]]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4]... | {"split": "train", "index": 11078} |
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: Lily, Liam, Abigail, Samuel, and Sophia. In a statement by Lily: \"it is not the case that (Samuel is a sinner if and only if Abigail is a saint)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 11079} |
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: Emily, Sebastian, Emma, Harper, and James. Emily noted, \"James is a fool\". Sebastian said that Emma is a sage. According to Emma, \"(Sebastian is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"lying\", 4], [\"not\", [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 11080} |
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: Scarlett, Liam, Michael, Ella, and Lily. Scarlett was heard saying, \"(Ella is an altruist or Michael is an altruist) if and only if (Ella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"->\"... | {"split": "train", "index": 11081} |
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, Ella, Olivia, William, and Matthew. Aiden asserted: \"(Ella is a villain and William is a villain and Matthew is a hero) or (Ella is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 11082} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Abigail, Samuel, Noah, and James. David asserted: \"James is an angel\". Abigail noted, \"if (if Noah is a devil then David is an angel) then (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]],... | {"split": "train", "index": 11083} |
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, Benjamin, Sofia, Abigail, and Matthew. Grace asserted: \"it is not the case that (Sofia is a knave)\". Benjamin said that it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"lying\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling... | {"split": "train", "index": 11084} |
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: Aurora, Lucas, Elizabeth, Ethan, and Sebastian. Aurora said that Lucas is a sage. Lucas asserted: \"it is not the case that (Sebastian is a sage if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 1], [\"telling-truth\", 3]], [\"lying\", 0]], [\"->\", [\"and\"... | {"split": "train", "index": 11085} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Logan, Emma, Avery, and Owen. \"(Logan is a devil and Owen is an angel) if and only if (if Avery is an angel then Avery is a devil),\" David men... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2... | {"split": "train", "index": 11086} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Amelia, Penelope, Jackson, and Logan. Aiden told you that (Amelia is an egoist if and only if Logan is an altruist) or (Amelia is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 3], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telli... | {"split": "train", "index": 11087} |
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: Grace, Abigail, Sofia, James, and Ella. Grace was heard saying, \"Sofia is an egoist\". Abigail commented, \"if (Sofia is an egoist and Ella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], ... | {"split": "train", "index": 11088} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Ethan, Harper, Emily, and Alexander. Ava was heard saying, \"Alexander is a hero if and only if (if Emily is a villain then Ethan is a villain)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\",... | {"split": "train", "index": 11089} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Victoria, Chloe, James, Charlotte, and Liam. \"Charlotte is a villain,\" Victoria claimed. Chloe told you that it is not the case that (Liam is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lyin... | {"split": "train", "index": 11090} |
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, Oliver, Scarlett, Ella, and Lily. As Emily put it, \"(Scarlett is a saint) and (Scarlett is a sinner) and (Ella is a sinner)\". Oliver noted, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"->\", [... | {"split": "train", "index": 11091} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emily, Penelope, Ava, Noah, and David. Emily noted, \"(David is an altruist) and (David is an egoist and Emily is an altruist) and (if David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 0]], [\"... | {"split": "train", "index": 11092} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Victoria, Alexander, Sofia, Harper, and Michael. Victoria stated, \"it is not the case that (Sofia is a sage or Michael is a sage)\". Alexander told you th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\... | {"split": "train", "index": 11093} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: James, Owen, William, Amelia, and Victoria. James commented, \"William is a pioneer\". \"(if Victoria is a laggard then Victoria is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4], [\"->\", [\"not\... | {"split": "train", "index": 11094} |
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: Jackson, Henry, Avery, Sophia, and Ella. \"Henry is a devil,\" Jackson mentioned. \"(Sophia is a devil and Avery is an angel) or (Avery is a devil or S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 4]], [\"not\", [\"or\", [\"telling-truth\", 3], [... | {"split": "train", "index": 11095} |
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, Samuel, Mia, Liam, and Noah. Ethan told you that (Ethan is a pioneer and Liam is a pioneer) or (if Ethan is a pioneer then Liam is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 11096} |
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, Sebastian, Benjamin, Elizabeth, and James. Charlotte stated, \"it is not the case that (Sebastian is a laggard)\". Sebastian said th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 4]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"te... | {"split": "train", "index": 11097} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Jackson, Evelyn, Jacob, and Ella. Scarlett said that Evelyn is a laggard if and only if (if Scarlett is a pioneer then Jackson is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"ly... | {"split": "train", "index": 11098} |
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: Zoey, Isabella, Ava, Ethan, and Lucas. Zoey told you that if (Ethan is a fool if and only if Ava is a sage) then (Ethan is a fool). Isabella noted, \"(Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\... | {"split": "train", "index": 11099} |
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