diff --git "a/2hop_Composed_random_noadj.json" "b/2hop_Composed_random_noadj.json" new file mode 100644--- /dev/null +++ "b/2hop_Composed_random_noadj.json" @@ -0,0 +1,11966 @@ +{ + "example1": { + "in_context_example0": { + "question": "Sterpuses are dumpuses. Everything that is a yumpus, an impus, or a gorpus is a tumpus. Everything that is a wumpus or a gorpus or a rompus is a dumpus. Everything that is a yumpus or an impus or a gorpus is a numpus. Each shumpus is a zumpus. Polly is a rompus, a zumpus, and a lempus. Polly is a gorpus and a shumpus and a sterpus.", + "query": "Prove: Polly is a numpus.", + "chain_of_thought": [ + "Polly is a gorpus, a shumpus, and a sterpus.", + "Polly is a gorpus.", + "Polly is a yumpus, an impus, or a gorpus.", + "Everything that is a yumpus or an impus or a gorpus is a numpus.", + "Polly is a numpus." + ] + }, + "in_context_example1": { + "question": "Each jompus is a rompus. Everything that is a dumpus and a lorpus and a grimpus is a shumpus. Everything that is a dumpus, a lempus, and a gorpus is a lorpus. Every sterpus is a lorpus. Everything that is a dumpus, a lempus, and a gorpus is a sterpus, a vumpus, and a jompus. Rex is a grimpus. Rex is a dumpus. Rex is a lorpus. Rex is a dumpus. Rex is a lempus. Rex is a lorpus. Rex is a gorpus.", + "query": "Prove: Rex is a vumpus.", + "chain_of_thought": [ + "Rex is a gorpus.", + "Rex is a lempus.", + "Rex is a dumpus.", + "Rex is a dumpus and a lempus and a gorpus.", + "Everything that is a dumpus, a lempus, and a gorpus is a sterpus, a vumpus, and a jompus.", + "Rex is a sterpus and a vumpus and a jompus.", + "Rex is a vumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a wumpus and a yumpus and an impus is a jompus. Max is a yumpus. Max is a wumpus. Max is an impus. Lorpuses are grimpuses. Numpuses are dumpuses. Everything that is a wumpus and a tumpus and a brimpus is a lorpus, a rompus, and a numpus. Everything that is a wumpus and a tumpus and a brimpus is a gorpus. Max is a wumpus. Max is a tumpus. Max is a vumpus. Max is a brimpus.", + "query": "Prove: Max is a rompus.", + "chain_of_thought": [ + "Max is a brimpus.", + "Max is a tumpus.", + "Max is a wumpus.", + "Max is a wumpus and a tumpus and a brimpus.", + "Everything that is a wumpus and a tumpus and a brimpus is a lorpus, a rompus, and a numpus.", + "Max is a lorpus and a rompus and a numpus.", + "Max is a rompus." + ] + }, + "in_context_example3": { + "question": "Polly is a sterpus. Everything that is a sterpus, an impus, and a jompus is a grimpus and a brimpus and a numpus. Each numpus is a lempus. Everything that is a sterpus, an impus, and a jompus is a lorpus. Polly is a vumpus. Polly is a lempus. Everything that is a sterpus, a vumpus, and a lempus is a gorpus. Brimpuses are wumpuses. Polly is a lempus. Polly is a sterpus. Polly is an impus. Polly is a jompus.", + "query": "Prove: Polly is a grimpus.", + "chain_of_thought": [ + "Polly is a jompus.", + "Polly is an impus.", + "Polly is a sterpus.", + "Polly is a sterpus and an impus and a jompus.", + "Everything that is a sterpus, an impus, and a jompus is a grimpus and a brimpus and a numpus.", + "Polly is a grimpus and a brimpus and a numpus.", + "Polly is a grimpus." + ] + }, + "in_context_example4": { + "question": "Numpuses are tumpuses, impuses, and shumpuses. Tumpuses are rompuses. Impuses are jompuses. Every numpus is a lempus. Everything that is a shumpus, a lorpus, or a zumpus is a rompus. Wren is a brimpus. Wren is a numpus.", + "query": "Prove: Wren is a shumpus or an impus or a tumpus.", + "chain_of_thought": [ + "Wren is a numpus.", + "Numpuses are tumpuses, impuses, and shumpuses.", + "Wren is a tumpus and an impus and a shumpus.", + "Wren is a shumpus.", + "Wren is a shumpus, an impus, or a tumpus." + ] + }, + "in_context_example5": { + "question": "Tumpuses are shumpuses. Wren is a gorpus. Brimpuses are dumpuses. Tumpuses are wumpuses and impuses and lorpuses. Impuses are dumpuses. Each vumpus is a sterpus. Lorpuses are zumpuses. Every gorpus is a wumpus. Wren is a yumpus, a sterpus, and a shumpus. Wren is a vumpus, Wren is not a wumpus, and Wren is a brimpus.", + "query": "Prove: Wren is not a tumpus.", + "chain_of_thought": [ + "Wren is a vumpus and Wren is not a wumpus and Wren is a brimpus.", + "Wren is not a wumpus.\n\n", + "Assume Wren is a tumpus.", + "Tumpuses are wumpuses and impuses and lorpuses.", + "Wren is a wumpus, an impus, and a lorpus.", + "Wren is a wumpus.", + "This contradicts with Wren is not a wumpus.", + "Wren is not a tumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Max is a shumpus. Everything that is a dumpus and a gorpus and a vumpus is a lempus, a rompus, and a wumpus. Everything that is a shumpus, a dumpus, and a grimpus is a brimpus. Each wumpus is a jompus. Max is a dumpus. Rompuses are yumpuses. Max is a grimpus. Everything that is a dumpus, a gorpus, and a vumpus is a zumpus. Max is a dumpus. Max is a gorpus. Max is a tumpus. Max is a vumpus.", + "query": "Prove: Max is a lempus.", + "chain_of_thought": [ + "Max is a vumpus.", + "Max is a gorpus.", + "Max is a dumpus.", + "Max is a dumpus and a gorpus and a vumpus.", + "Everything that is a dumpus and a gorpus and a vumpus is a lempus, a rompus, and a wumpus.", + "Max is a lempus and a rompus and a wumpus.", + "Max is a lempus." + ] + }, + "in_context_example7": { + "question": "Polly is a shumpus. Polly is a yumpus. Everything that is a shumpus, a tumpus, and a dumpus is a gorpus. Everything that is a shumpus, a vumpus, and a gorpus is a lorpus. Everything that is a shumpus, a tumpus, and a dumpus is a sterpus. Every numpus is a vumpus. Yumpuses are sterpuses. Polly is a vumpus. Polly is a gorpus. Rompuses are impuses. Polly is a numpus, Polly is not a sterpus, and Polly is a rompus. Polly is a tumpus. Polly is a wumpus and a lorpus and a yumpus. Polly is a dumpus.", + "query": "Prove: Polly is not a shumpus.", + "chain_of_thought": [ + "Polly is a numpus and Polly is not a sterpus and Polly is a rompus.", + "Polly is not a sterpus.", + "Polly is a dumpus.", + "Polly is a tumpus.\n\n", + "Assume Polly is a shumpus.", + "Polly is a shumpus, a tumpus, and a dumpus.", + "Everything that is a shumpus, a tumpus, and a dumpus is a sterpus.", + "Polly is a sterpus.", + "This contradicts with Polly is not a sterpus.", + "Polly is not a shumpus.\n\n" + ] + }, + "test_example": { + "question": "Every zumpus is a lempus and a jompus and a vumpus. Each lempus is a lorpus. Every vumpus is a rompus. Every zumpus is a gorpus. Everything that is a shumpus or a jompus or a rompus is a dumpus. Max is a gorpus. Max is a zumpus.", + "query": "Prove: Max is a jompus or a vumpus or an impus.", + "chain_of_thought": [ + "Max is a zumpus.", + "Every zumpus is a lempus and a jompus and a vumpus.", + "Max is a lempus and a jompus and a vumpus.", + "Max is a jompus.", + "Max is a jompus, a vumpus, or an impus." + ] + } + }, + "example2": { + "in_context_example0": { + "question": "Each zumpus is a vumpus. Grimpuses are dumpuses and yumpuses and zumpuses. Every jompus is a vumpus. Each lempus is a dumpus. Grimpuses are lempuses. Rex is a lempus. Every gorpus is a sterpus. Each yumpus is a shumpus. Rex is a lempus, a wumpus, and a brimpus. Rex is a gorpus, Rex is not a dumpus, and Rex is a jompus.", + "query": "Prove: Rex is not a grimpus.", + "chain_of_thought": [ + "Rex is a gorpus, Rex is not a dumpus, and Rex is a jompus.", + "Rex is not a dumpus.\n\n", + "Assume Rex is a grimpus.", + "Grimpuses are dumpuses and yumpuses and zumpuses.", + "Rex is a dumpus and a yumpus and a zumpus.", + "Rex is a dumpus.", + "This contradicts with Rex is not a dumpus.", + "Rex is not a grimpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Each rompus is a shumpus. Numpuses are yumpuses. Every sterpus is a lempus. Each dumpus is a gorpus. Dumpuses are lempuses, grimpuses, and numpuses. Polly is a sterpus. Grimpuses are sterpuses. Brimpuses are jompuses. Polly is a wumpus and a yumpus and a sterpus. Polly is a brimpus and Polly is a rompus and Polly is not a lempus.", + "query": "Prove: Polly is not a dumpus.", + "chain_of_thought": [ + "Polly is a brimpus, Polly is a rompus, and Polly is not a lempus.", + "Polly is not a lempus.\n\n", + "Assume Polly is a dumpus.", + "Dumpuses are lempuses, grimpuses, and numpuses.", + "Polly is a lempus, a grimpus, and a numpus.", + "Polly is a lempus.", + "This contradicts with Polly is not a lempus.", + "Polly is not a dumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Rompuses are sterpuses. Vumpuses are brimpuses. Impuses are lempuses. Each sterpus is a shumpus. Max is a sterpus. Rompuses are shumpuses, impuses, and zumpuses. Every zumpus is a lorpus. Each zumpus is a sterpus. Max is a yumpus, a tumpus, and a grimpus. Max is a vumpus and Max is not a shumpus and Max is a zumpus.", + "query": "Prove: Max is not a rompus.", + "chain_of_thought": [ + "Max is a vumpus and Max is not a shumpus and Max is a zumpus.", + "Max is not a shumpus.\n\n", + "Assume Max is a rompus.", + "Rompuses are shumpuses, impuses, and zumpuses.", + "Max is a shumpus and an impus and a zumpus.", + "Max is a shumpus.", + "This contradicts with Max is not a shumpus.", + "Max is not a rompus.\n\n" + ] + }, + "in_context_example3": { + "question": "Tumpuses are vumpuses. Everything that is a wumpus, a numpus, or an impus is a rompus. Everything that is a grimpus or a wumpus or a vumpus is a lorpus. Shumpuses are lempuses. Everything that is a wumpus, a numpus, or an impus is a shumpus, a zumpus, and a tumpus. Stella is a lorpus. Stella is a wumpus.", + "query": "Prove: Stella is a zumpus.", + "chain_of_thought": [ + "Stella is a wumpus.", + "Stella is a wumpus, a numpus, or an impus.", + "Everything that is a wumpus, a numpus, or an impus is a shumpus, a zumpus, and a tumpus.", + "Stella is a shumpus and a zumpus and a tumpus.", + "Stella is a zumpus." + ] + }, + "in_context_example4": { + "question": "Polly is a numpus. Everything that is a lempus, a zumpus, and a vumpus is a sterpus. Everything that is a brimpus, a rompus, or an impus is a lorpus. Everything that is a lempus and a zumpus and a vumpus is a rompus. Polly is a lempus. Polly is a jompus. Everything that is a jompus, a lempus, and a numpus is a tumpus. Polly is a grimpus. Polly is a lempus. Polly is a zumpus. Polly is a vumpus.", + "query": "Prove: Polly is a rompus, a yumpus, or a dumpus.", + "chain_of_thought": [ + "Polly is a vumpus.", + "Polly is a zumpus.", + "Polly is a lempus.", + "Polly is a lempus and a zumpus and a vumpus.", + "Everything that is a lempus and a zumpus and a vumpus is a rompus.", + "Polly is a rompus.", + "Polly is a rompus, a yumpus, or a dumpus." + ] + }, + "in_context_example5": { + "question": "Each yumpus is a vumpus. Everything that is a rompus, a lorpus, or a numpus is an impus. Sterpuses are shumpuses. Each jompus is a lorpus. Each jompus is a sterpus, a rompus, and a yumpus. Max is a vumpus. Max is a jompus.", + "query": "Prove: Max is a dumpus or a rompus or a grimpus.", + "chain_of_thought": [ + "Max is a jompus.", + "Each jompus is a sterpus, a rompus, and a yumpus.", + "Max is a sterpus and a rompus and a yumpus.", + "Max is a rompus.", + "Max is a dumpus or a rompus or a grimpus." + ] + }, + "in_context_example6": { + "question": "Lempuses are rompuses. Vumpuses are zumpuses. Each lorpus is a sterpus. Lempuses are lorpuses, wumpuses, and vumpuses. Everything that is a wumpus or a shumpus or a dumpus is a sterpus. Sally is a zumpus. Sally is a lempus.", + "query": "Prove: Sally is a vumpus, a numpus, or a wumpus.", + "chain_of_thought": [ + "Sally is a lempus.", + "Lempuses are lorpuses, wumpuses, and vumpuses.", + "Sally is a lorpus, a wumpus, and a vumpus.", + "Sally is a wumpus.", + "Sally is a vumpus, a numpus, or a wumpus." + ] + }, + "in_context_example7": { + "question": "Stella is a gorpus. Stella is an impus. Stella is a rompus. Every dumpus is a zumpus. Everything that is a rompus, a lorpus, and a sterpus is a jompus. Each sterpus is a vumpus. Everything that is a rompus and an impus and a tumpus is a vumpus. Gorpuses are yumpuses. Everything that is a rompus and a lorpus and a sterpus is a yumpus. Stella is a tumpus. Stella is not a yumpus, Stella is a dumpus, and Stella is a sterpus. Stella is a rompus. Stella is a tumpus, a gorpus, and an impus. Stella is a sterpus.", + "query": "Prove: Stella is not a lorpus.", + "chain_of_thought": [ + "Stella is not a yumpus and Stella is a dumpus and Stella is a sterpus.", + "Stella is not a yumpus.", + "Stella is a sterpus.\n\n", + "Assume Stella is a lorpus.", + "Stella is a rompus.", + "Stella is a rompus and a lorpus and a sterpus.", + "Everything that is a rompus and a lorpus and a sterpus is a yumpus.", + "Stella is a yumpus.", + "This contradicts with Stella is not a yumpus.", + "Stella is not a lorpus.\n\n" + ] + }, + "test_example": { + "question": "Each jompus is a yumpus and a numpus and an impus. Jompuses are rompuses. Everything that is a zumpus, a numpus, or a grimpus is a gorpus. Each yumpus is a dumpus. Impuses are grimpuses. Alex is a vumpus. Alex is a jompus.", + "query": "Prove: Alex is a numpus, a lempus, or a tumpus.", + "chain_of_thought": [ + "Alex is a jompus.", + "Each jompus is a yumpus and a numpus and an impus.", + "Alex is a yumpus and a numpus and an impus.", + "Alex is a numpus.", + "Alex is a numpus, a lempus, or a tumpus." + ] + } + }, + "example3": { + "in_context_example0": { + "question": "Wumpuses are lorpuses. Every tumpus is a rompus and a zumpus and a wumpus. Everything that is a rompus or a sterpus or a numpus is a jompus. Zumpuses are shumpuses. Tumpuses are jompuses. Wren is an impus. Wren is a tumpus.", + "query": "Prove: Wren is a lempus or a gorpus or a rompus.", + "chain_of_thought": [ + "Wren is a tumpus.", + "Every tumpus is a rompus and a zumpus and a wumpus.", + "Wren is a rompus and a zumpus and a wumpus.", + "Wren is a rompus.", + "Wren is a lempus or a gorpus or a rompus." + ] + }, + "in_context_example1": { + "question": "Sterpuses are impuses. Everything that is a brimpus or a tumpus or a jompus is a wumpus. Grimpuses are sterpuses, lempuses, and brimpuses. Lempuses are rompuses. Grimpuses are lorpuses. Wren is a rompus. Wren is a grimpus.", + "query": "Prove: Wren is a brimpus, a zumpus, or a numpus.", + "chain_of_thought": [ + "Wren is a grimpus.", + "Grimpuses are sterpuses, lempuses, and brimpuses.", + "Wren is a sterpus and a lempus and a brimpus.", + "Wren is a brimpus.", + "Wren is a brimpus or a zumpus or a numpus." + ] + }, + "in_context_example2": { + "question": "Rex is a gorpus. Rex is a brimpus. Every numpus is a vumpus. Everything that is a brimpus, a shumpus, and a lempus is an impus. Rex is a numpus. Everything that is a tumpus, a zumpus, or a sterpus is a lorpus. Everything that is a brimpus, a shumpus, and a lempus is not a vumpus. Everything that is a tumpus, a zumpus, or a sterpus is a vumpus. Everything that is a zumpus or a rompus or a lorpus is a gorpus. Everything that is a brimpus, a gorpus, and a numpus is an impus. Rex is a brimpus. Rex is a lorpus. Rex is a shumpus. Rex is a lempus.", + "query": "Prove: Rex is not a zumpus.", + "chain_of_thought": [ + "Rex is a lempus.", + "Rex is a shumpus.", + "Rex is a brimpus.", + "Rex is a brimpus, a shumpus, and a lempus.", + "Everything that is a brimpus, a shumpus, and a lempus is not a vumpus.", + "Rex is not a vumpus.\n\n", + "Assume Rex is a zumpus.", + "Rex is a tumpus or a zumpus or a sterpus.", + "Everything that is a tumpus, a zumpus, or a sterpus is a vumpus.", + "Rex is a vumpus.", + "This contradicts with Rex is not a vumpus.", + "Rex is not a zumpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Sam is a lorpus. Sam is a shumpus. Sam is a sterpus. Everything that is a dumpus and a brimpus and a zumpus is a rompus. Everything that is a dumpus, a numpus, or a gorpus is a vumpus. Everything that is a rompus or a dumpus or a jompus is a shumpus. Everything that is a wumpus, a yumpus, or a brimpus is a lempus. Everything that is a rompus or a dumpus or a jompus is a lorpus. Everything that is a shumpus, a lorpus, and a sterpus is a gorpus. Sam is a dumpus. Sam is a gorpus. Sam is a brimpus. Sam is a dumpus. Sam is a brimpus. Sam is a zumpus.", + "query": "Prove: Sam is a lorpus, a lempus, and a rompus.", + "chain_of_thought": [ + "Sam is a zumpus.", + "Sam is a brimpus.", + "Sam is a dumpus.", + "Sam is a dumpus, a brimpus, and a zumpus.", + "Everything that is a dumpus and a brimpus and a zumpus is a rompus.", + "Sam is a rompus.", + "Sam is a brimpus.", + "Sam is a wumpus or a yumpus or a brimpus.", + "Everything that is a wumpus, a yumpus, or a brimpus is a lempus.", + "Sam is a lempus.", + "Sam is a dumpus.", + "Sam is a rompus or a dumpus or a jompus.", + "Everything that is a rompus or a dumpus or a jompus is a lorpus.", + "Sam is a lorpus.", + "Sam is a lorpus and a lempus and a rompus." + ] + }, + "in_context_example4": { + "question": "Numpuses are yumpuses. Impuses are yumpuses. Every numpus is a jompus, an impus, and a brimpus. Every jompus is a shumpus. Everything that is a zumpus, a brimpus, or a yumpus is a tumpus. Stella is a zumpus. Stella is a numpus.", + "query": "Prove: Stella is a lorpus or a brimpus or a vumpus.", + "chain_of_thought": [ + "Stella is a numpus.", + "Every numpus is a jompus, an impus, and a brimpus.", + "Stella is a jompus and an impus and a brimpus.", + "Stella is a brimpus.", + "Stella is a lorpus or a brimpus or a vumpus." + ] + }, + "in_context_example5": { + "question": "Stella is a grimpus. Lempuses are sterpuses. Everything that is a jompus, a dumpus, or a zumpus is a numpus. Stella is a tumpus. Zumpuses are rompuses. Everything that is a grimpus, a tumpus, and a brimpus is a yumpus. Each zumpus is a wumpus. Lorpuses are tumpuses. Lorpuses are brimpuses. Stella is a brimpus. Stella is a lorpus and a lempus and a zumpus. Stella is a brimpus and a yumpus and a shumpus. Stella is a dumpus. Stella is a numpus, Stella is not a rompus, and Stella is a gorpus.", + "query": "Prove: Stella is a tumpus and Stella is a numpus and Stella is not a zumpus.", + "chain_of_thought": [ + "Stella is a numpus and Stella is not a rompus and Stella is a gorpus.", + "Stella is not a rompus.\n\n", + "Assume Stella is a zumpus.", + "Zumpuses are rompuses.", + "Stella is a rompus.", + "This contradicts with Stella is not a rompus.", + "Stella is not a zumpus.\n\n", + "Stella is a dumpus.", + "Stella is a jompus, a dumpus, or a zumpus.", + "Everything that is a jompus, a dumpus, or a zumpus is a numpus.", + "Stella is a numpus.", + "Stella is a lorpus and a lempus and a zumpus.", + "Stella is a lorpus.", + "Lorpuses are tumpuses.", + "Stella is a tumpus.", + "Stella is a tumpus, Stella is a numpus, and Stella is not a zumpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a sterpus and a lorpus and a zumpus is an impus and a wumpus and a rompus. Fae is a sterpus. Every wumpus is a shumpus. Fae is a yumpus. Everything that is a sterpus, a lorpus, and a zumpus is a yumpus. Each impus is a gorpus. Fae is a gorpus. Everything that is a gorpus and a sterpus and a yumpus is a tumpus. Fae is a yumpus. Fae is a sterpus. Fae is a lorpus. Fae is a zumpus.", + "query": "Prove: Fae is a rompus.", + "chain_of_thought": [ + "Fae is a zumpus.", + "Fae is a lorpus.", + "Fae is a sterpus.", + "Fae is a sterpus, a lorpus, and a zumpus.", + "Everything that is a sterpus and a lorpus and a zumpus is an impus and a wumpus and a rompus.", + "Fae is an impus, a wumpus, and a rompus.", + "Fae is a rompus." + ] + }, + "in_context_example7": { + "question": "Brimpuses are gorpuses. Every dumpus is a jompus. Everything that is a shumpus or a numpus or a wumpus is a yumpus. Everything that is a shumpus, a numpus, or a wumpus is a brimpus and a grimpus and a dumpus. Everything that is a jompus or a shumpus or a lempus is a tumpus. Stella is a yumpus. Stella is a shumpus.", + "query": "Prove: Stella is a grimpus.", + "chain_of_thought": [ + "Stella is a shumpus.", + "Stella is a shumpus, a numpus, or a wumpus.", + "Everything that is a shumpus, a numpus, or a wumpus is a brimpus and a grimpus and a dumpus.", + "Stella is a brimpus, a grimpus, and a dumpus.", + "Stella is a grimpus." + ] + }, + "test_example": { + "question": "Alex is a tumpus. Each yumpus is a zumpus. Everything that is a lorpus and a yumpus and a dumpus is a wumpus. Everything that is a vumpus, a lorpus, and a tumpus is a lempus. Numpuses are not grimpuses. Lorpuses are jompuses. Brimpuses are grimpuses. Numpuses are sterpuses. Alex is a lorpus. Alex is a brimpus. Alex is a vumpus. Everything that is a lorpus and a yumpus and a dumpus is a grimpus. Alex is a yumpus, a lorpus, and a numpus. Alex is a lorpus. Alex is a zumpus and a rompus and a jompus. Alex is a yumpus.", + "query": "Prove: Alex is not a dumpus.", + "chain_of_thought": [ + "Alex is a yumpus, a lorpus, and a numpus.", + "Alex is a numpus.", + "Numpuses are not grimpuses.", + "Alex is not a grimpus.\n\n", + "Assume Alex is a dumpus.", + "Alex is a yumpus.", + "Alex is a lorpus.", + "Alex is a lorpus and a yumpus and a dumpus.", + "Everything that is a lorpus and a yumpus and a dumpus is a grimpus.", + "Alex is a grimpus.", + "This contradicts with Alex is not a grimpus.", + "Alex is not a dumpus.\n\n" + ] + } + }, + "example4": { + "in_context_example0": { + "question": "Each zumpus is a vumpus. Zumpuses are sterpuses, tumpuses, and numpuses. Each tumpus is a grimpus. Numpuses are brimpuses. Everything that is a sterpus, a lorpus, or a jompus is a grimpus. Alex is a yumpus. Alex is a zumpus.", + "query": "Prove: Alex is a wumpus or a numpus or a sterpus.", + "chain_of_thought": [ + "Alex is a zumpus.", + "Zumpuses are sterpuses, tumpuses, and numpuses.", + "Alex is a sterpus, a tumpus, and a numpus.", + "Alex is a sterpus.", + "Alex is a wumpus, a numpus, or a sterpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a gorpus, an impus, or a lorpus is a yumpus. Everything that is a rompus or an impus or a lempus is a dumpus. Numpuses are dumpuses. Everything that is a gorpus, an impus, or a lorpus is a zumpus and a numpus and a grimpus. Zumpuses are yumpuses. Fae is a dumpus. Fae is an impus.", + "query": "Prove: Fae is a grimpus.", + "chain_of_thought": [ + "Fae is an impus.", + "Fae is a gorpus, an impus, or a lorpus.", + "Everything that is a gorpus, an impus, or a lorpus is a zumpus and a numpus and a grimpus.", + "Fae is a zumpus, a numpus, and a grimpus.", + "Fae is a grimpus." + ] + }, + "in_context_example2": { + "question": "Each vumpus is a gorpus. Every shumpus is a lorpus and a yumpus and an impus. Sally is a tumpus. Shumpuses are wumpuses. Every brimpus is a tumpus. Each tumpus is a yumpus. Every lorpus is a lempus. Impuses are zumpuses. Sally is a lempus and a jompus and a gorpus. Sally is a brimpus and Sally is a vumpus and Sally is not a yumpus.", + "query": "Prove: Sally is not a shumpus.", + "chain_of_thought": [ + "Sally is a brimpus, Sally is a vumpus, and Sally is not a yumpus.", + "Sally is not a yumpus.\n\n", + "Assume Sally is a shumpus.", + "Every shumpus is a lorpus and a yumpus and an impus.", + "Sally is a lorpus and a yumpus and an impus.", + "Sally is a yumpus.", + "This contradicts with Sally is not a yumpus.", + "Sally is not a shumpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Shumpuses are numpuses. Max is a tumpus. Max is a vumpus. Each zumpus is a tumpus. Everything that is a tumpus, a vumpus, and a gorpus is a yumpus. Everything that is a vumpus, a dumpus, and a brimpus is a lempus, a shumpus, and a zumpus. Everything that is a vumpus, a dumpus, and a brimpus is a numpus. Max is a gorpus. Max is a yumpus. Max is a vumpus. Max is a dumpus. Max is a brimpus.", + "query": "Prove: Max is a lempus.", + "chain_of_thought": [ + "Max is a brimpus.", + "Max is a dumpus.", + "Max is a vumpus.", + "Max is a vumpus and a dumpus and a brimpus.", + "Everything that is a vumpus, a dumpus, and a brimpus is a lempus, a shumpus, and a zumpus.", + "Max is a lempus and a shumpus and a zumpus.", + "Max is a lempus." + ] + }, + "in_context_example4": { + "question": "Everything that is a shumpus or a jompus or a rompus is a tumpus, a sterpus, and a gorpus. Each sterpus is a yumpus. Everything that is a rompus, a numpus, or a brimpus is a dumpus. Everything that is a shumpus, a jompus, or a rompus is a zumpus. Each gorpus is a dumpus. Fae is a yumpus. Fae is a rompus.", + "query": "Prove: Fae is a tumpus.", + "chain_of_thought": [ + "Fae is a rompus.", + "Fae is a shumpus, a jompus, or a rompus.", + "Everything that is a shumpus or a jompus or a rompus is a tumpus, a sterpus, and a gorpus.", + "Fae is a tumpus and a sterpus and a gorpus.", + "Fae is a tumpus." + ] + }, + "in_context_example5": { + "question": "Impuses are shumpuses. Everything that is a shumpus or a dumpus or a lorpus is a brimpus. Everything that is a dumpus, a wumpus, or a gorpus is a numpus and an impus and a zumpus. Everything that is a dumpus or a wumpus or a gorpus is a shumpus. Numpuses are lempuses. Sally is a grimpus. Sally is a dumpus.", + "query": "Prove: Sally is a zumpus.", + "chain_of_thought": [ + "Sally is a dumpus.", + "Sally is a dumpus, a wumpus, or a gorpus.", + "Everything that is a dumpus, a wumpus, or a gorpus is a numpus and an impus and a zumpus.", + "Sally is a numpus, an impus, and a zumpus.", + "Sally is a zumpus." + ] + }, + "in_context_example6": { + "question": "Brimpuses are shumpuses. Everything that is a wumpus or a rompus or a shumpus is a tumpus. Everything that is a yumpus or a rompus or a jompus is a grimpus. Everything that is a yumpus, a rompus, or a jompus is a gorpus. Each numpus is a gorpus. Alex is an impus, a zumpus, and a lorpus. Alex is a rompus and a brimpus and a numpus.", + "query": "Prove: Alex is a grimpus.", + "chain_of_thought": [ + "Alex is a rompus, a brimpus, and a numpus.", + "Alex is a rompus.", + "Alex is a yumpus, a rompus, or a jompus.", + "Everything that is a yumpus or a rompus or a jompus is a grimpus.", + "Alex is a grimpus." + ] + }, + "in_context_example7": { + "question": "Everything that is an impus or a yumpus or a shumpus is a zumpus. Every wumpus is a lempus. Grimpuses are shumpuses. Vumpuses are gorpuses. Each grimpus is an impus. Alex is a zumpus and a lempus and a yumpus. Alex is a vumpus and a wumpus and a grimpus.", + "query": "Prove: Alex is a dumpus or a tumpus or an impus.", + "chain_of_thought": [ + "Alex is a vumpus and a wumpus and a grimpus.", + "Alex is a grimpus.", + "Each grimpus is an impus.", + "Alex is an impus.", + "Alex is a dumpus or a tumpus or an impus." + ] + }, + "test_example": { + "question": "Sally is a lorpus. Everything that is a lempus, a yumpus, and a tumpus is a brimpus. Every impus is a brimpus. Wumpuses are jompuses. Sally is a grimpus. Everything that is a lempus, a grimpus, and a lorpus is a sterpus. Everything that is a lempus, a yumpus, and a tumpus is a rompus. Dumpuses are gorpuses. Wumpuses are not brimpuses. Numpuses are shumpuses. Sally is a lempus. Sally is an impus. Sally is a dumpus, a numpus, and a wumpus. Sally is a yumpus. Sally is an impus and a shumpus and a grimpus. Sally is a tumpus.", + "query": "Prove: Sally is not a lempus.", + "chain_of_thought": [ + "Sally is a dumpus and a numpus and a wumpus.", + "Sally is a wumpus.", + "Wumpuses are not brimpuses.", + "Sally is not a brimpus.", + "Sally is a tumpus.", + "Sally is a yumpus.\n\n", + "Assume Sally is a lempus.", + "Sally is a lempus, a yumpus, and a tumpus.", + "Everything that is a lempus, a yumpus, and a tumpus is a brimpus.", + "Sally is a brimpus.", + "This contradicts with Sally is not a brimpus.", + "Sally is not a lempus.\n\n" + ] + } + }, + "example5": { + "in_context_example0": { + "question": "Lempuses are yumpuses. Lempuses are grimpuses and lorpuses and jompuses. Each lorpus is a sterpus. Grimpuses are gorpuses. Everything that is a jompus or a vumpus or a brimpus is a rompus. Max is a vumpus. Max is a lempus.", + "query": "Prove: Max is a zumpus or a lorpus or a jompus.", + "chain_of_thought": [ + "Max is a lempus.", + "Lempuses are grimpuses and lorpuses and jompuses.", + "Max is a grimpus, a lorpus, and a jompus.", + "Max is a jompus.", + "Max is a zumpus, a lorpus, or a jompus." + ] + }, + "in_context_example1": { + "question": "Every lempus is a numpus. Rex is a sterpus. Sterpuses are jompuses. Each gorpus is a tumpus. Every impus is a tumpus. Each vumpus is a brimpus. Each impus is a vumpus, a lempus, and a jompus. Every zumpus is a wumpus. Rex is a grimpus, a rompus, and a sterpus. Rex is a zumpus and Rex is not a jompus and Rex is a gorpus.", + "query": "Prove: Rex is not an impus.", + "chain_of_thought": [ + "Rex is a zumpus, Rex is not a jompus, and Rex is a gorpus.", + "Rex is not a jompus.\n\n", + "Assume Rex is an impus.", + "Each impus is a vumpus, a lempus, and a jompus.", + "Rex is a vumpus, a lempus, and a jompus.", + "Rex is a jompus.", + "This contradicts with Rex is not a jompus.", + "Rex is not an impus.\n\n" + ] + }, + "in_context_example2": { + "question": "Every grimpus is a shumpus. Every brimpus is an impus. Each brimpus is a numpus, a rompus, and a zumpus. Wumpuses are zumpuses. Rompuses are jompuses. Fae is a wumpus. Each tumpus is an impus. Numpuses are yumpuses. Fae is a wumpus and a jompus and a lempus. Fae is a grimpus and Fae is a tumpus and Fae is not a zumpus.", + "query": "Prove: Fae is not a brimpus.", + "chain_of_thought": [ + "Fae is a grimpus and Fae is a tumpus and Fae is not a zumpus.", + "Fae is not a zumpus.\n\n", + "Assume Fae is a brimpus.", + "Each brimpus is a numpus, a rompus, and a zumpus.", + "Fae is a numpus, a rompus, and a zumpus.", + "Fae is a zumpus.", + "This contradicts with Fae is not a zumpus.", + "Fae is not a brimpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Every lorpus is a gorpus. Rompuses are tumpuses. Each dumpus is a vumpus. Everything that is a shumpus or a wumpus or a jompus is a tumpus. Every rompus is a wumpus. Sam is a sterpus and a shumpus and an impus. Sam is a rompus and a dumpus and a lorpus.", + "query": "Prove: Sam is a zumpus or a grimpus or a wumpus.", + "chain_of_thought": [ + "Sam is a rompus and a dumpus and a lorpus.", + "Sam is a rompus.", + "Every rompus is a wumpus.", + "Sam is a wumpus.", + "Sam is a zumpus or a grimpus or a wumpus." + ] + }, + "in_context_example4": { + "question": "Fae is a numpus. Grimpuses are wumpuses. Lempuses are sterpuses. Everything that is a lorpus and a brimpus and a vumpus is not an impus. Each numpus is an impus. Everything that is a lorpus and a brimpus and a vumpus is a gorpus. Everything that is a lorpus, a tumpus, and a dumpus is a shumpus. Grimpuses are impuses and lempuses and yumpuses. Fae is a lorpus. Fae is a dumpus. Fae is a tumpus. Every yumpus is a shumpus. Fae is a gorpus. Fae is a lorpus. Fae is a brimpus. Fae is a vumpus.", + "query": "Prove: Fae is not a grimpus.", + "chain_of_thought": [ + "Fae is a vumpus.", + "Fae is a brimpus.", + "Fae is a lorpus.", + "Fae is a lorpus, a brimpus, and a vumpus.", + "Everything that is a lorpus and a brimpus and a vumpus is not an impus.", + "Fae is not an impus.\n\n", + "Assume Fae is a grimpus.", + "Grimpuses are impuses and lempuses and yumpuses.", + "Fae is an impus, a lempus, and a yumpus.", + "Fae is an impus.", + "This contradicts with Fae is not an impus.", + "Fae is not a grimpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Jompuses are tumpuses. Everything that is a yumpus, a grimpus, or a vumpus is an impus. Everything that is a tumpus or a yumpus or a gorpus is a lempus. Everything that is a yumpus or a grimpus or a vumpus is a zumpus and a jompus and a wumpus. Each zumpus is a sterpus. Stella is a dumpus. Stella is a yumpus.", + "query": "Prove: Stella is a wumpus.", + "chain_of_thought": [ + "Stella is a yumpus.", + "Stella is a yumpus or a grimpus or a vumpus.", + "Everything that is a yumpus or a grimpus or a vumpus is a zumpus and a jompus and a wumpus.", + "Stella is a zumpus, a jompus, and a wumpus.", + "Stella is a wumpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a lempus or an impus or a tumpus is a lorpus. Dumpuses are vumpuses, wumpuses, and impuses. Dumpuses are rompuses. Each vumpus is a numpus. Wumpuses are tumpuses. Sally is a yumpus. Sally is a dumpus.", + "query": "Prove: Sally is a shumpus or a zumpus or an impus.", + "chain_of_thought": [ + "Sally is a dumpus.", + "Dumpuses are vumpuses, wumpuses, and impuses.", + "Sally is a vumpus, a wumpus, and an impus.", + "Sally is an impus.", + "Sally is a shumpus or a zumpus or an impus." + ] + }, + "in_context_example7": { + "question": "Jompuses are yumpuses. Sam is a sterpus. Sam is an impus. Everything that is an impus and a grimpus and a zumpus is a shumpus. Sam is a wumpus. Wumpuses are lorpuses. Sam is a rompus. Each yumpus is a lorpus. Everything that is a sterpus and an impus and a rompus is a brimpus. Yumpuses are wumpuses. Jompuses are wumpuses. Everything that is an impus, a grimpus, and a zumpus is not a lorpus. Sam is an impus. Sam is a grimpus. Sam is a wumpus. Sam is a zumpus.", + "query": "Prove: Sam is not a jompus.", + "chain_of_thought": [ + "Sam is a zumpus.", + "Sam is a grimpus.", + "Sam is an impus.", + "Sam is an impus and a grimpus and a zumpus.", + "Everything that is an impus, a grimpus, and a zumpus is not a lorpus.", + "Sam is not a lorpus.\n\n", + "Assume Sam is a jompus.", + "Jompuses are yumpuses.", + "Sam is a yumpus.", + "Each yumpus is a lorpus.", + "Sam is a lorpus.", + "This contradicts with Sam is not a lorpus.", + "Sam is not a jompus.\n\n" + ] + }, + "test_example": { + "question": "Gorpuses are wumpuses. Every grimpus is a wumpus. Shumpuses are dumpuses. Grimpuses are shumpuses and gorpuses and rompuses. Everything that is a rompus, a yumpus, or a tumpus is a sterpus. Alex is a zumpus. Alex is a grimpus.", + "query": "Prove: Alex is a rompus or a lorpus or an impus.", + "chain_of_thought": [ + "Alex is a grimpus.", + "Grimpuses are shumpuses and gorpuses and rompuses.", + "Alex is a shumpus and a gorpus and a rompus.", + "Alex is a rompus.", + "Alex is a rompus, a lorpus, or an impus." + ] + } + }, + "example6": { + "in_context_example0": { + "question": "Every jompus is an impus. Every tumpus is a zumpus and a jompus and a dumpus. Each numpus is a grimpus. Each tumpus is a gorpus. Grimpuses are zumpuses. Dumpuses are lorpuses. Sam is a grimpus. Every shumpus is a rompus. Sam is a vumpus, a brimpus, and an impus. Sam is not a zumpus, Sam is a shumpus, and Sam is a numpus.", + "query": "Prove: Sam is not a tumpus.", + "chain_of_thought": [ + "Sam is not a zumpus and Sam is a shumpus and Sam is a numpus.", + "Sam is not a zumpus.\n\n", + "Assume Sam is a tumpus.", + "Every tumpus is a zumpus and a jompus and a dumpus.", + "Sam is a zumpus and a jompus and a dumpus.", + "Sam is a zumpus.", + "This contradicts with Sam is not a zumpus.", + "Sam is not a tumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Each numpus is a wumpus. Everything that is a sterpus or a yumpus or a lorpus is a zumpus, a numpus, and a rompus. Everything that is a lorpus or an impus or a lempus is a dumpus. Rompuses are gorpuses. Everything that is a sterpus, a yumpus, or a lorpus is an impus. Sam is a lempus. Sam is a lorpus.", + "query": "Prove: Sam is a zumpus.", + "chain_of_thought": [ + "Sam is a lorpus.", + "Sam is a sterpus or a yumpus or a lorpus.", + "Everything that is a sterpus or a yumpus or a lorpus is a zumpus, a numpus, and a rompus.", + "Sam is a zumpus and a numpus and a rompus.", + "Sam is a zumpus." + ] + }, + "in_context_example2": { + "question": "Every tumpus is a rompus. Every shumpus is an impus. Everything that is an impus, a jompus, or a numpus is a grimpus. Tumpuses are jompuses, shumpuses, and yumpuses. Each yumpus is a numpus. Wren is a vumpus. Wren is a tumpus.", + "query": "Prove: Wren is a jompus or a wumpus or a lempus.", + "chain_of_thought": [ + "Wren is a tumpus.", + "Tumpuses are jompuses, shumpuses, and yumpuses.", + "Wren is a jompus, a shumpus, and a yumpus.", + "Wren is a jompus.", + "Wren is a jompus or a wumpus or a lempus." + ] + }, + "in_context_example3": { + "question": "Stella is an impus. Everything that is a yumpus or a lempus or a shumpus is a brimpus. Stella is a grimpus. Every dumpus is a wumpus. Every rompus is a grimpus. Vumpuses are grimpuses. Everything that is a lorpus, an impus, and a grimpus is a sterpus. Every rompus is an impus. Stella is a lorpus. Every tumpus is a vumpus. Stella is a vumpus and a dumpus and a rompus. Stella is a lempus. Stella is a zumpus, a sterpus, and a lorpus. Stella is an impus and a tumpus and a jompus.", + "query": "Prove: Stella is an impus, a brimpus, and a vumpus.", + "chain_of_thought": [ + "Stella is an impus, a tumpus, and a jompus.", + "Stella is a tumpus.", + "Every tumpus is a vumpus.", + "Stella is a vumpus.", + "Stella is a lempus.", + "Stella is a yumpus, a lempus, or a shumpus.", + "Everything that is a yumpus or a lempus or a shumpus is a brimpus.", + "Stella is a brimpus.", + "Stella is a vumpus and a dumpus and a rompus.", + "Stella is a rompus.", + "Every rompus is an impus.", + "Stella is an impus.", + "Stella is an impus and a brimpus and a vumpus." + ] + }, + "in_context_example4": { + "question": "Each shumpus is a rompus. Dumpuses are jompuses. Every vumpus is a wumpus. Dumpuses are lorpuses. Everything that is a lorpus, a zumpus, or a lempus is a grimpus. Rex is a zumpus, a brimpus, and a numpus. Rex is a shumpus, a vumpus, and a dumpus.", + "query": "Prove: Rex is a yumpus, a tumpus, or a lorpus.", + "chain_of_thought": [ + "Rex is a shumpus and a vumpus and a dumpus.", + "Rex is a dumpus.", + "Dumpuses are lorpuses.", + "Rex is a lorpus.", + "Rex is a yumpus, a tumpus, or a lorpus." + ] + }, + "in_context_example5": { + "question": "Each brimpus is a shumpus. Every rompus is not a gorpus. Everything that is a zumpus or a sterpus or an impus is a wumpus. Everything that is an impus or a yumpus or a tumpus is a lempus. Every lempus is a gorpus. Polly is a lempus. Each jompus is a grimpus. Everything that is a zumpus, a sterpus, or an impus is a gorpus. Every rompus is a shumpus. Polly is a tumpus and a wumpus and a dumpus. Polly is a jompus and a brimpus and a rompus.", + "query": "Prove: Polly is not an impus.", + "chain_of_thought": [ + "Polly is a jompus, a brimpus, and a rompus.", + "Polly is a rompus.", + "Every rompus is not a gorpus.", + "Polly is not a gorpus.\n\n", + "Assume Polly is an impus.", + "Polly is a zumpus, a sterpus, or an impus.", + "Everything that is a zumpus, a sterpus, or an impus is a gorpus.", + "Polly is a gorpus.", + "This contradicts with Polly is not a gorpus.", + "Polly is not an impus.\n\n" + ] + }, + "in_context_example6": { + "question": "Dumpuses are shumpuses. Lempuses are zumpuses. Everything that is a zumpus or a tumpus or a vumpus is a jompus. Numpuses are tumpuses. Each lempus is a sterpus. Sam is a jompus, a yumpus, and a vumpus. Sam is a dumpus and a numpus and a lempus.", + "query": "Prove: Sam is a brimpus or an impus or a zumpus.", + "chain_of_thought": [ + "Sam is a dumpus, a numpus, and a lempus.", + "Sam is a lempus.", + "Lempuses are zumpuses.", + "Sam is a zumpus.", + "Sam is a brimpus, an impus, or a zumpus." + ] + }, + "in_context_example7": { + "question": "Sterpuses are lempuses. Stella is a rompus. Everything that is a rompus, a lorpus, and a numpus is a yumpus. Stella is a lorpus. Everything that is a lorpus and a shumpus and a gorpus is a wumpus and a tumpus and a sterpus. Everything that is a lorpus, a shumpus, and a gorpus is a numpus. Wumpuses are jompuses. Stella is a numpus. Stella is a lorpus. Stella is a grimpus. Stella is a shumpus. Stella is a gorpus.", + "query": "Prove: Stella is a tumpus.", + "chain_of_thought": [ + "Stella is a gorpus.", + "Stella is a shumpus.", + "Stella is a lorpus.", + "Stella is a lorpus and a shumpus and a gorpus.", + "Everything that is a lorpus and a shumpus and a gorpus is a wumpus and a tumpus and a sterpus.", + "Stella is a wumpus, a tumpus, and a sterpus.", + "Stella is a tumpus." + ] + }, + "test_example": { + "question": "Zumpuses are lempuses. Everything that is a numpus or a yumpus or a gorpus is a rompus. Dumpuses are gorpuses. Each zumpus is a numpus. Every shumpus is a yumpus. Polly is a rompus, a vumpus, and a sterpus. Polly is a dumpus and a zumpus and a shumpus.", + "query": "Prove: Polly is a numpus or a brimpus or an impus.", + "chain_of_thought": [ + "Polly is a dumpus, a zumpus, and a shumpus.", + "Polly is a zumpus.", + "Each zumpus is a numpus.", + "Polly is a numpus.", + "Polly is a numpus or a brimpus or an impus." + ] + } + }, + "example7": { + "in_context_example0": { + "question": "Everything that is a rompus and a grimpus and a lorpus is an impus, a sterpus, and a dumpus. Fae is a rompus. Every impus is a brimpus. Everything that is a rompus, a tumpus, and a wumpus is a yumpus. Everything that is a rompus, a grimpus, and a lorpus is a zumpus. Fae is a tumpus. Each dumpus is a tumpus. Fae is a wumpus. Fae is a rompus. Fae is a gorpus. Fae is a grimpus. Fae is a lorpus.", + "query": "Prove: Fae is a sterpus.", + "chain_of_thought": [ + "Fae is a lorpus.", + "Fae is a grimpus.", + "Fae is a rompus.", + "Fae is a rompus, a grimpus, and a lorpus.", + "Everything that is a rompus and a grimpus and a lorpus is an impus, a sterpus, and a dumpus.", + "Fae is an impus, a sterpus, and a dumpus.", + "Fae is a sterpus." + ] + }, + "in_context_example1": { + "question": "Every tumpus is a lempus. Wren is a yumpus. Jompuses are yumpuses. Yumpuses are brimpuses. Impuses are shumpuses. Every wumpus is a tumpus and a brimpus and a sterpus. Wumpuses are shumpuses. Sterpuses are numpuses. Wren is a numpus, a rompus, and a lempus. Wren is an impus, Wren is a jompus, and Wren is not a brimpus.", + "query": "Prove: Wren is not a wumpus.", + "chain_of_thought": [ + "Wren is an impus and Wren is a jompus and Wren is not a brimpus.", + "Wren is not a brimpus.\n\n", + "Assume Wren is a wumpus.", + "Every wumpus is a tumpus and a brimpus and a sterpus.", + "Wren is a tumpus, a brimpus, and a sterpus.", + "Wren is a brimpus.", + "This contradicts with Wren is not a brimpus.", + "Wren is not a wumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Each wumpus is a tumpus. Everything that is a dumpus or a lempus or a brimpus is a shumpus. Everything that is a dumpus, a lempus, or a brimpus is a grimpus. Shumpuses are grimpuses. Everything that is a brimpus, a zumpus, or a gorpus is a yumpus. Alex is a gorpus and a rompus and a grimpus. Alex is a shumpus, a wumpus, and a brimpus.", + "query": "Prove: Alex is a shumpus.", + "chain_of_thought": [ + "Alex is a shumpus, a wumpus, and a brimpus.", + "Alex is a brimpus.", + "Alex is a dumpus, a lempus, or a brimpus.", + "Everything that is a dumpus or a lempus or a brimpus is a shumpus.", + "Alex is a shumpus." + ] + }, + "in_context_example3": { + "question": "Shumpuses are sterpuses. Zumpuses are sterpuses. Each zumpus is a numpus and a brimpus and a shumpus. Brimpuses are yumpuses. Everything that is a dumpus, a numpus, or a lempus is a sterpus. Sam is an impus. Sam is a zumpus.", + "query": "Prove: Sam is a jompus or a grimpus or a numpus.", + "chain_of_thought": [ + "Sam is a zumpus.", + "Each zumpus is a numpus and a brimpus and a shumpus.", + "Sam is a numpus and a brimpus and a shumpus.", + "Sam is a numpus.", + "Sam is a jompus or a grimpus or a numpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a yumpus, a sterpus, and a lorpus is a dumpus. Everything that is a dumpus, a yumpus, and a lempus is a brimpus. Max is a lempus. Each impus is a rompus. Everything that is a yumpus and a sterpus and a lorpus is a tumpus and a jompus and an impus. Max is a dumpus. Each jompus is a vumpus. Max is a yumpus. Max is a yumpus. Max is a sterpus. Max is a brimpus. Max is a lorpus.", + "query": "Prove: Max is a tumpus.", + "chain_of_thought": [ + "Max is a lorpus.", + "Max is a sterpus.", + "Max is a yumpus.", + "Max is a yumpus, a sterpus, and a lorpus.", + "Everything that is a yumpus and a sterpus and a lorpus is a tumpus and a jompus and an impus.", + "Max is a tumpus, a jompus, and an impus.", + "Max is a tumpus." + ] + }, + "in_context_example5": { + "question": "Numpuses are impuses. Every yumpus is a tumpus. Each lorpus is a tumpus. Rompuses are zumpuses. Lempuses are shumpuses. Numpuses are rompuses and shumpuses and lorpuses. Each grimpus is a tumpus. Each grimpus is not a shumpus. Yumpuses are grimpuses. Sally is a lempus. Sally is a gorpus. Sally is a yumpus.", + "query": "Prove: Sally is not a numpus.", + "chain_of_thought": [ + "Sally is a yumpus.", + "Yumpuses are grimpuses.", + "Sally is a grimpus.", + "Each grimpus is not a shumpus.", + "Sally is not a shumpus.\n\n", + "Assume Sally is a numpus.", + "Numpuses are rompuses and shumpuses and lorpuses.", + "Sally is a rompus and a shumpus and a lorpus.", + "Sally is a shumpus.", + "This contradicts with Sally is not a shumpus.", + "Sally is not a numpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Brimpuses are rompuses. Each tumpus is a dumpus. Everything that is an impus, a vumpus, or a shumpus is a sterpus. Each gorpus is a zumpus. Brimpuses are tumpuses, impuses, and gorpuses. Polly is a dumpus. Polly is a brimpus.", + "query": "Prove: Polly is a grimpus or an impus or a yumpus.", + "chain_of_thought": [ + "Polly is a brimpus.", + "Brimpuses are tumpuses, impuses, and gorpuses.", + "Polly is a tumpus, an impus, and a gorpus.", + "Polly is an impus.", + "Polly is a grimpus or an impus or a yumpus." + ] + }, + "in_context_example7": { + "question": "Every wumpus is a yumpus. Every dumpus is a tumpus. Max is a dumpus. Everything that is a shumpus or a sterpus or a lorpus is a jompus. Everything that is a lempus or a shumpus or a zumpus is a brimpus. Each rompus is a sterpus. Everything that is a lempus, a shumpus, or a zumpus is a tumpus. Max is a yumpus and a brimpus and a gorpus. Max is not a tumpus, Max is a rompus, and Max is a wumpus.", + "query": "Prove: Max is not a shumpus.", + "chain_of_thought": [ + "Max is not a tumpus and Max is a rompus and Max is a wumpus.", + "Max is not a tumpus.\n\n", + "Assume Max is a shumpus.", + "Max is a lempus, a shumpus, or a zumpus.", + "Everything that is a lempus, a shumpus, or a zumpus is a tumpus.", + "Max is a tumpus.", + "This contradicts with Max is not a tumpus.", + "Max is not a shumpus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a rompus, a brimpus, or a numpus is a dumpus. Wumpuses are sterpuses. Everything that is an impus or a brimpus or a lorpus is a tumpus. Everything that is an impus, a brimpus, or a lorpus is a wumpus. Every lempus is a jompus. Sam is a yumpus and a gorpus and a dumpus. Sam is a lempus and a wumpus and a brimpus.", + "query": "Prove: Sam is a wumpus.", + "chain_of_thought": [ + "Sam is a lempus, a wumpus, and a brimpus.", + "Sam is a brimpus.", + "Sam is an impus or a brimpus or a lorpus.", + "Everything that is an impus, a brimpus, or a lorpus is a wumpus.", + "Sam is a wumpus." + ] + } + }, + "example8": { + "in_context_example0": { + "question": "Everything that is a rompus, a gorpus, and a tumpus is a numpus. Everything that is a rompus, a gorpus, and a tumpus is a wumpus and a shumpus and a dumpus. Everything that is a rompus, a sterpus, and a lempus is an impus. Dumpuses are lempuses. Sam is a sterpus. Sam is a lempus. Shumpuses are impuses. Sam is a rompus. Sam is a rompus. Sam is a sterpus. Sam is a gorpus. Sam is a tumpus.", + "query": "Prove: Sam is a wumpus.", + "chain_of_thought": [ + "Sam is a tumpus.", + "Sam is a gorpus.", + "Sam is a rompus.", + "Sam is a rompus, a gorpus, and a tumpus.", + "Everything that is a rompus, a gorpus, and a tumpus is a wumpus and a shumpus and a dumpus.", + "Sam is a wumpus and a shumpus and a dumpus.", + "Sam is a wumpus." + ] + }, + "in_context_example1": { + "question": "Fae is a brimpus. Everything that is a lempus and a grimpus and a rompus is a zumpus. Fae is a jompus. Fae is a tumpus. Everything that is a lempus, a tumpus, and a jompus is a yumpus. Everything that is an impus and a brimpus and a numpus is a gorpus. Each numpus is a zumpus. Everything that is a brimpus, a shumpus, and a wumpus is a lorpus. Fae is a numpus. Fae is a lempus. Fae is an impus. Everything that is a brimpus and a shumpus and a wumpus is not a zumpus. Everything that is a lempus and a grimpus and a rompus is a numpus. Fae is a dumpus. Fae is a brimpus. Fae is a shumpus. Fae is a wumpus. Fae is a lempus. Fae is a grimpus.", + "query": "Prove: Fae is not a rompus.", + "chain_of_thought": [ + "Fae is a wumpus.", + "Fae is a shumpus.", + "Fae is a brimpus.", + "Fae is a brimpus and a shumpus and a wumpus.", + "Everything that is a brimpus and a shumpus and a wumpus is not a zumpus.", + "Fae is not a zumpus.\n\n", + "Assume Fae is a rompus.", + "Fae is a grimpus.", + "Fae is a lempus.", + "Fae is a lempus, a grimpus, and a rompus.", + "Everything that is a lempus and a grimpus and a rompus is a zumpus.", + "Fae is a zumpus.", + "This contradicts with Fae is not a zumpus.", + "Fae is not a rompus.\n\n" + ] + }, + "in_context_example2": { + "question": "Rompuses are wumpuses. Gorpuses are lempuses. Gorpuses are tumpuses, shumpuses, and rompuses. Everything that is a zumpus or a tumpus or a lempus is a grimpus. Every shumpus is a jompus. Sally is a vumpus. Sally is a gorpus.", + "query": "Prove: Sally is a tumpus or a yumpus or an impus.", + "chain_of_thought": [ + "Sally is a gorpus.", + "Gorpuses are tumpuses, shumpuses, and rompuses.", + "Sally is a tumpus and a shumpus and a rompus.", + "Sally is a tumpus.", + "Sally is a tumpus, a yumpus, or an impus." + ] + }, + "in_context_example3": { + "question": "Tumpuses are gorpuses. Wumpuses are vumpuses. Everything that is a lempus, a jompus, or a vumpus is a gorpus. Each lorpus is a jompus. Every lorpus is a tumpus, a lempus, and a wumpus. Sally is a sterpus. Sally is a lorpus.", + "query": "Prove: Sally is a lempus, a zumpus, or an impus.", + "chain_of_thought": [ + "Sally is a lorpus.", + "Every lorpus is a tumpus, a lempus, and a wumpus.", + "Sally is a tumpus and a lempus and a wumpus.", + "Sally is a lempus.", + "Sally is a lempus, a zumpus, or an impus." + ] + }, + "in_context_example4": { + "question": "Everything that is a rompus, a dumpus, or a vumpus is a numpus. Each lorpus is a shumpus. Zumpuses are dumpuses. Every gorpus is a zumpus and a rompus and a lorpus. Every gorpus is a sterpus. Polly is a sterpus. Polly is a gorpus.", + "query": "Prove: Polly is a yumpus, a grimpus, or a rompus.", + "chain_of_thought": [ + "Polly is a gorpus.", + "Every gorpus is a zumpus and a rompus and a lorpus.", + "Polly is a zumpus and a rompus and a lorpus.", + "Polly is a rompus.", + "Polly is a yumpus or a grimpus or a rompus." + ] + }, + "in_context_example5": { + "question": "Sterpuses are shumpuses, yumpuses, and numpuses. Wren is a vumpus. Wren is a gorpus. Every lempus is a yumpus. Every numpus is a lempus. Wren is a lorpus. Everything that is a gorpus, a vumpus, and a lorpus is an impus. Each shumpus is a tumpus. Everything that is a gorpus, a dumpus, and a rompus is not a yumpus. Wren is a lempus. Each sterpus is a zumpus. Everything that is a gorpus and a dumpus and a rompus is a vumpus. Wren is a gorpus. Wren is a jompus. Wren is a dumpus. Wren is a rompus.", + "query": "Prove: Wren is not a sterpus.", + "chain_of_thought": [ + "Wren is a rompus.", + "Wren is a dumpus.", + "Wren is a gorpus.", + "Wren is a gorpus, a dumpus, and a rompus.", + "Everything that is a gorpus, a dumpus, and a rompus is not a yumpus.", + "Wren is not a yumpus.\n\n", + "Assume Wren is a sterpus.", + "Sterpuses are shumpuses, yumpuses, and numpuses.", + "Wren is a shumpus and a yumpus and a numpus.", + "Wren is a yumpus.", + "This contradicts with Wren is not a yumpus.", + "Wren is not a sterpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Everything that is a jompus, a tumpus, and a grimpus is a numpus. Max is a tumpus. Everything that is a zumpus or a lorpus or a sterpus is a grimpus. Max is a jompus. Everything that is a jompus and a shumpus and a gorpus is a sterpus. Everything that is a jompus and a shumpus and a gorpus is a zumpus. Max is a grimpus. Max is a tumpus. Max is a jompus. Max is a shumpus. Max is a gorpus.", + "query": "Prove: Max is a wumpus or a yumpus or a zumpus.", + "chain_of_thought": [ + "Max is a gorpus.", + "Max is a shumpus.", + "Max is a jompus.", + "Max is a jompus and a shumpus and a gorpus.", + "Everything that is a jompus and a shumpus and a gorpus is a zumpus.", + "Max is a zumpus.", + "Max is a wumpus or a yumpus or a zumpus." + ] + }, + "in_context_example7": { + "question": "Sally is a sterpus. Everything that is a shumpus, a sterpus, and a tumpus is a brimpus. Everything that is a shumpus, a yumpus, and a rompus is a zumpus. Sally is a tumpus. Everything that is a shumpus and a yumpus and a rompus is a vumpus. Everything that is an impus or a zumpus or a sterpus is a lempus. Sally is a shumpus. Sally is a brimpus. Sally is a shumpus. Sally is a yumpus. Sally is a rompus.", + "query": "Prove: Sally is a grimpus or a zumpus or a jompus.", + "chain_of_thought": [ + "Sally is a rompus.", + "Sally is a yumpus.", + "Sally is a shumpus.", + "Sally is a shumpus, a yumpus, and a rompus.", + "Everything that is a shumpus, a yumpus, and a rompus is a zumpus.", + "Sally is a zumpus.", + "Sally is a grimpus, a zumpus, or a jompus." + ] + }, + "test_example": { + "question": "Polly is a wumpus. Every tumpus is a vumpus. Everything that is a wumpus, a dumpus, and a lorpus is not a vumpus. Brimpuses are gorpuses. Every dumpus is a lempus. Polly is a jompus. Lorpuses are jompuses. Brimpuses are dumpuses, lorpuses, and vumpuses. Polly is a tumpus. Everything that is a jompus and a wumpus and a sterpus is a shumpus. Everything that is a wumpus and a dumpus and a lorpus is a grimpus. Polly is a sterpus. Polly is a sterpus. Polly is a wumpus. Polly is a dumpus. Polly is a lorpus.", + "query": "Prove: Polly is not a brimpus.", + "chain_of_thought": [ + "Polly is a lorpus.", + "Polly is a dumpus.", + "Polly is a wumpus.", + "Polly is a wumpus and a dumpus and a lorpus.", + "Everything that is a wumpus, a dumpus, and a lorpus is not a vumpus.", + "Polly is not a vumpus.\n\n", + "Assume Polly is a brimpus.", + "Brimpuses are dumpuses, lorpuses, and vumpuses.", + "Polly is a dumpus, a lorpus, and a vumpus.", + "Polly is a vumpus.", + "This contradicts with Polly is not a vumpus.", + "Polly is not a brimpus.\n\n" + ] + } + }, + "example9": { + "in_context_example0": { + "question": "Every rompus is a grimpus. Everything that is a numpus or a brimpus or a zumpus is a wumpus. Impuses are rompuses, yumpuses, and numpuses. Every yumpus is a wumpus. Each impus is a lempus. Fae is a brimpus. Fae is an impus.", + "query": "Prove: Fae is a shumpus or a dumpus or a numpus.", + "chain_of_thought": [ + "Fae is an impus.", + "Impuses are rompuses, yumpuses, and numpuses.", + "Fae is a rompus, a yumpus, and a numpus.", + "Fae is a numpus.", + "Fae is a shumpus or a dumpus or a numpus." + ] + }, + "in_context_example1": { + "question": "Each rompus is a wumpus. Wren is a gorpus. Dumpuses are lempuses and sterpuses and impuses. Dumpuses are tumpuses. Each brimpus is a numpus. Each lempus is a wumpus. Every gorpus is an impus. Sterpuses are numpuses. Wren is a tumpus and a numpus and a gorpus. Wren is a rompus and Wren is a brimpus and Wren is not an impus.", + "query": "Prove: Wren is not a dumpus.", + "chain_of_thought": [ + "Wren is a rompus, Wren is a brimpus, and Wren is not an impus.", + "Wren is not an impus.\n\n", + "Assume Wren is a dumpus.", + "Dumpuses are lempuses and sterpuses and impuses.", + "Wren is a lempus and a sterpus and an impus.", + "Wren is an impus.", + "This contradicts with Wren is not an impus.", + "Wren is not a dumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a numpus, a rompus, or a lempus is an impus. Every dumpus is a vumpus. Brimpuses are wumpuses. Everything that is a numpus, a rompus, or a lempus is a yumpus. Everything that is a rompus, a shumpus, or an impus is a zumpus. Stella is a sterpus and a gorpus and a vumpus. Stella is a brimpus and a dumpus and a rompus.", + "query": "Prove: Stella is a yumpus.", + "chain_of_thought": [ + "Stella is a brimpus, a dumpus, and a rompus.", + "Stella is a rompus.", + "Stella is a numpus or a rompus or a lempus.", + "Everything that is a numpus, a rompus, or a lempus is a yumpus.", + "Stella is a yumpus." + ] + }, + "in_context_example3": { + "question": "Jompuses are wumpuses. Lempuses are brimpuses. Vumpuses are zumpuses. Every jompus is a vumpus, a lempus, and a numpus. Everything that is a numpus, an impus, or a lorpus is a grimpus. Fae is a grimpus. Fae is a jompus.", + "query": "Prove: Fae is a numpus, a lempus, or a dumpus.", + "chain_of_thought": [ + "Fae is a jompus.", + "Every jompus is a vumpus, a lempus, and a numpus.", + "Fae is a vumpus and a lempus and a numpus.", + "Fae is a numpus.", + "Fae is a numpus, a lempus, or a dumpus." + ] + }, + "in_context_example4": { + "question": "Brimpuses are impuses. Each gorpus is a brimpus, a sterpus, and a yumpus. Everything that is a tumpus, a sterpus, or a shumpus is a zumpus. Every gorpus is a dumpus. Every yumpus is a numpus. Sally is a zumpus. Sally is a gorpus.", + "query": "Prove: Sally is a grimpus or a sterpus or a brimpus.", + "chain_of_thought": [ + "Sally is a gorpus.", + "Each gorpus is a brimpus, a sterpus, and a yumpus.", + "Sally is a brimpus and a sterpus and a yumpus.", + "Sally is a sterpus.", + "Sally is a grimpus, a sterpus, or a brimpus." + ] + }, + "in_context_example5": { + "question": "Numpuses are shumpuses. Every zumpus is a vumpus. Zumpuses are not gorpuses. Rompuses are lorpuses. Every lempus is a numpus. Each wumpus is a gorpus. Every tumpus is a shumpus. Fae is a wumpus. Every lempus is a grimpus. Numpuses are gorpuses. Fae is a grimpus and an impus and a lorpus. Fae is a tumpus and a rompus and a zumpus.", + "query": "Prove: Fae is not a lempus.", + "chain_of_thought": [ + "Fae is a tumpus and a rompus and a zumpus.", + "Fae is a zumpus.", + "Zumpuses are not gorpuses.", + "Fae is not a gorpus.\n\n", + "Assume Fae is a lempus.", + "Every lempus is a numpus.", + "Fae is a numpus.", + "Numpuses are gorpuses.", + "Fae is a gorpus.", + "This contradicts with Fae is not a gorpus.", + "Fae is not a lempus.\n\n" + ] + }, + "in_context_example6": { + "question": "Shumpuses are rompuses. Shumpuses are zumpuses, numpuses, and yumpuses. Everything that is an impus, a yumpus, or a vumpus is a tumpus. Every zumpus is a grimpus. Numpuses are jompuses. Sally is a gorpus. Sally is a shumpus.", + "query": "Prove: Sally is a lorpus, a yumpus, or a brimpus.", + "chain_of_thought": [ + "Sally is a shumpus.", + "Shumpuses are zumpuses, numpuses, and yumpuses.", + "Sally is a zumpus and a numpus and a yumpus.", + "Sally is a yumpus.", + "Sally is a lorpus or a yumpus or a brimpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a vumpus, a lempus, or a dumpus is a brimpus. Impuses are tumpuses. Every gorpus is a shumpus. Everything that is a vumpus, a lempus, or a dumpus is a wumpus and a gorpus and an impus. Everything that is a rompus or a lempus or a tumpus is a numpus. Fae is a rompus. Fae is a lempus.", + "query": "Prove: Fae is a wumpus.", + "chain_of_thought": [ + "Fae is a lempus.", + "Fae is a vumpus, a lempus, or a dumpus.", + "Everything that is a vumpus, a lempus, or a dumpus is a wumpus and a gorpus and an impus.", + "Fae is a wumpus, a gorpus, and an impus.", + "Fae is a wumpus." + ] + }, + "test_example": { + "question": "Dumpuses are yumpuses. Everything that is a brimpus or a gorpus or a shumpus is a wumpus, a sterpus, and a dumpus. Everything that is a lempus or a gorpus or a lorpus is a yumpus. Sterpuses are zumpuses. Everything that is a brimpus, a gorpus, or a shumpus is a lorpus. Wren is a lorpus. Wren is a gorpus.", + "query": "Prove: Wren is a wumpus.", + "chain_of_thought": [ + "Wren is a gorpus.", + "Wren is a brimpus or a gorpus or a shumpus.", + "Everything that is a brimpus or a gorpus or a shumpus is a wumpus, a sterpus, and a dumpus.", + "Wren is a wumpus and a sterpus and a dumpus.", + "Wren is a wumpus." + ] + } + }, + "example10": { + "in_context_example0": { + "question": "Each dumpus is a lempus. Yumpuses are zumpuses. Wren is a yumpus. Each tumpus is a brimpus. Wumpuses are lorpuses. Shumpuses are sterpuses. Each grimpus is a gorpus. Wumpuses are tumpuses and zumpuses and dumpuses. Wren is a brimpus and a rompus and a jompus. Wren is not a zumpus and Wren is a grimpus and Wren is a shumpus.", + "query": "Prove: Wren is not a wumpus.", + "chain_of_thought": [ + "Wren is not a zumpus and Wren is a grimpus and Wren is a shumpus.", + "Wren is not a zumpus.\n\n", + "Assume Wren is a wumpus.", + "Wumpuses are tumpuses and zumpuses and dumpuses.", + "Wren is a tumpus, a zumpus, and a dumpus.", + "Wren is a zumpus.", + "This contradicts with Wren is not a zumpus.", + "Wren is not a wumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Sterpuses are grimpuses. Everything that is an impus and a tumpus and a jompus is a shumpus. Everything that is an impus, a yumpus, and a brimpus is a zumpus. Alex is a jompus. Lempuses are rompuses. Alex is an impus. Everything that is an impus, a yumpus, and a brimpus is a sterpus and a lempus and a wumpus. Alex is a tumpus. Alex is an impus. Alex is a yumpus. Alex is a rompus. Alex is a brimpus.", + "query": "Prove: Alex is a wumpus.", + "chain_of_thought": [ + "Alex is a brimpus.", + "Alex is a yumpus.", + "Alex is an impus.", + "Alex is an impus, a yumpus, and a brimpus.", + "Everything that is an impus, a yumpus, and a brimpus is a sterpus and a lempus and a wumpus.", + "Alex is a sterpus and a lempus and a wumpus.", + "Alex is a wumpus." + ] + }, + "in_context_example2": { + "question": "Each dumpus is a gorpus and an impus and a numpus. Gorpuses are lempuses. Every dumpus is a vumpus. Everything that is a tumpus or an impus or a wumpus is a rompus. Every numpus is a grimpus. Fae is a vumpus. Fae is a dumpus.", + "query": "Prove: Fae is a lorpus or a sterpus or an impus.", + "chain_of_thought": [ + "Fae is a dumpus.", + "Each dumpus is a gorpus and an impus and a numpus.", + "Fae is a gorpus, an impus, and a numpus.", + "Fae is an impus.", + "Fae is a lorpus or a sterpus or an impus." + ] + }, + "in_context_example3": { + "question": "Everything that is a zumpus or a shumpus or an impus is a grimpus. Every yumpus is an impus. Every lorpus is an impus. Each lorpus is a yumpus, a tumpus, and a zumpus. Tumpuses are jompuses. Max is a gorpus. Max is a lorpus.", + "query": "Prove: Max is a wumpus, a zumpus, or a numpus.", + "chain_of_thought": [ + "Max is a lorpus.", + "Each lorpus is a yumpus, a tumpus, and a zumpus.", + "Max is a yumpus and a tumpus and a zumpus.", + "Max is a zumpus.", + "Max is a wumpus, a zumpus, or a numpus." + ] + }, + "in_context_example4": { + "question": "Alex is a gorpus. Everything that is a zumpus or a tumpus or a wumpus is a rompus. Dumpuses are impuses. Gorpuses are rompuses. Everything that is a wumpus or a lorpus or a vumpus is a yumpus. Everything that is a zumpus or a tumpus or a wumpus is a gorpus. Lempuses are sterpuses. Alex is a brimpus and a vumpus and a gorpus. Alex is a lempus, Alex is not a rompus, and Alex is a dumpus.", + "query": "Prove: Alex is not a wumpus.", + "chain_of_thought": [ + "Alex is a lempus, Alex is not a rompus, and Alex is a dumpus.", + "Alex is not a rompus.\n\n", + "Assume Alex is a wumpus.", + "Alex is a zumpus, a tumpus, or a wumpus.", + "Everything that is a zumpus or a tumpus or a wumpus is a rompus.", + "Alex is a rompus.", + "This contradicts with Alex is not a rompus.", + "Alex is not a wumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Everything that is a shumpus, a lorpus, or a wumpus is a zumpus. Gorpuses are impuses. Alex is a lorpus. Lempuses are rompuses. Everything that is a sterpus, a vumpus, and a lorpus is a wumpus. Alex is a sterpus. Alex is a vumpus. Everything that is a shumpus or a yumpus or a jompus is a vumpus. Everything that is a shumpus, a yumpus, or a jompus is a wumpus. Alex is a shumpus. Alex is not an impus, Alex is a dumpus, and Alex is a lempus. Alex is a tumpus. Alex is not a rompus, Alex is a brimpus, and Alex is a shumpus.", + "query": "Prove: Alex is a vumpus and Alex is not a gorpus and Alex is not a lempus.", + "chain_of_thought": [ + "Alex is not a rompus and Alex is a brimpus and Alex is a shumpus.", + "Alex is not a rompus.\n\n", + "Assume Alex is a lempus.", + "Lempuses are rompuses.", + "Alex is a rompus.", + "This contradicts with Alex is not a rompus.", + "Alex is not a lempus.\n\n", + "Alex is not an impus, Alex is a dumpus, and Alex is a lempus.", + "Alex is not an impus.\n\n", + "Assume Alex is a gorpus.", + "Gorpuses are impuses.", + "Alex is an impus.", + "This contradicts with Alex is not an impus.", + "Alex is not a gorpus.\n\n", + "Alex is a shumpus.", + "Alex is a shumpus or a yumpus or a jompus.", + "Everything that is a shumpus or a yumpus or a jompus is a vumpus.", + "Alex is a vumpus.", + "Alex is a vumpus and Alex is not a gorpus and Alex is not a lempus." + ] + }, + "in_context_example6": { + "question": "Each sterpus is a wumpus. Impuses are rompuses. Dumpuses are wumpuses. Every gorpus is a shumpus. Every jompus is a grimpus. Every brimpus is a tumpus. Gorpuses are tumpuses and sterpuses and impuses. Sally is a brimpus. Sally is a wumpus and a lempus and a rompus. Sally is a jompus, Sally is a dumpus, and Sally is not a tumpus.", + "query": "Prove: Sally is not a gorpus.", + "chain_of_thought": [ + "Sally is a jompus and Sally is a dumpus and Sally is not a tumpus.", + "Sally is not a tumpus.\n\n", + "Assume Sally is a gorpus.", + "Gorpuses are tumpuses and sterpuses and impuses.", + "Sally is a tumpus and a sterpus and an impus.", + "Sally is a tumpus.", + "This contradicts with Sally is not a tumpus.", + "Sally is not a gorpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Wumpuses are dumpuses. Fae is a lempus. Every lempus is a zumpus. Lorpuses are lempuses. Lorpuses are grimpuses and sterpuses and zumpuses. Grimpuses are shumpuses. Every sterpus is a tumpus. Each impus is a yumpus. Fae is a yumpus and a lempus and a gorpus. Fae is not a zumpus, Fae is a wumpus, and Fae is an impus.", + "query": "Prove: Fae is not a lorpus.", + "chain_of_thought": [ + "Fae is not a zumpus, Fae is a wumpus, and Fae is an impus.", + "Fae is not a zumpus.\n\n", + "Assume Fae is a lorpus.", + "Lorpuses are grimpuses and sterpuses and zumpuses.", + "Fae is a grimpus and a sterpus and a zumpus.", + "Fae is a zumpus.", + "This contradicts with Fae is not a zumpus.", + "Fae is not a lorpus.\n\n" + ] + }, + "test_example": { + "question": "Wren is a wumpus. Everything that is an impus or a tumpus or a brimpus is a vumpus. Wren is a jompus. Wren is a lempus. Everything that is a shumpus, a yumpus, or an impus is a grimpus. Each brimpus is a grimpus. Everything that is a lempus and a gorpus and a sterpus is a lorpus. Wren is a brimpus. Everything that is a lempus, a gorpus, and a sterpus is not a grimpus. Everything that is a shumpus or a yumpus or an impus is a numpus. Everything that is a lempus, a jompus, and a wumpus is a numpus. Wren is a zumpus. Wren is a lempus. Wren is a gorpus. Wren is a sterpus.", + "query": "Prove: Wren is not an impus.", + "chain_of_thought": [ + "Wren is a sterpus.", + "Wren is a gorpus.", + "Wren is a lempus.", + "Wren is a lempus and a gorpus and a sterpus.", + "Everything that is a lempus, a gorpus, and a sterpus is not a grimpus.", + "Wren is not a grimpus.\n\n", + "Assume Wren is an impus.", + "Wren is a shumpus or a yumpus or an impus.", + "Everything that is a shumpus, a yumpus, or an impus is a grimpus.", + "Wren is a grimpus.", + "This contradicts with Wren is not a grimpus.", + "Wren is not an impus.\n\n" + ] + } + }, + "example11": { + "in_context_example0": { + "question": "Gorpuses are yumpuses. Gorpuses are grimpuses. Every lorpus is a vumpus. Every dumpus is a gorpus. Fae is an impus. Tumpuses are wumpuses. Each dumpus is a lempus. Each impus is a grimpus. Fae is a lempus, a vumpus, and a zumpus. Fae is a lorpus and Fae is a tumpus and Fae is not a grimpus.", + "query": "Prove: Fae is not a dumpus.", + "chain_of_thought": [ + "Fae is a lorpus, Fae is a tumpus, and Fae is not a grimpus.", + "Fae is not a grimpus.\n\n", + "Assume Fae is a dumpus.", + "Every dumpus is a gorpus.", + "Fae is a gorpus.", + "Gorpuses are grimpuses.", + "Fae is a grimpus.", + "This contradicts with Fae is not a grimpus.", + "Fae is not a dumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Everything that is a zumpus or a shumpus or a lorpus is a dumpus. Everything that is a numpus, a yumpus, or a zumpus is a rompus, a lempus, and a wumpus. Everything that is a numpus or a yumpus or a zumpus is a tumpus. Each rompus is a tumpus. Lempuses are sterpuses. Max is a grimpus. Max is a zumpus.", + "query": "Prove: Max is a wumpus.", + "chain_of_thought": [ + "Max is a zumpus.", + "Max is a numpus, a yumpus, or a zumpus.", + "Everything that is a numpus, a yumpus, or a zumpus is a rompus, a lempus, and a wumpus.", + "Max is a rompus and a lempus and a wumpus.", + "Max is a wumpus." + ] + }, + "in_context_example2": { + "question": "Every dumpus is a lempus. Rompuses are dumpuses. Each brimpus is a gorpus. Dumpuses are vumpuses. Sam is a grimpus. Grimpuses are lempuses. Rompuses are wumpuses. Impuses are jompuses. Sam is a wumpus and a zumpus and a vumpus. Sam is a brimpus, Sam is not a lempus, and Sam is an impus.", + "query": "Prove: Sam is not a rompus.", + "chain_of_thought": [ + "Sam is a brimpus and Sam is not a lempus and Sam is an impus.", + "Sam is not a lempus.\n\n", + "Assume Sam is a rompus.", + "Rompuses are dumpuses.", + "Sam is a dumpus.", + "Every dumpus is a lempus.", + "Sam is a lempus.", + "This contradicts with Sam is not a lempus.", + "Sam is not a rompus.\n\n" + ] + }, + "in_context_example3": { + "question": "Everything that is a wumpus or a yumpus or a zumpus is an impus. Every grimpus is a yumpus. Every grimpus is a lempus and a vumpus and a wumpus. Every vumpus is a tumpus. Lempuses are jompuses. Sam is an impus. Sam is a grimpus.", + "query": "Prove: Sam is a brimpus, a wumpus, or a numpus.", + "chain_of_thought": [ + "Sam is a grimpus.", + "Every grimpus is a lempus and a vumpus and a wumpus.", + "Sam is a lempus and a vumpus and a wumpus.", + "Sam is a wumpus.", + "Sam is a brimpus, a wumpus, or a numpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a wumpus or a vumpus or an impus is a yumpus. Everything that is a rompus, a shumpus, or a wumpus is a brimpus. Each tumpus is a lorpus. Everything that is a rompus, a shumpus, or a wumpus is a lempus and a tumpus and a jompus. Lempuses are dumpuses. Fae is a brimpus. Fae is a wumpus.", + "query": "Prove: Fae is a jompus.", + "chain_of_thought": [ + "Fae is a wumpus.", + "Fae is a rompus or a shumpus or a wumpus.", + "Everything that is a rompus, a shumpus, or a wumpus is a lempus and a tumpus and a jompus.", + "Fae is a lempus and a tumpus and a jompus.", + "Fae is a jompus." + ] + }, + "in_context_example5": { + "question": "Gorpuses are sterpuses and jompuses and grimpuses. Each gorpus is a lempus. Jompuses are vumpuses. Everything that is a grimpus or a wumpus or a lorpus is a vumpus. Sterpuses are impuses. Wren is a wumpus. Wren is a gorpus.", + "query": "Prove: Wren is a shumpus or a grimpus or a brimpus.", + "chain_of_thought": [ + "Wren is a gorpus.", + "Gorpuses are sterpuses and jompuses and grimpuses.", + "Wren is a sterpus, a jompus, and a grimpus.", + "Wren is a grimpus.", + "Wren is a shumpus, a grimpus, or a brimpus." + ] + }, + "in_context_example6": { + "question": "Every shumpus is a grimpus. Brimpuses are grimpuses. Wumpuses are shumpuses. Impuses are numpuses. Every dumpus is a zumpus. Wumpuses are rompuses. Alex is an impus. Every tumpus is a dumpus, a numpus, and a brimpus. Tumpuses are sterpuses. Every shumpus is not a numpus. Alex is a grimpus. Alex is a wumpus.", + "query": "Prove: Alex is not a tumpus.", + "chain_of_thought": [ + "Alex is a wumpus.", + "Wumpuses are shumpuses.", + "Alex is a shumpus.", + "Every shumpus is not a numpus.", + "Alex is not a numpus.\n\n", + "Assume Alex is a tumpus.", + "Every tumpus is a dumpus, a numpus, and a brimpus.", + "Alex is a dumpus, a numpus, and a brimpus.", + "Alex is a numpus.", + "This contradicts with Alex is not a numpus.", + "Alex is not a tumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Alex is a lorpus. Everything that is a lorpus and an impus and a vumpus is a wumpus. Alex is a numpus. Each dumpus is a lempus. Shumpuses are gorpuses. Everything that is a lorpus and an impus and a vumpus is a dumpus and a yumpus and a shumpus. Alex is a sterpus. Everything that is a numpus, a lorpus, and a sterpus is a wumpus. Alex is a lorpus. Alex is a brimpus. Alex is an impus. Alex is a vumpus.", + "query": "Prove: Alex is a yumpus.", + "chain_of_thought": [ + "Alex is a vumpus.", + "Alex is an impus.", + "Alex is a lorpus.", + "Alex is a lorpus, an impus, and a vumpus.", + "Everything that is a lorpus and an impus and a vumpus is a dumpus and a yumpus and a shumpus.", + "Alex is a dumpus, a yumpus, and a shumpus.", + "Alex is a yumpus." + ] + }, + "test_example": { + "question": "Everything that is a tumpus or a vumpus or a shumpus is a jompus. Wumpuses are grimpuses. Everything that is a tumpus, a vumpus, or a shumpus is a dumpus. Each gorpus is a zumpus. Everything that is a dumpus or a shumpus or a grimpus is a zumpus. Wren is a yumpus, a dumpus, and a brimpus. Wren is a wumpus, a shumpus, and a gorpus.", + "query": "Prove: Wren is a jompus.", + "chain_of_thought": [ + "Wren is a wumpus and a shumpus and a gorpus.", + "Wren is a shumpus.", + "Wren is a tumpus or a vumpus or a shumpus.", + "Everything that is a tumpus or a vumpus or a shumpus is a jompus.", + "Wren is a jompus." + ] + } + }, + "example12": { + "in_context_example0": { + "question": "Tumpuses are lempuses. Each grimpus is a yumpus. Everything that is a vumpus, a numpus, or a lempus is a lorpus. Every tumpus is a vumpus and a wumpus and a grimpus. Wumpuses are lorpuses. Polly is a dumpus. Polly is a tumpus.", + "query": "Prove: Polly is a shumpus or a grimpus or a vumpus.", + "chain_of_thought": [ + "Polly is a tumpus.", + "Every tumpus is a vumpus and a wumpus and a grimpus.", + "Polly is a vumpus and a wumpus and a grimpus.", + "Polly is a vumpus.", + "Polly is a shumpus or a grimpus or a vumpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a shumpus or a numpus or a dumpus is an impus. Every vumpus is a yumpus. Everything that is a shumpus, a numpus, or a dumpus is a gorpus. Every lorpus is a rompus. Everything that is a dumpus, a zumpus, or a wumpus is a lempus. Wren is a zumpus and a jompus and a sterpus. Wren is a dumpus and a lorpus and a vumpus.", + "query": "Prove: Wren is a gorpus.", + "chain_of_thought": [ + "Wren is a dumpus and a lorpus and a vumpus.", + "Wren is a dumpus.", + "Wren is a shumpus, a numpus, or a dumpus.", + "Everything that is a shumpus, a numpus, or a dumpus is a gorpus.", + "Wren is a gorpus." + ] + }, + "in_context_example2": { + "question": "Every shumpus is a tumpus. Every jompus is a grimpus. Brimpuses are wumpuses. Each brimpus is a numpus. Everything that is a wumpus, an impus, or a sterpus is a numpus. Alex is a yumpus, a lorpus, and a rompus. Alex is a brimpus, a jompus, and a shumpus.", + "query": "Prove: Alex is a wumpus or a zumpus or a lempus.", + "chain_of_thought": [ + "Alex is a brimpus, a jompus, and a shumpus.", + "Alex is a brimpus.", + "Brimpuses are wumpuses.", + "Alex is a wumpus.", + "Alex is a wumpus, a zumpus, or a lempus." + ] + }, + "in_context_example3": { + "question": "Lorpuses are gorpuses. Each tumpus is a sterpus. Every tumpus is a lempus. Everything that is a yumpus, a sterpus, or a brimpus is a grimpus. Every zumpus is a wumpus. Sam is a grimpus, a rompus, and a vumpus. Sam is a zumpus, a tumpus, and a lorpus.", + "query": "Prove: Sam is a tumpus or a jompus or a sterpus.", + "chain_of_thought": [ + "Sam is a zumpus and a tumpus and a lorpus.", + "Sam is a tumpus.", + "Each tumpus is a sterpus.", + "Sam is a sterpus.", + "Sam is a tumpus or a jompus or a sterpus." + ] + }, + "in_context_example4": { + "question": "Each brimpus is a yumpus. Every wumpus is a zumpus, a tumpus, and a brimpus. Every zumpus is a jompus. Wumpuses are rompuses. Everything that is a tumpus, a dumpus, or a rompus is a yumpus. Wren is a numpus. Wren is a wumpus.", + "query": "Prove: Wren is a brimpus or a shumpus or a tumpus.", + "chain_of_thought": [ + "Wren is a wumpus.", + "Every wumpus is a zumpus, a tumpus, and a brimpus.", + "Wren is a zumpus, a tumpus, and a brimpus.", + "Wren is a tumpus.", + "Wren is a brimpus or a shumpus or a tumpus." + ] + }, + "in_context_example5": { + "question": "Each rompus is a lorpus. Max is a zumpus. Everything that is a zumpus, a jompus, and a brimpus is a lempus. Max is a jompus. Each sterpus is a dumpus. Everything that is a zumpus, a shumpus, and a vumpus is a brimpus. Max is a brimpus. Everything that is a zumpus, a shumpus, and a vumpus is a gorpus, a sterpus, and a rompus. Max is a tumpus. Max is a zumpus. Max is a shumpus. Max is a vumpus.", + "query": "Prove: Max is a gorpus.", + "chain_of_thought": [ + "Max is a vumpus.", + "Max is a shumpus.", + "Max is a zumpus.", + "Max is a zumpus, a shumpus, and a vumpus.", + "Everything that is a zumpus, a shumpus, and a vumpus is a gorpus, a sterpus, and a rompus.", + "Max is a gorpus and a sterpus and a rompus.", + "Max is a gorpus." + ] + }, + "in_context_example6": { + "question": "Every numpus is a lorpus. Every impus is a tumpus. Impuses are wumpuses. Every zumpus is a vumpus. Stella is a numpus. Each yumpus is a rompus. Every lempus is a vumpus. Every lempus is an impus, a lorpus, and a zumpus. Stella is a tumpus and a sterpus and a wumpus. Stella is a yumpus, Stella is not a lorpus, and Stella is an impus.", + "query": "Prove: Stella is not a lempus.", + "chain_of_thought": [ + "Stella is a yumpus, Stella is not a lorpus, and Stella is an impus.", + "Stella is not a lorpus.\n\n", + "Assume Stella is a lempus.", + "Every lempus is an impus, a lorpus, and a zumpus.", + "Stella is an impus, a lorpus, and a zumpus.", + "Stella is a lorpus.", + "This contradicts with Stella is not a lorpus.", + "Stella is not a lempus.\n\n" + ] + }, + "in_context_example7": { + "question": "Every jompus is a rompus. Dumpuses are not numpuses. Every sterpus is a gorpus. Every impus is a shumpus. Brimpuses are numpuses. Wumpuses are rompuses. Each tumpus is a numpus and a sterpus and a wumpus. Max is a brimpus. Dumpuses are rompuses. Each tumpus is a rompus. Max is a yumpus and a lempus and a shumpus. Max is an impus and a dumpus and a jompus.", + "query": "Prove: Max is not a tumpus.", + "chain_of_thought": [ + "Max is an impus, a dumpus, and a jompus.", + "Max is a dumpus.", + "Dumpuses are not numpuses.", + "Max is not a numpus.\n\n", + "Assume Max is a tumpus.", + "Each tumpus is a numpus and a sterpus and a wumpus.", + "Max is a numpus and a sterpus and a wumpus.", + "Max is a numpus.", + "This contradicts with Max is not a numpus.", + "Max is not a tumpus.\n\n" + ] + }, + "test_example": { + "question": "Lempuses are zumpuses. Everything that is a sterpus, a zumpus, or a tumpus is a grimpus. Numpuses are brimpuses. Gorpuses are vumpuses. Every lempus is a yumpus. Fae is a wumpus and a vumpus and a lorpus. Fae is a numpus, a lempus, and a gorpus.", + "query": "Prove: Fae is a gorpus or a lempus or a zumpus.", + "chain_of_thought": [ + "Fae is a numpus and a lempus and a gorpus.", + "Fae is a lempus.", + "Lempuses are zumpuses.", + "Fae is a zumpus.", + "Fae is a gorpus, a lempus, or a zumpus." + ] + } + }, + "example13": { + "in_context_example0": { + "question": "Everything that is a lorpus or a gorpus or a dumpus is a wumpus. Each impus is a tumpus. Everything that is a dumpus or a yumpus or a shumpus is a wumpus. Vumpuses are jompuses. Everything that is a lorpus or a gorpus or a dumpus is a lempus. Sally is a sterpus, a shumpus, and a rompus. Sally is a vumpus and a dumpus and an impus.", + "query": "Prove: Sally is a lempus.", + "chain_of_thought": [ + "Sally is a vumpus, a dumpus, and an impus.", + "Sally is a dumpus.", + "Sally is a lorpus or a gorpus or a dumpus.", + "Everything that is a lorpus or a gorpus or a dumpus is a lempus.", + "Sally is a lempus." + ] + }, + "in_context_example1": { + "question": "Jompuses are yumpuses. Every brimpus is a tumpus. Each lempus is a dumpus. Jompuses are zumpuses. Each shumpus is an impus. Sam is a brimpus. Each rompus is a dumpus. Lempuses are tumpuses, shumpuses, and jompuses. Sam is a lorpus, an impus, and a yumpus. Sam is a rompus and Sam is not a tumpus and Sam is a jompus.", + "query": "Prove: Sam is not a lempus.", + "chain_of_thought": [ + "Sam is a rompus and Sam is not a tumpus and Sam is a jompus.", + "Sam is not a tumpus.\n\n", + "Assume Sam is a lempus.", + "Lempuses are tumpuses, shumpuses, and jompuses.", + "Sam is a tumpus, a shumpus, and a jompus.", + "Sam is a tumpus.", + "This contradicts with Sam is not a tumpus.", + "Sam is not a lempus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a lempus or a jompus or a shumpus is a zumpus. Everything that is a lempus or a jompus or a shumpus is an impus. Everything that is a lempus or a sterpus or a vumpus is a gorpus. Alex is a grimpus. Dumpuses are zumpuses. Grimpuses are impuses. Dumpuses are yumpuses. Each yumpus is not an impus. Each yumpus is a tumpus. Alex is a grimpus. Alex is a dumpus.", + "query": "Prove: Alex is not a lempus.", + "chain_of_thought": [ + "Alex is a dumpus.", + "Dumpuses are yumpuses.", + "Alex is a yumpus.", + "Each yumpus is not an impus.", + "Alex is not an impus.\n\n", + "Assume Alex is a lempus.", + "Alex is a lempus, a jompus, or a shumpus.", + "Everything that is a lempus or a jompus or a shumpus is an impus.", + "Alex is an impus.", + "This contradicts with Alex is not an impus.", + "Alex is not a lempus.\n\n" + ] + }, + "in_context_example3": { + "question": "Everything that is a gorpus or a dumpus or a numpus is a brimpus. Every yumpus is a sterpus. Everything that is a gorpus or a dumpus or a numpus is a vumpus and a yumpus and a jompus. Everything that is a numpus or an impus or a grimpus is a wumpus. Each jompus is a wumpus. Polly is a grimpus. Polly is a numpus.", + "query": "Prove: Polly is a vumpus.", + "chain_of_thought": [ + "Polly is a numpus.", + "Polly is a gorpus, a dumpus, or a numpus.", + "Everything that is a gorpus or a dumpus or a numpus is a vumpus and a yumpus and a jompus.", + "Polly is a vumpus and a yumpus and a jompus.", + "Polly is a vumpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a numpus or a brimpus or an impus is a tumpus, a jompus, and a dumpus. Dumpuses are sterpuses. Everything that is a numpus or a brimpus or an impus is a lorpus. Each jompus is a wumpus. Everything that is a wumpus, a numpus, or a sterpus is a yumpus. Polly is a zumpus. Polly is a numpus.", + "query": "Prove: Polly is a tumpus.", + "chain_of_thought": [ + "Polly is a numpus.", + "Polly is a numpus or a brimpus or an impus.", + "Everything that is a numpus or a brimpus or an impus is a tumpus, a jompus, and a dumpus.", + "Polly is a tumpus, a jompus, and a dumpus.", + "Polly is a tumpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a zumpus, a tumpus, or an impus is not a rompus. Everything that is a zumpus, a tumpus, or an impus is a jompus. Every brimpus is a rompus and a dumpus and a lorpus. Jompuses are rompuses. Dumpuses are yumpuses. Lorpuses are lempuses. Everything that is a zumpus, a shumpus, or a lempus is a numpus. Stella is a jompus. Every brimpus is a vumpus. Stella is a numpus. Stella is a zumpus.", + "query": "Prove: Stella is not a brimpus.", + "chain_of_thought": [ + "Stella is a zumpus.", + "Stella is a zumpus, a tumpus, or an impus.", + "Everything that is a zumpus, a tumpus, or an impus is not a rompus.", + "Stella is not a rompus.\n\n", + "Assume Stella is a brimpus.", + "Every brimpus is a rompus and a dumpus and a lorpus.", + "Stella is a rompus and a dumpus and a lorpus.", + "Stella is a rompus.", + "This contradicts with Stella is not a rompus.", + "Stella is not a brimpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Each brimpus is a rompus. Every zumpus is a jompus. Sterpuses are wumpuses. Each sterpus is a lorpus. Everything that is a wumpus or a lorpus or a jompus is a grimpus. Stella is a yumpus, a lorpus, and a shumpus. Stella is a brimpus and a sterpus and a zumpus.", + "query": "Prove: Stella is an impus or a tumpus or a wumpus.", + "chain_of_thought": [ + "Stella is a brimpus and a sterpus and a zumpus.", + "Stella is a sterpus.", + "Sterpuses are wumpuses.", + "Stella is a wumpus.", + "Stella is an impus, a tumpus, or a wumpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a yumpus, a sterpus, and a lorpus is a tumpus. Alex is a shumpus. Alex is a vumpus. Alex is a yumpus. Everything that is a yumpus, a shumpus, and a vumpus is a lempus. Everything that is a yumpus, a sterpus, and a lorpus is a grimpus and an impus and a zumpus. Each zumpus is a vumpus. Each impus is a rompus. Alex is a wumpus. Alex is a yumpus. Alex is a sterpus. Alex is a lorpus.", + "query": "Prove: Alex is a grimpus.", + "chain_of_thought": [ + "Alex is a lorpus.", + "Alex is a sterpus.", + "Alex is a yumpus.", + "Alex is a yumpus and a sterpus and a lorpus.", + "Everything that is a yumpus, a sterpus, and a lorpus is a grimpus and an impus and a zumpus.", + "Alex is a grimpus, an impus, and a zumpus.", + "Alex is a grimpus." + ] + }, + "test_example": { + "question": "Max is a wumpus. Max is a jompus. Each gorpus is a wumpus. Each numpus is a vumpus. Everything that is a jompus and a grimpus and a zumpus is a dumpus. Everything that is a jompus, a vumpus, and a wumpus is a lempus. Everything that is a jompus and a grimpus and a zumpus is a gorpus and a numpus and a yumpus. Max is a vumpus. Max is a jompus. Max is a sterpus. Max is a grimpus. Max is a zumpus.", + "query": "Prove: Max is a yumpus.", + "chain_of_thought": [ + "Max is a zumpus.", + "Max is a grimpus.", + "Max is a jompus.", + "Max is a jompus, a grimpus, and a zumpus.", + "Everything that is a jompus and a grimpus and a zumpus is a gorpus and a numpus and a yumpus.", + "Max is a gorpus and a numpus and a yumpus.", + "Max is a yumpus." + ] + } + }, + "example14": { + "in_context_example0": { + "question": "Each impus is a tumpus. Zumpuses are jompuses. Everything that is a vumpus, a lorpus, or a tumpus is a rompus. Each grimpus is a shumpus. Grimpuses are impuses and zumpuses and vumpuses. Alex is a shumpus. Alex is a grimpus.", + "query": "Prove: Alex is an impus or a vumpus or a numpus.", + "chain_of_thought": [ + "Alex is a grimpus.", + "Grimpuses are impuses and zumpuses and vumpuses.", + "Alex is an impus, a zumpus, and a vumpus.", + "Alex is a vumpus.", + "Alex is an impus, a vumpus, or a numpus." + ] + }, + "in_context_example1": { + "question": "Numpuses are brimpuses. Everything that is a dumpus or a zumpus or a gorpus is a wumpus. Everything that is a dumpus, a zumpus, or a gorpus is a lempus. Everything that is an impus, a gorpus, or a vumpus is a brimpus. Each dumpus is a tumpus. Max is a rompus, a shumpus, and a lorpus. Max is a dumpus and a gorpus and a numpus.", + "query": "Prove: Max is a wumpus.", + "chain_of_thought": [ + "Max is a dumpus and a gorpus and a numpus.", + "Max is a gorpus.", + "Max is a dumpus or a zumpus or a gorpus.", + "Everything that is a dumpus or a zumpus or a gorpus is a wumpus.", + "Max is a wumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a grimpus, a tumpus, or a lempus is a vumpus. Everything that is a grimpus, a tumpus, or a lempus is a shumpus. Everything that is a grimpus or a jompus or an impus is a dumpus. Every brimpus is a lorpus. Every lorpus is a shumpus. Stella is a lorpus. Rompuses are impuses. Each zumpus is a numpus. Zumpuses are not shumpuses. Stella is a sterpus, an impus, and a lorpus. Stella is a rompus, a brimpus, and a zumpus.", + "query": "Prove: Stella is not a grimpus.", + "chain_of_thought": [ + "Stella is a rompus and a brimpus and a zumpus.", + "Stella is a zumpus.", + "Zumpuses are not shumpuses.", + "Stella is not a shumpus.\n\n", + "Assume Stella is a grimpus.", + "Stella is a grimpus, a tumpus, or a lempus.", + "Everything that is a grimpus, a tumpus, or a lempus is a shumpus.", + "Stella is a shumpus.", + "This contradicts with Stella is not a shumpus.", + "Stella is not a grimpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Alex is a dumpus. Every yumpus is a lempus. Tumpuses are grimpuses and jompuses and zumpuses. Dumpuses are zumpuses. Tumpuses are shumpuses. Vumpuses are numpuses. Grimpuses are lorpuses. Jompuses are numpuses. Alex is a lempus and a numpus and a wumpus. Alex is a yumpus, Alex is not a zumpus, and Alex is a vumpus.", + "query": "Prove: Alex is not a tumpus.", + "chain_of_thought": [ + "Alex is a yumpus and Alex is not a zumpus and Alex is a vumpus.", + "Alex is not a zumpus.\n\n", + "Assume Alex is a tumpus.", + "Tumpuses are grimpuses and jompuses and zumpuses.", + "Alex is a grimpus and a jompus and a zumpus.", + "Alex is a zumpus.", + "This contradicts with Alex is not a zumpus.", + "Alex is not a tumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Everything that is a numpus, a vumpus, and a grimpus is an impus. Fae is a vumpus. Everything that is a numpus, a gorpus, and a sterpus is a lorpus. Each wumpus is a lempus. Fae is a grimpus. Everything that is a numpus and a gorpus and a sterpus is a wumpus, a rompus, and a dumpus. Rompuses are tumpuses. Fae is a numpus. Fae is a numpus. Fae is a gorpus. Fae is an impus. Fae is a sterpus.", + "query": "Prove: Fae is a dumpus.", + "chain_of_thought": [ + "Fae is a sterpus.", + "Fae is a gorpus.", + "Fae is a numpus.", + "Fae is a numpus, a gorpus, and a sterpus.", + "Everything that is a numpus and a gorpus and a sterpus is a wumpus, a rompus, and a dumpus.", + "Fae is a wumpus and a rompus and a dumpus.", + "Fae is a dumpus." + ] + }, + "in_context_example5": { + "question": "Each grimpus is a rompus. Numpuses are yumpuses. Each lorpus is a wumpus. Wren is a lorpus. Impuses are tumpuses and wumpuses and shumpuses. Impuses are brimpuses. Tumpuses are vumpuses. Shumpuses are yumpuses. Wren is a zumpus, a lempus, and a lorpus. Wren is not a wumpus and Wren is a grimpus and Wren is a numpus.", + "query": "Prove: Wren is not an impus.", + "chain_of_thought": [ + "Wren is not a wumpus and Wren is a grimpus and Wren is a numpus.", + "Wren is not a wumpus.\n\n", + "Assume Wren is an impus.", + "Impuses are tumpuses and wumpuses and shumpuses.", + "Wren is a tumpus and a wumpus and a shumpus.", + "Wren is a wumpus.", + "This contradicts with Wren is not a wumpus.", + "Wren is not an impus.\n\n" + ] + }, + "in_context_example6": { + "question": "Each jompus is a lorpus. Numpuses are yumpuses. Zumpuses are grimpuses. Jompuses are gorpuses and zumpuses and numpuses. Everything that is a dumpus or a gorpus or a shumpus is an impus. Alex is a lempus. Alex is a jompus.", + "query": "Prove: Alex is a wumpus, a numpus, or a gorpus.", + "chain_of_thought": [ + "Alex is a jompus.", + "Jompuses are gorpuses and zumpuses and numpuses.", + "Alex is a gorpus and a zumpus and a numpus.", + "Alex is a gorpus.", + "Alex is a wumpus, a numpus, or a gorpus." + ] + }, + "in_context_example7": { + "question": "Alex is a numpus. Numpuses are grimpuses. Alex is a tumpus. Every sterpus is a jompus, a wumpus, and a grimpus. Every jompus is a shumpus. Everything that is a jompus and a vumpus and a lorpus is a lempus. Everything that is a jompus, a tumpus, and a brimpus is a rompus. Alex is a jompus. Alex is a brimpus. Sterpuses are shumpuses. Each wumpus is a brimpus. Everything that is a jompus and a vumpus and a lorpus is not a grimpus. Alex is a jompus. Alex is a dumpus. Alex is a vumpus. Alex is a lorpus.", + "query": "Prove: Alex is not a sterpus.", + "chain_of_thought": [ + "Alex is a lorpus.", + "Alex is a vumpus.", + "Alex is a jompus.", + "Alex is a jompus, a vumpus, and a lorpus.", + "Everything that is a jompus and a vumpus and a lorpus is not a grimpus.", + "Alex is not a grimpus.\n\n", + "Assume Alex is a sterpus.", + "Every sterpus is a jompus, a wumpus, and a grimpus.", + "Alex is a jompus and a wumpus and a grimpus.", + "Alex is a grimpus.", + "This contradicts with Alex is not a grimpus.", + "Alex is not a sterpus.\n\n" + ] + }, + "test_example": { + "question": "Every rompus is a gorpus. Everything that is a zumpus, a dumpus, or a yumpus is a numpus, a vumpus, and a rompus. Vumpuses are tumpuses. Everything that is a zumpus or a lorpus or a lempus is a brimpus. Everything that is a zumpus, a dumpus, or a yumpus is a lempus. Fae is a lorpus. Fae is a zumpus.", + "query": "Prove: Fae is a numpus.", + "chain_of_thought": [ + "Fae is a zumpus.", + "Fae is a zumpus or a dumpus or a yumpus.", + "Everything that is a zumpus, a dumpus, or a yumpus is a numpus, a vumpus, and a rompus.", + "Fae is a numpus and a vumpus and a rompus.", + "Fae is a numpus." + ] + } + }, + "example15": { + "in_context_example0": { + "question": "Each rompus is a sterpus. Vumpuses are sterpuses. Everything that is a yumpus, a lempus, or a sterpus is a grimpus. Every rompus is a lempus. Each jompus is a brimpus. Stella is a tumpus and an impus and a grimpus. Stella is a jompus and a rompus and a vumpus.", + "query": "Prove: Stella is a gorpus, a jompus, or a lempus.", + "chain_of_thought": [ + "Stella is a jompus, a rompus, and a vumpus.", + "Stella is a rompus.", + "Every rompus is a lempus.", + "Stella is a lempus.", + "Stella is a gorpus, a jompus, or a lempus." + ] + }, + "in_context_example1": { + "question": "Every wumpus is a yumpus. Everything that is a rompus, a dumpus, or a vumpus is a jompus. Each brimpus is a dumpus. Every shumpus is a sterpus. Brimpuses are wumpuses, shumpuses, and rompuses. Wren is a gorpus. Wren is a brimpus.", + "query": "Prove: Wren is a rompus or a tumpus or a grimpus.", + "chain_of_thought": [ + "Wren is a brimpus.", + "Brimpuses are wumpuses, shumpuses, and rompuses.", + "Wren is a wumpus, a shumpus, and a rompus.", + "Wren is a rompus.", + "Wren is a rompus or a tumpus or a grimpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a dumpus or a brimpus or a rompus is a numpus. Gorpuses are jompuses. Each lempus is a zumpus. Everything that is a brimpus, an impus, or a lorpus is a sterpus. Everything that is a dumpus, a brimpus, or a rompus is a grimpus and a lempus and a gorpus. Stella is an impus. Stella is a brimpus.", + "query": "Prove: Stella is a grimpus.", + "chain_of_thought": [ + "Stella is a brimpus.", + "Stella is a dumpus or a brimpus or a rompus.", + "Everything that is a dumpus, a brimpus, or a rompus is a grimpus and a lempus and a gorpus.", + "Stella is a grimpus, a lempus, and a gorpus.", + "Stella is a grimpus." + ] + }, + "in_context_example3": { + "question": "Each numpus is a wumpus. Max is a gorpus. Gorpuses are rompuses. Every vumpus is a yumpus. Each yumpus is a gorpus. Yumpuses are rompuses. Each vumpus is a zumpus. Each grimpus is a shumpus. Max is a dumpus and a lorpus and a sterpus. Max is not a rompus and Max is a numpus and Max is a grimpus.", + "query": "Prove: Max is not a vumpus.", + "chain_of_thought": [ + "Max is not a rompus, Max is a numpus, and Max is a grimpus.", + "Max is not a rompus.\n\n", + "Assume Max is a vumpus.", + "Every vumpus is a yumpus.", + "Max is a yumpus.", + "Yumpuses are rompuses.", + "Max is a rompus.", + "This contradicts with Max is not a rompus.", + "Max is not a vumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Everything that is a gorpus, a numpus, or an impus is a shumpus. Sterpuses are gorpuses. Everything that is a numpus, a lorpus, or a grimpus is a tumpus. Each dumpus is a yumpus. Everything that is a numpus or a lorpus or a grimpus is a wumpus. Rex is a yumpus, a lempus, and a rompus. Rex is a sterpus, a numpus, and a dumpus.", + "query": "Prove: Rex is a tumpus.", + "chain_of_thought": [ + "Rex is a sterpus, a numpus, and a dumpus.", + "Rex is a numpus.", + "Rex is a numpus or a lorpus or a grimpus.", + "Everything that is a numpus, a lorpus, or a grimpus is a tumpus.", + "Rex is a tumpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a tumpus and an impus and a vumpus is a zumpus, a lorpus, and a lempus. Everything that is a tumpus, an impus, and a vumpus is a shumpus. Fae is a tumpus. Each lorpus is a numpus. Fae is a brimpus. Lempuses are rompuses. Everything that is a numpus and a tumpus and a brimpus is a sterpus. Fae is a numpus. Fae is a shumpus. Fae is a tumpus. Fae is an impus. Fae is a vumpus.", + "query": "Prove: Fae is a zumpus.", + "chain_of_thought": [ + "Fae is a vumpus.", + "Fae is an impus.", + "Fae is a tumpus.", + "Fae is a tumpus, an impus, and a vumpus.", + "Everything that is a tumpus and an impus and a vumpus is a zumpus, a lorpus, and a lempus.", + "Fae is a zumpus and a lorpus and a lempus.", + "Fae is a zumpus." + ] + }, + "in_context_example6": { + "question": "Impuses are jompuses. Every sterpus is a vumpus and a wumpus and an impus. Every vumpus is a zumpus. Everything that is a wumpus or a gorpus or a lempus is a grimpus. Every sterpus is a shumpus. Wren is a tumpus. Wren is a sterpus.", + "query": "Prove: Wren is an impus or a wumpus or a brimpus.", + "chain_of_thought": [ + "Wren is a sterpus.", + "Every sterpus is a vumpus and a wumpus and an impus.", + "Wren is a vumpus and a wumpus and an impus.", + "Wren is a wumpus.", + "Wren is an impus or a wumpus or a brimpus." + ] + }, + "in_context_example7": { + "question": "Every grimpus is a jompus. Each lorpus is a lempus. Every grimpus is a zumpus and a lorpus and a shumpus. Everything that is a zumpus, a gorpus, or a vumpus is a jompus. Each shumpus is a jompus. Sally is a vumpus. Sally is a grimpus.", + "query": "Prove: Sally is a zumpus, a sterpus, or a brimpus.", + "chain_of_thought": [ + "Sally is a grimpus.", + "Every grimpus is a zumpus and a lorpus and a shumpus.", + "Sally is a zumpus and a lorpus and a shumpus.", + "Sally is a zumpus.", + "Sally is a zumpus, a sterpus, or a brimpus." + ] + }, + "test_example": { + "question": "Every tumpus is a numpus. Every gorpus is a lorpus. Each gorpus is a wumpus. Every lempus is a rompus. Everything that is a wumpus or a zumpus or an impus is a dumpus. Fae is a zumpus and a shumpus and an impus. Fae is a lempus, a tumpus, and a gorpus.", + "query": "Prove: Fae is a sterpus, a jompus, or a wumpus.", + "chain_of_thought": [ + "Fae is a lempus, a tumpus, and a gorpus.", + "Fae is a gorpus.", + "Each gorpus is a wumpus.", + "Fae is a wumpus.", + "Fae is a sterpus, a jompus, or a wumpus." + ] + } + }, + "example16": { + "in_context_example0": { + "question": "Everything that is a zumpus or a grimpus or a shumpus is a brimpus. Everything that is a jompus, a tumpus, or a zumpus is a brimpus. Gorpuses are brimpuses. Everything that is a jompus or a tumpus or a zumpus is an impus and a lempus and a gorpus. Every impus is a sterpus. Fae is a grimpus. Fae is a zumpus.", + "query": "Prove: Fae is a lempus.", + "chain_of_thought": [ + "Fae is a zumpus.", + "Fae is a jompus, a tumpus, or a zumpus.", + "Everything that is a jompus or a tumpus or a zumpus is an impus and a lempus and a gorpus.", + "Fae is an impus, a lempus, and a gorpus.", + "Fae is a lempus." + ] + }, + "in_context_example1": { + "question": "Every sterpus is a lempus. Sally is a brimpus. Everything that is a tumpus, an impus, and a numpus is a sterpus, a yumpus, and a zumpus. Zumpuses are grimpuses. Everything that is a tumpus, a dumpus, and a brimpus is a rompus. Sally is a tumpus. Sally is a dumpus. Everything that is a tumpus, an impus, and a numpus is a dumpus. Sally is a tumpus. Sally is an impus. Sally is a vumpus. Sally is a numpus.", + "query": "Prove: Sally is a yumpus.", + "chain_of_thought": [ + "Sally is a numpus.", + "Sally is an impus.", + "Sally is a tumpus.", + "Sally is a tumpus and an impus and a numpus.", + "Everything that is a tumpus, an impus, and a numpus is a sterpus, a yumpus, and a zumpus.", + "Sally is a sterpus, a yumpus, and a zumpus.", + "Sally is a yumpus." + ] + }, + "in_context_example2": { + "question": "Impuses are jompuses, numpuses, and sterpuses. Each numpus is a lempus. Everything that is a lorpus or a jompus or a zumpus is a shumpus. Each impus is a wumpus. Sterpuses are zumpuses. Sam is a zumpus. Sam is an impus.", + "query": "Prove: Sam is a jompus or a yumpus or a grimpus.", + "chain_of_thought": [ + "Sam is an impus.", + "Impuses are jompuses, numpuses, and sterpuses.", + "Sam is a jompus and a numpus and a sterpus.", + "Sam is a jompus.", + "Sam is a jompus or a yumpus or a grimpus." + ] + }, + "in_context_example3": { + "question": "Rompuses are sterpuses. Wren is a shumpus. Zumpuses are jompuses. Lorpuses are sterpuses. Lorpuses are wumpuses. Each shumpus is a wumpus. Numpuses are lorpuses. Each numpus is a grimpus. Wren is a vumpus and an impus and a shumpus. Wren is a rompus, Wren is a zumpus, and Wren is not a wumpus.", + "query": "Prove: Wren is not a numpus.", + "chain_of_thought": [ + "Wren is a rompus, Wren is a zumpus, and Wren is not a wumpus.", + "Wren is not a wumpus.\n\n", + "Assume Wren is a numpus.", + "Numpuses are lorpuses.", + "Wren is a lorpus.", + "Lorpuses are wumpuses.", + "Wren is a wumpus.", + "This contradicts with Wren is not a wumpus.", + "Wren is not a numpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Every jompus is not a lorpus. Fae is a yumpus. Dumpuses are grimpuses. Each yumpus is a lorpus. Impuses are rompuses. Vumpuses are yumpuses. Jompuses are lempuses. Sterpuses are numpuses. Wumpuses are numpuses. Each dumpus is an impus, a sterpus, and a lorpus. Fae is a yumpus, a tumpus, and a zumpus. Fae is a vumpus, a wumpus, and a jompus.", + "query": "Prove: Fae is not a dumpus.", + "chain_of_thought": [ + "Fae is a vumpus and a wumpus and a jompus.", + "Fae is a jompus.", + "Every jompus is not a lorpus.", + "Fae is not a lorpus.\n\n", + "Assume Fae is a dumpus.", + "Each dumpus is an impus, a sterpus, and a lorpus.", + "Fae is an impus and a sterpus and a lorpus.", + "Fae is a lorpus.", + "This contradicts with Fae is not a lorpus.", + "Fae is not a dumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Each grimpus is a yumpus. Polly is a zumpus. Polly is a sterpus. Everything that is a zumpus, a dumpus, and a wumpus is a lempus. Each gorpus is a vumpus. Everything that is a zumpus, a sterpus, and a vumpus is a tumpus. Brimpuses are lempuses. Everything that is a zumpus, a dumpus, and a wumpus is a vumpus. Polly is a vumpus. Polly is a brimpus. Polly is a rompus, a brimpus, and a sterpus. Polly is a grimpus, Polly is not a lempus, and Polly is a gorpus. Polly is a zumpus. Polly is a wumpus.", + "query": "Prove: Polly is not a dumpus.", + "chain_of_thought": [ + "Polly is a grimpus and Polly is not a lempus and Polly is a gorpus.", + "Polly is not a lempus.", + "Polly is a wumpus.\n\n", + "Assume Polly is a dumpus.", + "Polly is a zumpus.", + "Polly is a zumpus, a dumpus, and a wumpus.", + "Everything that is a zumpus, a dumpus, and a wumpus is a lempus.", + "Polly is a lempus.", + "This contradicts with Polly is not a lempus.", + "Polly is not a dumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Each impus is a zumpus. Everything that is a lempus or a lorpus or a dumpus is a zumpus. Everything that is a grimpus or a lorpus or a jompus is a yumpus. Numpuses are wumpuses. Everything that is a grimpus or a lorpus or a jompus is a numpus and an impus and a vumpus. Rex is a lempus. Rex is a lorpus.", + "query": "Prove: Rex is a vumpus.", + "chain_of_thought": [ + "Rex is a lorpus.", + "Rex is a grimpus, a lorpus, or a jompus.", + "Everything that is a grimpus or a lorpus or a jompus is a numpus and an impus and a vumpus.", + "Rex is a numpus and an impus and a vumpus.", + "Rex is a vumpus." + ] + }, + "in_context_example7": { + "question": "Numpuses are impuses. Each grimpus is a vumpus. Every impus is a rompus. Numpuses are sterpuses. Everything that is an impus, a zumpus, or a sterpus is a dumpus. Polly is a tumpus and a wumpus and a dumpus. Polly is a numpus, a grimpus, and an impus.", + "query": "Prove: Polly is a jompus or an impus or a shumpus.", + "chain_of_thought": [ + "Polly is a numpus and a grimpus and an impus.", + "Polly is a numpus.", + "Numpuses are impuses.", + "Polly is an impus.", + "Polly is a jompus or an impus or a shumpus." + ] + }, + "test_example": { + "question": "Every numpus is an impus, a shumpus, and a dumpus. Everything that is a lorpus or a dumpus or a rompus is a tumpus. Impuses are lorpuses. Numpuses are gorpuses. Every shumpus is a tumpus. Rex is a lorpus. Rex is a numpus.", + "query": "Prove: Rex is a yumpus, a dumpus, or a brimpus.", + "chain_of_thought": [ + "Rex is a numpus.", + "Every numpus is an impus, a shumpus, and a dumpus.", + "Rex is an impus, a shumpus, and a dumpus.", + "Rex is a dumpus.", + "Rex is a yumpus, a dumpus, or a brimpus." + ] + } + }, + "example17": { + "in_context_example0": { + "question": "Rex is a lorpus. Everything that is a sterpus and a rompus and a lorpus is a jompus. Shumpuses are sterpuses. Everything that is a rompus and a wumpus and a gorpus is a jompus. Everything that is a rompus and a wumpus and a gorpus is a lempus and a shumpus and a brimpus. Rex is a sterpus. Brimpuses are vumpuses. Rex is a rompus. Rex is a rompus. Rex is a wumpus. Rex is a numpus. Rex is a gorpus.", + "query": "Prove: Rex is a lempus.", + "chain_of_thought": [ + "Rex is a gorpus.", + "Rex is a wumpus.", + "Rex is a rompus.", + "Rex is a rompus, a wumpus, and a gorpus.", + "Everything that is a rompus and a wumpus and a gorpus is a lempus and a shumpus and a brimpus.", + "Rex is a lempus and a shumpus and a brimpus.", + "Rex is a lempus." + ] + }, + "in_context_example1": { + "question": "Everything that is a wumpus, a sterpus, or an impus is a rompus. Everything that is a dumpus, a gorpus, or a wumpus is an impus. Every lorpus is a numpus. Everything that is a dumpus or a gorpus or a wumpus is a lempus, a vumpus, and a lorpus. Lempuses are jompuses. Alex is a shumpus. Alex is a wumpus.", + "query": "Prove: Alex is a vumpus.", + "chain_of_thought": [ + "Alex is a wumpus.", + "Alex is a dumpus or a gorpus or a wumpus.", + "Everything that is a dumpus or a gorpus or a wumpus is a lempus, a vumpus, and a lorpus.", + "Alex is a lempus and a vumpus and a lorpus.", + "Alex is a vumpus." + ] + }, + "in_context_example2": { + "question": "Impuses are vumpuses. Sally is a wumpus. Sally is a gorpus. Everything that is a zumpus or a lempus or a vumpus is a brimpus. Yumpuses are not grimpuses. Sally is a jompus. Everything that is a jompus and a gorpus and a wumpus is a brimpus. Everything that is a zumpus or a lempus or a vumpus is a gorpus. Everything that is a zumpus or a brimpus or a rompus is a dumpus. Gorpuses are grimpuses. Sally is a jompus. Sally is a zumpus. Sally is a yumpus. Sally is a gorpus and a numpus and an impus.", + "query": "Prove: Sally is a gorpus, Sally is not a gorpus, and Sally is a vumpus.", + "chain_of_thought": [ + "Sally is a gorpus and a numpus and an impus.", + "Sally is an impus.", + "Impuses are vumpuses.", + "Sally is a vumpus.", + "Sally is a yumpus.", + "Yumpuses are not grimpuses.", + "Sally is not a grimpus.\n\n", + "Assume Sally is a gorpus.", + "Gorpuses are grimpuses.", + "Sally is a grimpus.", + "This contradicts with Sally is not a grimpus.", + "Sally is not a gorpus.\n\n", + "Sally is a zumpus.", + "Sally is a zumpus or a lempus or a vumpus.", + "Everything that is a zumpus or a lempus or a vumpus is a gorpus.", + "Sally is a gorpus.", + "Sally is a gorpus, Sally is not a gorpus, and Sally is a vumpus." + ] + }, + "in_context_example3": { + "question": "Grimpuses are impuses. Every zumpus is a numpus. Everything that is a dumpus, a jompus, or a rompus is a lempus. Brimpuses are zumpuses and grimpuses and dumpuses. Every brimpus is a wumpus. Fae is a rompus. Fae is a brimpus.", + "query": "Prove: Fae is a tumpus or a gorpus or a dumpus.", + "chain_of_thought": [ + "Fae is a brimpus.", + "Brimpuses are zumpuses and grimpuses and dumpuses.", + "Fae is a zumpus, a grimpus, and a dumpus.", + "Fae is a dumpus.", + "Fae is a tumpus, a gorpus, or a dumpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a lorpus and a lempus and a shumpus is a zumpus. Polly is a lorpus. Every gorpus is a numpus. Polly is a shumpus. Polly is a lempus. Everything that is a lorpus and a grimpus and a brimpus is a vumpus. Each jompus is a sterpus. Everything that is a lorpus and a grimpus and a brimpus is a gorpus and a rompus and a jompus. Polly is a lorpus. Polly is a grimpus. Polly is an impus. Polly is a brimpus.", + "query": "Prove: Polly is a rompus.", + "chain_of_thought": [ + "Polly is a brimpus.", + "Polly is a grimpus.", + "Polly is a lorpus.", + "Polly is a lorpus, a grimpus, and a brimpus.", + "Everything that is a lorpus and a grimpus and a brimpus is a gorpus and a rompus and a jompus.", + "Polly is a gorpus, a rompus, and a jompus.", + "Polly is a rompus." + ] + }, + "in_context_example5": { + "question": "Stella is a rompus. Every gorpus is a lorpus. Each lempus is a sterpus. Each impus is a brimpus. Each shumpus is a brimpus. Dumpuses are numpuses. Every rompus is a wumpus. Every shumpus is a wumpus and a dumpus and an impus. Stella is a vumpus, a tumpus, and a sterpus. Stella is a lempus and Stella is a gorpus and Stella is not a wumpus.", + "query": "Prove: Stella is not a shumpus.", + "chain_of_thought": [ + "Stella is a lempus and Stella is a gorpus and Stella is not a wumpus.", + "Stella is not a wumpus.\n\n", + "Assume Stella is a shumpus.", + "Every shumpus is a wumpus and a dumpus and an impus.", + "Stella is a wumpus, a dumpus, and an impus.", + "Stella is a wumpus.", + "This contradicts with Stella is not a wumpus.", + "Stella is not a shumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Everything that is a vumpus or a lempus or a gorpus is a tumpus. Everything that is a grimpus, a wumpus, and a dumpus is a lempus. Sally is a grimpus. Everything that is a grimpus and a wumpus and a dumpus is a numpus. Sally is a zumpus. Sally is a lorpus. Everything that is a grimpus, a zumpus, and a lorpus is a vumpus. Sally is a grimpus. Sally is a wumpus. Sally is a gorpus. Sally is a dumpus.", + "query": "Prove: Sally is a shumpus or a brimpus or a lempus.", + "chain_of_thought": [ + "Sally is a dumpus.", + "Sally is a wumpus.", + "Sally is a grimpus.", + "Sally is a grimpus and a wumpus and a dumpus.", + "Everything that is a grimpus, a wumpus, and a dumpus is a lempus.", + "Sally is a lempus.", + "Sally is a shumpus, a brimpus, or a lempus." + ] + }, + "in_context_example7": { + "question": "Everything that is a sterpus or a grimpus or a yumpus is a numpus. Each dumpus is a lempus. Zumpuses are yumpuses. Each rompus is a jompus. Each rompus is a zumpus, a dumpus, and a sterpus. Stella is a yumpus. Stella is a rompus.", + "query": "Prove: Stella is a tumpus, a sterpus, or a vumpus.", + "chain_of_thought": [ + "Stella is a rompus.", + "Each rompus is a zumpus, a dumpus, and a sterpus.", + "Stella is a zumpus, a dumpus, and a sterpus.", + "Stella is a sterpus.", + "Stella is a tumpus or a sterpus or a vumpus." + ] + }, + "test_example": { + "question": "Everything that is a dumpus, a lempus, and a tumpus is a zumpus. Shumpuses are sterpuses. Everything that is a dumpus and a lempus and a tumpus is a jompus. Everything that is a gorpus, a dumpus, and a jompus is a numpus. Each wumpus is a numpus. Rex is a jompus. Rex is a gorpus. Gorpuses are zumpuses. Rex is a dumpus. Rex is a wumpus and Rex is not a zumpus and Rex is a shumpus. Rex is a sterpus, a lorpus, and a jompus. Rex is a dumpus. Rex is a tumpus.", + "query": "Prove: Rex is not a lempus.", + "chain_of_thought": [ + "Rex is a wumpus, Rex is not a zumpus, and Rex is a shumpus.", + "Rex is not a zumpus.", + "Rex is a tumpus.\n\n", + "Assume Rex is a lempus.", + "Rex is a dumpus.", + "Rex is a dumpus and a lempus and a tumpus.", + "Everything that is a dumpus, a lempus, and a tumpus is a zumpus.", + "Rex is a zumpus.", + "This contradicts with Rex is not a zumpus.", + "Rex is not a lempus.\n\n" + ] + } + }, + "example18": { + "in_context_example0": { + "question": "Each dumpus is a zumpus. Lorpuses are shumpuses, wumpuses, and dumpuses. Lorpuses are yumpuses. Every wumpus is a tumpus. Everything that is a shumpus or a lempus or a vumpus is a tumpus. Alex is a numpus. Alex is a lorpus.", + "query": "Prove: Alex is a sterpus, a shumpus, or a rompus.", + "chain_of_thought": [ + "Alex is a lorpus.", + "Lorpuses are shumpuses, wumpuses, and dumpuses.", + "Alex is a shumpus, a wumpus, and a dumpus.", + "Alex is a shumpus.", + "Alex is a sterpus, a shumpus, or a rompus." + ] + }, + "in_context_example1": { + "question": "Everything that is a vumpus, an impus, or a tumpus is a dumpus. Every lempus is a jompus. Lempuses are wumpuses. Everything that is a vumpus or an impus or a tumpus is not a zumpus. Wumpuses are zumpuses. Each sterpus is a zumpus. Each wumpus is a jompus. Everything that is a gorpus, an impus, or a rompus is a shumpus. Fae is a sterpus. Fae is a dumpus. Fae is an impus.", + "query": "Prove: Fae is not a lempus.", + "chain_of_thought": [ + "Fae is an impus.", + "Fae is a vumpus, an impus, or a tumpus.", + "Everything that is a vumpus or an impus or a tumpus is not a zumpus.", + "Fae is not a zumpus.\n\n", + "Assume Fae is a lempus.", + "Lempuses are wumpuses.", + "Fae is a wumpus.", + "Wumpuses are zumpuses.", + "Fae is a zumpus.", + "This contradicts with Fae is not a zumpus.", + "Fae is not a lempus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a grimpus, an impus, or a lorpus is a brimpus, a jompus, and a rompus. Everything that is a grimpus or an impus or a lorpus is a tumpus. Every rompus is a dumpus. Jompuses are numpuses. Everything that is a lempus, a lorpus, or a gorpus is a dumpus. Sam is a gorpus. Sam is a lorpus.", + "query": "Prove: Sam is a brimpus.", + "chain_of_thought": [ + "Sam is a lorpus.", + "Sam is a grimpus or an impus or a lorpus.", + "Everything that is a grimpus, an impus, or a lorpus is a brimpus, a jompus, and a rompus.", + "Sam is a brimpus and a jompus and a rompus.", + "Sam is a brimpus." + ] + }, + "in_context_example3": { + "question": "Shumpuses are numpuses. Rompuses are dumpuses. Everything that is a lorpus, a zumpus, or a lempus is a sterpus. Wumpuses are rompuses and shumpuses and zumpuses. Each wumpus is a lempus. Wren is a grimpus. Wren is a wumpus.", + "query": "Prove: Wren is a brimpus, a zumpus, or a rompus.", + "chain_of_thought": [ + "Wren is a wumpus.", + "Wumpuses are rompuses and shumpuses and zumpuses.", + "Wren is a rompus, a shumpus, and a zumpus.", + "Wren is a zumpus.", + "Wren is a brimpus, a zumpus, or a rompus." + ] + }, + "in_context_example4": { + "question": "Everything that is a gorpus, a zumpus, or a grimpus is a numpus. Shumpuses are dumpuses. Everything that is a brimpus or a tumpus or a zumpus is a rompus. Lempuses are grimpuses. Everything that is a brimpus, a tumpus, or a zumpus is a jompus. Max is a dumpus and a gorpus and a rompus. Max is a shumpus, a zumpus, and a lempus.", + "query": "Prove: Max is a jompus.", + "chain_of_thought": [ + "Max is a shumpus and a zumpus and a lempus.", + "Max is a zumpus.", + "Max is a brimpus, a tumpus, or a zumpus.", + "Everything that is a brimpus, a tumpus, or a zumpus is a jompus.", + "Max is a jompus." + ] + }, + "in_context_example5": { + "question": "Vumpuses are yumpuses and shumpuses and zumpuses. Everything that is a shumpus, a rompus, or a lorpus is a dumpus. Zumpuses are rompuses. Each vumpus is a dumpus. Every yumpus is a sterpus. Fae is a tumpus. Fae is a vumpus.", + "query": "Prove: Fae is an impus or a jompus or a shumpus.", + "chain_of_thought": [ + "Fae is a vumpus.", + "Vumpuses are yumpuses and shumpuses and zumpuses.", + "Fae is a yumpus, a shumpus, and a zumpus.", + "Fae is a shumpus.", + "Fae is an impus, a jompus, or a shumpus." + ] + }, + "in_context_example6": { + "question": "Each dumpus is a zumpus. Shumpuses are lorpuses. Max is a gorpus. Every grimpus is a zumpus. Every tumpus is a brimpus. Gorpuses are rompuses. Each lempus is a jompus. Dumpuses are lempuses and rompuses and grimpuses. Max is a wumpus and a sterpus and a lorpus. Max is a tumpus and Max is a shumpus and Max is not a rompus.", + "query": "Prove: Max is not a dumpus.", + "chain_of_thought": [ + "Max is a tumpus, Max is a shumpus, and Max is not a rompus.", + "Max is not a rompus.\n\n", + "Assume Max is a dumpus.", + "Dumpuses are lempuses and rompuses and grimpuses.", + "Max is a lempus, a rompus, and a grimpus.", + "Max is a rompus.", + "This contradicts with Max is not a rompus.", + "Max is not a dumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Every vumpus is an impus. Fae is a yumpus. Fae is a jompus. Fae is a sterpus. Every tumpus is a grimpus. Everything that is a jompus, a yumpus, and a sterpus is a wumpus. Everything that is a yumpus, a gorpus, and a shumpus is a sterpus. Everything that is a yumpus and a gorpus and a shumpus is a vumpus and a rompus and a tumpus. Fae is a yumpus. Fae is a wumpus. Fae is a gorpus. Fae is a shumpus.", + "query": "Prove: Fae is a rompus.", + "chain_of_thought": [ + "Fae is a shumpus.", + "Fae is a gorpus.", + "Fae is a yumpus.", + "Fae is a yumpus and a gorpus and a shumpus.", + "Everything that is a yumpus and a gorpus and a shumpus is a vumpus and a rompus and a tumpus.", + "Fae is a vumpus, a rompus, and a tumpus.", + "Fae is a rompus." + ] + }, + "test_example": { + "question": "Max is a grimpus. Max is a zumpus. Everything that is a grimpus, a tumpus, and a lorpus is a lempus. Everything that is a grimpus, a brimpus, and a zumpus is a vumpus. Shumpuses are numpuses. Max is a brimpus. Everything that is a grimpus, a tumpus, and a lorpus is a rompus, a wumpus, and a shumpus. Rompuses are dumpuses. Max is a grimpus. Max is a tumpus. Max is a numpus. Max is a lorpus.", + "query": "Prove: Max is a wumpus.", + "chain_of_thought": [ + "Max is a lorpus.", + "Max is a tumpus.", + "Max is a grimpus.", + "Max is a grimpus and a tumpus and a lorpus.", + "Everything that is a grimpus, a tumpus, and a lorpus is a rompus, a wumpus, and a shumpus.", + "Max is a rompus, a wumpus, and a shumpus.", + "Max is a wumpus." + ] + } + }, + "example19": { + "in_context_example0": { + "question": "Shumpuses are yumpuses. Everything that is a vumpus, a wumpus, and a jompus is a dumpus. Each numpus is a zumpus. Sam is a brimpus. Everything that is a yumpus and a vumpus and an impus is a dumpus. Grimpuses are brimpuses. Brimpuses are lorpuses. Sam is an impus. Sam is a vumpus. Everything that is a vumpus, a wumpus, and a jompus is not a lorpus. Sam is a yumpus. Each grimpus is a lorpus and a shumpus and a numpus. Sam is a vumpus. Sam is a sterpus. Sam is a wumpus. Sam is a jompus.", + "query": "Prove: Sam is not a grimpus.", + "chain_of_thought": [ + "Sam is a jompus.", + "Sam is a wumpus.", + "Sam is a vumpus.", + "Sam is a vumpus, a wumpus, and a jompus.", + "Everything that is a vumpus, a wumpus, and a jompus is not a lorpus.", + "Sam is not a lorpus.\n\n", + "Assume Sam is a grimpus.", + "Each grimpus is a lorpus and a shumpus and a numpus.", + "Sam is a lorpus, a shumpus, and a numpus.", + "Sam is a lorpus.", + "This contradicts with Sam is not a lorpus.", + "Sam is not a grimpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Each yumpus is a gorpus. Alex is a vumpus. Lempuses are brimpuses and yumpuses and impuses. Each brimpus is a dumpus. Rompuses are not impuses. Vumpuses are impuses. Each sterpus is a lorpus. Every lempus is a grimpus. Rompuses are dumpuses. Zumpuses are grimpuses. Alex is a dumpus, a gorpus, and a tumpus. Alex is a zumpus, a rompus, and a sterpus.", + "query": "Prove: Alex is not a lempus.", + "chain_of_thought": [ + "Alex is a zumpus, a rompus, and a sterpus.", + "Alex is a rompus.", + "Rompuses are not impuses.", + "Alex is not an impus.\n\n", + "Assume Alex is a lempus.", + "Lempuses are brimpuses and yumpuses and impuses.", + "Alex is a brimpus and a yumpus and an impus.", + "Alex is an impus.", + "This contradicts with Alex is not an impus.", + "Alex is not a lempus.\n\n" + ] + }, + "in_context_example2": { + "question": "Wumpuses are rompuses. Everything that is a gorpus or a shumpus or a jompus is a vumpus. Everything that is a tumpus, a yumpus, or a gorpus is a wumpus. Every numpus is an impus. Everything that is a tumpus, a yumpus, or a gorpus is a jompus. Sam is a sterpus and a grimpus and a vumpus. Sam is a numpus and a wumpus and a gorpus.", + "query": "Prove: Sam is a wumpus.", + "chain_of_thought": [ + "Sam is a numpus and a wumpus and a gorpus.", + "Sam is a gorpus.", + "Sam is a tumpus, a yumpus, or a gorpus.", + "Everything that is a tumpus, a yumpus, or a gorpus is a wumpus.", + "Sam is a wumpus." + ] + }, + "in_context_example3": { + "question": "Sally is a jompus. Every numpus is a shumpus. Everything that is a grimpus, a jompus, and an impus is a lempus. Sally is a grimpus. Each brimpus is a lorpus. Sally is an impus. Everything that is a grimpus and a rompus and a wumpus is a dumpus. Everything that is a grimpus and a rompus and a wumpus is a numpus, a brimpus, and a gorpus. Sally is a grimpus. Sally is a rompus. Sally is a lempus. Sally is a wumpus.", + "query": "Prove: Sally is a gorpus.", + "chain_of_thought": [ + "Sally is a wumpus.", + "Sally is a rompus.", + "Sally is a grimpus.", + "Sally is a grimpus and a rompus and a wumpus.", + "Everything that is a grimpus and a rompus and a wumpus is a numpus, a brimpus, and a gorpus.", + "Sally is a numpus, a brimpus, and a gorpus.", + "Sally is a gorpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a gorpus, a dumpus, or a numpus is a yumpus and a rompus and a zumpus. Yumpuses are vumpuses. Everything that is a wumpus, a numpus, or a jompus is a grimpus. Each rompus is a grimpus. Everything that is a gorpus, a dumpus, or a numpus is a grimpus. Sally is a tumpus. Sally is a numpus.", + "query": "Prove: Sally is a zumpus.", + "chain_of_thought": [ + "Sally is a numpus.", + "Sally is a gorpus or a dumpus or a numpus.", + "Everything that is a gorpus, a dumpus, or a numpus is a yumpus and a rompus and a zumpus.", + "Sally is a yumpus and a rompus and a zumpus.", + "Sally is a zumpus." + ] + }, + "in_context_example5": { + "question": "Stella is a zumpus. Stella is an impus. Each grimpus is a jompus. Stella is a wumpus. Each numpus is a lorpus. Everything that is a zumpus and a vumpus and a sterpus is not a jompus. Stella is a grimpus. Tumpuses are rompuses, jompuses, and numpuses. Each tumpus is a wumpus. Rompuses are wumpuses. Everything that is a wumpus, a zumpus, and an impus is a brimpus. Everything that is a zumpus, a vumpus, and a sterpus is a grimpus. Stella is a zumpus. Stella is a wumpus. Stella is a vumpus. Stella is a sterpus.", + "query": "Prove: Stella is not a tumpus.", + "chain_of_thought": [ + "Stella is a sterpus.", + "Stella is a vumpus.", + "Stella is a zumpus.", + "Stella is a zumpus and a vumpus and a sterpus.", + "Everything that is a zumpus and a vumpus and a sterpus is not a jompus.", + "Stella is not a jompus.\n\n", + "Assume Stella is a tumpus.", + "Tumpuses are rompuses, jompuses, and numpuses.", + "Stella is a rompus, a jompus, and a numpus.", + "Stella is a jompus.", + "This contradicts with Stella is not a jompus.", + "Stella is not a tumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Everything that is a zumpus, a shumpus, or a brimpus is a sterpus. Everything that is a vumpus or a grimpus or a shumpus is a tumpus, an impus, and a gorpus. Everything that is a vumpus, a grimpus, or a shumpus is a brimpus. Gorpuses are lempuses. Each impus is a brimpus. Polly is a lempus. Polly is a shumpus.", + "query": "Prove: Polly is a tumpus.", + "chain_of_thought": [ + "Polly is a shumpus.", + "Polly is a vumpus, a grimpus, or a shumpus.", + "Everything that is a vumpus or a grimpus or a shumpus is a tumpus, an impus, and a gorpus.", + "Polly is a tumpus, an impus, and a gorpus.", + "Polly is a tumpus." + ] + }, + "in_context_example7": { + "question": "Wren is a jompus. Each brimpus is a gorpus. Zumpuses are dumpuses. Wren is a brimpus. Everything that is a jompus and a lorpus and a numpus is a rompus. Everything that is a jompus and a grimpus and a yumpus is an impus. Everything that is a jompus, a lorpus, and a numpus is a gorpus. Wren is a yumpus. Every lorpus is an impus. Wren is a grimpus. Wren is a zumpus and Wren is not a gorpus and Wren is a lorpus. Wren is a jompus. Wren is a grimpus and an impus and a tumpus. Wren is a lorpus.", + "query": "Prove: Wren is not a numpus.", + "chain_of_thought": [ + "Wren is a zumpus, Wren is not a gorpus, and Wren is a lorpus.", + "Wren is not a gorpus.\n\n", + "Assume Wren is a numpus.", + "Wren is a lorpus.", + "Wren is a jompus.", + "Wren is a jompus and a lorpus and a numpus.", + "Everything that is a jompus, a lorpus, and a numpus is a gorpus.", + "Wren is a gorpus.", + "This contradicts with Wren is not a gorpus.", + "Wren is not a numpus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a lempus or a brimpus or a gorpus is an impus, a rompus, and a tumpus. Each rompus is a yumpus. Everything that is a lempus or a lorpus or a shumpus is a vumpus. Every impus is a sterpus. Everything that is a lempus or a brimpus or a gorpus is a dumpus. Alex is a yumpus. Alex is a lempus.", + "query": "Prove: Alex is a tumpus.", + "chain_of_thought": [ + "Alex is a lempus.", + "Alex is a lempus, a brimpus, or a gorpus.", + "Everything that is a lempus or a brimpus or a gorpus is an impus, a rompus, and a tumpus.", + "Alex is an impus, a rompus, and a tumpus.", + "Alex is a tumpus." + ] + } + }, + "example20": { + "in_context_example0": { + "question": "Rex is a shumpus. Rex is a vumpus. Each gorpus is a sterpus. Everything that is a brimpus, a lempus, and an impus is a gorpus and a zumpus and a dumpus. Every dumpus is a vumpus. Everything that is a brimpus, a lempus, and an impus is a grimpus. Rex is a brimpus. Everything that is a brimpus, a vumpus, and a shumpus is a lorpus. Rex is a tumpus. Rex is a brimpus. Rex is a lempus. Rex is an impus.", + "query": "Prove: Rex is a zumpus.", + "chain_of_thought": [ + "Rex is an impus.", + "Rex is a lempus.", + "Rex is a brimpus.", + "Rex is a brimpus and a lempus and an impus.", + "Everything that is a brimpus, a lempus, and an impus is a gorpus and a zumpus and a dumpus.", + "Rex is a gorpus, a zumpus, and a dumpus.", + "Rex is a zumpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a rompus, a tumpus, or a brimpus is a zumpus. Each sterpus is a rompus. Sterpuses are tumpuses. Numpuses are yumpuses. Jompuses are lorpuses. Fae is a shumpus, a lempus, and a vumpus. Fae is a jompus and a sterpus and a numpus.", + "query": "Prove: Fae is a dumpus or an impus or a rompus.", + "chain_of_thought": [ + "Fae is a jompus and a sterpus and a numpus.", + "Fae is a sterpus.", + "Each sterpus is a rompus.", + "Fae is a rompus.", + "Fae is a dumpus or an impus or a rompus." + ] + }, + "in_context_example2": { + "question": "Every gorpus is a vumpus. Fae is a zumpus. Fae is a vumpus. Fae is a lorpus. Everything that is a lorpus, a sterpus, and a grimpus is a wumpus. Everything that is a vumpus and a lorpus and a zumpus is a wumpus. Each jompus is an impus. Everything that is a lorpus and a sterpus and a grimpus is a gorpus and a jompus and a tumpus. Fae is a lorpus. Fae is a dumpus. Fae is a sterpus. Fae is a grimpus.", + "query": "Prove: Fae is a tumpus.", + "chain_of_thought": [ + "Fae is a grimpus.", + "Fae is a sterpus.", + "Fae is a lorpus.", + "Fae is a lorpus and a sterpus and a grimpus.", + "Everything that is a lorpus and a sterpus and a grimpus is a gorpus and a jompus and a tumpus.", + "Fae is a gorpus, a jompus, and a tumpus.", + "Fae is a tumpus." + ] + }, + "in_context_example3": { + "question": "Lempuses are rompuses, impuses, and sterpuses. Every lempus is a wumpus. Everything that is a zumpus or a rompus or a lorpus is a vumpus. Every impus is a shumpus. Every sterpus is a numpus. Polly is a lorpus. Polly is a lempus.", + "query": "Prove: Polly is a rompus, a dumpus, or a tumpus.", + "chain_of_thought": [ + "Polly is a lempus.", + "Lempuses are rompuses, impuses, and sterpuses.", + "Polly is a rompus, an impus, and a sterpus.", + "Polly is a rompus.", + "Polly is a rompus, a dumpus, or a tumpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a shumpus, a sterpus, and a tumpus is a rompus. Every jompus is a rompus. Fae is a shumpus. Everything that is a shumpus, a lorpus, and an impus is a grimpus. Everything that is a shumpus and a sterpus and a tumpus is a jompus and a numpus and a lempus. Fae is a lorpus. Numpuses are brimpuses. Fae is an impus. Fae is a shumpus. Fae is a sterpus. Fae is a vumpus. Fae is a tumpus.", + "query": "Prove: Fae is a lempus.", + "chain_of_thought": [ + "Fae is a tumpus.", + "Fae is a sterpus.", + "Fae is a shumpus.", + "Fae is a shumpus and a sterpus and a tumpus.", + "Everything that is a shumpus and a sterpus and a tumpus is a jompus and a numpus and a lempus.", + "Fae is a jompus and a numpus and a lempus.", + "Fae is a lempus." + ] + }, + "in_context_example5": { + "question": "Fae is a shumpus. Everything that is a shumpus, a jompus, and a zumpus is a yumpus. Everything that is a shumpus, a rompus, and a wumpus is a numpus. Fae is a wumpus. Every lorpus is a vumpus. Everything that is a shumpus and a jompus and a zumpus is a gorpus and a brimpus and a lorpus. Fae is a rompus. Every gorpus is an impus. Fae is a shumpus. Fae is a jompus. Fae is a tumpus. Fae is a zumpus.", + "query": "Prove: Fae is a brimpus.", + "chain_of_thought": [ + "Fae is a zumpus.", + "Fae is a jompus.", + "Fae is a shumpus.", + "Fae is a shumpus, a jompus, and a zumpus.", + "Everything that is a shumpus and a jompus and a zumpus is a gorpus and a brimpus and a lorpus.", + "Fae is a gorpus, a brimpus, and a lorpus.", + "Fae is a brimpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a rompus, an impus, and a brimpus is a gorpus. Everything that is a rompus and an impus and a brimpus is a zumpus. Max is a lempus. Lempuses are gorpuses. Everything that is a shumpus, a rompus, and a lempus is a dumpus. Every grimpus is a numpus. Every jompus is a vumpus. Max is a shumpus. Max is a rompus. Max is not a gorpus and Max is a jompus and Max is a grimpus. Max is an impus. Max is a numpus, a wumpus, and a sterpus. Max is a brimpus.", + "query": "Prove: Max is not a rompus.", + "chain_of_thought": [ + "Max is not a gorpus and Max is a jompus and Max is a grimpus.", + "Max is not a gorpus.", + "Max is a brimpus.", + "Max is an impus.\n\n", + "Assume Max is a rompus.", + "Max is a rompus, an impus, and a brimpus.", + "Everything that is a rompus, an impus, and a brimpus is a gorpus.", + "Max is a gorpus.", + "This contradicts with Max is not a gorpus.", + "Max is not a rompus.\n\n" + ] + }, + "in_context_example7": { + "question": "Wren is a wumpus. Every numpus is a yumpus. Wren is a dumpus. Everything that is a lorpus, a vumpus, and an impus is a yumpus. Everything that is a lorpus and a vumpus and an impus is a numpus, a rompus, and a jompus. Wren is a lorpus. Every jompus is a brimpus. Everything that is a wumpus, a lorpus, and a dumpus is a lempus. Wren is a lorpus. Wren is a sterpus. Wren is a vumpus. Wren is an impus.", + "query": "Prove: Wren is a rompus.", + "chain_of_thought": [ + "Wren is an impus.", + "Wren is a vumpus.", + "Wren is a lorpus.", + "Wren is a lorpus, a vumpus, and an impus.", + "Everything that is a lorpus and a vumpus and an impus is a numpus, a rompus, and a jompus.", + "Wren is a numpus and a rompus and a jompus.", + "Wren is a rompus." + ] + }, + "test_example": { + "question": "Every wumpus is a lempus. Impuses are wumpuses, shumpuses, and numpuses. Each impus is a lorpus. Everything that is a numpus, a brimpus, or a dumpus is a yumpus. Shumpuses are yumpuses. Max is a grimpus. Max is an impus.", + "query": "Prove: Max is a numpus, a vumpus, or a sterpus.", + "chain_of_thought": [ + "Max is an impus.", + "Impuses are wumpuses, shumpuses, and numpuses.", + "Max is a wumpus and a shumpus and a numpus.", + "Max is a numpus.", + "Max is a numpus, a vumpus, or a sterpus." + ] + } + }, + "example21": { + "in_context_example0": { + "question": "Everything that is a tumpus and a lorpus and a vumpus is a numpus. Every sterpus is a rompus. Wren is a shumpus. Everything that is a tumpus and a lorpus and a vumpus is a dumpus and a yumpus and a sterpus. Yumpuses are wumpuses. Wren is a tumpus. Wren is a brimpus. Everything that is a brimpus and a tumpus and a shumpus is a lempus. Wren is a brimpus. Wren is a tumpus. Wren is a lorpus. Wren is a vumpus.", + "query": "Prove: Wren is a dumpus.", + "chain_of_thought": [ + "Wren is a vumpus.", + "Wren is a lorpus.", + "Wren is a tumpus.", + "Wren is a tumpus and a lorpus and a vumpus.", + "Everything that is a tumpus and a lorpus and a vumpus is a dumpus and a yumpus and a sterpus.", + "Wren is a dumpus and a yumpus and a sterpus.", + "Wren is a dumpus." + ] + }, + "in_context_example1": { + "question": "Every vumpus is a lempus. Gorpuses are sterpuses. Stella is a vumpus. Numpuses are lempuses, gorpuses, and grimpuses. Shumpuses are lorpuses. Zumpuses are sterpuses. Numpuses are vumpuses. Grimpuses are jompuses. Stella is an impus and a yumpus and a lorpus. Stella is a zumpus, Stella is a shumpus, and Stella is not a lempus.", + "query": "Prove: Stella is not a numpus.", + "chain_of_thought": [ + "Stella is a zumpus, Stella is a shumpus, and Stella is not a lempus.", + "Stella is not a lempus.\n\n", + "Assume Stella is a numpus.", + "Numpuses are lempuses, gorpuses, and grimpuses.", + "Stella is a lempus and a gorpus and a grimpus.", + "Stella is a lempus.", + "This contradicts with Stella is not a lempus.", + "Stella is not a numpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a lorpus, a tumpus, and a jompus is a sterpus and a shumpus and a vumpus. Polly is a grimpus. Polly is a lorpus. Each shumpus is a yumpus. Everything that is a lorpus, a brimpus, and a grimpus is a dumpus. Sterpuses are zumpuses. Everything that is a lorpus, a tumpus, and a jompus is a wumpus. Polly is a brimpus. Polly is a gorpus. Polly is a lorpus. Polly is a tumpus. Polly is a jompus.", + "query": "Prove: Polly is a vumpus.", + "chain_of_thought": [ + "Polly is a jompus.", + "Polly is a tumpus.", + "Polly is a lorpus.", + "Polly is a lorpus and a tumpus and a jompus.", + "Everything that is a lorpus, a tumpus, and a jompus is a sterpus and a shumpus and a vumpus.", + "Polly is a sterpus, a shumpus, and a vumpus.", + "Polly is a vumpus." + ] + }, + "in_context_example3": { + "question": "Rex is a zumpus. Everything that is a shumpus and a grimpus and a sterpus is a lempus. Everything that is a shumpus, a grimpus, and a sterpus is a gorpus and a dumpus and a vumpus. Each vumpus is a yumpus. Rex is a shumpus. Everything that is a shumpus, a zumpus, and a yumpus is a brimpus. Gorpuses are numpuses. Rex is a yumpus. Rex is a shumpus. Rex is a grimpus. Rex is a zumpus. Rex is a sterpus.", + "query": "Prove: Rex is a dumpus.", + "chain_of_thought": [ + "Rex is a sterpus.", + "Rex is a grimpus.", + "Rex is a shumpus.", + "Rex is a shumpus and a grimpus and a sterpus.", + "Everything that is a shumpus, a grimpus, and a sterpus is a gorpus and a dumpus and a vumpus.", + "Rex is a gorpus, a dumpus, and a vumpus.", + "Rex is a dumpus." + ] + }, + "in_context_example4": { + "question": "Numpuses are sterpuses. Dumpuses are vumpuses. Vumpuses are jompuses. Lempuses are shumpuses. Each impus is a yumpus. Each vumpus is a shumpus. Dumpuses are brimpuses. Numpuses are not shumpuses. Each lorpus is a wumpus. Rex is a lempus. Rex is a sterpus, a yumpus, and a tumpus. Rex is an impus and a lorpus and a numpus.", + "query": "Prove: Rex is not a dumpus.", + "chain_of_thought": [ + "Rex is an impus, a lorpus, and a numpus.", + "Rex is a numpus.", + "Numpuses are not shumpuses.", + "Rex is not a shumpus.\n\n", + "Assume Rex is a dumpus.", + "Dumpuses are vumpuses.", + "Rex is a vumpus.", + "Each vumpus is a shumpus.", + "Rex is a shumpus.", + "This contradicts with Rex is not a shumpus.", + "Rex is not a dumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Sally is a tumpus. Sally is a rompus. Sally is a gorpus. Every impus is a lempus. Each lorpus is a shumpus. Everything that is a tumpus and a dumpus and a jompus is a brimpus. Everything that is a tumpus and a dumpus and a jompus is an impus, a numpus, and a lorpus. Everything that is a rompus and a tumpus and a gorpus is a shumpus. Sally is a tumpus. Sally is a dumpus. Sally is a lempus. Sally is a jompus.", + "query": "Prove: Sally is a numpus.", + "chain_of_thought": [ + "Sally is a jompus.", + "Sally is a dumpus.", + "Sally is a tumpus.", + "Sally is a tumpus, a dumpus, and a jompus.", + "Everything that is a tumpus and a dumpus and a jompus is an impus, a numpus, and a lorpus.", + "Sally is an impus, a numpus, and a lorpus.", + "Sally is a numpus." + ] + }, + "in_context_example6": { + "question": "Stella is a sterpus. Everything that is a wumpus or a gorpus or a numpus is a vumpus. Stella is a wumpus. Stella is a jompus. Everything that is a gorpus or a lorpus or a brimpus is a tumpus. Everything that is a sterpus and a dumpus and a grimpus is not a tumpus. Everything that is a gorpus or a lorpus or a brimpus is a rompus. Everything that is a sterpus and a dumpus and a grimpus is a jompus. Everything that is a wumpus and a sterpus and a shumpus is a vumpus. Every jompus is a tumpus. Stella is a shumpus. Stella is a sterpus. Stella is a dumpus. Stella is a wumpus. Stella is a grimpus.", + "query": "Prove: Stella is not a gorpus.", + "chain_of_thought": [ + "Stella is a grimpus.", + "Stella is a dumpus.", + "Stella is a sterpus.", + "Stella is a sterpus, a dumpus, and a grimpus.", + "Everything that is a sterpus and a dumpus and a grimpus is not a tumpus.", + "Stella is not a tumpus.\n\n", + "Assume Stella is a gorpus.", + "Stella is a gorpus or a lorpus or a brimpus.", + "Everything that is a gorpus or a lorpus or a brimpus is a tumpus.", + "Stella is a tumpus.", + "This contradicts with Stella is not a tumpus.", + "Stella is not a gorpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Sally is a numpus. Everything that is a numpus, a yumpus, and a vumpus is a lempus and a zumpus and an impus. Sally is a jompus. Everything that is a numpus and a jompus and a brimpus is a dumpus. Every impus is a gorpus. Sally is a brimpus. Everything that is a numpus, a yumpus, and a vumpus is a shumpus. Lempuses are lorpuses. Sally is a wumpus. Sally is a numpus. Sally is a yumpus. Sally is a vumpus.", + "query": "Prove: Sally is a zumpus.", + "chain_of_thought": [ + "Sally is a vumpus.", + "Sally is a yumpus.", + "Sally is a numpus.", + "Sally is a numpus, a yumpus, and a vumpus.", + "Everything that is a numpus, a yumpus, and a vumpus is a lempus and a zumpus and an impus.", + "Sally is a lempus, a zumpus, and an impus.", + "Sally is a zumpus." + ] + }, + "test_example": { + "question": "Every yumpus is a sterpus. Every grimpus is a zumpus. Each yumpus is a tumpus. Dumpuses are numpuses. Everything that is a tumpus, a lempus, or a lorpus is a gorpus. Polly is a rompus and a lorpus and a zumpus. Polly is a yumpus and a grimpus and a dumpus.", + "query": "Prove: Polly is a tumpus or an impus or a dumpus.", + "chain_of_thought": [ + "Polly is a yumpus and a grimpus and a dumpus.", + "Polly is a yumpus.", + "Each yumpus is a tumpus.", + "Polly is a tumpus.", + "Polly is a tumpus or an impus or a dumpus." + ] + } + }, + "example22": { + "in_context_example0": { + "question": "Each vumpus is a shumpus. Everything that is a numpus or a sterpus or a lempus is a zumpus. Every vumpus is an impus, a gorpus, and a grimpus. Max is a tumpus. Each gorpus is a tumpus. Each tumpus is a grimpus. Each impus is a zumpus. Everything that is a rompus or a numpus or a dumpus is a tumpus. Everything that is a numpus, a sterpus, or a lempus is not a grimpus. Max is a dumpus. Max is a numpus.", + "query": "Prove: Max is not a vumpus.", + "chain_of_thought": [ + "Max is a numpus.", + "Max is a numpus or a sterpus or a lempus.", + "Everything that is a numpus, a sterpus, or a lempus is not a grimpus.", + "Max is not a grimpus.\n\n", + "Assume Max is a vumpus.", + "Every vumpus is an impus, a gorpus, and a grimpus.", + "Max is an impus and a gorpus and a grimpus.", + "Max is a grimpus.", + "This contradicts with Max is not a grimpus.", + "Max is not a vumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Each lorpus is a rompus and a wumpus and a numpus. Everything that is a rompus or a tumpus or an impus is a brimpus. Lorpuses are tumpuses. Wumpuses are grimpuses. Numpuses are tumpuses. Wren is a grimpus. Wren is a lorpus.", + "query": "Prove: Wren is a rompus or a shumpus or a vumpus.", + "chain_of_thought": [ + "Wren is a lorpus.", + "Each lorpus is a rompus and a wumpus and a numpus.", + "Wren is a rompus and a wumpus and a numpus.", + "Wren is a rompus.", + "Wren is a rompus, a shumpus, or a vumpus." + ] + }, + "in_context_example2": { + "question": "Gorpuses are tumpuses. Rex is a dumpus. Every lempus is a wumpus. Jompuses are shumpuses. Dumpuses are lorpuses. Each numpus is a grimpus. Yumpuses are vumpuses. Each yumpus is a numpus and a lempus and a lorpus. Rex is a tumpus, a dumpus, and a rompus. Rex is a gorpus and Rex is a jompus and Rex is not a lorpus.", + "query": "Prove: Rex is not a yumpus.", + "chain_of_thought": [ + "Rex is a gorpus, Rex is a jompus, and Rex is not a lorpus.", + "Rex is not a lorpus.\n\n", + "Assume Rex is a yumpus.", + "Each yumpus is a numpus and a lempus and a lorpus.", + "Rex is a numpus and a lempus and a lorpus.", + "Rex is a lorpus.", + "This contradicts with Rex is not a lorpus.", + "Rex is not a yumpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Each shumpus is a lempus. Each shumpus is a tumpus. Every brimpus is a jompus. Impuses are sterpuses. Gorpuses are wumpuses. Each rompus is a shumpus. Fae is a yumpus. Rompuses are yumpuses. Every yumpus is a tumpus. Brimpuses are not tumpuses. Fae is a vumpus and a numpus and a sterpus. Fae is a gorpus and an impus and a brimpus.", + "query": "Prove: Fae is not a rompus.", + "chain_of_thought": [ + "Fae is a gorpus and an impus and a brimpus.", + "Fae is a brimpus.", + "Brimpuses are not tumpuses.", + "Fae is not a tumpus.\n\n", + "Assume Fae is a rompus.", + "Each rompus is a shumpus.", + "Fae is a shumpus.", + "Each shumpus is a tumpus.", + "Fae is a tumpus.", + "This contradicts with Fae is not a tumpus.", + "Fae is not a rompus.\n\n" + ] + }, + "in_context_example4": { + "question": "Every vumpus is a rompus. Every sterpus is a jompus. Everything that is a brimpus or a wumpus or a zumpus is a lempus, a vumpus, and a sterpus. Everything that is a brimpus or a grimpus or a yumpus is a rompus. Everything that is a brimpus or a wumpus or a zumpus is a rompus. Sam is a tumpus. Sam is a brimpus.", + "query": "Prove: Sam is a lempus.", + "chain_of_thought": [ + "Sam is a brimpus.", + "Sam is a brimpus or a wumpus or a zumpus.", + "Everything that is a brimpus or a wumpus or a zumpus is a lempus, a vumpus, and a sterpus.", + "Sam is a lempus, a vumpus, and a sterpus.", + "Sam is a lempus." + ] + }, + "in_context_example5": { + "question": "Everything that is a lorpus or a vumpus or a shumpus is a wumpus. Everything that is a lempus or a dumpus or a vumpus is an impus. Each rompus is a jompus. Every sterpus is a lorpus. Everything that is a lempus, a dumpus, or a vumpus is a rompus and a zumpus and a sterpus. Stella is an impus. Stella is a vumpus.", + "query": "Prove: Stella is a zumpus.", + "chain_of_thought": [ + "Stella is a vumpus.", + "Stella is a lempus or a dumpus or a vumpus.", + "Everything that is a lempus, a dumpus, or a vumpus is a rompus and a zumpus and a sterpus.", + "Stella is a rompus, a zumpus, and a sterpus.", + "Stella is a zumpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a wumpus or a vumpus or a dumpus is a yumpus. Sally is a lempus. Sally is a rompus. Everything that is a rompus, a lempus, and a gorpus is a grimpus. Sally is a gorpus. Everything that is a lempus, a numpus, and an impus is a gorpus. Everything that is a wumpus or a vumpus or a dumpus is a sterpus. Rompuses are sterpuses. Everything that is a lempus and a numpus and an impus is not a sterpus. Everything that is a zumpus or a vumpus or a jompus is a gorpus. Sally is a shumpus. Sally is a lempus. Sally is a numpus. Sally is an impus.", + "query": "Prove: Sally is not a vumpus.", + "chain_of_thought": [ + "Sally is an impus.", + "Sally is a numpus.", + "Sally is a lempus.", + "Sally is a lempus and a numpus and an impus.", + "Everything that is a lempus and a numpus and an impus is not a sterpus.", + "Sally is not a sterpus.\n\n", + "Assume Sally is a vumpus.", + "Sally is a wumpus, a vumpus, or a dumpus.", + "Everything that is a wumpus or a vumpus or a dumpus is a sterpus.", + "Sally is a sterpus.", + "This contradicts with Sally is not a sterpus.", + "Sally is not a vumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Sam is a rompus. Sam is a yumpus. Brimpuses are numpuses. Everything that is a rompus and a jompus and a gorpus is a brimpus, a dumpus, and a lorpus. Everything that is a wumpus, a rompus, and a yumpus is a numpus. Every lorpus is a wumpus. Everything that is a rompus, a jompus, and a gorpus is a vumpus. Sam is a wumpus. Sam is a rompus. Sam is a grimpus. Sam is a jompus. Sam is a gorpus.", + "query": "Prove: Sam is a dumpus.", + "chain_of_thought": [ + "Sam is a gorpus.", + "Sam is a jompus.", + "Sam is a rompus.", + "Sam is a rompus, a jompus, and a gorpus.", + "Everything that is a rompus and a jompus and a gorpus is a brimpus, a dumpus, and a lorpus.", + "Sam is a brimpus and a dumpus and a lorpus.", + "Sam is a dumpus." + ] + }, + "test_example": { + "question": "Grimpuses are numpuses. Each tumpus is a sterpus. Each dumpus is not an impus. Each dumpus is a gorpus. Yumpuses are gorpuses. Grimpuses are yumpuses. Stella is a numpus. Numpuses are impuses. Brimpuses are rompuses. Yumpuses are impuses. Stella is a vumpus, a gorpus, and a numpus. Stella is a brimpus, a tumpus, and a dumpus.", + "query": "Prove: Stella is not a grimpus.", + "chain_of_thought": [ + "Stella is a brimpus, a tumpus, and a dumpus.", + "Stella is a dumpus.", + "Each dumpus is not an impus.", + "Stella is not an impus.\n\n", + "Assume Stella is a grimpus.", + "Grimpuses are yumpuses.", + "Stella is a yumpus.", + "Yumpuses are impuses.", + "Stella is an impus.", + "This contradicts with Stella is not an impus.", + "Stella is not a grimpus.\n\n" + ] + } + }, + "example23": { + "in_context_example0": { + "question": "Tumpuses are jompuses. Every grimpus is a vumpus. Each impus is a gorpus. Dumpuses are lempuses. Dumpuses are brimpuses. Rompuses are sterpuses. Sally is an impus. Tumpuses are dumpuses, grimpuses, and gorpuses. Sally is a lorpus, a sterpus, and a yumpus. Sally is not a gorpus, Sally is a rompus, and Sally is a dumpus.", + "query": "Prove: Sally is not a tumpus.", + "chain_of_thought": [ + "Sally is not a gorpus, Sally is a rompus, and Sally is a dumpus.", + "Sally is not a gorpus.\n\n", + "Assume Sally is a tumpus.", + "Tumpuses are dumpuses, grimpuses, and gorpuses.", + "Sally is a dumpus, a grimpus, and a gorpus.", + "Sally is a gorpus.", + "This contradicts with Sally is not a gorpus.", + "Sally is not a tumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Everything that is an impus, a gorpus, or a rompus is a dumpus. Everything that is an impus, a gorpus, or a rompus is a lorpus. Fae is a dumpus. Each grimpus is a dumpus. Everything that is a shumpus, a gorpus, or a dumpus is a lempus. Sterpuses are shumpuses. Each dumpus is a lorpus. Fae is a tumpus and a lempus and a yumpus. Fae is not a lorpus, Fae is a grimpus, and Fae is a sterpus.", + "query": "Prove: Fae is not a gorpus.", + "chain_of_thought": [ + "Fae is not a lorpus and Fae is a grimpus and Fae is a sterpus.", + "Fae is not a lorpus.\n\n", + "Assume Fae is a gorpus.", + "Fae is an impus, a gorpus, or a rompus.", + "Everything that is an impus, a gorpus, or a rompus is a lorpus.", + "Fae is a lorpus.", + "This contradicts with Fae is not a lorpus.", + "Fae is not a gorpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Grimpuses are rompuses. Everything that is a lempus, a shumpus, and a grimpus is an impus. Everything that is a lempus, a rompus, and a lorpus is a dumpus. Gorpuses are impuses. Every vumpus is a gorpus. Polly is a lorpus. Polly is a lempus. Polly is a rompus. Polly is a gorpus. Everything that is a lempus and a shumpus and a grimpus is a jompus. Polly is a yumpus, a wumpus, and a lorpus. Polly is a grimpus, Polly is not an impus, and Polly is a vumpus. Polly is a lempus. Polly is a shumpus.", + "query": "Prove: Polly is not a grimpus.", + "chain_of_thought": [ + "Polly is a grimpus, Polly is not an impus, and Polly is a vumpus.", + "Polly is not an impus.\n\n", + "Assume Polly is a grimpus.", + "Polly is a shumpus.", + "Polly is a lempus.", + "Polly is a lempus and a shumpus and a grimpus.", + "Everything that is a lempus, a shumpus, and a grimpus is an impus.", + "Polly is an impus.", + "This contradicts with Polly is not an impus.", + "Polly is not a grimpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Sterpuses are gorpuses. Each sterpus is not an impus. Each tumpus is a numpus. Rompuses are shumpuses. Each dumpus is an impus. Brimpuses are numpuses. Rompuses are sterpuses. Each zumpus is a yumpus. Polly is a dumpus. Each brimpus is an impus, a tumpus, and a zumpus. Polly is a numpus. Polly is a rompus.", + "query": "Prove: Polly is not a brimpus.", + "chain_of_thought": [ + "Polly is a rompus.", + "Rompuses are sterpuses.", + "Polly is a sterpus.", + "Each sterpus is not an impus.", + "Polly is not an impus.\n\n", + "Assume Polly is a brimpus.", + "Each brimpus is an impus, a tumpus, and a zumpus.", + "Polly is an impus, a tumpus, and a zumpus.", + "Polly is an impus.", + "This contradicts with Polly is not an impus.", + "Polly is not a brimpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Alex is a lorpus. Every sterpus is not a yumpus. Alex is a vumpus. Jompuses are yumpuses. Everything that is a vumpus, a dumpus, and a tumpus is a yumpus. Everything that is a vumpus, a dumpus, and a tumpus is a jompus. Alex is a lempus. Each shumpus is a sterpus. Alex is a jompus. Everything that is a lorpus and a vumpus and a lempus is a jompus. Shumpuses are numpuses. Every sterpus is a gorpus. Alex is an impus. Alex is a shumpus. Alex is a dumpus. Alex is a tumpus.", + "query": "Prove: Alex is not a vumpus.", + "chain_of_thought": [ + "Alex is a shumpus.", + "Each shumpus is a sterpus.", + "Alex is a sterpus.", + "Every sterpus is not a yumpus.", + "Alex is not a yumpus.", + "Alex is a tumpus.", + "Alex is a dumpus.\n\n", + "Assume Alex is a vumpus.", + "Alex is a vumpus and a dumpus and a tumpus.", + "Everything that is a vumpus, a dumpus, and a tumpus is a yumpus.", + "Alex is a yumpus.", + "This contradicts with Alex is not a yumpus.", + "Alex is not a vumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Every gorpus is a lempus. Everything that is a yumpus, a rompus, or a tumpus is a lempus. Everything that is a rompus, a zumpus, or a shumpus is a jompus. Every sterpus is a shumpus. Polly is a gorpus. Each grimpus is a zumpus. Everything that is a yumpus, a rompus, or a tumpus is a shumpus. Polly is an impus and a shumpus and a numpus. Polly is a sterpus and Polly is not a lempus and Polly is a grimpus.", + "query": "Prove: Polly is not a rompus.", + "chain_of_thought": [ + "Polly is a sterpus, Polly is not a lempus, and Polly is a grimpus.", + "Polly is not a lempus.\n\n", + "Assume Polly is a rompus.", + "Polly is a yumpus or a rompus or a tumpus.", + "Everything that is a yumpus, a rompus, or a tumpus is a lempus.", + "Polly is a lempus.", + "This contradicts with Polly is not a lempus.", + "Polly is not a rompus.\n\n" + ] + }, + "in_context_example6": { + "question": "Sam is a numpus. Everything that is a jompus, a lempus, and a rompus is a yumpus and a gorpus and a vumpus. Everything that is a dumpus and a jompus and a numpus is a zumpus. Everything that is a jompus, a lempus, and a rompus is a brimpus. Sam is a jompus. Each gorpus is a dumpus. Sam is a dumpus. Every yumpus is a sterpus. Sam is a jompus. Sam is a lempus. Sam is a numpus. Sam is a rompus.", + "query": "Prove: Sam is a vumpus.", + "chain_of_thought": [ + "Sam is a rompus.", + "Sam is a lempus.", + "Sam is a jompus.", + "Sam is a jompus and a lempus and a rompus.", + "Everything that is a jompus, a lempus, and a rompus is a yumpus and a gorpus and a vumpus.", + "Sam is a yumpus, a gorpus, and a vumpus.", + "Sam is a vumpus." + ] + }, + "in_context_example7": { + "question": "Every dumpus is a grimpus. Everything that is a sterpus, a rompus, or a shumpus is a tumpus. Each lempus is a numpus. Each dumpus is a lempus and a jompus and a rompus. Jompuses are wumpuses. Sam is a sterpus. Sam is a dumpus.", + "query": "Prove: Sam is a lorpus, a rompus, or a zumpus.", + "chain_of_thought": [ + "Sam is a dumpus.", + "Each dumpus is a lempus and a jompus and a rompus.", + "Sam is a lempus, a jompus, and a rompus.", + "Sam is a rompus.", + "Sam is a lorpus or a rompus or a zumpus." + ] + }, + "test_example": { + "question": "Every tumpus is a gorpus and a sterpus and a yumpus. Every gorpus is a grimpus. Each tumpus is a shumpus. Everything that is a rompus or a yumpus or a grimpus is an impus. Sterpuses are zumpuses. Wren is a brimpus. Wren is a tumpus.", + "query": "Prove: Wren is a wumpus or a yumpus or a lorpus.", + "chain_of_thought": [ + "Wren is a tumpus.", + "Every tumpus is a gorpus and a sterpus and a yumpus.", + "Wren is a gorpus and a sterpus and a yumpus.", + "Wren is a yumpus.", + "Wren is a wumpus or a yumpus or a lorpus." + ] + } + }, + "example24": { + "in_context_example0": { + "question": "Everything that is a jompus and a sterpus and a vumpus is a numpus, a dumpus, and a rompus. Wren is a jompus. Wren is a zumpus. Everything that is a zumpus, a jompus, and a wumpus is a lorpus. Every numpus is a yumpus. Dumpuses are lempuses. Wren is a wumpus. Everything that is a jompus, a sterpus, and a vumpus is a lorpus. Wren is a jompus. Wren is a brimpus. Wren is a sterpus. Wren is a vumpus.", + "query": "Prove: Wren is a rompus.", + "chain_of_thought": [ + "Wren is a vumpus.", + "Wren is a sterpus.", + "Wren is a jompus.", + "Wren is a jompus, a sterpus, and a vumpus.", + "Everything that is a jompus and a sterpus and a vumpus is a numpus, a dumpus, and a rompus.", + "Wren is a numpus and a dumpus and a rompus.", + "Wren is a rompus." + ] + }, + "in_context_example1": { + "question": "Each sterpus is a brimpus. Every zumpus is a lorpus. Each sterpus is a zumpus, a grimpus, and a lempus. Everything that is a tumpus, a grimpus, or a brimpus is a shumpus. Lempuses are jompuses. Rex is a vumpus. Rex is a sterpus.", + "query": "Prove: Rex is a yumpus or a dumpus or a grimpus.", + "chain_of_thought": [ + "Rex is a sterpus.", + "Each sterpus is a zumpus, a grimpus, and a lempus.", + "Rex is a zumpus, a grimpus, and a lempus.", + "Rex is a grimpus.", + "Rex is a yumpus, a dumpus, or a grimpus." + ] + }, + "in_context_example2": { + "question": "Tumpuses are lempuses. Everything that is a yumpus or a sterpus or a numpus is not a lempus. Impuses are jompuses. Each rompus is a dumpus. Vumpuses are gorpuses. Polly is a tumpus. Everything that is a yumpus, a sterpus, or a numpus is a gorpus. Everything that is a numpus, a brimpus, or a zumpus is a jompus. Vumpuses are rompuses, lempuses, and impuses. Polly is a wumpus. Polly is a numpus.", + "query": "Prove: Polly is not a vumpus.", + "chain_of_thought": [ + "Polly is a numpus.", + "Polly is a yumpus or a sterpus or a numpus.", + "Everything that is a yumpus or a sterpus or a numpus is not a lempus.", + "Polly is not a lempus.\n\n", + "Assume Polly is a vumpus.", + "Vumpuses are rompuses, lempuses, and impuses.", + "Polly is a rompus and a lempus and an impus.", + "Polly is a lempus.", + "This contradicts with Polly is not a lempus.", + "Polly is not a vumpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Sam is a lorpus. Zumpuses are yumpuses, grimpuses, and numpuses. Everything that is a dumpus, an impus, and a vumpus is not a numpus. Sam is a sterpus. Each lorpus is a numpus. Grimpuses are tumpuses. Yumpuses are wumpuses. Everything that is a dumpus and an impus and a vumpus is a gorpus. Sam is a jompus. Every zumpus is a brimpus. Sam is a dumpus. Everything that is a dumpus, a jompus, and a sterpus is a lorpus. Sam is a dumpus. Sam is an impus. Sam is a tumpus. Sam is a vumpus.", + "query": "Prove: Sam is not a zumpus.", + "chain_of_thought": [ + "Sam is a vumpus.", + "Sam is an impus.", + "Sam is a dumpus.", + "Sam is a dumpus, an impus, and a vumpus.", + "Everything that is a dumpus, an impus, and a vumpus is not a numpus.", + "Sam is not a numpus.\n\n", + "Assume Sam is a zumpus.", + "Zumpuses are yumpuses, grimpuses, and numpuses.", + "Sam is a yumpus, a grimpus, and a numpus.", + "Sam is a numpus.", + "This contradicts with Sam is not a numpus.", + "Sam is not a zumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Every impus is a shumpus. Everything that is a jompus, a vumpus, or a gorpus is a brimpus. Each dumpus is a rompus. Numpuses are lempuses. Numpuses are impuses, dumpuses, and jompuses. Polly is a shumpus. Polly is a numpus.", + "query": "Prove: Polly is a sterpus, an impus, or a jompus.", + "chain_of_thought": [ + "Polly is a numpus.", + "Numpuses are impuses, dumpuses, and jompuses.", + "Polly is an impus, a dumpus, and a jompus.", + "Polly is a jompus.", + "Polly is a sterpus, an impus, or a jompus." + ] + }, + "in_context_example5": { + "question": "Sterpuses are grimpuses. Stella is a sterpus. Each wumpus is a tumpus. Dumpuses are shumpuses. Each gorpus is a brimpus. Each numpus is a yumpus. Each wumpus is a sterpus. Every dumpus is a wumpus and a numpus and a grimpus. Stella is a vumpus and a brimpus and a tumpus. Stella is not a grimpus and Stella is a gorpus and Stella is a wumpus.", + "query": "Prove: Stella is not a dumpus.", + "chain_of_thought": [ + "Stella is not a grimpus and Stella is a gorpus and Stella is a wumpus.", + "Stella is not a grimpus.\n\n", + "Assume Stella is a dumpus.", + "Every dumpus is a wumpus and a numpus and a grimpus.", + "Stella is a wumpus and a numpus and a grimpus.", + "Stella is a grimpus.", + "This contradicts with Stella is not a grimpus.", + "Stella is not a dumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Sterpuses are yumpuses. Each grimpus is a shumpus. Vumpuses are lorpuses. Everything that is a wumpus, a numpus, or a tumpus is an impus. Each vumpus is a sterpus, a numpus, and a grimpus. Rex is a tumpus. Rex is a vumpus.", + "query": "Prove: Rex is a jompus or a numpus or a grimpus.", + "chain_of_thought": [ + "Rex is a vumpus.", + "Each vumpus is a sterpus, a numpus, and a grimpus.", + "Rex is a sterpus, a numpus, and a grimpus.", + "Rex is a numpus.", + "Rex is a jompus, a numpus, or a grimpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a grimpus, a lempus, and a tumpus is a rompus and a yumpus and a sterpus. Yumpuses are dumpuses. Rex is a grimpus. Everything that is a grimpus and a lempus and a tumpus is a gorpus. Rex is a numpus. Rompuses are gorpuses. Everything that is a numpus, a grimpus, and an impus is a dumpus. Rex is an impus. Rex is a numpus. Rex is a grimpus. Rex is a lempus. Rex is a tumpus.", + "query": "Prove: Rex is a sterpus.", + "chain_of_thought": [ + "Rex is a tumpus.", + "Rex is a lempus.", + "Rex is a grimpus.", + "Rex is a grimpus, a lempus, and a tumpus.", + "Everything that is a grimpus, a lempus, and a tumpus is a rompus and a yumpus and a sterpus.", + "Rex is a rompus and a yumpus and a sterpus.", + "Rex is a sterpus." + ] + }, + "test_example": { + "question": "Each jompus is a vumpus. Every wumpus is a rompus. Each yumpus is a numpus. Sterpuses are jompuses. Stella is a jompus. Impuses are dumpuses. Impuses are vumpuses and yumpuses and wumpuses. Each grimpus is a zumpus. Stella is a dumpus, a gorpus, and a tumpus. Stella is a sterpus, Stella is a grimpus, and Stella is not a vumpus.", + "query": "Prove: Stella is not an impus.", + "chain_of_thought": [ + "Stella is a sterpus and Stella is a grimpus and Stella is not a vumpus.", + "Stella is not a vumpus.\n\n", + "Assume Stella is an impus.", + "Impuses are vumpuses and yumpuses and wumpuses.", + "Stella is a vumpus, a yumpus, and a wumpus.", + "Stella is a vumpus.", + "This contradicts with Stella is not a vumpus.", + "Stella is not an impus.\n\n" + ] + } + }, + "example25": { + "in_context_example0": { + "question": "Everything that is a sterpus or a jompus or a shumpus is a rompus. Everything that is a tumpus or a numpus or a jompus is a sterpus. Each impus is a sterpus. Everything that is a tumpus or a numpus or a jompus is a lempus and a gorpus and an impus. Lempuses are vumpuses. Max is a dumpus. Max is a jompus.", + "query": "Prove: Max is a gorpus.", + "chain_of_thought": [ + "Max is a jompus.", + "Max is a tumpus or a numpus or a jompus.", + "Everything that is a tumpus or a numpus or a jompus is a lempus and a gorpus and an impus.", + "Max is a lempus, a gorpus, and an impus.", + "Max is a gorpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a rompus or a zumpus or a yumpus is a gorpus. Each grimpus is a tumpus. Shumpuses are vumpuses. Grimpuses are brimpuses and zumpuses and shumpuses. Brimpuses are sterpuses. Fae is a yumpus. Fae is a grimpus.", + "query": "Prove: Fae is a jompus or a wumpus or a zumpus.", + "chain_of_thought": [ + "Fae is a grimpus.", + "Grimpuses are brimpuses and zumpuses and shumpuses.", + "Fae is a brimpus and a zumpus and a shumpus.", + "Fae is a zumpus.", + "Fae is a jompus, a wumpus, or a zumpus." + ] + }, + "in_context_example2": { + "question": "Every vumpus is a zumpus. Everything that is a wumpus or a zumpus or a yumpus is a jompus. Zumpuses are shumpuses. Vumpuses are yumpuses. Every gorpus is a wumpus. Alex is a rompus, a sterpus, and a yumpus. Alex is a vumpus, a zumpus, and a gorpus.", + "query": "Prove: Alex is a numpus or a zumpus or a grimpus.", + "chain_of_thought": [ + "Alex is a vumpus, a zumpus, and a gorpus.", + "Alex is a vumpus.", + "Every vumpus is a zumpus.", + "Alex is a zumpus.", + "Alex is a numpus or a zumpus or a grimpus." + ] + }, + "in_context_example3": { + "question": "Impuses are grimpuses. Everything that is a shumpus, a gorpus, or a dumpus is a lorpus. Each lempus is a gorpus. Each sterpus is a brimpus. Lempuses are sterpuses, shumpuses, and impuses. Rex is a yumpus. Rex is a lempus.", + "query": "Prove: Rex is a shumpus, a numpus, or a tumpus.", + "chain_of_thought": [ + "Rex is a lempus.", + "Lempuses are sterpuses, shumpuses, and impuses.", + "Rex is a sterpus, a shumpus, and an impus.", + "Rex is a shumpus.", + "Rex is a shumpus or a numpus or a tumpus." + ] + }, + "in_context_example4": { + "question": "Impuses are yumpuses. Sally is a wumpus. Gorpuses are brimpuses. Rompuses are grimpuses. Rompuses are not jompuses. Numpuses are shumpuses. Vumpuses are grimpuses. Each lorpus is a jompus, a gorpus, and a vumpus. Each wumpus is a jompus. Every lorpus is a grimpus. Sally is a grimpus, a sterpus, and a lempus. Sally is a rompus and an impus and a numpus.", + "query": "Prove: Sally is not a lorpus.", + "chain_of_thought": [ + "Sally is a rompus, an impus, and a numpus.", + "Sally is a rompus.", + "Rompuses are not jompuses.", + "Sally is not a jompus.\n\n", + "Assume Sally is a lorpus.", + "Each lorpus is a jompus, a gorpus, and a vumpus.", + "Sally is a jompus, a gorpus, and a vumpus.", + "Sally is a jompus.", + "This contradicts with Sally is not a jompus.", + "Sally is not a lorpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Everything that is a shumpus and a dumpus and a rompus is an impus. Everything that is a sterpus, a shumpus, and a grimpus is a lorpus. Max is a sterpus. Max is a shumpus. Max is a grimpus. Jompuses are tumpuses. Wumpuses are gorpuses. Everything that is a shumpus and a dumpus and a rompus is a jompus and a lempus and a wumpus. Max is a shumpus. Max is a dumpus. Max is a numpus. Max is a rompus.", + "query": "Prove: Max is a lempus.", + "chain_of_thought": [ + "Max is a rompus.", + "Max is a dumpus.", + "Max is a shumpus.", + "Max is a shumpus, a dumpus, and a rompus.", + "Everything that is a shumpus and a dumpus and a rompus is a jompus and a lempus and a wumpus.", + "Max is a jompus and a lempus and a wumpus.", + "Max is a lempus." + ] + }, + "in_context_example6": { + "question": "Stella is a numpus. Every zumpus is a wumpus. Stella is an impus. Everything that is a lorpus and a gorpus and a tumpus is a brimpus. Everything that is a lorpus and an impus and a numpus is a wumpus. Every yumpus is a grimpus. Stella is a lorpus. Everything that is a lorpus, a gorpus, and a tumpus is a lempus, a yumpus, and a zumpus. Stella is a lorpus. Stella is a gorpus. Stella is a sterpus. Stella is a tumpus.", + "query": "Prove: Stella is a lempus.", + "chain_of_thought": [ + "Stella is a tumpus.", + "Stella is a gorpus.", + "Stella is a lorpus.", + "Stella is a lorpus and a gorpus and a tumpus.", + "Everything that is a lorpus, a gorpus, and a tumpus is a lempus, a yumpus, and a zumpus.", + "Stella is a lempus and a yumpus and a zumpus.", + "Stella is a lempus." + ] + }, + "in_context_example7": { + "question": "Impuses are tumpuses. Vumpuses are numpuses. Gorpuses are grimpuses. Each dumpus is a rompus. Shumpuses are yumpuses. Gorpuses are numpuses and shumpuses and impuses. Stella is a vumpus. Every brimpus is a vumpus. Stella is a zumpus and a sterpus and a rompus. Stella is not a numpus, Stella is a dumpus, and Stella is a brimpus.", + "query": "Prove: Stella is not a gorpus.", + "chain_of_thought": [ + "Stella is not a numpus and Stella is a dumpus and Stella is a brimpus.", + "Stella is not a numpus.\n\n", + "Assume Stella is a gorpus.", + "Gorpuses are numpuses and shumpuses and impuses.", + "Stella is a numpus and a shumpus and an impus.", + "Stella is a numpus.", + "This contradicts with Stella is not a numpus.", + "Stella is not a gorpus.\n\n" + ] + }, + "test_example": { + "question": "Impuses are lempuses. Jompuses are lorpuses. Everything that is a grimpus or a rompus or a sterpus is a lempus. Everything that is a shumpus, a yumpus, or a grimpus is an impus, a jompus, and a vumpus. Everything that is a shumpus or a yumpus or a grimpus is a tumpus. Fae is a rompus. Fae is a grimpus.", + "query": "Prove: Fae is a vumpus.", + "chain_of_thought": [ + "Fae is a grimpus.", + "Fae is a shumpus, a yumpus, or a grimpus.", + "Everything that is a shumpus, a yumpus, or a grimpus is an impus, a jompus, and a vumpus.", + "Fae is an impus and a jompus and a vumpus.", + "Fae is a vumpus." + ] + } + }, + "example26": { + "in_context_example0": { + "question": "Every lorpus is a shumpus. Sterpuses are jompuses. Sam is a vumpus. Sterpuses are yumpuses, lorpuses, and lempuses. Lempuses are rompuses. Sam is an impus. Sam is a tumpus. Everything that is a grimpus and a vumpus and a tumpus is a shumpus. Everything that is a vumpus and a dumpus and a numpus is not a yumpus. Each impus is a yumpus. Sam is a grimpus. Everything that is a vumpus, a dumpus, and a numpus is an impus. Sam is a vumpus. Sam is a dumpus. Sam is a rompus. Sam is a numpus.", + "query": "Prove: Sam is not a sterpus.", + "chain_of_thought": [ + "Sam is a numpus.", + "Sam is a dumpus.", + "Sam is a vumpus.", + "Sam is a vumpus, a dumpus, and a numpus.", + "Everything that is a vumpus and a dumpus and a numpus is not a yumpus.", + "Sam is not a yumpus.\n\n", + "Assume Sam is a sterpus.", + "Sterpuses are yumpuses, lorpuses, and lempuses.", + "Sam is a yumpus and a lorpus and a lempus.", + "Sam is a yumpus.", + "This contradicts with Sam is not a yumpus.", + "Sam is not a sterpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Stella is a jompus. Every yumpus is a vumpus. Stella is a tumpus. Stella is a dumpus. Everything that is a dumpus, a lorpus, and a grimpus is a rompus. Everything that is a dumpus and a jompus and a tumpus is a sterpus. Everything that is a dumpus, a lorpus, and a grimpus is an impus, a lempus, and a yumpus. Lempuses are numpuses. Stella is a dumpus. Stella is a lorpus. Stella is a rompus. Stella is a grimpus.", + "query": "Prove: Stella is an impus.", + "chain_of_thought": [ + "Stella is a grimpus.", + "Stella is a lorpus.", + "Stella is a dumpus.", + "Stella is a dumpus, a lorpus, and a grimpus.", + "Everything that is a dumpus, a lorpus, and a grimpus is an impus, a lempus, and a yumpus.", + "Stella is an impus, a lempus, and a yumpus.", + "Stella is an impus." + ] + }, + "in_context_example2": { + "question": "Max is a brimpus. Everything that is a grimpus, a gorpus, and an impus is a tumpus. Everything that is a jompus, a grimpus, and a brimpus is a lorpus. Every shumpus is a vumpus. Max is a grimpus. Max is a jompus. Each sterpus is a zumpus. Everything that is a grimpus and a gorpus and an impus is not a rompus. Grimpuses are lempuses. Each lorpus is a rompus. Max is a lorpus. Sterpuses are grimpuses and rompuses and shumpuses. Max is a grimpus. Max is a dumpus. Max is a gorpus. Max is an impus.", + "query": "Prove: Max is not a sterpus.", + "chain_of_thought": [ + "Max is an impus.", + "Max is a gorpus.", + "Max is a grimpus.", + "Max is a grimpus and a gorpus and an impus.", + "Everything that is a grimpus and a gorpus and an impus is not a rompus.", + "Max is not a rompus.\n\n", + "Assume Max is a sterpus.", + "Sterpuses are grimpuses and rompuses and shumpuses.", + "Max is a grimpus and a rompus and a shumpus.", + "Max is a rompus.", + "This contradicts with Max is not a rompus.", + "Max is not a sterpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Numpuses are gorpuses and brimpuses and jompuses. Each numpus is a shumpus. Everything that is a lempus or a gorpus or a rompus is a shumpus. Brimpuses are lorpuses. Every jompus is a tumpus. Polly is a lorpus. Polly is a numpus.", + "query": "Prove: Polly is a zumpus or a gorpus or a vumpus.", + "chain_of_thought": [ + "Polly is a numpus.", + "Numpuses are gorpuses and brimpuses and jompuses.", + "Polly is a gorpus and a brimpus and a jompus.", + "Polly is a gorpus.", + "Polly is a zumpus or a gorpus or a vumpus." + ] + }, + "in_context_example4": { + "question": "Every tumpus is a vumpus. Rex is a grimpus. Everything that is a sterpus, a dumpus, or a numpus is a lorpus. Everything that is a rompus and a vumpus and a grimpus is a shumpus. Lempuses are jompuses. Tumpuses are rompuses. Rex is a rompus. Each lempus is a tumpus. Every impus is a brimpus. Rex is a vumpus. Rex is a zumpus. Rex is a lempus. Rex is a lempus, Rex is a numpus, and Rex is not a brimpus. Rex is a dumpus.", + "query": "Prove: Rex is a rompus and Rex is not an impus and Rex is a lorpus.", + "chain_of_thought": [ + "Rex is a dumpus.", + "Rex is a sterpus, a dumpus, or a numpus.", + "Everything that is a sterpus, a dumpus, or a numpus is a lorpus.", + "Rex is a lorpus.", + "Rex is a lempus and Rex is a numpus and Rex is not a brimpus.", + "Rex is not a brimpus.\n\n", + "Assume Rex is an impus.", + "Every impus is a brimpus.", + "Rex is a brimpus.", + "This contradicts with Rex is not a brimpus.", + "Rex is not an impus.\n\n", + "Rex is a lempus.", + "Each lempus is a tumpus.", + "Rex is a tumpus.", + "Tumpuses are rompuses.", + "Rex is a rompus.", + "Rex is a rompus and Rex is not an impus and Rex is a lorpus." + ] + }, + "in_context_example5": { + "question": "Yumpuses are impuses. Each grimpus is a dumpus. Everything that is a dumpus or a numpus or an impus is a tumpus. Everything that is a rompus, a lempus, or a numpus is a shumpus, a yumpus, and a grimpus. Everything that is a rompus, a lempus, or a numpus is a dumpus. Max is a vumpus. Max is a numpus.", + "query": "Prove: Max is a shumpus.", + "chain_of_thought": [ + "Max is a numpus.", + "Max is a rompus, a lempus, or a numpus.", + "Everything that is a rompus, a lempus, or a numpus is a shumpus, a yumpus, and a grimpus.", + "Max is a shumpus and a yumpus and a grimpus.", + "Max is a shumpus." + ] + }, + "in_context_example6": { + "question": "Every numpus is an impus. Each brimpus is a yumpus. Each yumpus is a jompus. Brimpuses are lempuses. Every yumpus is not a sterpus. Max is a lempus. Grimpuses are gorpuses. Grimpuses are sterpuses and numpuses and vumpuses. Vumpuses are tumpuses. Each lempus is a sterpus. Max is a shumpus. Max is a brimpus.", + "query": "Prove: Max is not a grimpus.", + "chain_of_thought": [ + "Max is a brimpus.", + "Each brimpus is a yumpus.", + "Max is a yumpus.", + "Every yumpus is not a sterpus.", + "Max is not a sterpus.\n\n", + "Assume Max is a grimpus.", + "Grimpuses are sterpuses and numpuses and vumpuses.", + "Max is a sterpus, a numpus, and a vumpus.", + "Max is a sterpus.", + "This contradicts with Max is not a sterpus.", + "Max is not a grimpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Each shumpus is a numpus. Sterpuses are lorpuses. Everything that is a lempus or a tumpus or an impus is a numpus. Everything that is a tumpus or a vumpus or a grimpus is a brimpus. Everything that is a lempus, a tumpus, or an impus is a rompus. Sally is a brimpus, a gorpus, and a jompus. Sally is a sterpus, a shumpus, and a tumpus.", + "query": "Prove: Sally is a rompus.", + "chain_of_thought": [ + "Sally is a sterpus, a shumpus, and a tumpus.", + "Sally is a tumpus.", + "Sally is a lempus or a tumpus or an impus.", + "Everything that is a lempus, a tumpus, or an impus is a rompus.", + "Sally is a rompus." + ] + }, + "test_example": { + "question": "Every wumpus is a lorpus. Every grimpus is a dumpus. Everything that is a shumpus or a vumpus or a gorpus is a yumpus. Every wumpus is a shumpus, a grimpus, and a tumpus. Every tumpus is a rompus. Max is a sterpus. Max is a wumpus.", + "query": "Prove: Max is a lempus or a shumpus or a grimpus.", + "chain_of_thought": [ + "Max is a wumpus.", + "Every wumpus is a shumpus, a grimpus, and a tumpus.", + "Max is a shumpus, a grimpus, and a tumpus.", + "Max is a shumpus.", + "Max is a lempus, a shumpus, or a grimpus." + ] + } + }, + "example27": { + "in_context_example0": { + "question": "Everything that is a dumpus and a tumpus and a rompus is a jompus. Polly is a dumpus. Polly is a rompus. Everything that is a tumpus and a zumpus and a yumpus is a shumpus. Everything that is a tumpus, a zumpus, and a yumpus is a wumpus. Polly is a tumpus. Everything that is a shumpus or a wumpus or a rompus is a lorpus. Polly is a tumpus. Polly is a shumpus. Polly is a zumpus. Polly is a yumpus.", + "query": "Prove: Polly is a wumpus or a brimpus or an impus.", + "chain_of_thought": [ + "Polly is a yumpus.", + "Polly is a zumpus.", + "Polly is a tumpus.", + "Polly is a tumpus, a zumpus, and a yumpus.", + "Everything that is a tumpus, a zumpus, and a yumpus is a wumpus.", + "Polly is a wumpus.", + "Polly is a wumpus, a brimpus, or an impus." + ] + }, + "in_context_example1": { + "question": "Every tumpus is a gorpus. Everything that is a lempus or a yumpus or a dumpus is a tumpus, a sterpus, and a rompus. Everything that is a gorpus or a lempus or a jompus is a grimpus. Rompuses are numpuses. Everything that is a lempus or a yumpus or a dumpus is a vumpus. Rex is a vumpus. Rex is a lempus.", + "query": "Prove: Rex is a sterpus.", + "chain_of_thought": [ + "Rex is a lempus.", + "Rex is a lempus, a yumpus, or a dumpus.", + "Everything that is a lempus or a yumpus or a dumpus is a tumpus, a sterpus, and a rompus.", + "Rex is a tumpus and a sterpus and a rompus.", + "Rex is a sterpus." + ] + }, + "in_context_example2": { + "question": "Every wumpus is a dumpus. Everything that is a yumpus, a rompus, or a shumpus is a gorpus, a lempus, and a wumpus. Everything that is a yumpus or a rompus or a shumpus is a lorpus. Gorpuses are zumpuses. Everything that is a numpus or a rompus or a tumpus is a brimpus. Sam is a numpus. Sam is a rompus.", + "query": "Prove: Sam is a lempus.", + "chain_of_thought": [ + "Sam is a rompus.", + "Sam is a yumpus or a rompus or a shumpus.", + "Everything that is a yumpus, a rompus, or a shumpus is a gorpus, a lempus, and a wumpus.", + "Sam is a gorpus, a lempus, and a wumpus.", + "Sam is a lempus." + ] + }, + "in_context_example3": { + "question": "Every wumpus is a grimpus. Alex is a gorpus. Alex is a zumpus. Everything that is a zumpus, a gorpus, and a numpus is a dumpus. Everything that is a gorpus, a jompus, and a rompus is a brimpus and a yumpus and a wumpus. Everything that is a gorpus, a jompus, and a rompus is a lorpus. Alex is a numpus. Yumpuses are vumpuses. Alex is a gorpus. Alex is a dumpus. Alex is a jompus. Alex is a rompus.", + "query": "Prove: Alex is a brimpus.", + "chain_of_thought": [ + "Alex is a rompus.", + "Alex is a jompus.", + "Alex is a gorpus.", + "Alex is a gorpus, a jompus, and a rompus.", + "Everything that is a gorpus, a jompus, and a rompus is a brimpus and a yumpus and a wumpus.", + "Alex is a brimpus, a yumpus, and a wumpus.", + "Alex is a brimpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a brimpus or a gorpus or an impus is a yumpus and a wumpus and a lempus. Everything that is a brimpus or a gorpus or an impus is a vumpus. Lempuses are vumpuses. Wumpuses are jompuses. Everything that is a dumpus, an impus, or a shumpus is a vumpus. Sally is a dumpus. Sally is an impus.", + "query": "Prove: Sally is a yumpus.", + "chain_of_thought": [ + "Sally is an impus.", + "Sally is a brimpus or a gorpus or an impus.", + "Everything that is a brimpus or a gorpus or an impus is a yumpus and a wumpus and a lempus.", + "Sally is a yumpus, a wumpus, and a lempus.", + "Sally is a yumpus." + ] + }, + "in_context_example5": { + "question": "Gorpuses are lempuses and zumpuses and lorpuses. Everything that is a vumpus or a rompus or a sterpus is a grimpus. Each lempus is a brimpus. Everything that is an impus, a rompus, or a dumpus is a jompus. Each lorpus is a shumpus. Alex is a dumpus. Dumpuses are zumpuses. Gorpuses are brimpuses. Everything that is a vumpus or a rompus or a sterpus is not a zumpus. Alex is a tumpus. Alex is a rompus.", + "query": "Prove: Alex is not a gorpus.", + "chain_of_thought": [ + "Alex is a rompus.", + "Alex is a vumpus or a rompus or a sterpus.", + "Everything that is a vumpus or a rompus or a sterpus is not a zumpus.", + "Alex is not a zumpus.\n\n", + "Assume Alex is a gorpus.", + "Gorpuses are lempuses and zumpuses and lorpuses.", + "Alex is a lempus, a zumpus, and a lorpus.", + "Alex is a zumpus.", + "This contradicts with Alex is not a zumpus.", + "Alex is not a gorpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Every numpus is a lempus. Polly is a zumpus. Each shumpus is a tumpus. Polly is a tumpus. Everything that is a brimpus, a zumpus, and a tumpus is a gorpus. Polly is a brimpus. Everything that is a zumpus and a rompus and a wumpus is a numpus, a shumpus, and a vumpus. Everything that is a zumpus, a rompus, and a wumpus is a lorpus. Polly is a zumpus. Polly is a gorpus. Polly is a rompus. Polly is a wumpus.", + "query": "Prove: Polly is a vumpus.", + "chain_of_thought": [ + "Polly is a wumpus.", + "Polly is a rompus.", + "Polly is a zumpus.", + "Polly is a zumpus and a rompus and a wumpus.", + "Everything that is a zumpus and a rompus and a wumpus is a numpus, a shumpus, and a vumpus.", + "Polly is a numpus and a shumpus and a vumpus.", + "Polly is a vumpus." + ] + }, + "in_context_example7": { + "question": "Each impus is a jompus. Every grimpus is a tumpus. Lempuses are grimpuses, impuses, and zumpuses. Lempuses are wumpuses. Everything that is a vumpus or a zumpus or a wumpus is a jompus. Rex is a brimpus. Rex is a lempus.", + "query": "Prove: Rex is a numpus, a zumpus, or a rompus.", + "chain_of_thought": [ + "Rex is a lempus.", + "Lempuses are grimpuses, impuses, and zumpuses.", + "Rex is a grimpus and an impus and a zumpus.", + "Rex is a zumpus.", + "Rex is a numpus, a zumpus, or a rompus." + ] + }, + "test_example": { + "question": "Each grimpus is a sterpus. Shumpuses are gorpuses. Everything that is a wumpus or a numpus or a lorpus is a vumpus. Everything that is a wumpus or a lempus or an impus is a dumpus. Everything that is a wumpus or a numpus or a lorpus is a grimpus and a zumpus and a shumpus. Alex is a jompus. Alex is a wumpus.", + "query": "Prove: Alex is a zumpus.", + "chain_of_thought": [ + "Alex is a wumpus.", + "Alex is a wumpus or a numpus or a lorpus.", + "Everything that is a wumpus or a numpus or a lorpus is a grimpus and a zumpus and a shumpus.", + "Alex is a grimpus, a zumpus, and a shumpus.", + "Alex is a zumpus." + ] + } + }, + "example28": { + "in_context_example0": { + "question": "Everything that is a jompus, a brimpus, or an impus is a rompus. Everything that is a zumpus or a jompus or a lempus is a grimpus. Everything that is a zumpus, a jompus, or a lempus is a sterpus and a gorpus and a wumpus. Each wumpus is a shumpus. Gorpuses are brimpuses. Sally is a tumpus. Sally is a jompus.", + "query": "Prove: Sally is a sterpus.", + "chain_of_thought": [ + "Sally is a jompus.", + "Sally is a zumpus, a jompus, or a lempus.", + "Everything that is a zumpus, a jompus, or a lempus is a sterpus and a gorpus and a wumpus.", + "Sally is a sterpus and a gorpus and a wumpus.", + "Sally is a sterpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a zumpus or a rompus or a sterpus is a tumpus. Shumpuses are vumpuses. Everything that is a zumpus, a grimpus, or a gorpus is an impus. Max is a lempus. Everything that is a zumpus, a grimpus, or a gorpus is a rompus. Lempuses are impuses. Numpuses are wumpuses. Max is a lorpus and a rompus and a dumpus. Max is a numpus and Max is a shumpus and Max is not an impus.", + "query": "Prove: Max is not a zumpus.", + "chain_of_thought": [ + "Max is a numpus, Max is a shumpus, and Max is not an impus.", + "Max is not an impus.\n\n", + "Assume Max is a zumpus.", + "Max is a zumpus or a grimpus or a gorpus.", + "Everything that is a zumpus, a grimpus, or a gorpus is an impus.", + "Max is an impus.", + "This contradicts with Max is not an impus.", + "Max is not a zumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a tumpus and a sterpus and a dumpus is a lempus and an impus and a numpus. Rex is a tumpus. Each numpus is a brimpus. Each lempus is a rompus. Everything that is a tumpus and a grimpus and a vumpus is a wumpus. Rex is a grimpus. Everything that is a tumpus and a sterpus and a dumpus is a vumpus. Rex is a vumpus. Rex is a tumpus. Rex is a sterpus. Rex is a lorpus. Rex is a dumpus.", + "query": "Prove: Rex is an impus.", + "chain_of_thought": [ + "Rex is a dumpus.", + "Rex is a sterpus.", + "Rex is a tumpus.", + "Rex is a tumpus, a sterpus, and a dumpus.", + "Everything that is a tumpus and a sterpus and a dumpus is a lempus and an impus and a numpus.", + "Rex is a lempus, an impus, and a numpus.", + "Rex is an impus." + ] + }, + "in_context_example3": { + "question": "Each yumpus is a wumpus. Tumpuses are shumpuses. Jompuses are sterpuses. Yumpuses are shumpuses. Everything that is a wumpus or a brimpus or a gorpus is a shumpus. Sally is a rompus and a sterpus and a lorpus. Sally is a tumpus, a yumpus, and a jompus.", + "query": "Prove: Sally is a numpus or a wumpus or a vumpus.", + "chain_of_thought": [ + "Sally is a tumpus, a yumpus, and a jompus.", + "Sally is a yumpus.", + "Each yumpus is a wumpus.", + "Sally is a wumpus.", + "Sally is a numpus, a wumpus, or a vumpus." + ] + }, + "in_context_example4": { + "question": "Tumpuses are zumpuses. Tumpuses are sterpuses. Everything that is a zumpus, a sterpus, or a wumpus is a numpus. Each yumpus is a shumpus. Impuses are brimpuses. Rex is a lorpus, a vumpus, and a brimpus. Rex is a yumpus, a tumpus, and an impus.", + "query": "Prove: Rex is a gorpus, a zumpus, or a rompus.", + "chain_of_thought": [ + "Rex is a yumpus, a tumpus, and an impus.", + "Rex is a tumpus.", + "Tumpuses are zumpuses.", + "Rex is a zumpus.", + "Rex is a gorpus or a zumpus or a rompus." + ] + }, + "in_context_example5": { + "question": "Each lempus is a wumpus. Lorpuses are sterpuses. Lempuses are grimpuses, jompuses, and dumpuses. Every shumpus is a jompus. Rex is a shumpus. Grimpuses are wumpuses. Dumpuses are impuses. Every zumpus is a rompus. Rex is a yumpus and a vumpus and a gorpus. Rex is not a jompus and Rex is a zumpus and Rex is a lorpus.", + "query": "Prove: Rex is not a lempus.", + "chain_of_thought": [ + "Rex is not a jompus and Rex is a zumpus and Rex is a lorpus.", + "Rex is not a jompus.\n\n", + "Assume Rex is a lempus.", + "Lempuses are grimpuses, jompuses, and dumpuses.", + "Rex is a grimpus and a jompus and a dumpus.", + "Rex is a jompus.", + "This contradicts with Rex is not a jompus.", + "Rex is not a lempus.\n\n" + ] + }, + "in_context_example6": { + "question": "Everything that is a yumpus and a gorpus and an impus is a brimpus. Wren is a shumpus. Everything that is a gorpus, a numpus, and a lempus is a jompus. Tumpuses are vumpuses. Wren is a wumpus. Everything that is a grimpus, a wumpus, and a shumpus is a brimpus. Wren is a yumpus. Wren is a brimpus. Wren is a grimpus. Everything that is a zumpus and a yumpus and a brimpus is a wumpus. Wren is a zumpus. Everything that is a yumpus and a gorpus and an impus is a grimpus. Wren is a yumpus. Wren is a gorpus. Wren is an impus. Wren is a zumpus. Wren is a gorpus. Wren is a numpus. Wren is a lempus. Wren is not a vumpus, Wren is a lorpus, and Wren is a rompus.", + "query": "Prove: Wren is a grimpus and Wren is a jompus and Wren is not a tumpus.", + "chain_of_thought": [ + "Wren is not a vumpus and Wren is a lorpus and Wren is a rompus.", + "Wren is not a vumpus.\n\n", + "Assume Wren is a tumpus.", + "Tumpuses are vumpuses.", + "Wren is a vumpus.", + "This contradicts with Wren is not a vumpus.", + "Wren is not a tumpus.\n\n", + "Wren is a lempus.", + "Wren is a numpus.", + "Wren is a gorpus.", + "Wren is a gorpus, a numpus, and a lempus.", + "Everything that is a gorpus, a numpus, and a lempus is a jompus.", + "Wren is a jompus.", + "Wren is an impus.", + "Wren is a gorpus.", + "Wren is a yumpus.", + "Wren is a yumpus, a gorpus, and an impus.", + "Everything that is a yumpus and a gorpus and an impus is a grimpus.", + "Wren is a grimpus.", + "Wren is a grimpus, Wren is a jompus, and Wren is not a tumpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a wumpus, a lorpus, and a rompus is a brimpus. Sam is a grimpus. Sterpuses are brimpuses. Each yumpus is a grimpus. Zumpuses are impuses. Gorpuses are grimpuses. Everything that is a wumpus and a lorpus and a rompus is a jompus. Sam is a wumpus. Everything that is a wumpus and a lempus and a grimpus is a numpus. Sam is a lempus. Every yumpus is not a brimpus. Sam is a sterpus. Sam is a yumpus and a zumpus and a gorpus. Sam is a wumpus. Sam is a grimpus and a dumpus and a jompus. Sam is a rompus.", + "query": "Prove: Sam is not a lorpus.", + "chain_of_thought": [ + "Sam is a yumpus, a zumpus, and a gorpus.", + "Sam is a yumpus.", + "Every yumpus is not a brimpus.", + "Sam is not a brimpus.", + "Sam is a rompus.\n\n", + "Assume Sam is a lorpus.", + "Sam is a wumpus.", + "Sam is a wumpus, a lorpus, and a rompus.", + "Everything that is a wumpus, a lorpus, and a rompus is a brimpus.", + "Sam is a brimpus.", + "This contradicts with Sam is not a brimpus.", + "Sam is not a lorpus.\n\n" + ] + }, + "test_example": { + "question": "Max is a jompus. Max is a numpus. Max is a wumpus. Everything that is a jompus, a wumpus, and a numpus is a lorpus. Everything that is a wumpus, a sterpus, and a zumpus is a numpus. Everything that is a rompus, a shumpus, or a tumpus is a gorpus. Everything that is a wumpus, a sterpus, and a zumpus is a rompus. Max is an impus. Max is a wumpus. Max is a sterpus. Max is a zumpus.", + "query": "Prove: Max is a brimpus, a rompus, or a vumpus.", + "chain_of_thought": [ + "Max is a zumpus.", + "Max is a sterpus.", + "Max is a wumpus.", + "Max is a wumpus, a sterpus, and a zumpus.", + "Everything that is a wumpus, a sterpus, and a zumpus is a rompus.", + "Max is a rompus.", + "Max is a brimpus, a rompus, or a vumpus." + ] + } + }, + "example29": { + "in_context_example0": { + "question": "Max is an impus. Everything that is a vumpus and an impus and a sterpus is a gorpus. Max is a zumpus. Zumpuses are lorpuses. Each wumpus is a jompus. Max is a sterpus. Everything that is an impus, a brimpus, and a tumpus is a jompus. Everything that is an impus and a brimpus and a tumpus is a lorpus. Shumpuses are sterpuses. Max is a vumpus. Max is a jompus and a vumpus and a sterpus. Max is a shumpus and Max is not a lorpus and Max is a wumpus. Max is a brimpus. Max is a tumpus.", + "query": "Prove: Max is not an impus.", + "chain_of_thought": [ + "Max is a shumpus, Max is not a lorpus, and Max is a wumpus.", + "Max is not a lorpus.", + "Max is a tumpus.", + "Max is a brimpus.\n\n", + "Assume Max is an impus.", + "Max is an impus and a brimpus and a tumpus.", + "Everything that is an impus and a brimpus and a tumpus is a lorpus.", + "Max is a lorpus.", + "This contradicts with Max is not a lorpus.", + "Max is not an impus.\n\n" + ] + }, + "in_context_example1": { + "question": "Each lempus is a wumpus. Every gorpus is a jompus. Everything that is a wumpus or an impus or a rompus is a jompus. Grimpuses are rompuses. Each lempus is an impus. Sam is a lorpus and a rompus and a jompus. Sam is a grimpus and a lempus and a gorpus.", + "query": "Prove: Sam is a wumpus or a brimpus or a numpus.", + "chain_of_thought": [ + "Sam is a grimpus and a lempus and a gorpus.", + "Sam is a lempus.", + "Each lempus is a wumpus.", + "Sam is a wumpus.", + "Sam is a wumpus, a brimpus, or a numpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a tumpus, an impus, or a rompus is a gorpus. Everything that is a numpus or an impus or a zumpus is a lempus. Brimpuses are rompuses. Everything that is a numpus or an impus or a zumpus is a wumpus. Grimpuses are tumpuses. Rex is a jompus and a rompus and a wumpus. Rex is an impus, a brimpus, and a grimpus.", + "query": "Prove: Rex is a lempus.", + "chain_of_thought": [ + "Rex is an impus, a brimpus, and a grimpus.", + "Rex is an impus.", + "Rex is a numpus or an impus or a zumpus.", + "Everything that is a numpus or an impus or a zumpus is a lempus.", + "Rex is a lempus." + ] + }, + "in_context_example3": { + "question": "Alex is a gorpus. Everything that is a yumpus, a brimpus, and a gorpus is a shumpus. Everything that is a brimpus and a numpus and a wumpus is a tumpus and a zumpus and a dumpus. Everything that is a brimpus and a numpus and a wumpus is a rompus. Dumpuses are sterpuses. Each tumpus is a shumpus. Alex is a yumpus. Alex is a brimpus. Alex is a brimpus. Alex is a numpus. Alex is a shumpus. Alex is a wumpus.", + "query": "Prove: Alex is a zumpus.", + "chain_of_thought": [ + "Alex is a wumpus.", + "Alex is a numpus.", + "Alex is a brimpus.", + "Alex is a brimpus, a numpus, and a wumpus.", + "Everything that is a brimpus and a numpus and a wumpus is a tumpus and a zumpus and a dumpus.", + "Alex is a tumpus and a zumpus and a dumpus.", + "Alex is a zumpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a vumpus or a zumpus or a tumpus is a wumpus, a grimpus, and a lempus. Each lempus is an impus. Everything that is a vumpus, a zumpus, or a tumpus is a sterpus. Everything that is a zumpus, a gorpus, or a sterpus is a yumpus. Every wumpus is a brimpus. Wren is a jompus. Wren is a zumpus.", + "query": "Prove: Wren is a grimpus.", + "chain_of_thought": [ + "Wren is a zumpus.", + "Wren is a vumpus or a zumpus or a tumpus.", + "Everything that is a vumpus or a zumpus or a tumpus is a wumpus, a grimpus, and a lempus.", + "Wren is a wumpus, a grimpus, and a lempus.", + "Wren is a grimpus." + ] + }, + "in_context_example5": { + "question": "Jompuses are vumpuses. Each rompus is an impus. Every brimpus is a lorpus. Every wumpus is a tumpus. Polly is an impus. Each gorpus is a rompus. Each jompus is a brimpus, a wumpus, and a dumpus. Each impus is a dumpus. Each gorpus is a numpus. Rompuses are not dumpuses. Polly is a tumpus. Polly is a gorpus.", + "query": "Prove: Polly is not a jompus.", + "chain_of_thought": [ + "Polly is a gorpus.", + "Each gorpus is a rompus.", + "Polly is a rompus.", + "Rompuses are not dumpuses.", + "Polly is not a dumpus.\n\n", + "Assume Polly is a jompus.", + "Each jompus is a brimpus, a wumpus, and a dumpus.", + "Polly is a brimpus, a wumpus, and a dumpus.", + "Polly is a dumpus.", + "This contradicts with Polly is not a dumpus.", + "Polly is not a jompus.\n\n" + ] + }, + "in_context_example6": { + "question": "Every rompus is a sterpus. Everything that is a dumpus or a gorpus or a shumpus is a sterpus. Yumpuses are jompuses. Zumpuses are sterpuses. Each zumpus is a dumpus. Max is a jompus and an impus and a numpus. Max is a zumpus, a rompus, and a yumpus.", + "query": "Prove: Max is a wumpus, a lempus, or a dumpus.", + "chain_of_thought": [ + "Max is a zumpus, a rompus, and a yumpus.", + "Max is a zumpus.", + "Each zumpus is a dumpus.", + "Max is a dumpus.", + "Max is a wumpus or a lempus or a dumpus." + ] + }, + "in_context_example7": { + "question": "Shumpuses are lorpuses. Every wumpus is a tumpus and a lorpus and a grimpus. Grimpuses are lempuses. Stella is a shumpus. Wumpuses are numpuses. Tumpuses are zumpuses. Every rompus is a numpus. Every tumpus is a gorpus. Stella is a lempus and a shumpus and a zumpus. Stella is a rompus and Stella is a tumpus and Stella is not a lorpus.", + "query": "Prove: Stella is not a wumpus.", + "chain_of_thought": [ + "Stella is a rompus and Stella is a tumpus and Stella is not a lorpus.", + "Stella is not a lorpus.\n\n", + "Assume Stella is a wumpus.", + "Every wumpus is a tumpus and a lorpus and a grimpus.", + "Stella is a tumpus and a lorpus and a grimpus.", + "Stella is a lorpus.", + "This contradicts with Stella is not a lorpus.", + "Stella is not a wumpus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a sterpus or a tumpus or a shumpus is a rompus. Everything that is a brimpus, a dumpus, or a tumpus is a yumpus and a jompus and a lorpus. Jompuses are rompuses. Every lorpus is a zumpus. Everything that is a brimpus, a dumpus, or a tumpus is an impus. Rex is an impus. Rex is a tumpus.", + "query": "Prove: Rex is a yumpus.", + "chain_of_thought": [ + "Rex is a tumpus.", + "Rex is a brimpus, a dumpus, or a tumpus.", + "Everything that is a brimpus, a dumpus, or a tumpus is a yumpus and a jompus and a lorpus.", + "Rex is a yumpus and a jompus and a lorpus.", + "Rex is a yumpus." + ] + } + }, + "example30": { + "in_context_example0": { + "question": "Each lorpus is an impus. Everything that is a rompus, a gorpus, or a jompus is a tumpus. Shumpuses are jompuses. Every vumpus is a zumpus. Each shumpus is a lorpus and a vumpus and a gorpus. Stella is a numpus. Stella is a shumpus.", + "query": "Prove: Stella is a yumpus or a grimpus or a gorpus.", + "chain_of_thought": [ + "Stella is a shumpus.", + "Each shumpus is a lorpus and a vumpus and a gorpus.", + "Stella is a lorpus, a vumpus, and a gorpus.", + "Stella is a gorpus.", + "Stella is a yumpus, a grimpus, or a gorpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a dumpus and a lempus and a zumpus is a gorpus. Sam is a lempus. Each grimpus is a rompus, a tumpus, and a lorpus. Everything that is a dumpus, a sterpus, and a vumpus is not a rompus. Every lorpus is a numpus. Tumpuses are yumpuses. Sam is a zumpus. Everything that is a dumpus and a sterpus and a vumpus is a shumpus. Sam is a dumpus. Every grimpus is a zumpus. Each lempus is a rompus. Sam is a dumpus. Sam is a numpus. Sam is a sterpus. Sam is a vumpus.", + "query": "Prove: Sam is not a grimpus.", + "chain_of_thought": [ + "Sam is a vumpus.", + "Sam is a sterpus.", + "Sam is a dumpus.", + "Sam is a dumpus and a sterpus and a vumpus.", + "Everything that is a dumpus, a sterpus, and a vumpus is not a rompus.", + "Sam is not a rompus.\n\n", + "Assume Sam is a grimpus.", + "Each grimpus is a rompus, a tumpus, and a lorpus.", + "Sam is a rompus, a tumpus, and a lorpus.", + "Sam is a rompus.", + "This contradicts with Sam is not a rompus.", + "Sam is not a grimpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Sally is a zumpus. Everything that is a rompus and a jompus and a sterpus is a tumpus and a wumpus and a shumpus. Sally is a gorpus. Shumpuses are vumpuses. Everything that is a rompus, a gorpus, and a zumpus is a grimpus. Tumpuses are impuses. Everything that is a rompus and a jompus and a sterpus is a yumpus. Sally is a rompus. Sally is a brimpus. Sally is a rompus. Sally is a jompus. Sally is a sterpus.", + "query": "Prove: Sally is a wumpus.", + "chain_of_thought": [ + "Sally is a sterpus.", + "Sally is a jompus.", + "Sally is a rompus.", + "Sally is a rompus and a jompus and a sterpus.", + "Everything that is a rompus and a jompus and a sterpus is a tumpus and a wumpus and a shumpus.", + "Sally is a tumpus and a wumpus and a shumpus.", + "Sally is a wumpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a shumpus, a rompus, or a vumpus is an impus. Everything that is a brimpus or a shumpus or a grimpus is a gorpus, a wumpus, and a zumpus. Each wumpus is a lempus. Every gorpus is a yumpus. Everything that is a brimpus or a shumpus or a grimpus is a jompus. Max is a numpus. Max is a shumpus.", + "query": "Prove: Max is a zumpus.", + "chain_of_thought": [ + "Max is a shumpus.", + "Max is a brimpus or a shumpus or a grimpus.", + "Everything that is a brimpus or a shumpus or a grimpus is a gorpus, a wumpus, and a zumpus.", + "Max is a gorpus, a wumpus, and a zumpus.", + "Max is a zumpus." + ] + }, + "in_context_example4": { + "question": "Lempuses are jompuses. Everything that is a zumpus, a yumpus, or a jompus is an impus. Every wumpus is a zumpus, a lempus, and a sterpus. Sterpuses are lorpuses. Wumpuses are jompuses. Sally is a brimpus. Sally is a wumpus.", + "query": "Prove: Sally is a zumpus or a vumpus or a dumpus.", + "chain_of_thought": [ + "Sally is a wumpus.", + "Every wumpus is a zumpus, a lempus, and a sterpus.", + "Sally is a zumpus and a lempus and a sterpus.", + "Sally is a zumpus.", + "Sally is a zumpus or a vumpus or a dumpus." + ] + }, + "in_context_example5": { + "question": "Sterpuses are numpuses. Grimpuses are lempuses. Each rompus is a dumpus. Rex is a rompus. Each gorpus is a tumpus. Yumpuses are brimpuses. Each yumpus is a vumpus. Each sterpus is a dumpus and a gorpus and a yumpus. Rex is a brimpus, a vumpus, and a numpus. Rex is a yumpus, Rex is a grimpus, and Rex is not a dumpus.", + "query": "Prove: Rex is not a sterpus.", + "chain_of_thought": [ + "Rex is a yumpus and Rex is a grimpus and Rex is not a dumpus.", + "Rex is not a dumpus.\n\n", + "Assume Rex is a sterpus.", + "Each sterpus is a dumpus and a gorpus and a yumpus.", + "Rex is a dumpus and a gorpus and a yumpus.", + "Rex is a dumpus.", + "This contradicts with Rex is not a dumpus.", + "Rex is not a sterpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Every lorpus is a brimpus. Everything that is a numpus, a shumpus, or a lempus is a vumpus. Everything that is a grimpus, a numpus, or a gorpus is a tumpus. Everything that is a grimpus or a numpus or a gorpus is a rompus. Each jompus is a sterpus. Sally is a brimpus and a dumpus and a lempus. Sally is a numpus and a jompus and a lorpus.", + "query": "Prove: Sally is a rompus.", + "chain_of_thought": [ + "Sally is a numpus and a jompus and a lorpus.", + "Sally is a numpus.", + "Sally is a grimpus, a numpus, or a gorpus.", + "Everything that is a grimpus or a numpus or a gorpus is a rompus.", + "Sally is a rompus." + ] + }, + "in_context_example7": { + "question": "Everything that is a jompus and an impus and a tumpus is a dumpus. Jompuses are tumpuses. Wren is a tumpus. Everything that is a jompus and a lempus and a zumpus is a yumpus. Everything that is a jompus and a lempus and a zumpus is a lorpus. Shumpuses are dumpuses. Wren is a jompus. Wren is an impus. Impuses are yumpuses. Wren is a jompus and Wren is not a yumpus and Wren is a shumpus. Wren is a lempus. Wren is a gorpus, a tumpus, and an impus. Wren is a zumpus.", + "query": "Prove: Wren is not a jompus.", + "chain_of_thought": [ + "Wren is a jompus, Wren is not a yumpus, and Wren is a shumpus.", + "Wren is not a yumpus.", + "Wren is a zumpus.", + "Wren is a lempus.\n\n", + "Assume Wren is a jompus.", + "Wren is a jompus and a lempus and a zumpus.", + "Everything that is a jompus and a lempus and a zumpus is a yumpus.", + "Wren is a yumpus.", + "This contradicts with Wren is not a yumpus.", + "Wren is not a jompus.\n\n" + ] + }, + "test_example": { + "question": "Lempuses are dumpuses. Each yumpus is a sterpus. Every jompus is a rompus. Fae is a sterpus. Each sterpus is a gorpus. Each lorpus is a shumpus. Each numpus is a grimpus. Every lorpus is a gorpus and a jompus and a numpus. Fae is a tumpus, an impus, and a rompus. Fae is a yumpus, Fae is a lempus, and Fae is not a gorpus.", + "query": "Prove: Fae is not a lorpus.", + "chain_of_thought": [ + "Fae is a yumpus and Fae is a lempus and Fae is not a gorpus.", + "Fae is not a gorpus.\n\n", + "Assume Fae is a lorpus.", + "Every lorpus is a gorpus and a jompus and a numpus.", + "Fae is a gorpus and a jompus and a numpus.", + "Fae is a gorpus.", + "This contradicts with Fae is not a gorpus.", + "Fae is not a lorpus.\n\n" + ] + } + }, + "example31": { + "in_context_example0": { + "question": "Everything that is a tumpus, a brimpus, and a wumpus is a sterpus. Jompuses are rompuses. Max is a tumpus. Every lempus is a zumpus. Max is a gorpus. Everything that is a tumpus and a brimpus and a wumpus is a jompus and a lempus and a grimpus. Max is a vumpus. Everything that is a vumpus and a tumpus and a gorpus is a shumpus. Max is a tumpus. Max is a zumpus. Max is a brimpus. Max is a wumpus.", + "query": "Prove: Max is a grimpus.", + "chain_of_thought": [ + "Max is a wumpus.", + "Max is a brimpus.", + "Max is a tumpus.", + "Max is a tumpus, a brimpus, and a wumpus.", + "Everything that is a tumpus and a brimpus and a wumpus is a jompus and a lempus and a grimpus.", + "Max is a jompus and a lempus and a grimpus.", + "Max is a grimpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a yumpus, a tumpus, or a lempus is a lorpus and a dumpus and an impus. Each dumpus is a numpus. Everything that is a rompus or a lempus or a sterpus is a numpus. Everything that is a yumpus or a tumpus or a lempus is a shumpus. Each lorpus is a gorpus. Stella is a shumpus. Stella is a lempus.", + "query": "Prove: Stella is an impus.", + "chain_of_thought": [ + "Stella is a lempus.", + "Stella is a yumpus or a tumpus or a lempus.", + "Everything that is a yumpus, a tumpus, or a lempus is a lorpus and a dumpus and an impus.", + "Stella is a lorpus and a dumpus and an impus.", + "Stella is an impus." + ] + }, + "in_context_example2": { + "question": "Each lorpus is a gorpus. Everything that is a lempus or a rompus or a yumpus is a gorpus. Sterpuses are rompuses. Every sterpus is a lempus and a numpus and a lorpus. Every numpus is a grimpus. Fae is a vumpus. Fae is a sterpus.", + "query": "Prove: Fae is a lempus, a lorpus, or an impus.", + "chain_of_thought": [ + "Fae is a sterpus.", + "Every sterpus is a lempus and a numpus and a lorpus.", + "Fae is a lempus, a numpus, and a lorpus.", + "Fae is a lempus.", + "Fae is a lempus or a lorpus or an impus." + ] + }, + "in_context_example3": { + "question": "Everything that is a shumpus or a vumpus or a lorpus is a grimpus. Each sterpus is a yumpus. Each zumpus is a grimpus. Everything that is a shumpus or a vumpus or a lorpus is a zumpus, a dumpus, and a sterpus. Everything that is a lempus or a lorpus or a brimpus is an impus. Wren is a tumpus. Wren is a lorpus.", + "query": "Prove: Wren is a dumpus.", + "chain_of_thought": [ + "Wren is a lorpus.", + "Wren is a shumpus or a vumpus or a lorpus.", + "Everything that is a shumpus or a vumpus or a lorpus is a zumpus, a dumpus, and a sterpus.", + "Wren is a zumpus and a dumpus and a sterpus.", + "Wren is a dumpus." + ] + }, + "in_context_example4": { + "question": "Wumpuses are grimpuses. Vumpuses are tumpuses. Everything that is a sterpus, a numpus, or a lempus is a zumpus. Everything that is a brimpus, a rompus, or a sterpus is a tumpus. Everything that is a brimpus or a rompus or a sterpus is a gorpus. Polly is a shumpus and a tumpus and a lempus. Polly is a sterpus and a vumpus and a wumpus.", + "query": "Prove: Polly is a gorpus.", + "chain_of_thought": [ + "Polly is a sterpus, a vumpus, and a wumpus.", + "Polly is a sterpus.", + "Polly is a brimpus, a rompus, or a sterpus.", + "Everything that is a brimpus or a rompus or a sterpus is a gorpus.", + "Polly is a gorpus." + ] + }, + "in_context_example5": { + "question": "Each wumpus is a lorpus. Everything that is a gorpus or a jompus or a brimpus is a sterpus. Wumpuses are shumpuses, jompuses, and zumpuses. Each zumpus is a vumpus. Shumpuses are lorpuses. Fae is a lorpus. Fae is a wumpus.", + "query": "Prove: Fae is an impus or a grimpus or a jompus.", + "chain_of_thought": [ + "Fae is a wumpus.", + "Wumpuses are shumpuses, jompuses, and zumpuses.", + "Fae is a shumpus and a jompus and a zumpus.", + "Fae is a jompus.", + "Fae is an impus, a grimpus, or a jompus." + ] + }, + "in_context_example6": { + "question": "Sterpuses are shumpuses. Everything that is a lempus or a rompus or a grimpus is a lorpus. Everything that is a lempus or a rompus or a grimpus is a yumpus. Every lempus is a wumpus. Everything that is a rompus or a wumpus or a zumpus is a numpus. Stella is a wumpus, a dumpus, and a vumpus. Stella is a lempus, a rompus, and a sterpus.", + "query": "Prove: Stella is a yumpus.", + "chain_of_thought": [ + "Stella is a lempus and a rompus and a sterpus.", + "Stella is a rompus.", + "Stella is a lempus, a rompus, or a grimpus.", + "Everything that is a lempus or a rompus or a grimpus is a yumpus.", + "Stella is a yumpus." + ] + }, + "in_context_example7": { + "question": "Every impus is a lempus. Everything that is a dumpus, a vumpus, or a grimpus is a gorpus. Everything that is a dumpus, a vumpus, or a grimpus is a yumpus. Numpuses are brimpuses. Everything that is a yumpus, a vumpus, or a lorpus is a sterpus. Stella is a sterpus, a brimpus, and a yumpus. Stella is a vumpus and an impus and a numpus.", + "query": "Prove: Stella is a gorpus.", + "chain_of_thought": [ + "Stella is a vumpus and an impus and a numpus.", + "Stella is a vumpus.", + "Stella is a dumpus, a vumpus, or a grimpus.", + "Everything that is a dumpus, a vumpus, or a grimpus is a gorpus.", + "Stella is a gorpus." + ] + }, + "test_example": { + "question": "Wren is a dumpus. Everything that is a rompus, a tumpus, and a vumpus is a yumpus and a lorpus and a zumpus. Wren is a rompus. Lorpuses are wumpuses. Every zumpus is a lempus. Everything that is a rompus, a tumpus, and a vumpus is a grimpus. Everything that is a dumpus, a rompus, and an impus is a shumpus. Wren is an impus. Wren is a rompus. Wren is a brimpus. Wren is a tumpus. Wren is a vumpus.", + "query": "Prove: Wren is a yumpus.", + "chain_of_thought": [ + "Wren is a vumpus.", + "Wren is a tumpus.", + "Wren is a rompus.", + "Wren is a rompus and a tumpus and a vumpus.", + "Everything that is a rompus, a tumpus, and a vumpus is a yumpus and a lorpus and a zumpus.", + "Wren is a yumpus and a lorpus and a zumpus.", + "Wren is a yumpus." + ] + } + }, + "example32": { + "in_context_example0": { + "question": "Everything that is a rompus or an impus or a numpus is a lempus. Everything that is an impus, a vumpus, or a gorpus is a shumpus. Zumpuses are dumpuses. Everything that is an impus, a vumpus, or a gorpus is a wumpus, a tumpus, and a zumpus. Every tumpus is a lempus. Sally is a brimpus. Sally is an impus.", + "query": "Prove: Sally is a wumpus.", + "chain_of_thought": [ + "Sally is an impus.", + "Sally is an impus or a vumpus or a gorpus.", + "Everything that is an impus, a vumpus, or a gorpus is a wumpus, a tumpus, and a zumpus.", + "Sally is a wumpus, a tumpus, and a zumpus.", + "Sally is a wumpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a brimpus, a tumpus, or a yumpus is a numpus. Everything that is a jompus, a tumpus, or a lempus is a numpus. Every impus is a dumpus. Everything that is a jompus, a tumpus, or a lempus is a vumpus. Each shumpus is a brimpus. Polly is a sterpus, a wumpus, and a zumpus. Polly is a tumpus, an impus, and a shumpus.", + "query": "Prove: Polly is a vumpus.", + "chain_of_thought": [ + "Polly is a tumpus and an impus and a shumpus.", + "Polly is a tumpus.", + "Polly is a jompus or a tumpus or a lempus.", + "Everything that is a jompus, a tumpus, or a lempus is a vumpus.", + "Polly is a vumpus." + ] + }, + "in_context_example2": { + "question": "Every dumpus is a brimpus. Sam is a gorpus. Rompuses are tumpuses. Every zumpus is a dumpus. Each wumpus is a vumpus. Dumpuses are numpuses. Each gorpus is a numpus. Each zumpus is a sterpus. Sam is a jompus, a brimpus, and a gorpus. Sam is a rompus, Sam is a wumpus, and Sam is not a numpus.", + "query": "Prove: Sam is not a zumpus.", + "chain_of_thought": [ + "Sam is a rompus, Sam is a wumpus, and Sam is not a numpus.", + "Sam is not a numpus.\n\n", + "Assume Sam is a zumpus.", + "Every zumpus is a dumpus.", + "Sam is a dumpus.", + "Dumpuses are numpuses.", + "Sam is a numpus.", + "This contradicts with Sam is not a numpus.", + "Sam is not a zumpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Every tumpus is a dumpus. Every tumpus is a gorpus and a brimpus and a yumpus. Every gorpus is a lorpus. Brimpuses are wumpuses. Everything that is a yumpus, a jompus, or a vumpus is a wumpus. Wren is a dumpus. Wren is a tumpus.", + "query": "Prove: Wren is a gorpus, a sterpus, or a yumpus.", + "chain_of_thought": [ + "Wren is a tumpus.", + "Every tumpus is a gorpus and a brimpus and a yumpus.", + "Wren is a gorpus, a brimpus, and a yumpus.", + "Wren is a yumpus.", + "Wren is a gorpus, a sterpus, or a yumpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a vumpus or a jompus or a dumpus is a zumpus. Wumpuses are numpuses. Everything that is a vumpus or a jompus or a dumpus is a tumpus. Each shumpus is a gorpus. Everything that is a numpus or a jompus or a lempus is an impus. Sally is a lorpus, a sterpus, and a tumpus. Sally is a shumpus and a jompus and a wumpus.", + "query": "Prove: Sally is a zumpus.", + "chain_of_thought": [ + "Sally is a shumpus, a jompus, and a wumpus.", + "Sally is a jompus.", + "Sally is a vumpus, a jompus, or a dumpus.", + "Everything that is a vumpus or a jompus or a dumpus is a zumpus.", + "Sally is a zumpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a zumpus or a gorpus or a lorpus is a vumpus. Everything that is a brimpus or a lempus or a jompus is a dumpus. Everything that is a yumpus, a brimpus, or a shumpus is not a numpus. Everything that is a zumpus or a gorpus or a lorpus is a numpus. Everything that is a gorpus, a rompus, or a sterpus is an impus. Each impus is a numpus. Sam is an impus. Everything that is a yumpus, a brimpus, or a shumpus is a rompus. Sam is a rompus. Sam is a brimpus.", + "query": "Prove: Sam is not a gorpus.", + "chain_of_thought": [ + "Sam is a brimpus.", + "Sam is a yumpus, a brimpus, or a shumpus.", + "Everything that is a yumpus, a brimpus, or a shumpus is not a numpus.", + "Sam is not a numpus.\n\n", + "Assume Sam is a gorpus.", + "Sam is a zumpus, a gorpus, or a lorpus.", + "Everything that is a zumpus or a gorpus or a lorpus is a numpus.", + "Sam is a numpus.", + "This contradicts with Sam is not a numpus.", + "Sam is not a gorpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Everything that is a sterpus, a grimpus, or a lempus is a brimpus and a wumpus and a shumpus. Everything that is a grimpus or a rompus or a yumpus is a dumpus. Everything that is a sterpus or a grimpus or a lempus is a numpus. Shumpuses are dumpuses. Wumpuses are jompuses. Wren is a vumpus. Wren is a grimpus.", + "query": "Prove: Wren is a brimpus.", + "chain_of_thought": [ + "Wren is a grimpus.", + "Wren is a sterpus or a grimpus or a lempus.", + "Everything that is a sterpus, a grimpus, or a lempus is a brimpus and a wumpus and a shumpus.", + "Wren is a brimpus and a wumpus and a shumpus.", + "Wren is a brimpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a vumpus, a rompus, or a zumpus is a tumpus. Grimpuses are tumpuses. Everything that is a vumpus or a sterpus or a yumpus is a grimpus, a wumpus, and a brimpus. Wumpuses are zumpuses. Everything that is a vumpus or a sterpus or a yumpus is a lorpus. Sally is a shumpus. Sally is a vumpus.", + "query": "Prove: Sally is a brimpus.", + "chain_of_thought": [ + "Sally is a vumpus.", + "Sally is a vumpus, a sterpus, or a yumpus.", + "Everything that is a vumpus or a sterpus or a yumpus is a grimpus, a wumpus, and a brimpus.", + "Sally is a grimpus, a wumpus, and a brimpus.", + "Sally is a brimpus." + ] + }, + "test_example": { + "question": "Gorpuses are brimpuses and dumpuses and impuses. Every impus is a numpus. Brimpuses are rompuses. Each zumpus is a grimpus. Gorpuses are shumpuses. Vumpuses are dumpuses. Tumpuses are not dumpuses. Sally is a vumpus. Every yumpus is a sterpus. Each tumpus is a lorpus. Sally is a grimpus and a vumpus and a sterpus. Sally is a zumpus, a yumpus, and a tumpus.", + "query": "Prove: Sally is not a gorpus.", + "chain_of_thought": [ + "Sally is a zumpus and a yumpus and a tumpus.", + "Sally is a tumpus.", + "Tumpuses are not dumpuses.", + "Sally is not a dumpus.\n\n", + "Assume Sally is a gorpus.", + "Gorpuses are brimpuses and dumpuses and impuses.", + "Sally is a brimpus and a dumpus and an impus.", + "Sally is a dumpus.", + "This contradicts with Sally is not a dumpus.", + "Sally is not a gorpus.\n\n" + ] + } + }, + "example33": { + "in_context_example0": { + "question": "Everything that is a shumpus, a wumpus, and a yumpus is a gorpus. Fae is a shumpus. Every tumpus is a jompus. Sterpuses are rompuses. Fae is a jompus. Everything that is a shumpus, a gorpus, and a jompus is an impus. Fae is a gorpus. Everything that is a shumpus, a wumpus, and a yumpus is a sterpus and a tumpus and a brimpus. Fae is a shumpus. Fae is a wumpus. Fae is a lempus. Fae is a yumpus.", + "query": "Prove: Fae is a brimpus.", + "chain_of_thought": [ + "Fae is a yumpus.", + "Fae is a wumpus.", + "Fae is a shumpus.", + "Fae is a shumpus, a wumpus, and a yumpus.", + "Everything that is a shumpus, a wumpus, and a yumpus is a sterpus and a tumpus and a brimpus.", + "Fae is a sterpus and a tumpus and a brimpus.", + "Fae is a brimpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a jompus, a sterpus, and a yumpus is a dumpus. Fae is a vumpus. Everything that is a jompus and a rompus and a vumpus is a numpus. Everything that is a jompus and a sterpus and a yumpus is a wumpus and a zumpus and a grimpus. Fae is a jompus. Grimpuses are lorpuses. Wumpuses are vumpuses. Fae is a rompus. Fae is a jompus. Fae is a vumpus. Fae is a sterpus. Fae is a yumpus.", + "query": "Prove: Fae is a zumpus.", + "chain_of_thought": [ + "Fae is a yumpus.", + "Fae is a sterpus.", + "Fae is a jompus.", + "Fae is a jompus and a sterpus and a yumpus.", + "Everything that is a jompus and a sterpus and a yumpus is a wumpus and a zumpus and a grimpus.", + "Fae is a wumpus and a zumpus and a grimpus.", + "Fae is a zumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is an impus, a lorpus, or a tumpus is a rompus. Wumpuses are rompuses. Everything that is an impus, a lorpus, or a tumpus is a shumpus. Each vumpus is a sterpus. Sam is a wumpus. Everything that is a sterpus or a lorpus or a brimpus is a jompus. Each grimpus is a shumpus. Sam is a wumpus, a sterpus, and a zumpus. Sam is a vumpus, Sam is a grimpus, and Sam is not a rompus.", + "query": "Prove: Sam is not a lorpus.", + "chain_of_thought": [ + "Sam is a vumpus and Sam is a grimpus and Sam is not a rompus.", + "Sam is not a rompus.\n\n", + "Assume Sam is a lorpus.", + "Sam is an impus or a lorpus or a tumpus.", + "Everything that is an impus, a lorpus, or a tumpus is a rompus.", + "Sam is a rompus.", + "This contradicts with Sam is not a rompus.", + "Sam is not a lorpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Everything that is a shumpus, a vumpus, or a jompus is an impus. Everything that is a lempus, a vumpus, or a yumpus is a zumpus and a brimpus and a grimpus. Brimpuses are dumpuses. Each zumpus is a lorpus. Everything that is a lempus, a vumpus, or a yumpus is a rompus. Sam is a rompus. Sam is a vumpus.", + "query": "Prove: Sam is a grimpus.", + "chain_of_thought": [ + "Sam is a vumpus.", + "Sam is a lempus, a vumpus, or a yumpus.", + "Everything that is a lempus, a vumpus, or a yumpus is a zumpus and a brimpus and a grimpus.", + "Sam is a zumpus, a brimpus, and a grimpus.", + "Sam is a grimpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a zumpus, a yumpus, or a brimpus is an impus. Tumpuses are sterpuses. Lempuses are rompuses. Everything that is a zumpus or a dumpus or a jompus is a rompus. Everything that is a zumpus or a dumpus or a jompus is a tumpus and a wumpus and a lempus. Max is a yumpus. Max is a zumpus.", + "query": "Prove: Max is a wumpus.", + "chain_of_thought": [ + "Max is a zumpus.", + "Max is a zumpus, a dumpus, or a jompus.", + "Everything that is a zumpus or a dumpus or a jompus is a tumpus and a wumpus and a lempus.", + "Max is a tumpus and a wumpus and a lempus.", + "Max is a wumpus." + ] + }, + "in_context_example5": { + "question": "Each zumpus is a tumpus. Every gorpus is a jompus. Every zumpus is a rompus and a sterpus and a dumpus. Gorpuses are lempuses. Wren is an impus. Lempuses are not rompuses. Each sterpus is a vumpus. Dumpuses are shumpuses. Lempuses are yumpuses. Impuses are rompuses. Wren is a brimpus. Wren is a gorpus.", + "query": "Prove: Wren is not a zumpus.", + "chain_of_thought": [ + "Wren is a gorpus.", + "Gorpuses are lempuses.", + "Wren is a lempus.", + "Lempuses are not rompuses.", + "Wren is not a rompus.\n\n", + "Assume Wren is a zumpus.", + "Every zumpus is a rompus and a sterpus and a dumpus.", + "Wren is a rompus and a sterpus and a dumpus.", + "Wren is a rompus.", + "This contradicts with Wren is not a rompus.", + "Wren is not a zumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Rex is a jompus. Rex is a lempus. Rex is a shumpus. Rompuses are brimpuses. Every gorpus is a lorpus. Everything that is a lempus and a yumpus and a sterpus is a lorpus. Everything that is a shumpus and a lempus and a jompus is a grimpus. Everything that is a lempus and a yumpus and a sterpus is a rompus, a gorpus, and a vumpus. Rex is a lempus. Rex is a zumpus. Rex is a yumpus. Rex is a sterpus.", + "query": "Prove: Rex is a vumpus.", + "chain_of_thought": [ + "Rex is a sterpus.", + "Rex is a yumpus.", + "Rex is a lempus.", + "Rex is a lempus and a yumpus and a sterpus.", + "Everything that is a lempus and a yumpus and a sterpus is a rompus, a gorpus, and a vumpus.", + "Rex is a rompus, a gorpus, and a vumpus.", + "Rex is a vumpus." + ] + }, + "in_context_example7": { + "question": "Every wumpus is a numpus. Polly is a zumpus. Polly is a numpus. Everything that is a yumpus, a lorpus, and a lempus is a wumpus, a brimpus, and a gorpus. Everything that is a numpus and a yumpus and a zumpus is an impus. Brimpuses are zumpuses. Everything that is a yumpus and a lorpus and a lempus is a rompus. Polly is a yumpus. Polly is a yumpus. Polly is a lorpus. Polly is a numpus. Polly is a lempus.", + "query": "Prove: Polly is a gorpus.", + "chain_of_thought": [ + "Polly is a lempus.", + "Polly is a lorpus.", + "Polly is a yumpus.", + "Polly is a yumpus, a lorpus, and a lempus.", + "Everything that is a yumpus, a lorpus, and a lempus is a wumpus, a brimpus, and a gorpus.", + "Polly is a wumpus and a brimpus and a gorpus.", + "Polly is a gorpus." + ] + }, + "test_example": { + "question": "Everything that is a gorpus and a brimpus and an impus is a vumpus. Everything that is a shumpus, a zumpus, or a yumpus is a lorpus. Stella is an impus. Stella is a brimpus. Everything that is a brimpus, a tumpus, and a sterpus is a shumpus. Stella is a gorpus. Everything that is a brimpus, a tumpus, and a sterpus is a lorpus. Stella is a brimpus. Stella is a lempus. Stella is a tumpus. Stella is a sterpus.", + "query": "Prove: Stella is a wumpus or a shumpus or a jompus.", + "chain_of_thought": [ + "Stella is a sterpus.", + "Stella is a tumpus.", + "Stella is a brimpus.", + "Stella is a brimpus and a tumpus and a sterpus.", + "Everything that is a brimpus, a tumpus, and a sterpus is a shumpus.", + "Stella is a shumpus.", + "Stella is a wumpus, a shumpus, or a jompus." + ] + } + }, + "example34": { + "in_context_example0": { + "question": "Stella is a sterpus. Shumpuses are numpuses. Everything that is a sterpus and a zumpus and a grimpus is a brimpus and a yumpus and a shumpus. Everything that is a sterpus and a zumpus and a grimpus is a numpus. Stella is a numpus. Everything that is a sterpus, a lempus, and a numpus is a rompus. Brimpuses are dumpuses. Stella is a lempus. Stella is a sterpus. Stella is a zumpus. Stella is a numpus. Stella is a grimpus.", + "query": "Prove: Stella is a yumpus.", + "chain_of_thought": [ + "Stella is a grimpus.", + "Stella is a zumpus.", + "Stella is a sterpus.", + "Stella is a sterpus, a zumpus, and a grimpus.", + "Everything that is a sterpus and a zumpus and a grimpus is a brimpus and a yumpus and a shumpus.", + "Stella is a brimpus, a yumpus, and a shumpus.", + "Stella is a yumpus." + ] + }, + "in_context_example1": { + "question": "Alex is a shumpus. Everything that is a numpus and a grimpus and a sterpus is a zumpus. Everything that is a numpus and a shumpus and a rompus is a vumpus. Alex is a numpus. Everything that is a numpus and a grimpus and a sterpus is a shumpus. Everything that is a zumpus, a vumpus, or a rompus is a yumpus. Alex is a rompus. Alex is a dumpus. Alex is a numpus. Alex is a grimpus. Alex is a sterpus.", + "query": "Prove: Alex is a wumpus or a zumpus or a brimpus.", + "chain_of_thought": [ + "Alex is a sterpus.", + "Alex is a grimpus.", + "Alex is a numpus.", + "Alex is a numpus, a grimpus, and a sterpus.", + "Everything that is a numpus and a grimpus and a sterpus is a zumpus.", + "Alex is a zumpus.", + "Alex is a wumpus or a zumpus or a brimpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a jompus, a brimpus, or a yumpus is an impus. Everything that is a lorpus, a jompus, or a wumpus is a lempus. Everything that is a lorpus or a jompus or a wumpus is a numpus. Every wumpus is a zumpus. Grimpuses are tumpuses. Sam is a sterpus, a numpus, and a brimpus. Sam is a jompus and a grimpus and a wumpus.", + "query": "Prove: Sam is a lempus.", + "chain_of_thought": [ + "Sam is a jompus and a grimpus and a wumpus.", + "Sam is a jompus.", + "Sam is a lorpus, a jompus, or a wumpus.", + "Everything that is a lorpus, a jompus, or a wumpus is a lempus.", + "Sam is a lempus." + ] + }, + "in_context_example3": { + "question": "Rex is a shumpus. Everything that is a shumpus and a rompus and a sterpus is a jompus. Rex is a sterpus. Everything that is a gorpus, a yumpus, or a brimpus is a shumpus. Every gorpus is a zumpus. Each grimpus is a lempus. Rex is a rompus. Everything that is a gorpus, a yumpus, or a brimpus is a dumpus. Every vumpus is not a lempus. Everything that is a yumpus, an impus, or a numpus is a lorpus. Rex is a jompus. Rex is a yumpus. Rex is a vumpus. Rex is a wumpus and a vumpus and a gorpus.", + "query": "Prove: Rex is a shumpus and Rex is not a grimpus and Rex is a zumpus.", + "chain_of_thought": [ + "Rex is a wumpus and a vumpus and a gorpus.", + "Rex is a gorpus.", + "Every gorpus is a zumpus.", + "Rex is a zumpus.", + "Rex is a vumpus.", + "Every vumpus is not a lempus.", + "Rex is not a lempus.\n\n", + "Assume Rex is a grimpus.", + "Each grimpus is a lempus.", + "Rex is a lempus.", + "This contradicts with Rex is not a lempus.", + "Rex is not a grimpus.\n\n", + "Rex is a yumpus.", + "Rex is a gorpus, a yumpus, or a brimpus.", + "Everything that is a gorpus, a yumpus, or a brimpus is a shumpus.", + "Rex is a shumpus.", + "Rex is a shumpus, Rex is not a grimpus, and Rex is a zumpus." + ] + }, + "in_context_example4": { + "question": "Fae is a lorpus. Everything that is a rompus, a wumpus, and a jompus is a lempus. Everything that is a lorpus, a rompus, and a shumpus is a numpus. Fae is a shumpus. Fae is a rompus. Sterpuses are lempuses. Everything that is a rompus and a wumpus and a jompus is a zumpus and a dumpus and a sterpus. Zumpuses are lorpuses. Fae is a yumpus. Fae is a rompus. Fae is a wumpus. Fae is a jompus.", + "query": "Prove: Fae is a dumpus.", + "chain_of_thought": [ + "Fae is a jompus.", + "Fae is a wumpus.", + "Fae is a rompus.", + "Fae is a rompus, a wumpus, and a jompus.", + "Everything that is a rompus and a wumpus and a jompus is a zumpus and a dumpus and a sterpus.", + "Fae is a zumpus and a dumpus and a sterpus.", + "Fae is a dumpus." + ] + }, + "in_context_example5": { + "question": "Zumpuses are yumpuses. Max is a rompus. Everything that is a rompus, a tumpus, and a dumpus is a grimpus. Lorpuses are tumpuses. Max is a tumpus. Everything that is a rompus and a vumpus and a lempus is a zumpus, a shumpus, and a lorpus. Max is a dumpus. Everything that is a rompus, a vumpus, and a lempus is a wumpus. Max is a rompus. Max is a sterpus. Max is a vumpus. Max is a lempus.", + "query": "Prove: Max is a shumpus.", + "chain_of_thought": [ + "Max is a lempus.", + "Max is a vumpus.", + "Max is a rompus.", + "Max is a rompus and a vumpus and a lempus.", + "Everything that is a rompus and a vumpus and a lempus is a zumpus, a shumpus, and a lorpus.", + "Max is a zumpus, a shumpus, and a lorpus.", + "Max is a shumpus." + ] + }, + "in_context_example6": { + "question": "Sam is a vumpus. Each jompus is a gorpus. Lorpuses are brimpuses. Each numpus is a lorpus, a jompus, and a dumpus. Every zumpus is a grimpus. Each vumpus is a dumpus. Every numpus is a lempus. Impuses are gorpuses. Sam is a brimpus and a gorpus and a vumpus. Sam is not a dumpus, Sam is a zumpus, and Sam is an impus.", + "query": "Prove: Sam is not a numpus.", + "chain_of_thought": [ + "Sam is not a dumpus and Sam is a zumpus and Sam is an impus.", + "Sam is not a dumpus.\n\n", + "Assume Sam is a numpus.", + "Each numpus is a lorpus, a jompus, and a dumpus.", + "Sam is a lorpus, a jompus, and a dumpus.", + "Sam is a dumpus.", + "This contradicts with Sam is not a dumpus.", + "Sam is not a numpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Vumpuses are dumpuses. Every brimpus is a grimpus. Lempuses are impuses. Lempuses are jompuses. Jompuses are wumpuses. Alex is a jompus. Each lorpus is a grimpus. Brimpuses are wumpuses and vumpuses and lempuses. Alex is a zumpus and a tumpus and a shumpus. Alex is a lempus and Alex is not a wumpus and Alex is a lorpus.", + "query": "Prove: Alex is not a brimpus.", + "chain_of_thought": [ + "Alex is a lempus and Alex is not a wumpus and Alex is a lorpus.", + "Alex is not a wumpus.\n\n", + "Assume Alex is a brimpus.", + "Brimpuses are wumpuses and vumpuses and lempuses.", + "Alex is a wumpus and a vumpus and a lempus.", + "Alex is a wumpus.", + "This contradicts with Alex is not a wumpus.", + "Alex is not a brimpus.\n\n" + ] + }, + "test_example": { + "question": "Gorpuses are lempuses, jompuses, and tumpuses. Everything that is a yumpus, a jompus, or a vumpus is a sterpus. Lempuses are shumpuses. Every tumpus is a lorpus. Gorpuses are shumpuses. Rex is a numpus. Rex is a gorpus.", + "query": "Prove: Rex is a jompus, a tumpus, or a zumpus.", + "chain_of_thought": [ + "Rex is a gorpus.", + "Gorpuses are lempuses, jompuses, and tumpuses.", + "Rex is a lempus, a jompus, and a tumpus.", + "Rex is a jompus.", + "Rex is a jompus or a tumpus or a zumpus." + ] + } + }, + "example35": { + "in_context_example0": { + "question": "Everything that is a lorpus and a yumpus and a grimpus is a zumpus. Each vumpus is an impus. Everything that is a lorpus, a shumpus, and a zumpus is a tumpus. Everything that is a lorpus and a yumpus and a grimpus is a lempus, a vumpus, and a sterpus. Sally is a shumpus. Sally is a lorpus. Sally is a zumpus. Each lempus is a shumpus. Sally is a lorpus. Sally is a gorpus. Sally is a yumpus. Sally is a grimpus.", + "query": "Prove: Sally is a sterpus.", + "chain_of_thought": [ + "Sally is a grimpus.", + "Sally is a yumpus.", + "Sally is a lorpus.", + "Sally is a lorpus and a yumpus and a grimpus.", + "Everything that is a lorpus and a yumpus and a grimpus is a lempus, a vumpus, and a sterpus.", + "Sally is a lempus and a vumpus and a sterpus.", + "Sally is a sterpus." + ] + }, + "in_context_example1": { + "question": "Wren is a grimpus. Wren is an impus. Everything that is a wumpus, an impus, and a grimpus is a lempus. Every wumpus is a yumpus. Each rompus is a lempus. Everything that is an impus, a lorpus, and a vumpus is a zumpus. Wren is a wumpus. Everything that is an impus and a lorpus and a vumpus is a yumpus. Gorpuses are dumpuses. Wren is a tumpus, a dumpus, and a jompus. Wren is not a yumpus, Wren is a rompus, and Wren is a gorpus. Wren is an impus. Wren is a lorpus.", + "query": "Prove: Wren is not a vumpus.", + "chain_of_thought": [ + "Wren is not a yumpus and Wren is a rompus and Wren is a gorpus.", + "Wren is not a yumpus.\n\n", + "Assume Wren is a vumpus.", + "Wren is a lorpus.", + "Wren is an impus.", + "Wren is an impus, a lorpus, and a vumpus.", + "Everything that is an impus and a lorpus and a vumpus is a yumpus.", + "Wren is a yumpus.", + "This contradicts with Wren is not a yumpus.", + "Wren is not a vumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Each shumpus is a vumpus. Everything that is a brimpus or a sterpus or a gorpus is a zumpus. Tumpuses are rompuses. Everything that is a brimpus or a sterpus or a gorpus is a shumpus, a grimpus, and a tumpus. Everything that is a brimpus, a lempus, or a rompus is a numpus. Sam is a wumpus. Sam is a brimpus.", + "query": "Prove: Sam is a grimpus.", + "chain_of_thought": [ + "Sam is a brimpus.", + "Sam is a brimpus, a sterpus, or a gorpus.", + "Everything that is a brimpus or a sterpus or a gorpus is a shumpus, a grimpus, and a tumpus.", + "Sam is a shumpus and a grimpus and a tumpus.", + "Sam is a grimpus." + ] + }, + "in_context_example3": { + "question": "Each wumpus is a jompus. Each yumpus is an impus. Zumpuses are wumpuses and yumpuses and vumpuses. Zumpuses are sterpuses. Everything that is an impus or a vumpus or a jompus is a numpus. Alex is a dumpus. Alex is a zumpus.", + "query": "Prove: Alex is a rompus or a vumpus or a grimpus.", + "chain_of_thought": [ + "Alex is a zumpus.", + "Zumpuses are wumpuses and yumpuses and vumpuses.", + "Alex is a wumpus and a yumpus and a vumpus.", + "Alex is a vumpus.", + "Alex is a rompus, a vumpus, or a grimpus." + ] + }, + "in_context_example4": { + "question": "Each shumpus is a vumpus and a zumpus and a rompus. Shumpuses are sterpuses. Everything that is a grimpus, a vumpus, or a wumpus is a sterpus. Every zumpus is a dumpus. Rompuses are wumpuses. Polly is a sterpus. Polly is a shumpus.", + "query": "Prove: Polly is a numpus, a vumpus, or a jompus.", + "chain_of_thought": [ + "Polly is a shumpus.", + "Each shumpus is a vumpus and a zumpus and a rompus.", + "Polly is a vumpus, a zumpus, and a rompus.", + "Polly is a vumpus.", + "Polly is a numpus or a vumpus or a jompus." + ] + }, + "in_context_example5": { + "question": "Everything that is a grimpus, a zumpus, or a shumpus is a lempus. Tumpuses are jompuses. Everything that is a grimpus, a zumpus, or a shumpus is a gorpus and a tumpus and a wumpus. Gorpuses are yumpuses. Everything that is a vumpus, a zumpus, or a rompus is a lorpus. Alex is an impus. Alex is a zumpus.", + "query": "Prove: Alex is a wumpus.", + "chain_of_thought": [ + "Alex is a zumpus.", + "Alex is a grimpus or a zumpus or a shumpus.", + "Everything that is a grimpus, a zumpus, or a shumpus is a gorpus and a tumpus and a wumpus.", + "Alex is a gorpus and a tumpus and a wumpus.", + "Alex is a wumpus." + ] + }, + "in_context_example6": { + "question": "Gorpuses are jompuses. Lorpuses are rompuses. Zumpuses are tumpuses. Vumpuses are numpuses. Every grimpus is a gorpus. Stella is a gorpus. Every brimpus is a lorpus, a zumpus, and a jompus. Each brimpus is a dumpus. Stella is a yumpus and a dumpus and a rompus. Stella is a vumpus and Stella is not a jompus and Stella is a grimpus.", + "query": "Prove: Stella is not a brimpus.", + "chain_of_thought": [ + "Stella is a vumpus and Stella is not a jompus and Stella is a grimpus.", + "Stella is not a jompus.\n\n", + "Assume Stella is a brimpus.", + "Every brimpus is a lorpus, a zumpus, and a jompus.", + "Stella is a lorpus and a zumpus and a jompus.", + "Stella is a jompus.", + "This contradicts with Stella is not a jompus.", + "Stella is not a brimpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Everything that is a brimpus, a shumpus, or a lempus is a numpus. Everything that is a brimpus or a shumpus or a lempus is a yumpus. Fae is a lorpus. Everything that is a jompus or a vumpus or a gorpus is not a numpus. Each lorpus is a numpus. Everything that is an impus or a vumpus or a dumpus is a sterpus. Everything that is a jompus or a vumpus or a gorpus is a rompus. Everything that is a lempus, a zumpus, or a dumpus is a grimpus. Fae is a tumpus. Fae is a vumpus.", + "query": "Prove: Fae is not a lempus.", + "chain_of_thought": [ + "Fae is a vumpus.", + "Fae is a jompus, a vumpus, or a gorpus.", + "Everything that is a jompus or a vumpus or a gorpus is not a numpus.", + "Fae is not a numpus.\n\n", + "Assume Fae is a lempus.", + "Fae is a brimpus or a shumpus or a lempus.", + "Everything that is a brimpus, a shumpus, or a lempus is a numpus.", + "Fae is a numpus.", + "This contradicts with Fae is not a numpus.", + "Fae is not a lempus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a gorpus, a lorpus, and a vumpus is a yumpus. Numpuses are lempuses. Everything that is a gorpus and a sterpus and a shumpus is a wumpus. Sally is a lorpus. Sally is a gorpus. Everything that is a gorpus, a sterpus, and a shumpus is a jompus and a numpus and a rompus. Each jompus is a wumpus. Sally is a vumpus. Sally is a lorpus. Sally is a gorpus. Sally is a sterpus. Sally is a shumpus.", + "query": "Prove: Sally is a rompus.", + "chain_of_thought": [ + "Sally is a shumpus.", + "Sally is a sterpus.", + "Sally is a gorpus.", + "Sally is a gorpus and a sterpus and a shumpus.", + "Everything that is a gorpus, a sterpus, and a shumpus is a jompus and a numpus and a rompus.", + "Sally is a jompus and a numpus and a rompus.", + "Sally is a rompus." + ] + } + }, + "example36": { + "in_context_example0": { + "question": "Wumpuses are rompuses. Every lempus is a jompus. Lempuses are shumpuses, wumpuses, and gorpuses. Every grimpus is a lorpus. Vumpuses are gorpuses. Every shumpus is a yumpus. Rex is a vumpus. Numpuses are tumpuses. Rex is a vumpus, a tumpus, and a rompus. Rex is a numpus, Rex is a grimpus, and Rex is not a gorpus.", + "query": "Prove: Rex is not a lempus.", + "chain_of_thought": [ + "Rex is a numpus, Rex is a grimpus, and Rex is not a gorpus.", + "Rex is not a gorpus.\n\n", + "Assume Rex is a lempus.", + "Lempuses are shumpuses, wumpuses, and gorpuses.", + "Rex is a shumpus, a wumpus, and a gorpus.", + "Rex is a gorpus.", + "This contradicts with Rex is not a gorpus.", + "Rex is not a lempus.\n\n" + ] + }, + "in_context_example1": { + "question": "Each sterpus is a dumpus. Every sterpus is a numpus, a yumpus, and a gorpus. Every yumpus is a shumpus. Everything that is a rompus or a gorpus or a shumpus is a dumpus. Each numpus is a wumpus. Stella is a vumpus. Stella is a sterpus.", + "query": "Prove: Stella is a zumpus or a gorpus or a tumpus.", + "chain_of_thought": [ + "Stella is a sterpus.", + "Every sterpus is a numpus, a yumpus, and a gorpus.", + "Stella is a numpus, a yumpus, and a gorpus.", + "Stella is a gorpus.", + "Stella is a zumpus, a gorpus, or a tumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a rompus or a sterpus or a shumpus is a gorpus. Everything that is a rompus or a sterpus or a shumpus is a dumpus and a zumpus and a jompus. Jompuses are numpuses. Zumpuses are grimpuses. Everything that is a rompus or an impus or a lempus is a vumpus. Stella is a numpus. Stella is a rompus.", + "query": "Prove: Stella is a dumpus.", + "chain_of_thought": [ + "Stella is a rompus.", + "Stella is a rompus, a sterpus, or a shumpus.", + "Everything that is a rompus or a sterpus or a shumpus is a dumpus and a zumpus and a jompus.", + "Stella is a dumpus, a zumpus, and a jompus.", + "Stella is a dumpus." + ] + }, + "in_context_example3": { + "question": "Sally is a lempus. Everything that is a yumpus and a dumpus and a lempus is an impus. Sally is a dumpus. Sally is a yumpus. Each jompus is a yumpus. Everything that is a dumpus and a rompus and a wumpus is a gorpus, a grimpus, and a jompus. Everything that is a dumpus, a rompus, and a wumpus is a yumpus. Gorpuses are shumpuses. Sally is a brimpus. Sally is a dumpus. Sally is a rompus. Sally is a wumpus.", + "query": "Prove: Sally is a grimpus.", + "chain_of_thought": [ + "Sally is a wumpus.", + "Sally is a rompus.", + "Sally is a dumpus.", + "Sally is a dumpus and a rompus and a wumpus.", + "Everything that is a dumpus and a rompus and a wumpus is a gorpus, a grimpus, and a jompus.", + "Sally is a gorpus, a grimpus, and a jompus.", + "Sally is a grimpus." + ] + }, + "in_context_example4": { + "question": "Each zumpus is a yumpus. Everything that is a grimpus, a vumpus, or a zumpus is a lempus. Everything that is a grimpus, a vumpus, or a zumpus is a tumpus. Rompuses are gorpuses. Everything that is a vumpus or a shumpus or a tumpus is a sterpus. Rex is a numpus, a jompus, and an impus. Rex is a zumpus and a rompus and a vumpus.", + "query": "Prove: Rex is a lempus.", + "chain_of_thought": [ + "Rex is a zumpus and a rompus and a vumpus.", + "Rex is a vumpus.", + "Rex is a grimpus or a vumpus or a zumpus.", + "Everything that is a grimpus, a vumpus, or a zumpus is a lempus.", + "Rex is a lempus." + ] + }, + "in_context_example5": { + "question": "Lempuses are grimpuses. Every zumpus is a dumpus. Everything that is a brimpus, a lorpus, or a wumpus is a numpus. Yumpuses are zumpuses, lempuses, and lorpuses. Each yumpus is a grimpus. Sally is a wumpus. Sally is a yumpus.", + "query": "Prove: Sally is a tumpus, a lorpus, or an impus.", + "chain_of_thought": [ + "Sally is a yumpus.", + "Yumpuses are zumpuses, lempuses, and lorpuses.", + "Sally is a zumpus and a lempus and a lorpus.", + "Sally is a lorpus.", + "Sally is a tumpus or a lorpus or an impus." + ] + }, + "in_context_example6": { + "question": "Alex is a jompus. Each gorpus is a yumpus, a lempus, and a brimpus. Brimpuses are wumpuses. Gorpuses are tumpuses. Rompuses are zumpuses. Each rompus is not a lempus. Dumpuses are rompuses. Yumpuses are lorpuses. Each dumpus is a wumpus. Every jompus is a lempus. Alex is a lorpus. Alex is a dumpus.", + "query": "Prove: Alex is not a gorpus.", + "chain_of_thought": [ + "Alex is a dumpus.", + "Dumpuses are rompuses.", + "Alex is a rompus.", + "Each rompus is not a lempus.", + "Alex is not a lempus.\n\n", + "Assume Alex is a gorpus.", + "Each gorpus is a yumpus, a lempus, and a brimpus.", + "Alex is a yumpus, a lempus, and a brimpus.", + "Alex is a lempus.", + "This contradicts with Alex is not a lempus.", + "Alex is not a gorpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Sally is a lorpus. Everything that is a lorpus and a dumpus and a zumpus is a rompus. Everything that is a lorpus, a dumpus, and a zumpus is a yumpus and a shumpus and an impus. Yumpuses are tumpuses. Everything that is a brimpus and a lorpus and a gorpus is a wumpus. Every shumpus is a rompus. Sally is a brimpus. Sally is a gorpus. Sally is a lorpus. Sally is a dumpus. Sally is a grimpus. Sally is a zumpus.", + "query": "Prove: Sally is an impus.", + "chain_of_thought": [ + "Sally is a zumpus.", + "Sally is a dumpus.", + "Sally is a lorpus.", + "Sally is a lorpus, a dumpus, and a zumpus.", + "Everything that is a lorpus, a dumpus, and a zumpus is a yumpus and a shumpus and an impus.", + "Sally is a yumpus and a shumpus and an impus.", + "Sally is an impus." + ] + }, + "test_example": { + "question": "Rompuses are impuses and jompuses and zumpuses. Each numpus is a lorpus. Every lempus is an impus. Every jompus is a vumpus. Zumpuses are wumpuses. Stella is a lempus. Rompuses are yumpuses. Lorpuses are sterpuses. Each lorpus is not an impus. Numpuses are shumpuses. Stella is a dumpus. Stella is a numpus.", + "query": "Prove: Stella is not a rompus.", + "chain_of_thought": [ + "Stella is a numpus.", + "Each numpus is a lorpus.", + "Stella is a lorpus.", + "Each lorpus is not an impus.", + "Stella is not an impus.\n\n", + "Assume Stella is a rompus.", + "Rompuses are impuses and jompuses and zumpuses.", + "Stella is an impus, a jompus, and a zumpus.", + "Stella is an impus.", + "This contradicts with Stella is not an impus.", + "Stella is not a rompus.\n\n" + ] + } + }, + "example37": { + "in_context_example0": { + "question": "Each wumpus is a tumpus. Each impus is a lorpus. Dumpuses are grimpuses. Each zumpus is a yumpus. Sally is an impus. Jompuses are yumpuses. Brimpuses are dumpuses, zumpuses, and lorpuses. Every brimpus is a shumpus. Sally is a yumpus and a lempus and a tumpus. Sally is a jompus and Sally is not a lorpus and Sally is a wumpus.", + "query": "Prove: Sally is not a brimpus.", + "chain_of_thought": [ + "Sally is a jompus and Sally is not a lorpus and Sally is a wumpus.", + "Sally is not a lorpus.\n\n", + "Assume Sally is a brimpus.", + "Brimpuses are dumpuses, zumpuses, and lorpuses.", + "Sally is a dumpus, a zumpus, and a lorpus.", + "Sally is a lorpus.", + "This contradicts with Sally is not a lorpus.", + "Sally is not a brimpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Stella is a lempus. Everything that is a brimpus, a sterpus, or a dumpus is a numpus. Everything that is a wumpus, a rompus, and a jompus is a sterpus. Everything that is a wumpus and a rompus and a jompus is a shumpus. Stella is a yumpus. Everything that is a yumpus, a wumpus, and a lempus is a numpus. Stella is a wumpus. Stella is a wumpus. Stella is a tumpus. Stella is a rompus. Stella is a jompus.", + "query": "Prove: Stella is a sterpus or a vumpus or a grimpus.", + "chain_of_thought": [ + "Stella is a jompus.", + "Stella is a rompus.", + "Stella is a wumpus.", + "Stella is a wumpus, a rompus, and a jompus.", + "Everything that is a wumpus, a rompus, and a jompus is a sterpus.", + "Stella is a sterpus.", + "Stella is a sterpus, a vumpus, or a grimpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a sterpus, a numpus, or a gorpus is an impus. Every rompus is a grimpus. Yumpuses are brimpuses. Every wumpus is a sterpus and a yumpus and a rompus. Each wumpus is an impus. Polly is a zumpus. Polly is a wumpus.", + "query": "Prove: Polly is a vumpus, a dumpus, or a sterpus.", + "chain_of_thought": [ + "Polly is a wumpus.", + "Every wumpus is a sterpus and a yumpus and a rompus.", + "Polly is a sterpus and a yumpus and a rompus.", + "Polly is a sterpus.", + "Polly is a vumpus or a dumpus or a sterpus." + ] + }, + "in_context_example3": { + "question": "Every brimpus is a lorpus and a vumpus and a yumpus. Every lempus is a vumpus. Sterpuses are gorpuses. Yumpuses are grimpuses. Lorpuses are gorpuses. Brimpuses are dumpuses. Shumpuses are wumpuses. Sam is a lempus. Sam is a wumpus, a lempus, and a gorpus. Sam is not a vumpus and Sam is a sterpus and Sam is a shumpus.", + "query": "Prove: Sam is not a brimpus.", + "chain_of_thought": [ + "Sam is not a vumpus, Sam is a sterpus, and Sam is a shumpus.", + "Sam is not a vumpus.\n\n", + "Assume Sam is a brimpus.", + "Every brimpus is a lorpus and a vumpus and a yumpus.", + "Sam is a lorpus, a vumpus, and a yumpus.", + "Sam is a vumpus.", + "This contradicts with Sam is not a vumpus.", + "Sam is not a brimpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Every grimpus is a lorpus. Sterpuses are wumpuses. Everything that is a dumpus, a zumpus, or a lempus is a sterpus. Everything that is a lempus or a rompus or a yumpus is a tumpus. Everything that is a dumpus, a zumpus, or a lempus is an impus. Alex is a gorpus and a tumpus and a rompus. Alex is a sterpus, a lempus, and a grimpus.", + "query": "Prove: Alex is a sterpus.", + "chain_of_thought": [ + "Alex is a sterpus, a lempus, and a grimpus.", + "Alex is a lempus.", + "Alex is a dumpus, a zumpus, or a lempus.", + "Everything that is a dumpus, a zumpus, or a lempus is a sterpus.", + "Alex is a sterpus." + ] + }, + "in_context_example5": { + "question": "Sam is a tumpus. Numpuses are grimpuses. Everything that is a zumpus or a jompus or a gorpus is a brimpus. Everything that is a tumpus, a zumpus, or a brimpus is a dumpus. Everything that is a tumpus, a shumpus, and a yumpus is a brimpus. Sam is a yumpus. Everything that is a zumpus, a jompus, or a gorpus is a shumpus. Sterpuses are rompuses. Sam is a shumpus. Sam is a zumpus. Sam is a yumpus. Sam is a lempus and Sam is not a grimpus and Sam is an impus. Sam is a lorpus and a shumpus and a sterpus.", + "query": "Prove: Sam is a shumpus, Sam is not a numpus, and Sam is a rompus.", + "chain_of_thought": [ + "Sam is a lorpus and a shumpus and a sterpus.", + "Sam is a sterpus.", + "Sterpuses are rompuses.", + "Sam is a rompus.", + "Sam is a lempus and Sam is not a grimpus and Sam is an impus.", + "Sam is not a grimpus.\n\n", + "Assume Sam is a numpus.", + "Numpuses are grimpuses.", + "Sam is a grimpus.", + "This contradicts with Sam is not a grimpus.", + "Sam is not a numpus.\n\n", + "Sam is a zumpus.", + "Sam is a zumpus, a jompus, or a gorpus.", + "Everything that is a zumpus, a jompus, or a gorpus is a shumpus.", + "Sam is a shumpus.", + "Sam is a shumpus, Sam is not a numpus, and Sam is a rompus." + ] + }, + "in_context_example6": { + "question": "Everything that is a shumpus or a dumpus or a jompus is a yumpus. Rompuses are sterpuses. Lorpuses are numpuses. Every grimpus is a vumpus. Lorpuses are shumpuses, rompuses, and grimpuses. Stella is a zumpus. Stella is a lorpus.", + "query": "Prove: Stella is a rompus, a gorpus, or a shumpus.", + "chain_of_thought": [ + "Stella is a lorpus.", + "Lorpuses are shumpuses, rompuses, and grimpuses.", + "Stella is a shumpus and a rompus and a grimpus.", + "Stella is a shumpus.", + "Stella is a rompus, a gorpus, or a shumpus." + ] + }, + "in_context_example7": { + "question": "Rex is a lempus. Everything that is a tumpus and a gorpus and a rompus is an impus. Rex is a shumpus. Everything that is a tumpus, a gorpus, and a rompus is a wumpus and a dumpus and a brimpus. Rex is a tumpus. Each dumpus is a vumpus. Each brimpus is a grimpus. Everything that is a tumpus, a lempus, and a shumpus is a lorpus. Rex is a tumpus. Rex is a lorpus. Rex is a gorpus. Rex is a rompus.", + "query": "Prove: Rex is a wumpus.", + "chain_of_thought": [ + "Rex is a rompus.", + "Rex is a gorpus.", + "Rex is a tumpus.", + "Rex is a tumpus and a gorpus and a rompus.", + "Everything that is a tumpus, a gorpus, and a rompus is a wumpus and a dumpus and a brimpus.", + "Rex is a wumpus and a dumpus and a brimpus.", + "Rex is a wumpus." + ] + }, + "test_example": { + "question": "Max is a lorpus. Everything that is an impus or a grimpus or a vumpus is not a lempus. Jompuses are rompuses. Lorpuses are lempuses. Everything that is an impus or a grimpus or a vumpus is a brimpus. Every jompus is a numpus and a lempus and a sterpus. Every numpus is a wumpus. Everything that is a yumpus, a grimpus, or a gorpus is a shumpus. Each sterpus is a rompus. Max is a gorpus. Max is a grimpus.", + "query": "Prove: Max is not a jompus.", + "chain_of_thought": [ + "Max is a grimpus.", + "Max is an impus or a grimpus or a vumpus.", + "Everything that is an impus or a grimpus or a vumpus is not a lempus.", + "Max is not a lempus.\n\n", + "Assume Max is a jompus.", + "Every jompus is a numpus and a lempus and a sterpus.", + "Max is a numpus, a lempus, and a sterpus.", + "Max is a lempus.", + "This contradicts with Max is not a lempus.", + "Max is not a jompus.\n\n" + ] + } + }, + "example38": { + "in_context_example0": { + "question": "Everything that is a grimpus and a zumpus and a gorpus is a numpus. Everything that is a grimpus, a dumpus, and an impus is a lempus. Tumpuses are brimpuses. Lempuses are rompuses. Each impus is a vumpus. Wren is a grimpus. Every sterpus is a wumpus. Wren is a zumpus. Wren is a gorpus. Each sterpus is a tumpus and an impus and a rompus. Everything that is a grimpus, a dumpus, and an impus is not a rompus. Wren is a lempus. Wren is a grimpus. Wren is a dumpus. Wren is a wumpus. Wren is an impus.", + "query": "Prove: Wren is not a sterpus.", + "chain_of_thought": [ + "Wren is an impus.", + "Wren is a dumpus.", + "Wren is a grimpus.", + "Wren is a grimpus and a dumpus and an impus.", + "Everything that is a grimpus, a dumpus, and an impus is not a rompus.", + "Wren is not a rompus.\n\n", + "Assume Wren is a sterpus.", + "Each sterpus is a tumpus and an impus and a rompus.", + "Wren is a tumpus and an impus and a rompus.", + "Wren is a rompus.", + "This contradicts with Wren is not a rompus.", + "Wren is not a sterpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Each rompus is a lorpus. Each shumpus is a lempus. Every shumpus is a zumpus. Each impus is a dumpus. Each brimpus is a gorpus. Every zumpus is a grimpus. Sterpuses are impuses. Sterpuses are brimpuses and rompuses and dumpuses. Each zumpus is not a dumpus. Sam is an impus. Sam is a grimpus. Sam is a shumpus.", + "query": "Prove: Sam is not a sterpus.", + "chain_of_thought": [ + "Sam is a shumpus.", + "Every shumpus is a zumpus.", + "Sam is a zumpus.", + "Each zumpus is not a dumpus.", + "Sam is not a dumpus.\n\n", + "Assume Sam is a sterpus.", + "Sterpuses are brimpuses and rompuses and dumpuses.", + "Sam is a brimpus, a rompus, and a dumpus.", + "Sam is a dumpus.", + "This contradicts with Sam is not a dumpus.", + "Sam is not a sterpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a wumpus, a tumpus, or a dumpus is a shumpus. Each brimpus is a shumpus. Everything that is a grimpus or a wumpus or a lempus is a brimpus, a sterpus, and a lorpus. Everything that is a grimpus, a wumpus, or a lempus is a numpus. Sterpuses are jompuses. Max is a vumpus. Max is a wumpus.", + "query": "Prove: Max is a lorpus.", + "chain_of_thought": [ + "Max is a wumpus.", + "Max is a grimpus, a wumpus, or a lempus.", + "Everything that is a grimpus or a wumpus or a lempus is a brimpus, a sterpus, and a lorpus.", + "Max is a brimpus, a sterpus, and a lorpus.", + "Max is a lorpus." + ] + }, + "in_context_example3": { + "question": "Every lorpus is a grimpus. Rex is an impus. Every vumpus is a tumpus. Jompuses are yumpuses. Zumpuses are tumpuses. Each dumpus is a jompus, a zumpus, and a wumpus. Each impus is a wumpus. Dumpuses are impuses. Rex is a grimpus and a brimpus and a sterpus. Rex is a vumpus and Rex is a lorpus and Rex is not a wumpus.", + "query": "Prove: Rex is not a dumpus.", + "chain_of_thought": [ + "Rex is a vumpus, Rex is a lorpus, and Rex is not a wumpus.", + "Rex is not a wumpus.\n\n", + "Assume Rex is a dumpus.", + "Each dumpus is a jompus, a zumpus, and a wumpus.", + "Rex is a jompus and a zumpus and a wumpus.", + "Rex is a wumpus.", + "This contradicts with Rex is not a wumpus.", + "Rex is not a dumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Shumpuses are dumpuses. Max is a yumpus. Every tumpus is a grimpus. Max is a grimpus. Everything that is a yumpus, a zumpus, and a sterpus is a shumpus, a tumpus, and a rompus. Everything that is a yumpus and a grimpus and a jompus is a wumpus. Everything that is a yumpus and a zumpus and a sterpus is a brimpus. Max is a jompus. Max is a yumpus. Max is a zumpus. Max is an impus. Max is a sterpus.", + "query": "Prove: Max is a rompus.", + "chain_of_thought": [ + "Max is a sterpus.", + "Max is a zumpus.", + "Max is a yumpus.", + "Max is a yumpus, a zumpus, and a sterpus.", + "Everything that is a yumpus, a zumpus, and a sterpus is a shumpus, a tumpus, and a rompus.", + "Max is a shumpus and a tumpus and a rompus.", + "Max is a rompus." + ] + }, + "in_context_example5": { + "question": "Every lorpus is a grimpus. Everything that is a numpus, a dumpus, or a brimpus is an impus. Shumpuses are zumpuses. Everything that is a dumpus, a wumpus, or a jompus is an impus. Everything that is a dumpus or a wumpus or a jompus is a rompus, a shumpus, and a lorpus. Wren is a lempus. Wren is a dumpus.", + "query": "Prove: Wren is a rompus.", + "chain_of_thought": [ + "Wren is a dumpus.", + "Wren is a dumpus, a wumpus, or a jompus.", + "Everything that is a dumpus or a wumpus or a jompus is a rompus, a shumpus, and a lorpus.", + "Wren is a rompus, a shumpus, and a lorpus.", + "Wren is a rompus." + ] + }, + "in_context_example6": { + "question": "Everything that is a gorpus or a numpus or a brimpus is a jompus. Each grimpus is an impus. Everything that is a gorpus or a lorpus or a wumpus is not a lempus. Everything that is a gorpus or a lorpus or a wumpus is a vumpus. Numpuses are lempuses. Zumpuses are impuses. Grimpuses are tumpuses and zumpuses and lempuses. Tumpuses are numpuses. Sam is a numpus. Sam is a jompus. Sam is a gorpus.", + "query": "Prove: Sam is not a grimpus.", + "chain_of_thought": [ + "Sam is a gorpus.", + "Sam is a gorpus or a lorpus or a wumpus.", + "Everything that is a gorpus or a lorpus or a wumpus is not a lempus.", + "Sam is not a lempus.\n\n", + "Assume Sam is a grimpus.", + "Grimpuses are tumpuses and zumpuses and lempuses.", + "Sam is a tumpus and a zumpus and a lempus.", + "Sam is a lempus.", + "This contradicts with Sam is not a lempus.", + "Sam is not a grimpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Everything that is a lorpus, a jompus, or a rompus is a tumpus. Each impus is a dumpus. Impuses are yumpuses and lorpuses and numpuses. Numpuses are vumpuses. Yumpuses are gorpuses. Sally is a vumpus. Sally is an impus.", + "query": "Prove: Sally is a brimpus, a grimpus, or a lorpus.", + "chain_of_thought": [ + "Sally is an impus.", + "Impuses are yumpuses and lorpuses and numpuses.", + "Sally is a yumpus and a lorpus and a numpus.", + "Sally is a lorpus.", + "Sally is a brimpus, a grimpus, or a lorpus." + ] + }, + "test_example": { + "question": "Every impus is a jompus. Everything that is a sterpus or a brimpus or a shumpus is a dumpus and a wumpus and an impus. Wumpuses are tumpuses. Everything that is a rompus or a sterpus or a zumpus is a lorpus. Everything that is a sterpus, a brimpus, or a shumpus is a yumpus. Sally is a numpus. Sally is a sterpus.", + "query": "Prove: Sally is a dumpus.", + "chain_of_thought": [ + "Sally is a sterpus.", + "Sally is a sterpus or a brimpus or a shumpus.", + "Everything that is a sterpus or a brimpus or a shumpus is a dumpus and a wumpus and an impus.", + "Sally is a dumpus, a wumpus, and an impus.", + "Sally is a dumpus." + ] + } + }, + "example39": { + "in_context_example0": { + "question": "Every brimpus is a vumpus. Each tumpus is a shumpus. Every lempus is a vumpus. Everything that is a sterpus or a shumpus or a vumpus is a wumpus. Lempuses are tumpuses and brimpuses and sterpuses. Alex is a lorpus. Alex is a lempus.", + "query": "Prove: Alex is a gorpus, a sterpus, or a numpus.", + "chain_of_thought": [ + "Alex is a lempus.", + "Lempuses are tumpuses and brimpuses and sterpuses.", + "Alex is a tumpus and a brimpus and a sterpus.", + "Alex is a sterpus.", + "Alex is a gorpus or a sterpus or a numpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a wumpus, a zumpus, or a brimpus is a grimpus. Vumpuses are rompuses. Impuses are rompuses. Every tumpus is a grimpus. Every vumpus is a zumpus and an impus and a tumpus. Sally is a lorpus. Sally is a vumpus.", + "query": "Prove: Sally is a gorpus, a zumpus, or a dumpus.", + "chain_of_thought": [ + "Sally is a vumpus.", + "Every vumpus is a zumpus and an impus and a tumpus.", + "Sally is a zumpus, an impus, and a tumpus.", + "Sally is a zumpus.", + "Sally is a gorpus or a zumpus or a dumpus." + ] + }, + "in_context_example2": { + "question": "Every dumpus is a sterpus. Each impus is a grimpus. Every wumpus is a tumpus. Every impus is a dumpus, a rompus, and a wumpus. Everything that is a grimpus or a rompus or a lempus is a shumpus. Sam is a grimpus. Sam is an impus.", + "query": "Prove: Sam is a brimpus or a rompus or a lorpus.", + "chain_of_thought": [ + "Sam is an impus.", + "Every impus is a dumpus, a rompus, and a wumpus.", + "Sam is a dumpus, a rompus, and a wumpus.", + "Sam is a rompus.", + "Sam is a brimpus, a rompus, or a lorpus." + ] + }, + "in_context_example3": { + "question": "Gorpuses are vumpuses. Rompuses are tumpuses. Every wumpus is a tumpus. Rompuses are not numpuses. Every jompus is an impus. Alex is a grimpus. Every gorpus is a brimpus, a wumpus, and a numpus. Jompuses are rompuses. Each grimpus is a numpus. Brimpuses are impuses. Alex is a zumpus. Alex is a jompus.", + "query": "Prove: Alex is not a gorpus.", + "chain_of_thought": [ + "Alex is a jompus.", + "Jompuses are rompuses.", + "Alex is a rompus.", + "Rompuses are not numpuses.", + "Alex is not a numpus.\n\n", + "Assume Alex is a gorpus.", + "Every gorpus is a brimpus, a wumpus, and a numpus.", + "Alex is a brimpus and a wumpus and a numpus.", + "Alex is a numpus.", + "This contradicts with Alex is not a numpus.", + "Alex is not a gorpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Each wumpus is a numpus. Every numpus is a grimpus. Every wumpus is not a grimpus. Shumpuses are lempuses. Every lorpus is a sterpus. Each brimpus is a jompus. Gorpuses are jompuses. Every lorpus is a rompus. Brimpuses are grimpuses, lorpuses, and shumpuses. Sally is a numpus. Sally is a numpus, a vumpus, and a sterpus. Sally is a gorpus and a lorpus and a wumpus.", + "query": "Prove: Sally is not a brimpus.", + "chain_of_thought": [ + "Sally is a gorpus and a lorpus and a wumpus.", + "Sally is a wumpus.", + "Every wumpus is not a grimpus.", + "Sally is not a grimpus.\n\n", + "Assume Sally is a brimpus.", + "Brimpuses are grimpuses, lorpuses, and shumpuses.", + "Sally is a grimpus, a lorpus, and a shumpus.", + "Sally is a grimpus.", + "This contradicts with Sally is not a grimpus.", + "Sally is not a brimpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Fae is a jompus. Each vumpus is a tumpus. Each brimpus is a tumpus. Zumpuses are jompuses. Every impus is a lorpus. Every sterpus is a yumpus. Each vumpus is a sterpus and a zumpus and a wumpus. Each jompus is a wumpus. Fae is a tumpus and a gorpus and a yumpus. Fae is an impus and Fae is a brimpus and Fae is not a wumpus.", + "query": "Prove: Fae is not a vumpus.", + "chain_of_thought": [ + "Fae is an impus, Fae is a brimpus, and Fae is not a wumpus.", + "Fae is not a wumpus.\n\n", + "Assume Fae is a vumpus.", + "Each vumpus is a sterpus and a zumpus and a wumpus.", + "Fae is a sterpus and a zumpus and a wumpus.", + "Fae is a wumpus.", + "This contradicts with Fae is not a wumpus.", + "Fae is not a vumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Everything that is a yumpus, a brimpus, or a numpus is a rompus. Every vumpus is a grimpus. Everything that is a zumpus or a yumpus or a wumpus is a rompus. Every tumpus is a gorpus. Everything that is a yumpus or a brimpus or a numpus is a dumpus, a tumpus, and a vumpus. Polly is a sterpus. Polly is a yumpus.", + "query": "Prove: Polly is a dumpus.", + "chain_of_thought": [ + "Polly is a yumpus.", + "Polly is a yumpus or a brimpus or a numpus.", + "Everything that is a yumpus or a brimpus or a numpus is a dumpus, a tumpus, and a vumpus.", + "Polly is a dumpus and a tumpus and a vumpus.", + "Polly is a dumpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a wumpus, a grimpus, or a numpus is a tumpus. Everything that is a wumpus, an impus, or a shumpus is a yumpus and a zumpus and a vumpus. Zumpuses are jompuses. Vumpuses are numpuses. Everything that is a wumpus, an impus, or a shumpus is a lempus. Wren is a numpus. Wren is a wumpus.", + "query": "Prove: Wren is a yumpus.", + "chain_of_thought": [ + "Wren is a wumpus.", + "Wren is a wumpus or an impus or a shumpus.", + "Everything that is a wumpus, an impus, or a shumpus is a yumpus and a zumpus and a vumpus.", + "Wren is a yumpus and a zumpus and a vumpus.", + "Wren is a yumpus." + ] + }, + "test_example": { + "question": "Sally is a numpus. Every gorpus is a dumpus. Everything that is a numpus and a grimpus and a lempus is a yumpus. Sally is a dumpus. Everything that is a numpus and a dumpus and a jompus is a brimpus. Wumpuses are zumpuses. Sally is a jompus. Every tumpus is a yumpus. Sally is a tumpus. Everything that is a numpus, a grimpus, and a lempus is a dumpus. Sally is an impus, a jompus, and a shumpus. Sally is a gorpus and Sally is not a yumpus and Sally is a wumpus. Sally is a numpus. Sally is a grimpus.", + "query": "Prove: Sally is not a lempus.", + "chain_of_thought": [ + "Sally is a gorpus and Sally is not a yumpus and Sally is a wumpus.", + "Sally is not a yumpus.\n\n", + "Assume Sally is a lempus.", + "Sally is a grimpus.", + "Sally is a numpus.", + "Sally is a numpus and a grimpus and a lempus.", + "Everything that is a numpus and a grimpus and a lempus is a yumpus.", + "Sally is a yumpus.", + "This contradicts with Sally is not a yumpus.", + "Sally is not a lempus.\n\n" + ] + } + }, + "example40": { + "in_context_example0": { + "question": "Everything that is a wumpus, a yumpus, or an impus is a dumpus, a numpus, and a grimpus. Everything that is an impus, a lorpus, or a vumpus is a tumpus. Every numpus is a gorpus. Each grimpus is a vumpus. Everything that is a wumpus, a yumpus, or an impus is a lorpus. Rex is a sterpus. Rex is an impus.", + "query": "Prove: Rex is a dumpus.", + "chain_of_thought": [ + "Rex is an impus.", + "Rex is a wumpus or a yumpus or an impus.", + "Everything that is a wumpus, a yumpus, or an impus is a dumpus, a numpus, and a grimpus.", + "Rex is a dumpus, a numpus, and a grimpus.", + "Rex is a dumpus." + ] + }, + "in_context_example1": { + "question": "Alex is a brimpus. Everything that is a lorpus and a brimpus and a wumpus is a yumpus. Shumpuses are lempuses. Everything that is a lorpus, a rompus, and a sterpus is a numpus, a grimpus, and a shumpus. Numpuses are impuses. Alex is a wumpus. Alex is a lorpus. Everything that is a lorpus, a rompus, and a sterpus is a yumpus. Alex is a lorpus. Alex is a dumpus. Alex is a rompus. Alex is a sterpus.", + "query": "Prove: Alex is a grimpus.", + "chain_of_thought": [ + "Alex is a sterpus.", + "Alex is a rompus.", + "Alex is a lorpus.", + "Alex is a lorpus and a rompus and a sterpus.", + "Everything that is a lorpus, a rompus, and a sterpus is a numpus, a grimpus, and a shumpus.", + "Alex is a numpus, a grimpus, and a shumpus.", + "Alex is a grimpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a vumpus, an impus, and a brimpus is a dumpus and a sterpus and a rompus. Dumpuses are lorpuses. Everything that is a vumpus, a tumpus, and a numpus is a yumpus. Every rompus is a jompus. Sam is a tumpus. Sam is a numpus. Sam is a vumpus. Everything that is a vumpus and an impus and a brimpus is a lempus. Sam is a vumpus. Sam is a yumpus. Sam is an impus. Sam is a brimpus.", + "query": "Prove: Sam is a sterpus.", + "chain_of_thought": [ + "Sam is a brimpus.", + "Sam is an impus.", + "Sam is a vumpus.", + "Sam is a vumpus and an impus and a brimpus.", + "Everything that is a vumpus, an impus, and a brimpus is a dumpus and a sterpus and a rompus.", + "Sam is a dumpus and a sterpus and a rompus.", + "Sam is a sterpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a wumpus or a tumpus or a jompus is a shumpus, a zumpus, and an impus. Everything that is a wumpus, a tumpus, or a jompus is a brimpus. Everything that is a gorpus or a jompus or a lempus is a vumpus. Zumpuses are sterpuses. Shumpuses are dumpuses. Sally is a yumpus. Sally is a jompus.", + "query": "Prove: Sally is an impus.", + "chain_of_thought": [ + "Sally is a jompus.", + "Sally is a wumpus or a tumpus or a jompus.", + "Everything that is a wumpus or a tumpus or a jompus is a shumpus, a zumpus, and an impus.", + "Sally is a shumpus, a zumpus, and an impus.", + "Sally is an impus." + ] + }, + "in_context_example4": { + "question": "Everything that is a wumpus, a tumpus, or a rompus is a lempus. Every jompus is a tumpus and a sterpus and a shumpus. Shumpuses are rompuses. Every sterpus is a zumpus. Every jompus is a lempus. Wren is a dumpus. Wren is a jompus.", + "query": "Prove: Wren is a tumpus, a shumpus, or a numpus.", + "chain_of_thought": [ + "Wren is a jompus.", + "Every jompus is a tumpus and a sterpus and a shumpus.", + "Wren is a tumpus, a sterpus, and a shumpus.", + "Wren is a tumpus.", + "Wren is a tumpus or a shumpus or a numpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a grimpus, a shumpus, or a lempus is a rompus. Wumpuses are jompuses. Zumpuses are tumpuses, shumpuses, and wumpuses. Zumpuses are yumpuses. Tumpuses are lorpuses. Sam is a yumpus. Sam is a zumpus.", + "query": "Prove: Sam is a shumpus, a brimpus, or a sterpus.", + "chain_of_thought": [ + "Sam is a zumpus.", + "Zumpuses are tumpuses, shumpuses, and wumpuses.", + "Sam is a tumpus and a shumpus and a wumpus.", + "Sam is a shumpus.", + "Sam is a shumpus or a brimpus or a sterpus." + ] + }, + "in_context_example6": { + "question": "Shumpuses are brimpuses. Every impus is a dumpus. Every numpus is a jompus. Everything that is a yumpus, a jompus, or a sterpus is a tumpus. Numpuses are impuses, yumpuses, and shumpuses. Alex is a dumpus. Alex is a numpus.", + "query": "Prove: Alex is a grimpus or a yumpus or a wumpus.", + "chain_of_thought": [ + "Alex is a numpus.", + "Numpuses are impuses, yumpuses, and shumpuses.", + "Alex is an impus and a yumpus and a shumpus.", + "Alex is a yumpus.", + "Alex is a grimpus or a yumpus or a wumpus." + ] + }, + "in_context_example7": { + "question": "Dumpuses are numpuses. Shumpuses are vumpuses. Everything that is a zumpus or a tumpus or an impus is a lorpus. Gorpuses are jompuses. Gorpuses are zumpuses and dumpuses and shumpuses. Sam is an impus. Sam is a gorpus.", + "query": "Prove: Sam is a grimpus, a wumpus, or a zumpus.", + "chain_of_thought": [ + "Sam is a gorpus.", + "Gorpuses are zumpuses and dumpuses and shumpuses.", + "Sam is a zumpus and a dumpus and a shumpus.", + "Sam is a zumpus.", + "Sam is a grimpus or a wumpus or a zumpus." + ] + }, + "test_example": { + "question": "Fae is a vumpus. Lorpuses are dumpuses, impuses, and zumpuses. Each lorpus is a wumpus. Lempuses are wumpuses. Each vumpus is an impus. Yumpuses are grimpuses. Dumpuses are brimpuses. Every zumpus is a sterpus. Fae is a numpus and a rompus and a sterpus. Fae is a yumpus and Fae is a lempus and Fae is not an impus.", + "query": "Prove: Fae is not a lorpus.", + "chain_of_thought": [ + "Fae is a yumpus and Fae is a lempus and Fae is not an impus.", + "Fae is not an impus.\n\n", + "Assume Fae is a lorpus.", + "Lorpuses are dumpuses, impuses, and zumpuses.", + "Fae is a dumpus, an impus, and a zumpus.", + "Fae is an impus.", + "This contradicts with Fae is not an impus.", + "Fae is not a lorpus.\n\n" + ] + } + }, + "example41": { + "in_context_example0": { + "question": "Each vumpus is a grimpus and a shumpus and a sterpus. Each grimpus is a jompus. Each impus is a sterpus. Each brimpus is not a sterpus. Every rompus is a tumpus. Each vumpus is a wumpus. Every brimpus is a jompus. Sally is an impus. Every rompus is a brimpus. Each shumpus is a lempus. Sally is a tumpus. Sally is a rompus.", + "query": "Prove: Sally is not a vumpus.", + "chain_of_thought": [ + "Sally is a rompus.", + "Every rompus is a brimpus.", + "Sally is a brimpus.", + "Each brimpus is not a sterpus.", + "Sally is not a sterpus.\n\n", + "Assume Sally is a vumpus.", + "Each vumpus is a grimpus and a shumpus and a sterpus.", + "Sally is a grimpus, a shumpus, and a sterpus.", + "Sally is a sterpus.", + "This contradicts with Sally is not a sterpus.", + "Sally is not a vumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Each vumpus is a sterpus. Numpuses are rompuses. Zumpuses are brimpuses and gorpuses and numpuses. Each zumpus is a wumpus. Lempuses are not gorpuses. Fae is a grimpus. Brimpuses are tumpuses. Each grimpus is a gorpus. Lempuses are lorpuses. Fae is a wumpus and a sterpus and a grimpus. Fae is a vumpus, a numpus, and a lempus.", + "query": "Prove: Fae is not a zumpus.", + "chain_of_thought": [ + "Fae is a vumpus, a numpus, and a lempus.", + "Fae is a lempus.", + "Lempuses are not gorpuses.", + "Fae is not a gorpus.\n\n", + "Assume Fae is a zumpus.", + "Zumpuses are brimpuses and gorpuses and numpuses.", + "Fae is a brimpus and a gorpus and a numpus.", + "Fae is a gorpus.", + "This contradicts with Fae is not a gorpus.", + "Fae is not a zumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Every grimpus is a jompus. Rompuses are dumpuses and grimpuses and tumpuses. Rompuses are jompuses. Dumpuses are impuses. Everything that is a yumpus or a tumpus or a lorpus is a sterpus. Max is a brimpus. Max is a rompus.", + "query": "Prove: Max is a lempus or a tumpus or a vumpus.", + "chain_of_thought": [ + "Max is a rompus.", + "Rompuses are dumpuses and grimpuses and tumpuses.", + "Max is a dumpus, a grimpus, and a tumpus.", + "Max is a tumpus.", + "Max is a lempus, a tumpus, or a vumpus." + ] + }, + "in_context_example3": { + "question": "Jompuses are brimpuses. Everything that is a sterpus, a wumpus, or a lempus is a tumpus. Shumpuses are wumpuses, gorpuses, and jompuses. Each shumpus is a grimpus. Each gorpus is a lorpus. Sam is a lorpus. Sam is a shumpus.", + "query": "Prove: Sam is a vumpus or a wumpus or a numpus.", + "chain_of_thought": [ + "Sam is a shumpus.", + "Shumpuses are wumpuses, gorpuses, and jompuses.", + "Sam is a wumpus, a gorpus, and a jompus.", + "Sam is a wumpus.", + "Sam is a vumpus, a wumpus, or a numpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a rompus, a zumpus, and a vumpus is a grimpus. Everything that is a gorpus and a rompus and a numpus is a dumpus. Everything that is a rompus, a zumpus, and a vumpus is a wumpus. Rex is a lorpus. Everything that is a gorpus, a rompus, and a numpus is not a wumpus. Rex is a rompus. Everything that is a rompus and a grimpus and an impus is a shumpus. Rex is a tumpus. Rex is a grimpus. Rex is an impus. Each tumpus is a wumpus. Everything that is a lorpus and a gorpus and a grimpus is a sterpus. Rex is a gorpus. Rex is a gorpus. Rex is a dumpus. Rex is a rompus. Rex is a numpus. Rex is a rompus. Rex is a vumpus.", + "query": "Prove: Rex is not a zumpus.", + "chain_of_thought": [ + "Rex is a numpus.", + "Rex is a rompus.", + "Rex is a gorpus.", + "Rex is a gorpus, a rompus, and a numpus.", + "Everything that is a gorpus, a rompus, and a numpus is not a wumpus.", + "Rex is not a wumpus.", + "Rex is a vumpus.\n\n", + "Assume Rex is a zumpus.", + "Rex is a rompus.", + "Rex is a rompus, a zumpus, and a vumpus.", + "Everything that is a rompus, a zumpus, and a vumpus is a wumpus.", + "Rex is a wumpus.", + "This contradicts with Rex is not a wumpus.", + "Rex is not a zumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Dumpuses are rompuses. Each gorpus is a jompus. Every shumpus is a sterpus and a dumpus and a gorpus. Every shumpus is a numpus. Everything that is a vumpus, a sterpus, or a lorpus is a yumpus. Sam is an impus. Sam is a shumpus.", + "query": "Prove: Sam is a zumpus or a sterpus or a lempus.", + "chain_of_thought": [ + "Sam is a shumpus.", + "Every shumpus is a sterpus and a dumpus and a gorpus.", + "Sam is a sterpus and a dumpus and a gorpus.", + "Sam is a sterpus.", + "Sam is a zumpus, a sterpus, or a lempus." + ] + }, + "in_context_example6": { + "question": "Dumpuses are numpuses. Jompuses are brimpuses. Each grimpus is a yumpus. Grimpuses are brimpuses. Everything that is a vumpus, a yumpus, or a zumpus is a brimpus. Polly is a brimpus and a gorpus and a vumpus. Polly is a jompus and a grimpus and a dumpus.", + "query": "Prove: Polly is an impus or a yumpus or a tumpus.", + "chain_of_thought": [ + "Polly is a jompus and a grimpus and a dumpus.", + "Polly is a grimpus.", + "Each grimpus is a yumpus.", + "Polly is a yumpus.", + "Polly is an impus or a yumpus or a tumpus." + ] + }, + "in_context_example7": { + "question": "Dumpuses are wumpuses. Polly is a yumpus. Each brimpus is a rompus. Each gorpus is a lorpus. Each dumpus is an impus and a gorpus and a brimpus. Zumpuses are numpuses. Every gorpus is a jompus. Yumpuses are impuses. Polly is a lorpus, a lempus, and a jompus. Polly is a gorpus and Polly is not an impus and Polly is a zumpus.", + "query": "Prove: Polly is not a dumpus.", + "chain_of_thought": [ + "Polly is a gorpus, Polly is not an impus, and Polly is a zumpus.", + "Polly is not an impus.\n\n", + "Assume Polly is a dumpus.", + "Each dumpus is an impus and a gorpus and a brimpus.", + "Polly is an impus, a gorpus, and a brimpus.", + "Polly is an impus.", + "This contradicts with Polly is not an impus.", + "Polly is not a dumpus.\n\n" + ] + }, + "test_example": { + "question": "Polly is a sterpus. Polly is a tumpus. Everything that is a tumpus, a zumpus, and a numpus is a vumpus. Everything that is a tumpus and a sterpus and a yumpus is a brimpus. Each impus is a sterpus. Everything that is a tumpus and a zumpus and a numpus is a lempus and a grimpus and an impus. Every grimpus is a wumpus. Polly is a yumpus. Polly is a dumpus. Polly is a tumpus. Polly is a zumpus. Polly is a numpus.", + "query": "Prove: Polly is a lempus.", + "chain_of_thought": [ + "Polly is a numpus.", + "Polly is a zumpus.", + "Polly is a tumpus.", + "Polly is a tumpus, a zumpus, and a numpus.", + "Everything that is a tumpus and a zumpus and a numpus is a lempus and a grimpus and an impus.", + "Polly is a lempus, a grimpus, and an impus.", + "Polly is a lempus." + ] + } + }, + "example42": { + "in_context_example0": { + "question": "Everything that is a yumpus, a shumpus, and a dumpus is a lorpus. Everything that is a yumpus, a numpus, and a lempus is a zumpus and a grimpus and a vumpus. Polly is a yumpus. Everything that is a yumpus and a numpus and a lempus is a lorpus. Polly is a shumpus. Every zumpus is a sterpus. Polly is a dumpus. Grimpuses are shumpuses. Polly is a sterpus. Polly is a yumpus. Polly is a numpus. Polly is a lempus.", + "query": "Prove: Polly is a vumpus.", + "chain_of_thought": [ + "Polly is a lempus.", + "Polly is a numpus.", + "Polly is a yumpus.", + "Polly is a yumpus and a numpus and a lempus.", + "Everything that is a yumpus, a numpus, and a lempus is a zumpus and a grimpus and a vumpus.", + "Polly is a zumpus and a grimpus and a vumpus.", + "Polly is a vumpus." + ] + }, + "in_context_example1": { + "question": "Each numpus is a zumpus. Max is a brimpus. Everything that is a lempus, a sterpus, and a brimpus is an impus. Max is a sterpus. Every shumpus is a lorpus. Everything that is a sterpus and a rompus and a yumpus is a lempus. Everything that is a sterpus and a rompus and a yumpus is a numpus, a shumpus, and a dumpus. Max is a lempus. Max is a sterpus. Max is a rompus. Max is a grimpus. Max is a yumpus.", + "query": "Prove: Max is a dumpus.", + "chain_of_thought": [ + "Max is a yumpus.", + "Max is a rompus.", + "Max is a sterpus.", + "Max is a sterpus and a rompus and a yumpus.", + "Everything that is a sterpus and a rompus and a yumpus is a numpus, a shumpus, and a dumpus.", + "Max is a numpus, a shumpus, and a dumpus.", + "Max is a dumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a lempus, a rompus, and an impus is a yumpus. Everything that is a lempus and a jompus and a gorpus is a numpus. Sally is a lempus. Grimpuses are lorpuses. Sally is a gorpus. Dumpuses are tumpuses. Everything that is a lempus and a rompus and an impus is a wumpus. Each jompus is a wumpus. Sally is a jompus. Sally is not a wumpus, Sally is a grimpus, and Sally is a dumpus. Sally is a sterpus, a shumpus, and a yumpus. Sally is a lempus. Sally is a rompus.", + "query": "Prove: Sally is not an impus.", + "chain_of_thought": [ + "Sally is not a wumpus and Sally is a grimpus and Sally is a dumpus.", + "Sally is not a wumpus.\n\n", + "Assume Sally is an impus.", + "Sally is a rompus.", + "Sally is a lempus.", + "Sally is a lempus and a rompus and an impus.", + "Everything that is a lempus and a rompus and an impus is a wumpus.", + "Sally is a wumpus.", + "This contradicts with Sally is not a wumpus.", + "Sally is not an impus.\n\n" + ] + }, + "in_context_example3": { + "question": "Brimpuses are dumpuses. Shumpuses are yumpuses. Everything that is a lorpus, a sterpus, or a wumpus is a yumpus. Everything that is a zumpus or a wumpus or a gorpus is a rompus. Lempuses are tumpuses. Everything that is a lorpus, a sterpus, or a wumpus is a jompus. Rex is a shumpus. Rex is a vumpus and a rompus and a grimpus. Rex is a lempus and Rex is not a yumpus and Rex is a brimpus.", + "query": "Prove: Rex is not a wumpus.", + "chain_of_thought": [ + "Rex is a lempus and Rex is not a yumpus and Rex is a brimpus.", + "Rex is not a yumpus.\n\n", + "Assume Rex is a wumpus.", + "Rex is a lorpus, a sterpus, or a wumpus.", + "Everything that is a lorpus, a sterpus, or a wumpus is a yumpus.", + "Rex is a yumpus.", + "This contradicts with Rex is not a yumpus.", + "Rex is not a wumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Lempuses are dumpuses. Every rompus is a vumpus. Everything that is a gorpus, a jompus, and an impus is a sterpus. Alex is a dumpus. Alex is a gorpus. Alex is a lorpus. Everything that is a gorpus and a jompus and an impus is a grimpus, a rompus, and a lempus. Everything that is a gorpus, a dumpus, and a lorpus is a vumpus. Alex is a gorpus. Alex is a yumpus. Alex is a jompus. Alex is an impus.", + "query": "Prove: Alex is a grimpus.", + "chain_of_thought": [ + "Alex is an impus.", + "Alex is a jompus.", + "Alex is a gorpus.", + "Alex is a gorpus and a jompus and an impus.", + "Everything that is a gorpus and a jompus and an impus is a grimpus, a rompus, and a lempus.", + "Alex is a grimpus, a rompus, and a lempus.", + "Alex is a grimpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a zumpus or a numpus or a lorpus is a dumpus. Everything that is a zumpus, a numpus, or a lorpus is not a lempus. Each gorpus is a brimpus. Every gorpus is a tumpus. Each brimpus is a tumpus. Each rompus is a lempus. Each brimpus is a lempus. Everything that is a lorpus, a tumpus, or a rompus is a vumpus. Wren is a rompus. Wren is a rompus. Wren is a lorpus.", + "query": "Prove: Wren is not a gorpus.", + "chain_of_thought": [ + "Wren is a lorpus.", + "Wren is a zumpus or a numpus or a lorpus.", + "Everything that is a zumpus, a numpus, or a lorpus is not a lempus.", + "Wren is not a lempus.\n\n", + "Assume Wren is a gorpus.", + "Each gorpus is a brimpus.", + "Wren is a brimpus.", + "Each brimpus is a lempus.", + "Wren is a lempus.", + "This contradicts with Wren is not a lempus.", + "Wren is not a gorpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Everything that is a lorpus, a wumpus, and a rompus is a zumpus. Polly is a rompus. Every vumpus is a numpus. Each tumpus is a lempus. Polly is a wumpus. Everything that is a lorpus, a yumpus, and a dumpus is an impus. Everything that is a lorpus, a yumpus, and a dumpus is a tumpus, a vumpus, and a grimpus. Polly is a lorpus. Polly is a lorpus. Polly is a zumpus. Polly is a yumpus. Polly is a dumpus.", + "query": "Prove: Polly is a grimpus.", + "chain_of_thought": [ + "Polly is a dumpus.", + "Polly is a yumpus.", + "Polly is a lorpus.", + "Polly is a lorpus and a yumpus and a dumpus.", + "Everything that is a lorpus, a yumpus, and a dumpus is a tumpus, a vumpus, and a grimpus.", + "Polly is a tumpus and a vumpus and a grimpus.", + "Polly is a grimpus." + ] + }, + "in_context_example7": { + "question": "Tumpuses are rompuses. Every grimpus is a brimpus. Tumpuses are yumpuses, grimpuses, and jompuses. Every jompus is a lorpus. Everything that is an impus or a yumpus or a zumpus is a shumpus. Alex is a gorpus. Alex is a tumpus.", + "query": "Prove: Alex is a yumpus, a vumpus, or a wumpus.", + "chain_of_thought": [ + "Alex is a tumpus.", + "Tumpuses are yumpuses, grimpuses, and jompuses.", + "Alex is a yumpus and a grimpus and a jompus.", + "Alex is a yumpus.", + "Alex is a yumpus, a vumpus, or a wumpus." + ] + }, + "test_example": { + "question": "Everything that is a brimpus or a yumpus or a shumpus is a wumpus. Every numpus is a brimpus, a vumpus, and a lorpus. Every lorpus is a tumpus. Each vumpus is a sterpus. Each numpus is a shumpus. Rex is a tumpus. Rex is a numpus.", + "query": "Prove: Rex is an impus, a rompus, or a brimpus.", + "chain_of_thought": [ + "Rex is a numpus.", + "Every numpus is a brimpus, a vumpus, and a lorpus.", + "Rex is a brimpus and a vumpus and a lorpus.", + "Rex is a brimpus.", + "Rex is an impus, a rompus, or a brimpus." + ] + } + }, + "example43": { + "in_context_example0": { + "question": "Stella is a lorpus. Stella is a shumpus. Everything that is a lorpus and a numpus and a jompus is a rompus. Everything that is a lorpus and a numpus and a jompus is not an impus. Shumpuses are impuses. Everything that is a grimpus or a yumpus or a wumpus is a vumpus. Everything that is a rompus, a lorpus, and a vumpus is a zumpus. Everything that is a gorpus or a grimpus or a lempus is a zumpus. Stella is a rompus. Everything that is a grimpus or a yumpus or a wumpus is an impus. Stella is a vumpus. Stella is a lempus. Stella is a lorpus. Stella is a numpus. Stella is a jompus.", + "query": "Prove: Stella is not a grimpus.", + "chain_of_thought": [ + "Stella is a jompus.", + "Stella is a numpus.", + "Stella is a lorpus.", + "Stella is a lorpus, a numpus, and a jompus.", + "Everything that is a lorpus and a numpus and a jompus is not an impus.", + "Stella is not an impus.\n\n", + "Assume Stella is a grimpus.", + "Stella is a grimpus or a yumpus or a wumpus.", + "Everything that is a grimpus or a yumpus or a wumpus is an impus.", + "Stella is an impus.", + "This contradicts with Stella is not an impus.", + "Stella is not a grimpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Every numpus is a yumpus and a lempus and a dumpus. Every lempus is a shumpus. Jompuses are impuses. Polly is a lorpus. Every lempus is an impus. Numpuses are vumpuses. Every lorpus is a yumpus. Dumpuses are shumpuses. Polly is a lorpus and a rompus and an impus. Polly is not a yumpus, Polly is a lempus, and Polly is a jompus.", + "query": "Prove: Polly is not a numpus.", + "chain_of_thought": [ + "Polly is not a yumpus and Polly is a lempus and Polly is a jompus.", + "Polly is not a yumpus.\n\n", + "Assume Polly is a numpus.", + "Every numpus is a yumpus and a lempus and a dumpus.", + "Polly is a yumpus, a lempus, and a dumpus.", + "Polly is a yumpus.", + "This contradicts with Polly is not a yumpus.", + "Polly is not a numpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Grimpuses are tumpuses. Everything that is a gorpus or a brimpus or a rompus is a yumpus. Lempuses are not numpuses. Sally is a wumpus. Sally is a shumpus. Everything that is a wumpus, a shumpus, and a yumpus is an impus. Every sterpus is a numpus. Everything that is a gorpus, a brimpus, or a rompus is a wumpus. Everything that is a gorpus or a yumpus or a zumpus is a vumpus. Sally is a yumpus. Sally is a gorpus. Sally is a numpus, Sally is not a tumpus, and Sally is a wumpus. Sally is a dumpus. Sally is a lempus.", + "query": "Prove: Sally is a wumpus, Sally is not a grimpus, and Sally is not a sterpus.", + "chain_of_thought": [ + "Sally is a lempus.", + "Lempuses are not numpuses.", + "Sally is not a numpus.\n\n", + "Assume Sally is a sterpus.", + "Every sterpus is a numpus.", + "Sally is a numpus.", + "This contradicts with Sally is not a numpus.", + "Sally is not a sterpus.\n\n", + "Sally is a numpus and Sally is not a tumpus and Sally is a wumpus.", + "Sally is not a tumpus.\n\n", + "Assume Sally is a grimpus.", + "Grimpuses are tumpuses.", + "Sally is a tumpus.", + "This contradicts with Sally is not a tumpus.", + "Sally is not a grimpus.\n\n", + "Sally is a gorpus.", + "Sally is a gorpus or a brimpus or a rompus.", + "Everything that is a gorpus, a brimpus, or a rompus is a wumpus.", + "Sally is a wumpus.", + "Sally is a wumpus and Sally is not a grimpus and Sally is not a sterpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a sterpus, a tumpus, or a numpus is a rompus. Zumpuses are grimpuses. Zumpuses are sterpuses and lorpuses and impuses. Each impus is a dumpus. Lorpuses are rompuses. Polly is a numpus. Polly is a zumpus.", + "query": "Prove: Polly is a yumpus or a brimpus or a sterpus.", + "chain_of_thought": [ + "Polly is a zumpus.", + "Zumpuses are sterpuses and lorpuses and impuses.", + "Polly is a sterpus and a lorpus and an impus.", + "Polly is a sterpus.", + "Polly is a yumpus, a brimpus, or a sterpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a jompus, a brimpus, or a vumpus is a shumpus. Everything that is a sterpus, a lorpus, or a jompus is a zumpus. Sterpuses are lempuses. Everything that is a sterpus, a lorpus, or a jompus is a brimpus. Grimpuses are vumpuses. Sam is a gorpus and a dumpus and a wumpus. Sam is a sterpus and a jompus and a grimpus.", + "query": "Prove: Sam is a zumpus.", + "chain_of_thought": [ + "Sam is a sterpus, a jompus, and a grimpus.", + "Sam is a jompus.", + "Sam is a sterpus or a lorpus or a jompus.", + "Everything that is a sterpus, a lorpus, or a jompus is a zumpus.", + "Sam is a zumpus." + ] + }, + "in_context_example5": { + "question": "Dumpuses are zumpuses. Everything that is a jompus, a grimpus, or a sterpus is a numpus. Every yumpus is a shumpus. Everything that is a brimpus, a sterpus, or a shumpus is a tumpus. Everything that is a jompus, a grimpus, or a sterpus is a yumpus. Polly is a zumpus and a lempus and a tumpus. Polly is a yumpus, a sterpus, and a dumpus.", + "query": "Prove: Polly is a yumpus.", + "chain_of_thought": [ + "Polly is a yumpus and a sterpus and a dumpus.", + "Polly is a sterpus.", + "Polly is a jompus, a grimpus, or a sterpus.", + "Everything that is a jompus, a grimpus, or a sterpus is a yumpus.", + "Polly is a yumpus." + ] + }, + "in_context_example6": { + "question": "Dumpuses are wumpuses. Everything that is a shumpus or a jompus or a lorpus is a numpus. Every yumpus is a shumpus, a dumpus, and a rompus. Each rompus is a lorpus. Yumpuses are wumpuses. Fae is a lorpus. Fae is a yumpus.", + "query": "Prove: Fae is a zumpus, a shumpus, or an impus.", + "chain_of_thought": [ + "Fae is a yumpus.", + "Every yumpus is a shumpus, a dumpus, and a rompus.", + "Fae is a shumpus and a dumpus and a rompus.", + "Fae is a shumpus.", + "Fae is a zumpus or a shumpus or an impus." + ] + }, + "in_context_example7": { + "question": "Sterpuses are tumpuses. Everything that is an impus, a grimpus, and a shumpus is a tumpus. Everything that is an impus and a yumpus and a rompus is a brimpus. Rex is a rompus. Everything that is an impus, a grimpus, and a shumpus is a numpus. Rex is a sterpus. Vumpuses are brimpuses. Rex is an impus. Rex is a yumpus. Wumpuses are yumpuses. Rex is a numpus and a lorpus and a jompus. Rex is a wumpus and Rex is not a tumpus and Rex is a vumpus. Rex is an impus. Rex is a grimpus.", + "query": "Prove: Rex is not a shumpus.", + "chain_of_thought": [ + "Rex is a wumpus, Rex is not a tumpus, and Rex is a vumpus.", + "Rex is not a tumpus.\n\n", + "Assume Rex is a shumpus.", + "Rex is a grimpus.", + "Rex is an impus.", + "Rex is an impus, a grimpus, and a shumpus.", + "Everything that is an impus, a grimpus, and a shumpus is a tumpus.", + "Rex is a tumpus.", + "This contradicts with Rex is not a tumpus.", + "Rex is not a shumpus.\n\n" + ] + }, + "test_example": { + "question": "Shumpuses are jompuses. Gorpuses are tumpuses. Every dumpus is a vumpus. Each lorpus is not a tumpus. Stella is a gorpus. Every yumpus is a jompus. Lempuses are sterpuses. Each lorpus is an impus. Lempuses are yumpuses and dumpuses and tumpuses. Zumpuses are rompuses. Stella is a rompus, a grimpus, and a gorpus. Stella is a shumpus and a lorpus and a zumpus.", + "query": "Prove: Stella is not a lempus.", + "chain_of_thought": [ + "Stella is a shumpus and a lorpus and a zumpus.", + "Stella is a lorpus.", + "Each lorpus is not a tumpus.", + "Stella is not a tumpus.\n\n", + "Assume Stella is a lempus.", + "Lempuses are yumpuses and dumpuses and tumpuses.", + "Stella is a yumpus and a dumpus and a tumpus.", + "Stella is a tumpus.", + "This contradicts with Stella is not a tumpus.", + "Stella is not a lempus.\n\n" + ] + } + }, + "example44": { + "in_context_example0": { + "question": "Every vumpus is a shumpus. Zumpuses are tumpuses and gorpuses and numpuses. Each gorpus is a jompus. Each tumpus is a sterpus. Every zumpus is a shumpus. Polly is a lempus. Lempuses are numpuses. Every gorpus is an impus. Polly is a lorpus and a yumpus and a brimpus. Polly is a vumpus and Polly is a gorpus and Polly is not a numpus.", + "query": "Prove: Polly is not a zumpus.", + "chain_of_thought": [ + "Polly is a vumpus, Polly is a gorpus, and Polly is not a numpus.", + "Polly is not a numpus.\n\n", + "Assume Polly is a zumpus.", + "Zumpuses are tumpuses and gorpuses and numpuses.", + "Polly is a tumpus and a gorpus and a numpus.", + "Polly is a numpus.", + "This contradicts with Polly is not a numpus.", + "Polly is not a zumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Everything that is a zumpus and a shumpus and a brimpus is a grimpus. Every wumpus is a rompus. Everything that is a grimpus and a zumpus and a gorpus is a lorpus. Sally is a zumpus. Everything that is a zumpus, a shumpus, and a brimpus is a yumpus, a wumpus, and a vumpus. Sally is a gorpus. Sally is a grimpus. Yumpuses are jompuses. Sally is a sterpus. Sally is a zumpus. Sally is a shumpus. Sally is a brimpus.", + "query": "Prove: Sally is a vumpus.", + "chain_of_thought": [ + "Sally is a brimpus.", + "Sally is a shumpus.", + "Sally is a zumpus.", + "Sally is a zumpus, a shumpus, and a brimpus.", + "Everything that is a zumpus, a shumpus, and a brimpus is a yumpus, a wumpus, and a vumpus.", + "Sally is a yumpus, a wumpus, and a vumpus.", + "Sally is a vumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a wumpus, a lorpus, or a zumpus is a grimpus. Every yumpus is a tumpus. Everything that is a rompus or a lorpus or an impus is a jompus, a yumpus, and a numpus. Everything that is a rompus, a lorpus, or an impus is a wumpus. Numpuses are wumpuses. Alex is a grimpus. Alex is a lorpus.", + "query": "Prove: Alex is a jompus.", + "chain_of_thought": [ + "Alex is a lorpus.", + "Alex is a rompus, a lorpus, or an impus.", + "Everything that is a rompus or a lorpus or an impus is a jompus, a yumpus, and a numpus.", + "Alex is a jompus and a yumpus and a numpus.", + "Alex is a jompus." + ] + }, + "in_context_example3": { + "question": "Everything that is a wumpus, a gorpus, and a jompus is a rompus. Everything that is a shumpus or a dumpus or a zumpus is a sterpus. Sam is a yumpus. Everything that is a lempus or a tumpus or a dumpus is a brimpus. Sam is a shumpus. Everything that is a lempus, a tumpus, or a dumpus is not a vumpus. Everything that is a wumpus, a gorpus, and a jompus is a vumpus. Sam is a wumpus. Every shumpus is a vumpus. Sam is a zumpus. Everything that is a zumpus and a wumpus and a yumpus is a grimpus. Sam is a dumpus. Sam is a wumpus. Sam is a grimpus. Sam is a gorpus.", + "query": "Prove: Sam is not a jompus.", + "chain_of_thought": [ + "Sam is a dumpus.", + "Sam is a lempus, a tumpus, or a dumpus.", + "Everything that is a lempus, a tumpus, or a dumpus is not a vumpus.", + "Sam is not a vumpus.\n\n", + "Assume Sam is a jompus.", + "Sam is a gorpus.", + "Sam is a wumpus.", + "Sam is a wumpus and a gorpus and a jompus.", + "Everything that is a wumpus, a gorpus, and a jompus is a vumpus.", + "Sam is a vumpus.", + "This contradicts with Sam is not a vumpus.", + "Sam is not a jompus.\n\n" + ] + }, + "in_context_example4": { + "question": "Yumpuses are shumpuses. Sterpuses are wumpuses. Each jompus is a vumpus. Everything that is a brimpus, a rompus, or a tumpus is a dumpus. Jompuses are sterpuses, brimpuses, and yumpuses. Alex is a grimpus. Alex is a jompus.", + "query": "Prove: Alex is a zumpus or a sterpus or a brimpus.", + "chain_of_thought": [ + "Alex is a jompus.", + "Jompuses are sterpuses, brimpuses, and yumpuses.", + "Alex is a sterpus and a brimpus and a yumpus.", + "Alex is a brimpus.", + "Alex is a zumpus, a sterpus, or a brimpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a grimpus or a lempus or a dumpus is an impus. Everything that is a wumpus or a brimpus or a grimpus is a sterpus, a vumpus, and a rompus. Each sterpus is an impus. Rompuses are gorpuses. Everything that is a wumpus or a brimpus or a grimpus is a lempus. Sam is a gorpus. Sam is a grimpus.", + "query": "Prove: Sam is a vumpus.", + "chain_of_thought": [ + "Sam is a grimpus.", + "Sam is a wumpus or a brimpus or a grimpus.", + "Everything that is a wumpus or a brimpus or a grimpus is a sterpus, a vumpus, and a rompus.", + "Sam is a sterpus and a vumpus and a rompus.", + "Sam is a vumpus." + ] + }, + "in_context_example6": { + "question": "Everything that is an impus or a shumpus or a sterpus is a wumpus. Lorpuses are jompuses. Dumpuses are lorpuses and impuses and yumpuses. Dumpuses are wumpuses. Yumpuses are tumpuses. Fae is a lempus. Fae is a dumpus.", + "query": "Prove: Fae is an impus or a grimpus or a numpus.", + "chain_of_thought": [ + "Fae is a dumpus.", + "Dumpuses are lorpuses and impuses and yumpuses.", + "Fae is a lorpus, an impus, and a yumpus.", + "Fae is an impus.", + "Fae is an impus or a grimpus or a numpus." + ] + }, + "in_context_example7": { + "question": "Each lempus is an impus. Every numpus is a jompus. Lorpuses are shumpuses. Everything that is a tumpus, a wumpus, and a lempus is not a grimpus. Wren is a gorpus. Lorpuses are lempuses and numpuses and grimpuses. Wren is a dumpus. Every dumpus is a grimpus. Wren is a tumpus. Everything that is a tumpus and a wumpus and a lempus is a shumpus. Everything that is a gorpus, a tumpus, and a rompus is a vumpus. Wren is a rompus. Wren is a jompus. Wren is a tumpus. Wren is a wumpus. Wren is a lempus.", + "query": "Prove: Wren is not a lorpus.", + "chain_of_thought": [ + "Wren is a lempus.", + "Wren is a wumpus.", + "Wren is a tumpus.", + "Wren is a tumpus, a wumpus, and a lempus.", + "Everything that is a tumpus, a wumpus, and a lempus is not a grimpus.", + "Wren is not a grimpus.\n\n", + "Assume Wren is a lorpus.", + "Lorpuses are lempuses and numpuses and grimpuses.", + "Wren is a lempus and a numpus and a grimpus.", + "Wren is a grimpus.", + "This contradicts with Wren is not a grimpus.", + "Wren is not a lorpus.\n\n" + ] + }, + "test_example": { + "question": "Sterpuses are rompuses. Everything that is a dumpus, a grimpus, and a gorpus is a lorpus. Sally is a dumpus. Sally is a grimpus. Everything that is a dumpus and a tumpus and a zumpus is an impus and a sterpus and a lempus. Everything that is a dumpus, a tumpus, and a zumpus is a lorpus. Sally is a gorpus. Each lempus is a grimpus. Sally is a shumpus. Sally is a dumpus. Sally is a tumpus. Sally is a zumpus.", + "query": "Prove: Sally is an impus.", + "chain_of_thought": [ + "Sally is a zumpus.", + "Sally is a tumpus.", + "Sally is a dumpus.", + "Sally is a dumpus and a tumpus and a zumpus.", + "Everything that is a dumpus and a tumpus and a zumpus is an impus and a sterpus and a lempus.", + "Sally is an impus, a sterpus, and a lempus.", + "Sally is an impus." + ] + } + }, + "example45": { + "in_context_example0": { + "question": "Every gorpus is a vumpus and a lorpus and a zumpus. Everything that is a grimpus or a lorpus or a jompus is a shumpus. Each zumpus is a rompus. Vumpuses are shumpuses. Every gorpus is a yumpus. Alex is a yumpus. Alex is a gorpus.", + "query": "Prove: Alex is a lorpus or a wumpus or a dumpus.", + "chain_of_thought": [ + "Alex is a gorpus.", + "Every gorpus is a vumpus and a lorpus and a zumpus.", + "Alex is a vumpus, a lorpus, and a zumpus.", + "Alex is a lorpus.", + "Alex is a lorpus, a wumpus, or a dumpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a vumpus or a lorpus or a gorpus is a tumpus. Every numpus is a rompus. Everything that is a vumpus or a lorpus or a gorpus is not a rompus. Rex is a numpus. Everything that is a shumpus or a yumpus or a brimpus is a numpus. Everything that is a grimpus or a yumpus or a zumpus is an impus. Everything that is a grimpus or a yumpus or a zumpus is a rompus. Everything that is a vumpus or a wumpus or a jompus is a dumpus. Rex is a brimpus. Rex is a vumpus.", + "query": "Prove: Rex is not a yumpus.", + "chain_of_thought": [ + "Rex is a vumpus.", + "Rex is a vumpus or a lorpus or a gorpus.", + "Everything that is a vumpus or a lorpus or a gorpus is not a rompus.", + "Rex is not a rompus.\n\n", + "Assume Rex is a yumpus.", + "Rex is a grimpus, a yumpus, or a zumpus.", + "Everything that is a grimpus or a yumpus or a zumpus is a rompus.", + "Rex is a rompus.", + "This contradicts with Rex is not a rompus.", + "Rex is not a yumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a shumpus or a brimpus or a gorpus is an impus. Lempuses are vumpuses. Everything that is a shumpus, a brimpus, or a gorpus is a grimpus, a rompus, and a lempus. Everything that is a yumpus or a gorpus or a zumpus is a sterpus. Rompuses are yumpuses. Sam is a zumpus. Sam is a gorpus.", + "query": "Prove: Sam is a grimpus.", + "chain_of_thought": [ + "Sam is a gorpus.", + "Sam is a shumpus or a brimpus or a gorpus.", + "Everything that is a shumpus, a brimpus, or a gorpus is a grimpus, a rompus, and a lempus.", + "Sam is a grimpus, a rompus, and a lempus.", + "Sam is a grimpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a grimpus, a dumpus, or a shumpus is a vumpus. Each impus is a dumpus. Impuses are brimpuses. Each zumpus is a brimpus. Lempuses are numpuses. Sally is a wumpus and a numpus and a lorpus. Sally is a lempus and a zumpus and an impus.", + "query": "Prove: Sally is a zumpus or a dumpus or a sterpus.", + "chain_of_thought": [ + "Sally is a lempus and a zumpus and an impus.", + "Sally is an impus.", + "Each impus is a dumpus.", + "Sally is a dumpus.", + "Sally is a zumpus, a dumpus, or a sterpus." + ] + }, + "in_context_example4": { + "question": "Stella is a wumpus. Each wumpus is a zumpus. Each impus is a gorpus. Each rompus is a lorpus. Lorpuses are zumpuses. Each rompus is a lempus. Lorpuses are lempuses. Yumpuses are shumpuses. Stella is a jompus, a wumpus, and a shumpus. Stella is not a zumpus, Stella is an impus, and Stella is a yumpus.", + "query": "Prove: Stella is not a rompus.", + "chain_of_thought": [ + "Stella is not a zumpus and Stella is an impus and Stella is a yumpus.", + "Stella is not a zumpus.\n\n", + "Assume Stella is a rompus.", + "Each rompus is a lorpus.", + "Stella is a lorpus.", + "Lorpuses are zumpuses.", + "Stella is a zumpus.", + "This contradicts with Stella is not a zumpus.", + "Stella is not a rompus.\n\n" + ] + }, + "in_context_example5": { + "question": "Alex is a lempus. Everything that is a lempus and a grimpus and a zumpus is a dumpus. Everything that is a lempus and a grimpus and a zumpus is an impus. Alex is a tumpus. Alex is a sterpus. Wumpuses are lorpuses. Every rompus is a numpus. Alex is a dumpus. Everything that is a sterpus and a lempus and a tumpus is a shumpus. Dumpuses are impuses. Alex is not an impus and Alex is a wumpus and Alex is a rompus. Alex is a sterpus and a shumpus and a numpus. Alex is a lempus. Alex is a grimpus.", + "query": "Prove: Alex is not a zumpus.", + "chain_of_thought": [ + "Alex is not an impus, Alex is a wumpus, and Alex is a rompus.", + "Alex is not an impus.\n\n", + "Assume Alex is a zumpus.", + "Alex is a grimpus.", + "Alex is a lempus.", + "Alex is a lempus and a grimpus and a zumpus.", + "Everything that is a lempus and a grimpus and a zumpus is an impus.", + "Alex is an impus.", + "This contradicts with Alex is not an impus.", + "Alex is not a zumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Numpuses are dumpuses. Polly is a vumpus. Each vumpus is a grimpus. Each jompus is a rompus. Each zumpus is a jompus and a grimpus and a numpus. Each zumpus is a dumpus. Everything that is a wumpus and a rompus and a gorpus is a lempus. Everything that is a wumpus, an impus, and a tumpus is a lorpus. Polly is a wumpus. Everything that is a wumpus and an impus and a tumpus is not a grimpus. Polly is a gorpus. Polly is a rompus. Polly is a lempus. Polly is a wumpus. Polly is an impus. Polly is a tumpus.", + "query": "Prove: Polly is not a zumpus.", + "chain_of_thought": [ + "Polly is a tumpus.", + "Polly is an impus.", + "Polly is a wumpus.", + "Polly is a wumpus, an impus, and a tumpus.", + "Everything that is a wumpus and an impus and a tumpus is not a grimpus.", + "Polly is not a grimpus.\n\n", + "Assume Polly is a zumpus.", + "Each zumpus is a jompus and a grimpus and a numpus.", + "Polly is a jompus, a grimpus, and a numpus.", + "Polly is a grimpus.", + "This contradicts with Polly is not a grimpus.", + "Polly is not a zumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Dumpuses are vumpuses. Everything that is a rompus or a zumpus or an impus is a brimpus, a lempus, and a dumpus. Brimpuses are grimpuses. Everything that is a rompus, a vumpus, or a grimpus is a tumpus. Everything that is a rompus or a zumpus or an impus is a sterpus. Fae is a sterpus. Fae is a rompus.", + "query": "Prove: Fae is a lempus.", + "chain_of_thought": [ + "Fae is a rompus.", + "Fae is a rompus or a zumpus or an impus.", + "Everything that is a rompus or a zumpus or an impus is a brimpus, a lempus, and a dumpus.", + "Fae is a brimpus and a lempus and a dumpus.", + "Fae is a lempus." + ] + }, + "test_example": { + "question": "Wren is a wumpus. Wren is a tumpus. Everything that is a tumpus, a lempus, and a zumpus is a sterpus. Grimpuses are jompuses. Everything that is a yumpus and a tumpus and a wumpus is a numpus. Wren is a yumpus. Everything that is a tumpus, a lempus, and a zumpus is a grimpus and a vumpus and an impus. Impuses are rompuses. Wren is a shumpus. Wren is a tumpus. Wren is a lempus. Wren is a zumpus.", + "query": "Prove: Wren is a vumpus.", + "chain_of_thought": [ + "Wren is a zumpus.", + "Wren is a lempus.", + "Wren is a tumpus.", + "Wren is a tumpus and a lempus and a zumpus.", + "Everything that is a tumpus, a lempus, and a zumpus is a grimpus and a vumpus and an impus.", + "Wren is a grimpus and a vumpus and an impus.", + "Wren is a vumpus." + ] + } + }, + "example46": { + "in_context_example0": { + "question": "Everything that is a grimpus, a dumpus, or a shumpus is a rompus. Zumpuses are jompuses. Every lorpus is a numpus. Everything that is a grimpus, a dumpus, or a shumpus is a tumpus. Everything that is a gorpus or a grimpus or a yumpus is a numpus. Polly is a jompus, an impus, and a sterpus. Polly is a zumpus and a lorpus and a grimpus.", + "query": "Prove: Polly is a rompus.", + "chain_of_thought": [ + "Polly is a zumpus, a lorpus, and a grimpus.", + "Polly is a grimpus.", + "Polly is a grimpus, a dumpus, or a shumpus.", + "Everything that is a grimpus, a dumpus, or a shumpus is a rompus.", + "Polly is a rompus." + ] + }, + "in_context_example1": { + "question": "Stella is a tumpus. Stella is an impus. Every jompus is a zumpus. Everything that is a tumpus, a sterpus, and a jompus is a gorpus. Stella is a wumpus. Impuses are yumpuses. Everything that is a tumpus, a sterpus, and a jompus is a yumpus. Everything that is a tumpus and an impus and a wumpus is a shumpus. Each grimpus is a lorpus. Stella is not a yumpus and Stella is a grimpus and Stella is a jompus. Stella is a tumpus. Stella is a gorpus and a vumpus and a numpus. Stella is a jompus.", + "query": "Prove: Stella is not a sterpus.", + "chain_of_thought": [ + "Stella is not a yumpus and Stella is a grimpus and Stella is a jompus.", + "Stella is not a yumpus.", + "Stella is a jompus.\n\n", + "Assume Stella is a sterpus.", + "Stella is a tumpus.", + "Stella is a tumpus, a sterpus, and a jompus.", + "Everything that is a tumpus, a sterpus, and a jompus is a yumpus.", + "Stella is a yumpus.", + "This contradicts with Stella is not a yumpus.", + "Stella is not a sterpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Stella is a wumpus. Stella is a grimpus. Everything that is a grimpus, a vumpus, and an impus is a shumpus, a zumpus, and a dumpus. Everything that is a tumpus, a grimpus, and a wumpus is a gorpus. Zumpuses are wumpuses. Stella is a tumpus. Everything that is a grimpus and a vumpus and an impus is a rompus. Shumpuses are jompuses. Stella is a numpus. Stella is a grimpus. Stella is a vumpus. Stella is an impus.", + "query": "Prove: Stella is a dumpus.", + "chain_of_thought": [ + "Stella is an impus.", + "Stella is a vumpus.", + "Stella is a grimpus.", + "Stella is a grimpus, a vumpus, and an impus.", + "Everything that is a grimpus, a vumpus, and an impus is a shumpus, a zumpus, and a dumpus.", + "Stella is a shumpus and a zumpus and a dumpus.", + "Stella is a dumpus." + ] + }, + "in_context_example3": { + "question": "Every lempus is a brimpus. Wren is a lorpus. Everything that is a dumpus and an impus and a wumpus is a gorpus. Wren is a dumpus. Wren is a brimpus. Everything that is a dumpus and a lorpus and a brimpus is a gorpus. Everything that is a dumpus, an impus, and a wumpus is a lempus, a shumpus, and a rompus. Rompuses are tumpuses. Wren is a dumpus. Wren is a zumpus. Wren is an impus. Wren is a wumpus.", + "query": "Prove: Wren is a shumpus.", + "chain_of_thought": [ + "Wren is a wumpus.", + "Wren is an impus.", + "Wren is a dumpus.", + "Wren is a dumpus and an impus and a wumpus.", + "Everything that is a dumpus, an impus, and a wumpus is a lempus, a shumpus, and a rompus.", + "Wren is a lempus, a shumpus, and a rompus.", + "Wren is a shumpus." + ] + }, + "in_context_example4": { + "question": "Each wumpus is a lempus and a zumpus and a tumpus. Lempuses are numpuses. Every wumpus is a jompus. Everything that is a zumpus, a rompus, or a brimpus is a sterpus. Tumpuses are grimpuses. Stella is a sterpus. Stella is a wumpus.", + "query": "Prove: Stella is a zumpus, a vumpus, or a shumpus.", + "chain_of_thought": [ + "Stella is a wumpus.", + "Each wumpus is a lempus and a zumpus and a tumpus.", + "Stella is a lempus and a zumpus and a tumpus.", + "Stella is a zumpus.", + "Stella is a zumpus or a vumpus or a shumpus." + ] + }, + "in_context_example5": { + "question": "Tumpuses are rompuses. Brimpuses are lorpuses. Everything that is a rompus, an impus, or a zumpus is a sterpus. Every brimpus is a tumpus, an impus, and a jompus. Every jompus is a wumpus. Rex is a numpus. Rex is a brimpus.", + "query": "Prove: Rex is a grimpus or a yumpus or an impus.", + "chain_of_thought": [ + "Rex is a brimpus.", + "Every brimpus is a tumpus, an impus, and a jompus.", + "Rex is a tumpus and an impus and a jompus.", + "Rex is an impus.", + "Rex is a grimpus or a yumpus or an impus." + ] + }, + "in_context_example6": { + "question": "Each tumpus is a zumpus. Everything that is a gorpus or a shumpus or a grimpus is a yumpus and a tumpus and a dumpus. Dumpuses are jompuses. Everything that is a numpus, a shumpus, or a zumpus is a wumpus. Everything that is a gorpus, a shumpus, or a grimpus is a brimpus. Rex is a numpus. Rex is a shumpus.", + "query": "Prove: Rex is a yumpus.", + "chain_of_thought": [ + "Rex is a shumpus.", + "Rex is a gorpus, a shumpus, or a grimpus.", + "Everything that is a gorpus or a shumpus or a grimpus is a yumpus and a tumpus and a dumpus.", + "Rex is a yumpus, a tumpus, and a dumpus.", + "Rex is a yumpus." + ] + }, + "in_context_example7": { + "question": "Tumpuses are lempuses. Every rompus is a sterpus. Sterpuses are not zumpuses. Fae is an impus. Impuses are zumpuses. Rompuses are brimpuses. Each lorpus is an impus. Sterpuses are yumpuses. Gorpuses are tumpuses, zumpuses, and lorpuses. Gorpuses are dumpuses. Fae is a wumpus. Fae is a rompus.", + "query": "Prove: Fae is not a gorpus.", + "chain_of_thought": [ + "Fae is a rompus.", + "Every rompus is a sterpus.", + "Fae is a sterpus.", + "Sterpuses are not zumpuses.", + "Fae is not a zumpus.\n\n", + "Assume Fae is a gorpus.", + "Gorpuses are tumpuses, zumpuses, and lorpuses.", + "Fae is a tumpus and a zumpus and a lorpus.", + "Fae is a zumpus.", + "This contradicts with Fae is not a zumpus.", + "Fae is not a gorpus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a tumpus or a rompus or a zumpus is a dumpus, a numpus, and a gorpus. Each dumpus is a vumpus. Everything that is a zumpus or a jompus or a grimpus is an impus. Everything that is a tumpus or a rompus or a zumpus is a shumpus. Numpuses are wumpuses. Sam is an impus. Sam is a zumpus.", + "query": "Prove: Sam is a gorpus.", + "chain_of_thought": [ + "Sam is a zumpus.", + "Sam is a tumpus or a rompus or a zumpus.", + "Everything that is a tumpus or a rompus or a zumpus is a dumpus, a numpus, and a gorpus.", + "Sam is a dumpus, a numpus, and a gorpus.", + "Sam is a gorpus." + ] + } + }, + "example47": { + "in_context_example0": { + "question": "Sterpuses are rompuses. Everything that is a shumpus or a tumpus or a zumpus is a vumpus. Every jompus is a zumpus. Everything that is a brimpus or a shumpus or a grimpus is a yumpus. Everything that is a brimpus or a shumpus or a grimpus is a jompus and a sterpus and a lempus. Polly is a rompus. Polly is a shumpus.", + "query": "Prove: Polly is a lempus.", + "chain_of_thought": [ + "Polly is a shumpus.", + "Polly is a brimpus, a shumpus, or a grimpus.", + "Everything that is a brimpus or a shumpus or a grimpus is a jompus and a sterpus and a lempus.", + "Polly is a jompus and a sterpus and a lempus.", + "Polly is a lempus." + ] + }, + "in_context_example1": { + "question": "Everything that is a rompus, a jompus, or a lorpus is a zumpus. Everything that is a rompus or a jompus or a lorpus is an impus. Every gorpus is a vumpus. Everything that is a grimpus, a rompus, or a lempus is a yumpus. Brimpuses are shumpuses. Max is a shumpus and a grimpus and a lempus. Max is a rompus, a brimpus, and a gorpus.", + "query": "Prove: Max is an impus.", + "chain_of_thought": [ + "Max is a rompus, a brimpus, and a gorpus.", + "Max is a rompus.", + "Max is a rompus or a jompus or a lorpus.", + "Everything that is a rompus or a jompus or a lorpus is an impus.", + "Max is an impus." + ] + }, + "in_context_example2": { + "question": "Wren is a numpus. Everything that is a numpus and a shumpus and a rompus is a wumpus. Everything that is a brimpus or a sterpus or a shumpus is a yumpus. Wren is a rompus. Everything that is a numpus and a zumpus and a jompus is a grimpus. Everything that is a numpus, a zumpus, and a jompus is a sterpus. Wren is a shumpus. Wren is a numpus. Wren is a zumpus. Wren is a vumpus. Wren is a jompus.", + "query": "Prove: Wren is an impus or a lempus or a sterpus.", + "chain_of_thought": [ + "Wren is a jompus.", + "Wren is a zumpus.", + "Wren is a numpus.", + "Wren is a numpus, a zumpus, and a jompus.", + "Everything that is a numpus, a zumpus, and a jompus is a sterpus.", + "Wren is a sterpus.", + "Wren is an impus or a lempus or a sterpus." + ] + }, + "in_context_example3": { + "question": "Each vumpus is a rompus. Yumpuses are sterpuses. Each impus is a wumpus and a vumpus and a yumpus. Every impus is a lempus. Everything that is a gorpus, a wumpus, or a sterpus is a tumpus. Max is a lorpus. Max is an impus.", + "query": "Prove: Max is a wumpus or a grimpus or a brimpus.", + "chain_of_thought": [ + "Max is an impus.", + "Each impus is a wumpus and a vumpus and a yumpus.", + "Max is a wumpus, a vumpus, and a yumpus.", + "Max is a wumpus.", + "Max is a wumpus, a grimpus, or a brimpus." + ] + }, + "in_context_example4": { + "question": "Every tumpus is an impus. Everything that is a brimpus or a grimpus or a jompus is a gorpus. Everything that is a brimpus, a grimpus, or a jompus is a lempus. Yumpuses are sterpuses. Everything that is a vumpus, a brimpus, or a shumpus is a zumpus. Polly is a lempus and an impus and a sterpus. Polly is a tumpus, a brimpus, and a yumpus.", + "query": "Prove: Polly is a gorpus.", + "chain_of_thought": [ + "Polly is a tumpus, a brimpus, and a yumpus.", + "Polly is a brimpus.", + "Polly is a brimpus or a grimpus or a jompus.", + "Everything that is a brimpus or a grimpus or a jompus is a gorpus.", + "Polly is a gorpus." + ] + }, + "in_context_example5": { + "question": "Each dumpus is a zumpus. Everything that is a lempus, a jompus, or a numpus is a rompus. Jompuses are impuses. Everything that is a lempus or a jompus or a numpus is a lorpus. Everything that is a numpus, a gorpus, or a vumpus is a lorpus. Stella is a gorpus, a yumpus, and a vumpus. Stella is a jompus, a dumpus, and a numpus.", + "query": "Prove: Stella is a rompus.", + "chain_of_thought": [ + "Stella is a jompus, a dumpus, and a numpus.", + "Stella is a numpus.", + "Stella is a lempus, a jompus, or a numpus.", + "Everything that is a lempus, a jompus, or a numpus is a rompus.", + "Stella is a rompus." + ] + }, + "in_context_example6": { + "question": "Jompuses are lempuses. Tumpuses are vumpuses. Everything that is a brimpus, an impus, or a wumpus is a dumpus. Each yumpus is a tumpus, a jompus, and a brimpus. Yumpuses are impuses. Polly is an impus. Polly is a yumpus.", + "query": "Prove: Polly is a rompus, a brimpus, or a shumpus.", + "chain_of_thought": [ + "Polly is a yumpus.", + "Each yumpus is a tumpus, a jompus, and a brimpus.", + "Polly is a tumpus, a jompus, and a brimpus.", + "Polly is a brimpus.", + "Polly is a rompus or a brimpus or a shumpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a gorpus, a rompus, or a dumpus is a zumpus, a numpus, and a vumpus. Everything that is a gorpus or a rompus or a dumpus is an impus. Each zumpus is a yumpus. Every numpus is an impus. Everything that is a sterpus or a gorpus or a lorpus is a lempus. Polly is a brimpus. Polly is a gorpus.", + "query": "Prove: Polly is a vumpus.", + "chain_of_thought": [ + "Polly is a gorpus.", + "Polly is a gorpus or a rompus or a dumpus.", + "Everything that is a gorpus, a rompus, or a dumpus is a zumpus, a numpus, and a vumpus.", + "Polly is a zumpus and a numpus and a vumpus.", + "Polly is a vumpus." + ] + }, + "test_example": { + "question": "Sterpuses are yumpuses. Each rompus is a wumpus. Each sterpus is a jompus. Everything that is a numpus, a yumpus, or a gorpus is a wumpus. Every lorpus is a grimpus. Alex is a jompus, a grimpus, and a gorpus. Alex is a sterpus, a lorpus, and a rompus.", + "query": "Prove: Alex is a yumpus or a lempus or an impus.", + "chain_of_thought": [ + "Alex is a sterpus, a lorpus, and a rompus.", + "Alex is a sterpus.", + "Sterpuses are yumpuses.", + "Alex is a yumpus.", + "Alex is a yumpus or a lempus or an impus." + ] + } + }, + "example48": { + "in_context_example0": { + "question": "Each rompus is a lorpus. Rompuses are zumpuses. Every wumpus is a zumpus. Everything that is a lorpus, a dumpus, or a zumpus is a lempus. Every jompus is a dumpus. Sam is a yumpus and a zumpus and a brimpus. Sam is a rompus, a jompus, and a wumpus.", + "query": "Prove: Sam is a jompus or a lorpus or a tumpus.", + "chain_of_thought": [ + "Sam is a rompus, a jompus, and a wumpus.", + "Sam is a rompus.", + "Each rompus is a lorpus.", + "Sam is a lorpus.", + "Sam is a jompus, a lorpus, or a tumpus." + ] + }, + "in_context_example1": { + "question": "Max is a rompus. Dumpuses are yumpuses. Every rompus is a wumpus. Each lempus is a wumpus, a lorpus, and a vumpus. Every vumpus is a tumpus. Every lempus is a zumpus. Each jompus is a rompus. Lorpuses are zumpuses. Max is a numpus and a sterpus and a tumpus. Max is not a wumpus and Max is a jompus and Max is a dumpus.", + "query": "Prove: Max is not a lempus.", + "chain_of_thought": [ + "Max is not a wumpus, Max is a jompus, and Max is a dumpus.", + "Max is not a wumpus.\n\n", + "Assume Max is a lempus.", + "Each lempus is a wumpus, a lorpus, and a vumpus.", + "Max is a wumpus and a lorpus and a vumpus.", + "Max is a wumpus.", + "This contradicts with Max is not a wumpus.", + "Max is not a lempus.\n\n" + ] + }, + "in_context_example2": { + "question": "Each tumpus is a gorpus. Each shumpus is a vumpus and a grimpus and a tumpus. Vumpuses are dumpuses. Everything that is a jompus, a grimpus, or a dumpus is a sterpus. Every shumpus is a gorpus. Rex is a yumpus. Rex is a shumpus.", + "query": "Prove: Rex is a lorpus or a rompus or a grimpus.", + "chain_of_thought": [ + "Rex is a shumpus.", + "Each shumpus is a vumpus and a grimpus and a tumpus.", + "Rex is a vumpus, a grimpus, and a tumpus.", + "Rex is a grimpus.", + "Rex is a lorpus or a rompus or a grimpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a sterpus, an impus, or a vumpus is a numpus, a yumpus, and a brimpus. Everything that is a sterpus, an impus, or a vumpus is a wumpus. Everything that is a sterpus, a grimpus, or a shumpus is a gorpus. Yumpuses are gorpuses. Each numpus is a shumpus. Wren is a gorpus. Wren is a sterpus.", + "query": "Prove: Wren is a brimpus.", + "chain_of_thought": [ + "Wren is a sterpus.", + "Wren is a sterpus, an impus, or a vumpus.", + "Everything that is a sterpus, an impus, or a vumpus is a numpus, a yumpus, and a brimpus.", + "Wren is a numpus, a yumpus, and a brimpus.", + "Wren is a brimpus." + ] + }, + "in_context_example4": { + "question": "Each rompus is a yumpus. Everything that is a vumpus, a shumpus, or a brimpus is a lorpus. Alex is a rompus. Each numpus is not a yumpus. Everything that is a vumpus, a tumpus, or a zumpus is a yumpus. Gorpuses are grimpuses. Each jompus is a shumpus. Numpuses are grimpuses. Everything that is a vumpus, a tumpus, or a zumpus is a grimpus. Alex is a grimpus, a brimpus, and a wumpus. Alex is a numpus, a gorpus, and a jompus.", + "query": "Prove: Alex is not a vumpus.", + "chain_of_thought": [ + "Alex is a numpus, a gorpus, and a jompus.", + "Alex is a numpus.", + "Each numpus is not a yumpus.", + "Alex is not a yumpus.\n\n", + "Assume Alex is a vumpus.", + "Alex is a vumpus or a tumpus or a zumpus.", + "Everything that is a vumpus, a tumpus, or a zumpus is a yumpus.", + "Alex is a yumpus.", + "This contradicts with Alex is not a yumpus.", + "Alex is not a vumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Each rompus is a lorpus. Everything that is a yumpus or a lempus or a jompus is a numpus and a rompus and a vumpus. Every numpus is a dumpus. Everything that is a yumpus or a lempus or a jompus is a lorpus. Everything that is a yumpus, a tumpus, or a sterpus is a brimpus. Fae is a wumpus. Fae is a yumpus.", + "query": "Prove: Fae is a vumpus.", + "chain_of_thought": [ + "Fae is a yumpus.", + "Fae is a yumpus, a lempus, or a jompus.", + "Everything that is a yumpus or a lempus or a jompus is a numpus and a rompus and a vumpus.", + "Fae is a numpus and a rompus and a vumpus.", + "Fae is a vumpus." + ] + }, + "in_context_example6": { + "question": "Each gorpus is a brimpus. Each lorpus is an impus. Dumpuses are yumpuses and grimpuses and lorpuses. Sam is a brimpus. Yumpuses are brimpuses. Brimpuses are grimpuses. Every dumpus is a shumpus. Each zumpus is a sterpus. Sam is a rompus and an impus and a brimpus. Sam is not a grimpus, Sam is a zumpus, and Sam is a gorpus.", + "query": "Prove: Sam is not a dumpus.", + "chain_of_thought": [ + "Sam is not a grimpus and Sam is a zumpus and Sam is a gorpus.", + "Sam is not a grimpus.\n\n", + "Assume Sam is a dumpus.", + "Dumpuses are yumpuses and grimpuses and lorpuses.", + "Sam is a yumpus and a grimpus and a lorpus.", + "Sam is a grimpus.", + "This contradicts with Sam is not a grimpus.", + "Sam is not a dumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Everything that is a gorpus, a shumpus, or a brimpus is a tumpus. Impuses are gorpuses, wumpuses, and rompuses. Impuses are dumpuses. Rompuses are jompuses. Every wumpus is a yumpus. Polly is a jompus. Polly is an impus.", + "query": "Prove: Polly is a lempus or a grimpus or a gorpus.", + "chain_of_thought": [ + "Polly is an impus.", + "Impuses are gorpuses, wumpuses, and rompuses.", + "Polly is a gorpus and a wumpus and a rompus.", + "Polly is a gorpus.", + "Polly is a lempus, a grimpus, or a gorpus." + ] + }, + "test_example": { + "question": "Vumpuses are impuses. Everything that is a wumpus, a rompus, or a grimpus is a jompus. Lorpuses are tumpuses. Everything that is a wumpus or a rompus or a grimpus is a lorpus, a vumpus, and a brimpus. Everything that is a wumpus, a tumpus, or a numpus is a gorpus. Rex is a lempus. Rex is a wumpus.", + "query": "Prove: Rex is a brimpus.", + "chain_of_thought": [ + "Rex is a wumpus.", + "Rex is a wumpus, a rompus, or a grimpus.", + "Everything that is a wumpus or a rompus or a grimpus is a lorpus, a vumpus, and a brimpus.", + "Rex is a lorpus and a vumpus and a brimpus.", + "Rex is a brimpus." + ] + } + }, + "example49": { + "in_context_example0": { + "question": "Everything that is a lorpus or a sterpus or a rompus is a tumpus, a brimpus, and a gorpus. Each tumpus is a grimpus. Everything that is a lorpus or a sterpus or a rompus is a zumpus. Everything that is a rompus or a dumpus or a yumpus is a zumpus. Each gorpus is a dumpus. Sally is a lempus. Sally is a rompus.", + "query": "Prove: Sally is a brimpus.", + "chain_of_thought": [ + "Sally is a rompus.", + "Sally is a lorpus, a sterpus, or a rompus.", + "Everything that is a lorpus or a sterpus or a rompus is a tumpus, a brimpus, and a gorpus.", + "Sally is a tumpus, a brimpus, and a gorpus.", + "Sally is a brimpus." + ] + }, + "in_context_example1": { + "question": "Each wumpus is a rompus, a lempus, and a zumpus. Every yumpus is a lempus. Each rompus is a numpus. Zumpuses are impuses. Each wumpus is a brimpus. Alex is a yumpus. Every dumpus is an impus. Grimpuses are shumpuses. Alex is a tumpus and a vumpus and a yumpus. Alex is a dumpus, Alex is not a lempus, and Alex is a grimpus.", + "query": "Prove: Alex is not a wumpus.", + "chain_of_thought": [ + "Alex is a dumpus, Alex is not a lempus, and Alex is a grimpus.", + "Alex is not a lempus.\n\n", + "Assume Alex is a wumpus.", + "Each wumpus is a rompus, a lempus, and a zumpus.", + "Alex is a rompus and a lempus and a zumpus.", + "Alex is a lempus.", + "This contradicts with Alex is not a lempus.", + "Alex is not a wumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Max is a brimpus. Everything that is a jompus and a shumpus and a yumpus is a grimpus. Max is a jompus. Max is a lorpus. Everything that is a jompus, a shumpus, and a yumpus is a sterpus and an impus and a rompus. Every impus is a vumpus. Every sterpus is a wumpus. Everything that is a lorpus and a jompus and a brimpus is a grimpus. Max is a jompus. Max is a zumpus. Max is a shumpus. Max is a yumpus.", + "query": "Prove: Max is a rompus.", + "chain_of_thought": [ + "Max is a yumpus.", + "Max is a shumpus.", + "Max is a jompus.", + "Max is a jompus, a shumpus, and a yumpus.", + "Everything that is a jompus, a shumpus, and a yumpus is a sterpus and an impus and a rompus.", + "Max is a sterpus and an impus and a rompus.", + "Max is a rompus." + ] + }, + "in_context_example3": { + "question": "Everything that is a jompus, a yumpus, or a dumpus is a grimpus. Everything that is a jompus, a yumpus, or a dumpus is not a zumpus. Every lorpus is a zumpus. Everything that is an impus or a jompus or a rompus is a grimpus. Sterpuses are rompuses. Each shumpus is a brimpus. Polly is a lorpus. Lempuses are impuses. Shumpuses are zumpuses, sterpuses, and lempuses. Polly is a numpus. Polly is a jompus.", + "query": "Prove: Polly is not a shumpus.", + "chain_of_thought": [ + "Polly is a jompus.", + "Polly is a jompus or a yumpus or a dumpus.", + "Everything that is a jompus, a yumpus, or a dumpus is not a zumpus.", + "Polly is not a zumpus.\n\n", + "Assume Polly is a shumpus.", + "Shumpuses are zumpuses, sterpuses, and lempuses.", + "Polly is a zumpus, a sterpus, and a lempus.", + "Polly is a zumpus.", + "This contradicts with Polly is not a zumpus.", + "Polly is not a shumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Lorpuses are grimpuses. Each lorpus is a zumpus. Each rompus is not a yumpus. Impuses are yumpuses. Each grimpus is a wumpus. Rex is a dumpus. Vumpuses are shumpuses. Rex is a numpus. Each grimpus is a zumpus. Rex is a wumpus. Everything that is a wumpus, a dumpus, and a numpus is a sterpus. Rex is a lorpus. Rex is a wumpus, a vumpus, and a yumpus. Rex is a jompus. Rex is a rompus.", + "query": "Prove: Rex is a wumpus, Rex is a shumpus, and Rex is not an impus.", + "chain_of_thought": [ + "Rex is a rompus.", + "Each rompus is not a yumpus.", + "Rex is not a yumpus.\n\n", + "Assume Rex is an impus.", + "Impuses are yumpuses.", + "Rex is a yumpus.", + "This contradicts with Rex is not a yumpus.", + "Rex is not an impus.\n\n", + "Rex is a wumpus and a vumpus and a yumpus.", + "Rex is a vumpus.", + "Vumpuses are shumpuses.", + "Rex is a shumpus.", + "Rex is a lorpus.", + "Lorpuses are grimpuses.", + "Rex is a grimpus.", + "Each grimpus is a wumpus.", + "Rex is a wumpus.", + "Rex is a wumpus and Rex is a shumpus and Rex is not an impus." + ] + }, + "in_context_example5": { + "question": "Everything that is a zumpus, a lorpus, or an impus is a sterpus. Numpuses are rompuses. Everything that is a zumpus or a dumpus or a grimpus is a vumpus. Everything that is a zumpus, a lorpus, or an impus is a gorpus, a numpus, and a wumpus. Gorpuses are vumpuses. Alex is a dumpus. Alex is a zumpus.", + "query": "Prove: Alex is a wumpus.", + "chain_of_thought": [ + "Alex is a zumpus.", + "Alex is a zumpus or a lorpus or an impus.", + "Everything that is a zumpus, a lorpus, or an impus is a gorpus, a numpus, and a wumpus.", + "Alex is a gorpus and a numpus and a wumpus.", + "Alex is a wumpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a vumpus, a tumpus, or an impus is a lorpus. Wumpuses are grimpuses. Everything that is a rompus, a vumpus, or a gorpus is a grimpus. Lempuses are sterpuses. Everything that is a rompus or a vumpus or a gorpus is a brimpus. Every shumpus is a wumpus. Alex is a wumpus. Alex is a dumpus, a tumpus, and a numpus. Alex is a shumpus, Alex is not a grimpus, and Alex is a lempus.", + "query": "Prove: Alex is not a vumpus.", + "chain_of_thought": [ + "Alex is a shumpus, Alex is not a grimpus, and Alex is a lempus.", + "Alex is not a grimpus.\n\n", + "Assume Alex is a vumpus.", + "Alex is a rompus, a vumpus, or a gorpus.", + "Everything that is a rompus, a vumpus, or a gorpus is a grimpus.", + "Alex is a grimpus.", + "This contradicts with Alex is not a grimpus.", + "Alex is not a vumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Max is a grimpus. Everything that is a grimpus, a vumpus, and a dumpus is a jompus. Max is a numpus. Each sterpus is a rompus. Everything that is a grimpus and a numpus and a yumpus is a brimpus. Gorpuses are brimpuses. Max is a yumpus. Everything that is a grimpus, a vumpus, and a dumpus is a lempus, a gorpus, and a sterpus. Max is a grimpus. Max is a vumpus. Max is a zumpus. Max is a dumpus.", + "query": "Prove: Max is a lempus.", + "chain_of_thought": [ + "Max is a dumpus.", + "Max is a vumpus.", + "Max is a grimpus.", + "Max is a grimpus, a vumpus, and a dumpus.", + "Everything that is a grimpus, a vumpus, and a dumpus is a lempus, a gorpus, and a sterpus.", + "Max is a lempus, a gorpus, and a sterpus.", + "Max is a lempus." + ] + }, + "test_example": { + "question": "Everything that is a lempus or a gorpus or a tumpus is a shumpus. Sally is a yumpus. Vumpuses are shumpuses. Zumpuses are brimpuses. Everything that is a yumpus or a gorpus or a jompus is a sterpus. Each yumpus is a rompus. Everything that is a lempus, a gorpus, or a tumpus is a rompus. Sally is a shumpus and a wumpus and a sterpus. Sally is not a rompus, Sally is a zumpus, and Sally is a vumpus.", + "query": "Prove: Sally is not a gorpus.", + "chain_of_thought": [ + "Sally is not a rompus, Sally is a zumpus, and Sally is a vumpus.", + "Sally is not a rompus.\n\n", + "Assume Sally is a gorpus.", + "Sally is a lempus, a gorpus, or a tumpus.", + "Everything that is a lempus, a gorpus, or a tumpus is a rompus.", + "Sally is a rompus.", + "This contradicts with Sally is not a rompus.", + "Sally is not a gorpus.\n\n" + ] + } + }, + "example50": { + "in_context_example0": { + "question": "Each vumpus is a lempus, a yumpus, and a brimpus. Each lempus is a wumpus. Each vumpus is a zumpus. Every brimpus is a shumpus. Everything that is a tumpus, a yumpus, or an impus is a gorpus. Rex is a zumpus. Rex is a vumpus.", + "query": "Prove: Rex is a yumpus, a lorpus, or a rompus.", + "chain_of_thought": [ + "Rex is a vumpus.", + "Each vumpus is a lempus, a yumpus, and a brimpus.", + "Rex is a lempus and a yumpus and a brimpus.", + "Rex is a yumpus.", + "Rex is a yumpus, a lorpus, or a rompus." + ] + }, + "in_context_example1": { + "question": "Polly is a tumpus. Polly is an impus. Everything that is a tumpus and a gorpus and a rompus is a lempus. Polly is a zumpus. Everything that is a zumpus, a tumpus, and an impus is a jompus. Everything that is a tumpus and a gorpus and a rompus is a brimpus, a sterpus, and a yumpus. Every sterpus is a shumpus. Every yumpus is a jompus. Polly is a tumpus. Polly is a lorpus. Polly is a gorpus. Polly is a rompus.", + "query": "Prove: Polly is a brimpus.", + "chain_of_thought": [ + "Polly is a rompus.", + "Polly is a gorpus.", + "Polly is a tumpus.", + "Polly is a tumpus and a gorpus and a rompus.", + "Everything that is a tumpus and a gorpus and a rompus is a brimpus, a sterpus, and a yumpus.", + "Polly is a brimpus and a sterpus and a yumpus.", + "Polly is a brimpus." + ] + }, + "in_context_example2": { + "question": "Vumpuses are grimpuses, dumpuses, and shumpuses. Everything that is a sterpus or a wumpus or a yumpus is a rompus. Everything that is a wumpus or a lorpus or a zumpus is a lempus. Each lempus is a dumpus. Sally is a lempus. Shumpuses are lempuses. Each vumpus is a numpus. Everything that is a sterpus or a wumpus or a yumpus is not a dumpus. Grimpuses are lorpuses. Sally is a zumpus. Sally is a wumpus.", + "query": "Prove: Sally is not a vumpus.", + "chain_of_thought": [ + "Sally is a wumpus.", + "Sally is a sterpus, a wumpus, or a yumpus.", + "Everything that is a sterpus or a wumpus or a yumpus is not a dumpus.", + "Sally is not a dumpus.\n\n", + "Assume Sally is a vumpus.", + "Vumpuses are grimpuses, dumpuses, and shumpuses.", + "Sally is a grimpus and a dumpus and a shumpus.", + "Sally is a dumpus.", + "This contradicts with Sally is not a dumpus.", + "Sally is not a vumpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Everything that is a lempus, a rompus, or a gorpus is a shumpus. Everything that is a sterpus, a gorpus, or a shumpus is a dumpus. Every zumpus is a yumpus. Jompuses are sterpuses. Everything that is a lempus or a rompus or a gorpus is a jompus and a numpus and a zumpus. Polly is a brimpus. Polly is a gorpus.", + "query": "Prove: Polly is a numpus.", + "chain_of_thought": [ + "Polly is a gorpus.", + "Polly is a lempus, a rompus, or a gorpus.", + "Everything that is a lempus or a rompus or a gorpus is a jompus and a numpus and a zumpus.", + "Polly is a jompus and a numpus and a zumpus.", + "Polly is a numpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a tumpus or a rompus or a gorpus is a sterpus. Everything that is a tumpus, a rompus, or a gorpus is an impus. Everything that is a wumpus or a gorpus or a shumpus is a grimpus. Impuses are wumpuses. Every zumpus is a sterpus. Max is a yumpus, a vumpus, and a lorpus. Max is a gorpus and an impus and a zumpus.", + "query": "Prove: Max is an impus.", + "chain_of_thought": [ + "Max is a gorpus and an impus and a zumpus.", + "Max is a gorpus.", + "Max is a tumpus or a rompus or a gorpus.", + "Everything that is a tumpus, a rompus, or a gorpus is an impus.", + "Max is an impus." + ] + }, + "in_context_example5": { + "question": "Every shumpus is an impus. Sterpuses are gorpuses. Everything that is a numpus or a jompus or a brimpus is a shumpus. Everything that is a grimpus or a brimpus or a yumpus is a gorpus. Everything that is a numpus, a jompus, or a brimpus is a zumpus. Sally is a grimpus and a vumpus and a rompus. Sally is a brimpus, a shumpus, and a sterpus.", + "query": "Prove: Sally is a shumpus.", + "chain_of_thought": [ + "Sally is a brimpus and a shumpus and a sterpus.", + "Sally is a brimpus.", + "Sally is a numpus or a jompus or a brimpus.", + "Everything that is a numpus or a jompus or a brimpus is a shumpus.", + "Sally is a shumpus." + ] + }, + "in_context_example6": { + "question": "Dumpuses are shumpuses. Every yumpus is a vumpus. Yumpuses are lorpuses. Wumpuses are numpuses. Everything that is a shumpus or a vumpus or a lorpus is a grimpus. Stella is a lorpus and a zumpus and a rompus. Stella is a yumpus, a wumpus, and a dumpus.", + "query": "Prove: Stella is a jompus or an impus or a vumpus.", + "chain_of_thought": [ + "Stella is a yumpus, a wumpus, and a dumpus.", + "Stella is a yumpus.", + "Every yumpus is a vumpus.", + "Stella is a vumpus.", + "Stella is a jompus, an impus, or a vumpus." + ] + }, + "in_context_example7": { + "question": "Polly is a wumpus. Everything that is a grimpus, a tumpus, and a vumpus is a lempus. Brimpuses are lorpuses. Vumpuses are impuses. Polly is a lorpus. Polly is a numpus. Everything that is a grimpus, a numpus, and a wumpus is an impus. Polly is a grimpus. Each lorpus is a lempus. Everything that is a grimpus, a tumpus, and a vumpus is a zumpus. Polly is a jompus and a gorpus and a zumpus. Polly is a brimpus, Polly is a vumpus, and Polly is not a lempus. Polly is a grimpus. Polly is a tumpus.", + "query": "Prove: Polly is not a vumpus.", + "chain_of_thought": [ + "Polly is a brimpus, Polly is a vumpus, and Polly is not a lempus.", + "Polly is not a lempus.\n\n", + "Assume Polly is a vumpus.", + "Polly is a tumpus.", + "Polly is a grimpus.", + "Polly is a grimpus and a tumpus and a vumpus.", + "Everything that is a grimpus, a tumpus, and a vumpus is a lempus.", + "Polly is a lempus.", + "This contradicts with Polly is not a lempus.", + "Polly is not a vumpus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a vumpus, a brimpus, and a jompus is an impus. Stella is a vumpus. Stella is an impus. Each numpus is a dumpus. Everything that is an impus and a vumpus and a yumpus is a wumpus. Everything that is a vumpus and a brimpus and a jompus is a lempus. Each numpus is a tumpus. Tumpuses are impuses. Stella is a yumpus. Yumpuses are lempuses. Tumpuses are not lempuses. Stella is a dumpus. Stella is a numpus. Stella is a vumpus. Stella is a brimpus.", + "query": "Prove: Stella is not a jompus.", + "chain_of_thought": [ + "Stella is a numpus.", + "Each numpus is a tumpus.", + "Stella is a tumpus.", + "Tumpuses are not lempuses.", + "Stella is not a lempus.\n\n", + "Assume Stella is a jompus.", + "Stella is a brimpus.", + "Stella is a vumpus.", + "Stella is a vumpus, a brimpus, and a jompus.", + "Everything that is a vumpus and a brimpus and a jompus is a lempus.", + "Stella is a lempus.", + "This contradicts with Stella is not a lempus.", + "Stella is not a jompus.\n\n" + ] + } + }, + "example51": { + "in_context_example0": { + "question": "Numpuses are zumpuses. Each grimpus is a vumpus. Everything that is a lempus and a brimpus and a yumpus is a zumpus. Wren is a brimpus. Each sterpus is a lempus. Numpuses are brimpuses. Wren is a lempus. Wren is a yumpus. Vumpuses are zumpuses. Lorpuses are rompuses. Wren is an impus, a zumpus, and a yumpus. Wren is a numpus, a vumpus, and a sterpus. Wren is a gorpus and Wren is not a rompus and Wren is a sterpus. Wren is a gorpus and Wren is a tumpus and Wren is not a vumpus.", + "query": "Prove: Wren is a brimpus, Wren is not a lorpus, and Wren is not a grimpus.", + "chain_of_thought": [ + "Wren is a gorpus, Wren is a tumpus, and Wren is not a vumpus.", + "Wren is not a vumpus.\n\n", + "Assume Wren is a grimpus.", + "Each grimpus is a vumpus.", + "Wren is a vumpus.", + "This contradicts with Wren is not a vumpus.", + "Wren is not a grimpus.\n\n", + "Wren is a gorpus and Wren is not a rompus and Wren is a sterpus.", + "Wren is not a rompus.\n\n", + "Assume Wren is a lorpus.", + "Lorpuses are rompuses.", + "Wren is a rompus.", + "This contradicts with Wren is not a rompus.", + "Wren is not a lorpus.\n\n", + "Wren is a numpus, a vumpus, and a sterpus.", + "Wren is a numpus.", + "Numpuses are brimpuses.", + "Wren is a brimpus.", + "Wren is a brimpus and Wren is not a lorpus and Wren is not a grimpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a brimpus or a shumpus or a tumpus is a sterpus and a zumpus and a numpus. Each numpus is a lorpus. Each zumpus is a lempus. Everything that is a lorpus, a tumpus, or a rompus is a wumpus. Everything that is a brimpus, a shumpus, or a tumpus is a gorpus. Polly is a grimpus. Polly is a tumpus.", + "query": "Prove: Polly is a sterpus.", + "chain_of_thought": [ + "Polly is a tumpus.", + "Polly is a brimpus or a shumpus or a tumpus.", + "Everything that is a brimpus or a shumpus or a tumpus is a sterpus and a zumpus and a numpus.", + "Polly is a sterpus, a zumpus, and a numpus.", + "Polly is a sterpus." + ] + }, + "in_context_example2": { + "question": "Every vumpus is a lempus. Fae is a grimpus. Fae is a gorpus. Fae is an impus. Everything that is a sterpus, a shumpus, and a vumpus is a rompus. Tumpuses are wumpuses. Tumpuses are grimpuses. Everything that is a gorpus, a grimpus, and an impus is a wumpus. Sterpuses are impuses. Every lorpus is a yumpus. Fae is a tumpus, a sterpus, and a vumpus. Fae is a dumpus, Fae is a numpus, and Fae is not a yumpus. Fae is a gorpus, an impus, and a zumpus. Fae is a sterpus. Fae is a shumpus. Fae is a vumpus.", + "query": "Prove: Fae is a grimpus, Fae is not a lorpus, and Fae is a rompus.", + "chain_of_thought": [ + "Fae is a vumpus.", + "Fae is a shumpus.", + "Fae is a sterpus.", + "Fae is a sterpus, a shumpus, and a vumpus.", + "Everything that is a sterpus, a shumpus, and a vumpus is a rompus.", + "Fae is a rompus.", + "Fae is a dumpus, Fae is a numpus, and Fae is not a yumpus.", + "Fae is not a yumpus.\n\n", + "Assume Fae is a lorpus.", + "Every lorpus is a yumpus.", + "Fae is a yumpus.", + "This contradicts with Fae is not a yumpus.", + "Fae is not a lorpus.\n\n", + "Fae is a tumpus and a sterpus and a vumpus.", + "Fae is a tumpus.", + "Tumpuses are grimpuses.", + "Fae is a grimpus.", + "Fae is a grimpus, Fae is not a lorpus, and Fae is a rompus." + ] + }, + "in_context_example3": { + "question": "Everything that is a grimpus, a gorpus, and a vumpus is a brimpus. Zumpuses are vumpuses. Sally is a gorpus. Each impus is a numpus. Everything that is a grimpus, a lempus, and a rompus is a dumpus, a zumpus, and an impus. Sally is a vumpus. Everything that is a grimpus, a lempus, and a rompus is a gorpus. Sally is a grimpus. Sally is a grimpus. Sally is a lempus. Sally is a tumpus. Sally is a rompus.", + "query": "Prove: Sally is a dumpus.", + "chain_of_thought": [ + "Sally is a rompus.", + "Sally is a lempus.", + "Sally is a grimpus.", + "Sally is a grimpus, a lempus, and a rompus.", + "Everything that is a grimpus, a lempus, and a rompus is a dumpus, a zumpus, and an impus.", + "Sally is a dumpus and a zumpus and an impus.", + "Sally is a dumpus." + ] + }, + "in_context_example4": { + "question": "Dumpuses are impuses and yumpuses and rompuses. Yumpuses are tumpuses. Every gorpus is a rompus. Wumpuses are gorpuses. Each dumpus is a shumpus. Vumpuses are numpuses. Impuses are jompuses. Fae is a gorpus. Fae is a lorpus, a sterpus, and a lempus. Fae is a wumpus, Fae is not a rompus, and Fae is a vumpus.", + "query": "Prove: Fae is not a dumpus.", + "chain_of_thought": [ + "Fae is a wumpus, Fae is not a rompus, and Fae is a vumpus.", + "Fae is not a rompus.\n\n", + "Assume Fae is a dumpus.", + "Dumpuses are impuses and yumpuses and rompuses.", + "Fae is an impus and a yumpus and a rompus.", + "Fae is a rompus.", + "This contradicts with Fae is not a rompus.", + "Fae is not a dumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Tumpuses are rompuses. Impuses are rompuses. Impuses are numpuses, yumpuses, and tumpuses. Everything that is a wumpus or a numpus or a dumpus is a zumpus. Yumpuses are lempuses. Stella is a wumpus. Stella is an impus.", + "query": "Prove: Stella is a jompus or a sterpus or a numpus.", + "chain_of_thought": [ + "Stella is an impus.", + "Impuses are numpuses, yumpuses, and tumpuses.", + "Stella is a numpus and a yumpus and a tumpus.", + "Stella is a numpus.", + "Stella is a jompus or a sterpus or a numpus." + ] + }, + "in_context_example6": { + "question": "Every dumpus is a vumpus, a sterpus, and an impus. Every impus is a brimpus. Every dumpus is a yumpus. Everything that is a sterpus or a grimpus or a zumpus is a shumpus. Vumpuses are numpuses. Polly is a numpus. Polly is a dumpus.", + "query": "Prove: Polly is a wumpus or a lempus or a sterpus.", + "chain_of_thought": [ + "Polly is a dumpus.", + "Every dumpus is a vumpus, a sterpus, and an impus.", + "Polly is a vumpus, a sterpus, and an impus.", + "Polly is a sterpus.", + "Polly is a wumpus, a lempus, or a sterpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a yumpus, a shumpus, or a jompus is a vumpus, a zumpus, and a dumpus. Everything that is a yumpus or a shumpus or a jompus is a rompus. Everything that is a yumpus, an impus, or a numpus is a tumpus. Every dumpus is a grimpus. Vumpuses are wumpuses. Max is an impus. Max is a yumpus.", + "query": "Prove: Max is a zumpus.", + "chain_of_thought": [ + "Max is a yumpus.", + "Max is a yumpus, a shumpus, or a jompus.", + "Everything that is a yumpus, a shumpus, or a jompus is a vumpus, a zumpus, and a dumpus.", + "Max is a vumpus and a zumpus and a dumpus.", + "Max is a zumpus." + ] + }, + "test_example": { + "question": "Each wumpus is a lorpus. Polly is a sterpus. Sterpuses are shumpuses. Wumpuses are impuses. Yumpuses are brimpuses. Lempuses are dumpuses. Gorpuses are shumpuses and wumpuses and lempuses. Gorpuses are impuses. Polly is a zumpus, a jompus, and a vumpus. Polly is a yumpus and Polly is not a shumpus and Polly is a wumpus.", + "query": "Prove: Polly is not a gorpus.", + "chain_of_thought": [ + "Polly is a yumpus and Polly is not a shumpus and Polly is a wumpus.", + "Polly is not a shumpus.\n\n", + "Assume Polly is a gorpus.", + "Gorpuses are shumpuses and wumpuses and lempuses.", + "Polly is a shumpus and a wumpus and a lempus.", + "Polly is a shumpus.", + "This contradicts with Polly is not a shumpus.", + "Polly is not a gorpus.\n\n" + ] + } + }, + "example52": { + "in_context_example0": { + "question": "Rompuses are yumpuses. Each shumpus is a rompus and a tumpus and a zumpus. Zumpuses are numpuses. Every shumpus is a wumpus. Everything that is a lorpus or a tumpus or a yumpus is a lempus. Wren is a yumpus. Wren is a shumpus.", + "query": "Prove: Wren is a brimpus or an impus or a tumpus.", + "chain_of_thought": [ + "Wren is a shumpus.", + "Each shumpus is a rompus and a tumpus and a zumpus.", + "Wren is a rompus and a tumpus and a zumpus.", + "Wren is a tumpus.", + "Wren is a brimpus or an impus or a tumpus." + ] + }, + "in_context_example1": { + "question": "Dumpuses are shumpuses. Everything that is an impus and a jompus and a grimpus is a dumpus and a lempus and a zumpus. Lempuses are rompuses. Polly is a brimpus. Everything that is an impus, a numpus, and a brimpus is a rompus. Polly is an impus. Everything that is an impus and a jompus and a grimpus is a sterpus. Polly is a numpus. Polly is an impus. Polly is a jompus. Polly is a gorpus. Polly is a grimpus.", + "query": "Prove: Polly is a zumpus.", + "chain_of_thought": [ + "Polly is a grimpus.", + "Polly is a jompus.", + "Polly is an impus.", + "Polly is an impus, a jompus, and a grimpus.", + "Everything that is an impus and a jompus and a grimpus is a dumpus and a lempus and a zumpus.", + "Polly is a dumpus and a lempus and a zumpus.", + "Polly is a zumpus." + ] + }, + "in_context_example2": { + "question": "Each sterpus is a vumpus. Tumpuses are rompuses. Everything that is a jompus or a lorpus or a grimpus is a lempus. Everything that is a jompus or a lorpus or a grimpus is a sterpus, an impus, and a tumpus. Everything that is a yumpus, a jompus, or a numpus is a vumpus. Polly is a brimpus. Polly is a jompus.", + "query": "Prove: Polly is an impus.", + "chain_of_thought": [ + "Polly is a jompus.", + "Polly is a jompus or a lorpus or a grimpus.", + "Everything that is a jompus or a lorpus or a grimpus is a sterpus, an impus, and a tumpus.", + "Polly is a sterpus, an impus, and a tumpus.", + "Polly is an impus." + ] + }, + "in_context_example3": { + "question": "Every shumpus is a grimpus. Sterpuses are wumpuses and shumpuses and yumpuses. Everything that is a yumpus, a grimpus, or a rompus is a brimpus. Each wumpus is a rompus. Each sterpus is a gorpus. Rex is a numpus. Rex is a sterpus.", + "query": "Prove: Rex is a yumpus, an impus, or a tumpus.", + "chain_of_thought": [ + "Rex is a sterpus.", + "Sterpuses are wumpuses and shumpuses and yumpuses.", + "Rex is a wumpus, a shumpus, and a yumpus.", + "Rex is a yumpus.", + "Rex is a yumpus or an impus or a tumpus." + ] + }, + "in_context_example4": { + "question": "Sam is a dumpus. Sam is a sterpus. Everything that is a dumpus, a sterpus, and a jompus is a wumpus. Everything that is a dumpus, a zumpus, and an impus is a rompus and a brimpus and a numpus. Sam is a jompus. Numpuses are grimpuses. Everything that is a dumpus, a zumpus, and an impus is a shumpus. Brimpuses are yumpuses. Sam is a dumpus. Sam is a zumpus. Sam is a jompus. Sam is an impus.", + "query": "Prove: Sam is a rompus.", + "chain_of_thought": [ + "Sam is an impus.", + "Sam is a zumpus.", + "Sam is a dumpus.", + "Sam is a dumpus, a zumpus, and an impus.", + "Everything that is a dumpus, a zumpus, and an impus is a rompus and a brimpus and a numpus.", + "Sam is a rompus and a brimpus and a numpus.", + "Sam is a rompus." + ] + }, + "in_context_example5": { + "question": "Impuses are jompuses. Grimpuses are yumpuses. Every numpus is a dumpus and a yumpus and a lorpus. Max is a grimpus. Every dumpus is a zumpus. Vumpuses are sterpuses. Lorpuses are shumpuses. Each numpus is a zumpus. Max is a gorpus and a rompus and a tumpus. Max is not a yumpus and Max is an impus and Max is a vumpus.", + "query": "Prove: Max is not a numpus.", + "chain_of_thought": [ + "Max is not a yumpus and Max is an impus and Max is a vumpus.", + "Max is not a yumpus.\n\n", + "Assume Max is a numpus.", + "Every numpus is a dumpus and a yumpus and a lorpus.", + "Max is a dumpus, a yumpus, and a lorpus.", + "Max is a yumpus.", + "This contradicts with Max is not a yumpus.", + "Max is not a numpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Dumpuses are shumpuses and lempuses and sterpuses. Sally is a vumpus. Every sterpus is a rompus. Every shumpus is a jompus. Tumpuses are rompuses. Vumpuses are lempuses. Impuses are wumpuses. Dumpuses are lorpuses. Sally is a rompus and a vumpus and a brimpus. Sally is not a lempus, Sally is a tumpus, and Sally is an impus.", + "query": "Prove: Sally is not a dumpus.", + "chain_of_thought": [ + "Sally is not a lempus and Sally is a tumpus and Sally is an impus.", + "Sally is not a lempus.\n\n", + "Assume Sally is a dumpus.", + "Dumpuses are shumpuses and lempuses and sterpuses.", + "Sally is a shumpus and a lempus and a sterpus.", + "Sally is a lempus.", + "This contradicts with Sally is not a lempus.", + "Sally is not a dumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Grimpuses are yumpuses. Every jompus is a lempus. Jompuses are rompuses, grimpuses, and shumpuses. Gorpuses are impuses. Each numpus is a tumpus. Rex is a lempus. Each lempus is a shumpus. Every rompus is a lorpus. Rex is a lempus and a yumpus and a dumpus. Rex is not a shumpus, Rex is a gorpus, and Rex is a numpus.", + "query": "Prove: Rex is not a jompus.", + "chain_of_thought": [ + "Rex is not a shumpus, Rex is a gorpus, and Rex is a numpus.", + "Rex is not a shumpus.\n\n", + "Assume Rex is a jompus.", + "Jompuses are rompuses, grimpuses, and shumpuses.", + "Rex is a rompus, a grimpus, and a shumpus.", + "Rex is a shumpus.", + "This contradicts with Rex is not a shumpus.", + "Rex is not a jompus.\n\n" + ] + }, + "test_example": { + "question": "Shumpuses are vumpuses. Everything that is a vumpus, a tumpus, or a lempus is a lorpus. Everything that is a jompus, a yumpus, or a tumpus is a lempus. Zumpuses are grimpuses. Everything that is a jompus or a yumpus or a tumpus is a shumpus and a zumpus and a dumpus. Polly is a lempus. Polly is a tumpus.", + "query": "Prove: Polly is a dumpus.", + "chain_of_thought": [ + "Polly is a tumpus.", + "Polly is a jompus, a yumpus, or a tumpus.", + "Everything that is a jompus or a yumpus or a tumpus is a shumpus and a zumpus and a dumpus.", + "Polly is a shumpus, a zumpus, and a dumpus.", + "Polly is a dumpus." + ] + } + }, + "example53": { + "in_context_example0": { + "question": "Everything that is an impus or a lempus or a jompus is a grimpus. Every zumpus is a lempus, a vumpus, and a dumpus. Vumpuses are rompuses. Each zumpus is a sterpus. Dumpuses are lorpuses. Rex is a tumpus. Rex is a zumpus.", + "query": "Prove: Rex is a numpus, a wumpus, or a lempus.", + "chain_of_thought": [ + "Rex is a zumpus.", + "Every zumpus is a lempus, a vumpus, and a dumpus.", + "Rex is a lempus and a vumpus and a dumpus.", + "Rex is a lempus.", + "Rex is a numpus or a wumpus or a lempus." + ] + }, + "in_context_example1": { + "question": "Each jompus is a sterpus and an impus and a rompus. Jompuses are tumpuses. Each rompus is a gorpus. Impuses are zumpuses. Everything that is a zumpus or a sterpus or a dumpus is a lempus. Rex is a zumpus. Rex is a jompus.", + "query": "Prove: Rex is a grimpus, a yumpus, or a sterpus.", + "chain_of_thought": [ + "Rex is a jompus.", + "Each jompus is a sterpus and an impus and a rompus.", + "Rex is a sterpus and an impus and a rompus.", + "Rex is a sterpus.", + "Rex is a grimpus or a yumpus or a sterpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a zumpus, a gorpus, or a sterpus is a brimpus. Each tumpus is a lorpus. Everything that is a sterpus, an impus, or a dumpus is a shumpus. Every jompus is a vumpus. Everything that is a zumpus, a gorpus, or a sterpus is a rompus. Alex is a dumpus and a lempus and a yumpus. Alex is a sterpus, a jompus, and a tumpus.", + "query": "Prove: Alex is a rompus.", + "chain_of_thought": [ + "Alex is a sterpus, a jompus, and a tumpus.", + "Alex is a sterpus.", + "Alex is a zumpus or a gorpus or a sterpus.", + "Everything that is a zumpus, a gorpus, or a sterpus is a rompus.", + "Alex is a rompus." + ] + }, + "in_context_example3": { + "question": "Numpuses are grimpuses. Wumpuses are dumpuses. Everything that is a zumpus, an impus, or a grimpus is a sterpus. Rompuses are wumpuses and numpuses and zumpuses. Every rompus is an impus. Stella is a shumpus. Stella is a rompus.", + "query": "Prove: Stella is a vumpus or a brimpus or a zumpus.", + "chain_of_thought": [ + "Stella is a rompus.", + "Rompuses are wumpuses and numpuses and zumpuses.", + "Stella is a wumpus and a numpus and a zumpus.", + "Stella is a zumpus.", + "Stella is a vumpus, a brimpus, or a zumpus." + ] + }, + "in_context_example4": { + "question": "Gorpuses are grimpuses. Everything that is a zumpus, a tumpus, or a shumpus is a brimpus. Everything that is a lempus, a rompus, or a zumpus is a shumpus. Everything that is a lempus or a rompus or a zumpus is a gorpus, a jompus, and a wumpus. Every jompus is a sterpus. Wren is a brimpus. Wren is a zumpus.", + "query": "Prove: Wren is a wumpus.", + "chain_of_thought": [ + "Wren is a zumpus.", + "Wren is a lempus, a rompus, or a zumpus.", + "Everything that is a lempus or a rompus or a zumpus is a gorpus, a jompus, and a wumpus.", + "Wren is a gorpus, a jompus, and a wumpus.", + "Wren is a wumpus." + ] + }, + "in_context_example5": { + "question": "Lorpuses are rompuses. Sterpuses are zumpuses. Every brimpus is a zumpus. Each vumpus is not a rompus. Each brimpus is an impus, a numpus, and a rompus. Impuses are dumpuses. Every numpus is a tumpus. Every sterpus is a vumpus. Vumpuses are gorpuses. Stella is a lorpus. Stella is a jompus. Stella is a sterpus.", + "query": "Prove: Stella is not a brimpus.", + "chain_of_thought": [ + "Stella is a sterpus.", + "Every sterpus is a vumpus.", + "Stella is a vumpus.", + "Each vumpus is not a rompus.", + "Stella is not a rompus.\n\n", + "Assume Stella is a brimpus.", + "Each brimpus is an impus, a numpus, and a rompus.", + "Stella is an impus, a numpus, and a rompus.", + "Stella is a rompus.", + "This contradicts with Stella is not a rompus.", + "Stella is not a brimpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Each impus is a lorpus. Jompuses are numpuses. Each impus is a grimpus. Each rompus is a lorpus. Everything that is a grimpus, a gorpus, or a yumpus is a vumpus. Sam is a sterpus and a zumpus and a numpus. Sam is a jompus, an impus, and a rompus.", + "query": "Prove: Sam is an impus or a wumpus or a grimpus.", + "chain_of_thought": [ + "Sam is a jompus and an impus and a rompus.", + "Sam is an impus.", + "Each impus is a grimpus.", + "Sam is a grimpus.", + "Sam is an impus, a wumpus, or a grimpus." + ] + }, + "in_context_example7": { + "question": "Polly is a brimpus. Everything that is a vumpus or a grimpus or a jompus is a zumpus. Everything that is a tumpus, a sterpus, and a lempus is a grimpus. Everything that is a tumpus, a sterpus, and a lempus is a zumpus. Polly is a vumpus. Everything that is a tumpus and a vumpus and a brimpus is a dumpus. Polly is a tumpus. Polly is a tumpus. Polly is a dumpus. Polly is a sterpus. Polly is a lempus.", + "query": "Prove: Polly is a grimpus or a yumpus or a rompus.", + "chain_of_thought": [ + "Polly is a lempus.", + "Polly is a sterpus.", + "Polly is a tumpus.", + "Polly is a tumpus, a sterpus, and a lempus.", + "Everything that is a tumpus, a sterpus, and a lempus is a grimpus.", + "Polly is a grimpus.", + "Polly is a grimpus or a yumpus or a rompus." + ] + }, + "test_example": { + "question": "Everything that is an impus and a zumpus and a shumpus is a sterpus. Gorpuses are lorpuses. Sam is an impus. Grimpuses are sterpuses. Everything that is an impus, a zumpus, and a shumpus is a lorpus. Everything that is an impus and a jompus and a lempus is a yumpus. Sam is a lempus. Sam is a jompus. Sam is a grimpus. Each rompus is a numpus. Sam is not a sterpus and Sam is a rompus and Sam is a gorpus. Sam is a dumpus and a brimpus and a grimpus. Sam is a zumpus. Sam is a shumpus.", + "query": "Prove: Sam is not an impus.", + "chain_of_thought": [ + "Sam is not a sterpus, Sam is a rompus, and Sam is a gorpus.", + "Sam is not a sterpus.", + "Sam is a shumpus.", + "Sam is a zumpus.\n\n", + "Assume Sam is an impus.", + "Sam is an impus and a zumpus and a shumpus.", + "Everything that is an impus and a zumpus and a shumpus is a sterpus.", + "Sam is a sterpus.", + "This contradicts with Sam is not a sterpus.", + "Sam is not an impus.\n\n" + ] + } + }, + "example54": { + "in_context_example0": { + "question": "Each rompus is a zumpus. Vumpuses are impuses. Each grimpus is a jompus. Each grimpus is a shumpus and a rompus and a vumpus. Everything that is a shumpus, an impus, or a wumpus is a lorpus. Stella is a jompus. Stella is a grimpus.", + "query": "Prove: Stella is a shumpus, a dumpus, or a yumpus.", + "chain_of_thought": [ + "Stella is a grimpus.", + "Each grimpus is a shumpus and a rompus and a vumpus.", + "Stella is a shumpus, a rompus, and a vumpus.", + "Stella is a shumpus.", + "Stella is a shumpus, a dumpus, or a yumpus." + ] + }, + "in_context_example1": { + "question": "Jompuses are brimpuses. Every wumpus is a sterpus. Each zumpus is a lorpus, a sterpus, and a dumpus. Each lempus is a wumpus. Stella is a wumpus. Lorpuses are brimpuses. Zumpuses are vumpuses. Dumpuses are wumpuses. Stella is a vumpus, a gorpus, and a yumpus. Stella is a jompus and Stella is a lempus and Stella is not a sterpus.", + "query": "Prove: Stella is not a zumpus.", + "chain_of_thought": [ + "Stella is a jompus and Stella is a lempus and Stella is not a sterpus.", + "Stella is not a sterpus.\n\n", + "Assume Stella is a zumpus.", + "Each zumpus is a lorpus, a sterpus, and a dumpus.", + "Stella is a lorpus, a sterpus, and a dumpus.", + "Stella is a sterpus.", + "This contradicts with Stella is not a sterpus.", + "Stella is not a zumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Every rompus is a brimpus. Each vumpus is an impus. Tumpuses are zumpuses. Each yumpus is a gorpus. Lempuses are gorpuses. Each lempus is a zumpus and a yumpus and a vumpus. Each wumpus is a grimpus. Stella is a tumpus. Stella is a jompus, a numpus, and an impus. Stella is not a zumpus, Stella is a rompus, and Stella is a wumpus.", + "query": "Prove: Stella is not a lempus.", + "chain_of_thought": [ + "Stella is not a zumpus, Stella is a rompus, and Stella is a wumpus.", + "Stella is not a zumpus.\n\n", + "Assume Stella is a lempus.", + "Each lempus is a zumpus and a yumpus and a vumpus.", + "Stella is a zumpus and a yumpus and a vumpus.", + "Stella is a zumpus.", + "This contradicts with Stella is not a zumpus.", + "Stella is not a lempus.\n\n" + ] + }, + "in_context_example3": { + "question": "Sterpuses are numpuses. Every lorpus is a brimpus. Every tumpus is a lempus. Each tumpus is a lorpus, a grimpus, and a sterpus. Everything that is a grimpus or a yumpus or a vumpus is a brimpus. Alex is a numpus. Alex is a tumpus.", + "query": "Prove: Alex is a jompus or a shumpus or a grimpus.", + "chain_of_thought": [ + "Alex is a tumpus.", + "Each tumpus is a lorpus, a grimpus, and a sterpus.", + "Alex is a lorpus, a grimpus, and a sterpus.", + "Alex is a grimpus.", + "Alex is a jompus or a shumpus or a grimpus." + ] + }, + "in_context_example4": { + "question": "Jompuses are grimpuses. Everything that is a yumpus, a brimpus, and an impus is a vumpus. Sam is a yumpus. Everything that is a yumpus, a vumpus, and a rompus is a numpus. Sam is a rompus. Sam is a vumpus. Zumpuses are rompuses. Everything that is a yumpus, a brimpus, and an impus is a zumpus and a jompus and a tumpus. Sam is a wumpus. Sam is a yumpus. Sam is a brimpus. Sam is an impus.", + "query": "Prove: Sam is a tumpus.", + "chain_of_thought": [ + "Sam is an impus.", + "Sam is a brimpus.", + "Sam is a yumpus.", + "Sam is a yumpus and a brimpus and an impus.", + "Everything that is a yumpus, a brimpus, and an impus is a zumpus and a jompus and a tumpus.", + "Sam is a zumpus, a jompus, and a tumpus.", + "Sam is a tumpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a lempus, a brimpus, or a wumpus is a numpus. Jompuses are tumpuses. Shumpuses are lorpuses. Dumpuses are sterpuses. Shumpuses are lempuses, jompuses, and dumpuses. Polly is a wumpus. Polly is a shumpus.", + "query": "Prove: Polly is a yumpus, an impus, or a lempus.", + "chain_of_thought": [ + "Polly is a shumpus.", + "Shumpuses are lempuses, jompuses, and dumpuses.", + "Polly is a lempus, a jompus, and a dumpus.", + "Polly is a lempus.", + "Polly is a yumpus or an impus or a lempus." + ] + }, + "in_context_example6": { + "question": "Tumpuses are jompuses and numpuses and rompuses. Every tumpus is a lempus. Grimpuses are lorpuses. Sam is a wumpus. Wumpuses are jompuses. Numpuses are sterpuses. Each brimpus is a gorpus. Rompuses are wumpuses. Sam is an impus and a sterpus and a vumpus. Sam is not a jompus, Sam is a brimpus, and Sam is a grimpus.", + "query": "Prove: Sam is not a tumpus.", + "chain_of_thought": [ + "Sam is not a jompus and Sam is a brimpus and Sam is a grimpus.", + "Sam is not a jompus.\n\n", + "Assume Sam is a tumpus.", + "Tumpuses are jompuses and numpuses and rompuses.", + "Sam is a jompus, a numpus, and a rompus.", + "Sam is a jompus.", + "This contradicts with Sam is not a jompus.", + "Sam is not a tumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Fae is a rompus. Everything that is a rompus and a tumpus and a brimpus is a dumpus and a zumpus and a lempus. Fae is a yumpus. Everything that is a rompus and a yumpus and a gorpus is a wumpus. Lempuses are gorpuses. Everything that is a rompus, a tumpus, and a brimpus is a yumpus. Fae is a gorpus. Zumpuses are shumpuses. Fae is a sterpus. Fae is a rompus. Fae is a tumpus. Fae is a brimpus.", + "query": "Prove: Fae is a dumpus.", + "chain_of_thought": [ + "Fae is a brimpus.", + "Fae is a tumpus.", + "Fae is a rompus.", + "Fae is a rompus, a tumpus, and a brimpus.", + "Everything that is a rompus and a tumpus and a brimpus is a dumpus and a zumpus and a lempus.", + "Fae is a dumpus, a zumpus, and a lempus.", + "Fae is a dumpus." + ] + }, + "test_example": { + "question": "Every numpus is a rompus. Sterpuses are grimpuses. Rex is a vumpus. Everything that is a yumpus and a grimpus and a vumpus is a lempus. Rex is a yumpus. Everything that is a yumpus, a wumpus, and a dumpus is a gorpus, a numpus, and a sterpus. Rex is a grimpus. Everything that is a yumpus and a wumpus and a dumpus is a shumpus. Rex is a yumpus. Rex is a jompus. Rex is a wumpus. Rex is a dumpus.", + "query": "Prove: Rex is a gorpus.", + "chain_of_thought": [ + "Rex is a dumpus.", + "Rex is a wumpus.", + "Rex is a yumpus.", + "Rex is a yumpus, a wumpus, and a dumpus.", + "Everything that is a yumpus, a wumpus, and a dumpus is a gorpus, a numpus, and a sterpus.", + "Rex is a gorpus and a numpus and a sterpus.", + "Rex is a gorpus." + ] + } + }, + "example55": { + "in_context_example0": { + "question": "Every shumpus is a tumpus. Dumpuses are lorpuses. Rex is a rompus. Grimpuses are lorpuses. Each brimpus is a wumpus. Dumpuses are shumpuses, impuses, and yumpuses. Every rompus is an impus. Yumpuses are jompuses. Rex is a lempus, a lorpus, and a vumpus. Rex is a brimpus, Rex is a grimpus, and Rex is not an impus.", + "query": "Prove: Rex is not a dumpus.", + "chain_of_thought": [ + "Rex is a brimpus, Rex is a grimpus, and Rex is not an impus.", + "Rex is not an impus.\n\n", + "Assume Rex is a dumpus.", + "Dumpuses are shumpuses, impuses, and yumpuses.", + "Rex is a shumpus and an impus and a yumpus.", + "Rex is an impus.", + "This contradicts with Rex is not an impus.", + "Rex is not a dumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Everything that is a vumpus and a lorpus and a lempus is a yumpus. Rex is a lorpus. Rex is a vumpus. Everything that is a vumpus, a brimpus, and a wumpus is a grimpus and an impus and a sterpus. Every sterpus is a dumpus. Rex is a lempus. Everything that is a vumpus and a brimpus and a wumpus is a dumpus. Each grimpus is a tumpus. Rex is a zumpus. Rex is a vumpus. Rex is a brimpus. Rex is a wumpus.", + "query": "Prove: Rex is an impus.", + "chain_of_thought": [ + "Rex is a wumpus.", + "Rex is a brimpus.", + "Rex is a vumpus.", + "Rex is a vumpus and a brimpus and a wumpus.", + "Everything that is a vumpus, a brimpus, and a wumpus is a grimpus and an impus and a sterpus.", + "Rex is a grimpus and an impus and a sterpus.", + "Rex is an impus." + ] + }, + "in_context_example2": { + "question": "Wren is a gorpus. Everything that is a zumpus and a shumpus and a numpus is not a grimpus. Everything that is a lorpus, a zumpus, and a gorpus is a sterpus. Wren is a lorpus. Brimpuses are vumpuses. Vumpuses are yumpuses. Everything that is a zumpus, a shumpus, and a numpus is a sterpus. Brimpuses are yumpuses. Each gorpus is a grimpus. Vumpuses are grimpuses. Wren is a zumpus. Wren is an impus. Wren is a zumpus. Wren is a shumpus. Wren is a numpus.", + "query": "Prove: Wren is not a brimpus.", + "chain_of_thought": [ + "Wren is a numpus.", + "Wren is a shumpus.", + "Wren is a zumpus.", + "Wren is a zumpus, a shumpus, and a numpus.", + "Everything that is a zumpus and a shumpus and a numpus is not a grimpus.", + "Wren is not a grimpus.\n\n", + "Assume Wren is a brimpus.", + "Brimpuses are vumpuses.", + "Wren is a vumpus.", + "Vumpuses are grimpuses.", + "Wren is a grimpus.", + "This contradicts with Wren is not a grimpus.", + "Wren is not a brimpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Each vumpus is a lempus. Rompuses are gorpuses. Sterpuses are gorpuses. Alex is a vumpus. Each zumpus is a rompus. Every jompus is a numpus. Every sterpus is a lempus and a jompus and a dumpus. Dumpuses are vumpuses. Zumpuses are wumpuses. Every rompus is not a lempus. Alex is a vumpus. Alex is a zumpus.", + "query": "Prove: Alex is not a sterpus.", + "chain_of_thought": [ + "Alex is a zumpus.", + "Each zumpus is a rompus.", + "Alex is a rompus.", + "Every rompus is not a lempus.", + "Alex is not a lempus.\n\n", + "Assume Alex is a sterpus.", + "Every sterpus is a lempus and a jompus and a dumpus.", + "Alex is a lempus and a jompus and a dumpus.", + "Alex is a lempus.", + "This contradicts with Alex is not a lempus.", + "Alex is not a sterpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Vumpuses are wumpuses. Each yumpus is a numpus. Sterpuses are rompuses. Each impus is a rompus. Alex is a yumpus. Every brimpus is not a numpus. Every dumpus is a shumpus. Every brimpus is a rompus. Tumpuses are wumpuses. Every vumpus is a sterpus and a dumpus and a numpus. Alex is a shumpus and a grimpus and a yumpus. Alex is a tumpus, an impus, and a brimpus.", + "query": "Prove: Alex is not a vumpus.", + "chain_of_thought": [ + "Alex is a tumpus and an impus and a brimpus.", + "Alex is a brimpus.", + "Every brimpus is not a numpus.", + "Alex is not a numpus.\n\n", + "Assume Alex is a vumpus.", + "Every vumpus is a sterpus and a dumpus and a numpus.", + "Alex is a sterpus, a dumpus, and a numpus.", + "Alex is a numpus.", + "This contradicts with Alex is not a numpus.", + "Alex is not a vumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Polly is a lempus. Polly is a vumpus. Polly is a sterpus. Gorpuses are impuses. Everything that is a vumpus and a grimpus and a dumpus is a brimpus, a tumpus, and a gorpus. Everything that is a vumpus, a lempus, and a sterpus is a jompus. Everything that is a vumpus and a grimpus and a dumpus is a numpus. Brimpuses are jompuses. Polly is a shumpus. Polly is a vumpus. Polly is a grimpus. Polly is a dumpus.", + "query": "Prove: Polly is a tumpus.", + "chain_of_thought": [ + "Polly is a dumpus.", + "Polly is a grimpus.", + "Polly is a vumpus.", + "Polly is a vumpus and a grimpus and a dumpus.", + "Everything that is a vumpus and a grimpus and a dumpus is a brimpus, a tumpus, and a gorpus.", + "Polly is a brimpus and a tumpus and a gorpus.", + "Polly is a tumpus." + ] + }, + "in_context_example6": { + "question": "Vumpuses are wumpuses. Everything that is a dumpus, a shumpus, or a numpus is a yumpus. Every zumpus is a gorpus. Rompuses are grimpuses. Every vumpus is a dumpus, a zumpus, and a rompus. Alex is a numpus. Alex is a vumpus.", + "query": "Prove: Alex is a dumpus or a lorpus or a lempus.", + "chain_of_thought": [ + "Alex is a vumpus.", + "Every vumpus is a dumpus, a zumpus, and a rompus.", + "Alex is a dumpus, a zumpus, and a rompus.", + "Alex is a dumpus.", + "Alex is a dumpus or a lorpus or a lempus." + ] + }, + "in_context_example7": { + "question": "Everything that is a vumpus and a lorpus and a numpus is a tumpus. Rex is a numpus. Everything that is a vumpus, a yumpus, and a lempus is a shumpus and a gorpus and a sterpus. Rex is a vumpus. Rex is a lorpus. Each shumpus is a dumpus. Everything that is a vumpus and a yumpus and a lempus is a numpus. Every gorpus is a grimpus. Rex is a vumpus. Rex is a yumpus. Rex is a dumpus. Rex is a lempus.", + "query": "Prove: Rex is a sterpus.", + "chain_of_thought": [ + "Rex is a lempus.", + "Rex is a yumpus.", + "Rex is a vumpus.", + "Rex is a vumpus, a yumpus, and a lempus.", + "Everything that is a vumpus, a yumpus, and a lempus is a shumpus and a gorpus and a sterpus.", + "Rex is a shumpus, a gorpus, and a sterpus.", + "Rex is a sterpus." + ] + }, + "test_example": { + "question": "Everything that is a tumpus or a brimpus or a rompus is a grimpus. Every lorpus is a rompus. Every zumpus is a dumpus. Vumpuses are numpuses. Every vumpus is a tumpus. Sally is a grimpus, a wumpus, and a shumpus. Sally is a lorpus and a vumpus and a zumpus.", + "query": "Prove: Sally is a yumpus or a tumpus or an impus.", + "chain_of_thought": [ + "Sally is a lorpus and a vumpus and a zumpus.", + "Sally is a vumpus.", + "Every vumpus is a tumpus.", + "Sally is a tumpus.", + "Sally is a yumpus or a tumpus or an impus." + ] + } + }, + "example56": { + "in_context_example0": { + "question": "Everything that is a shumpus, a lempus, or a wumpus is a lorpus. Every rompus is a lorpus. Everything that is a shumpus, a grimpus, or a lorpus is a tumpus. Everything that is a shumpus or a lempus or a wumpus is a yumpus, a numpus, and a rompus. Yumpuses are gorpuses. Fae is a dumpus. Fae is a shumpus.", + "query": "Prove: Fae is a numpus.", + "chain_of_thought": [ + "Fae is a shumpus.", + "Fae is a shumpus, a lempus, or a wumpus.", + "Everything that is a shumpus or a lempus or a wumpus is a yumpus, a numpus, and a rompus.", + "Fae is a yumpus, a numpus, and a rompus.", + "Fae is a numpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a wumpus, a jompus, or a grimpus is a yumpus. Every shumpus is a lorpus. Each brimpus is a yumpus. Every sterpus is a tumpus. Each sterpus is a jompus. Stella is a rompus and a grimpus and a wumpus. Stella is a shumpus and a brimpus and a sterpus.", + "query": "Prove: Stella is a jompus or an impus or a vumpus.", + "chain_of_thought": [ + "Stella is a shumpus, a brimpus, and a sterpus.", + "Stella is a sterpus.", + "Each sterpus is a jompus.", + "Stella is a jompus.", + "Stella is a jompus, an impus, or a vumpus." + ] + }, + "in_context_example2": { + "question": "Wumpuses are tumpuses. Every shumpus is a lorpus. Rex is a dumpus. Sterpuses are impuses and shumpuses and wumpuses. Each wumpus is a lorpus. Every grimpus is a tumpus. Dumpuses are impuses. Every sterpus is a numpus. Rex is a vumpus, a brimpus, and a numpus. Rex is a grimpus, Rex is a wumpus, and Rex is not an impus.", + "query": "Prove: Rex is not a sterpus.", + "chain_of_thought": [ + "Rex is a grimpus and Rex is a wumpus and Rex is not an impus.", + "Rex is not an impus.\n\n", + "Assume Rex is a sterpus.", + "Sterpuses are impuses and shumpuses and wumpuses.", + "Rex is an impus and a shumpus and a wumpus.", + "Rex is an impus.", + "This contradicts with Rex is not an impus.", + "Rex is not a sterpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Grimpuses are dumpuses. Sam is a brimpus. Sam is a numpus. Everything that is a brimpus and a lempus and a lorpus is a sterpus. Sam is a grimpus. Zumpuses are shumpuses. Rompuses are grimpuses. Sam is a yumpus. Everything that is a numpus, a brimpus, and a yumpus is a shumpus. Everything that is a brimpus and a lempus and a lorpus is a dumpus. Sam is a rompus, Sam is a zumpus, and Sam is not a dumpus. Sam is a shumpus and a yumpus and a vumpus. Sam is a lempus. Sam is a lorpus.", + "query": "Prove: Sam is not a brimpus.", + "chain_of_thought": [ + "Sam is a rompus, Sam is a zumpus, and Sam is not a dumpus.", + "Sam is not a dumpus.", + "Sam is a lorpus.", + "Sam is a lempus.\n\n", + "Assume Sam is a brimpus.", + "Sam is a brimpus, a lempus, and a lorpus.", + "Everything that is a brimpus and a lempus and a lorpus is a dumpus.", + "Sam is a dumpus.", + "This contradicts with Sam is not a dumpus.", + "Sam is not a brimpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Wumpuses are yumpuses. Every numpus is a tumpus. Each zumpus is a gorpus. Wumpuses are zumpuses. Sterpuses are lempuses. Stella is a zumpus. Each dumpus is a wumpus, a gorpus, and a numpus. Dumpuses are lempuses. Stella is a yumpus and a vumpus and a tumpus. Stella is a wumpus, Stella is a sterpus, and Stella is not a gorpus.", + "query": "Prove: Stella is not a dumpus.", + "chain_of_thought": [ + "Stella is a wumpus and Stella is a sterpus and Stella is not a gorpus.", + "Stella is not a gorpus.\n\n", + "Assume Stella is a dumpus.", + "Each dumpus is a wumpus, a gorpus, and a numpus.", + "Stella is a wumpus, a gorpus, and a numpus.", + "Stella is a gorpus.", + "This contradicts with Stella is not a gorpus.", + "Stella is not a dumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Every jompus is a numpus. Everything that is a lorpus, a rompus, or a lempus is a vumpus. Gorpuses are brimpuses. Max is a gorpus. Everything that is a lorpus or an impus or a shumpus is a dumpus. Everything that is a lorpus or an impus or a shumpus is a brimpus. Sterpuses are vumpuses. Max is a dumpus and a tumpus and a vumpus. Max is a jompus and Max is not a brimpus and Max is a sterpus.", + "query": "Prove: Max is not a lorpus.", + "chain_of_thought": [ + "Max is a jompus and Max is not a brimpus and Max is a sterpus.", + "Max is not a brimpus.\n\n", + "Assume Max is a lorpus.", + "Max is a lorpus or an impus or a shumpus.", + "Everything that is a lorpus or an impus or a shumpus is a brimpus.", + "Max is a brimpus.", + "This contradicts with Max is not a brimpus.", + "Max is not a lorpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Zumpuses are rompuses. Each dumpus is not a numpus. Every impus is a numpus. Each gorpus is an impus. Every lorpus is a numpus. Gorpuses are vumpuses. Impuses are jompuses. Every shumpus is a lempus. Sam is a lorpus. Each dumpus is a sterpus. Sam is a lempus and a sterpus and a vumpus. Sam is a dumpus and a shumpus and a zumpus.", + "query": "Prove: Sam is not a gorpus.", + "chain_of_thought": [ + "Sam is a dumpus, a shumpus, and a zumpus.", + "Sam is a dumpus.", + "Each dumpus is not a numpus.", + "Sam is not a numpus.\n\n", + "Assume Sam is a gorpus.", + "Each gorpus is an impus.", + "Sam is an impus.", + "Every impus is a numpus.", + "Sam is a numpus.", + "This contradicts with Sam is not a numpus.", + "Sam is not a gorpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Gorpuses are impuses, shumpuses, and zumpuses. Impuses are yumpuses. Each zumpus is a rompus. Each gorpus is a lempus. Everything that is a numpus, a shumpus, or a sterpus is a rompus. Alex is a numpus. Alex is a gorpus.", + "query": "Prove: Alex is a jompus or a shumpus or a wumpus.", + "chain_of_thought": [ + "Alex is a gorpus.", + "Gorpuses are impuses, shumpuses, and zumpuses.", + "Alex is an impus, a shumpus, and a zumpus.", + "Alex is a shumpus.", + "Alex is a jompus, a shumpus, or a wumpus." + ] + }, + "test_example": { + "question": "Every impus is a gorpus. Vumpuses are jompuses. Vumpuses are numpuses. Lorpuses are brimpuses. Everything that is a numpus, a shumpus, or a grimpus is a lempus. Alex is a shumpus, a yumpus, and a rompus. Alex is a lorpus and a vumpus and an impus.", + "query": "Prove: Alex is a dumpus, a sterpus, or a numpus.", + "chain_of_thought": [ + "Alex is a lorpus, a vumpus, and an impus.", + "Alex is a vumpus.", + "Vumpuses are numpuses.", + "Alex is a numpus.", + "Alex is a dumpus or a sterpus or a numpus." + ] + } + }, + "example57": { + "in_context_example0": { + "question": "Every tumpus is a dumpus. Each numpus is a jompus. Sam is a tumpus. Sam is a lempus. Every shumpus is a numpus. Everything that is a grimpus, a sterpus, and a brimpus is a dumpus. Everything that is a grimpus, a sterpus, and a brimpus is a lorpus. Sam is a grimpus. Shumpuses are rompuses. Each numpus is not a dumpus. Everything that is a grimpus, a lempus, and a tumpus is a zumpus. Sam is a shumpus. Sam is a tumpus. Sam is a sterpus. Sam is a brimpus.", + "query": "Prove: Sam is not a grimpus.", + "chain_of_thought": [ + "Sam is a shumpus.", + "Every shumpus is a numpus.", + "Sam is a numpus.", + "Each numpus is not a dumpus.", + "Sam is not a dumpus.", + "Sam is a brimpus.", + "Sam is a sterpus.\n\n", + "Assume Sam is a grimpus.", + "Sam is a grimpus and a sterpus and a brimpus.", + "Everything that is a grimpus, a sterpus, and a brimpus is a dumpus.", + "Sam is a dumpus.", + "This contradicts with Sam is not a dumpus.", + "Sam is not a grimpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Everything that is a lempus, a grimpus, and a rompus is a vumpus. Sally is a numpus. Everything that is a lempus and a grimpus and a rompus is a shumpus and a jompus and a brimpus. Every shumpus is a vumpus. Jompuses are impuses. Sally is a zumpus. Sally is a lempus. Everything that is a lempus and a zumpus and a numpus is a gorpus. Sally is a wumpus. Sally is a lempus. Sally is a grimpus. Sally is a rompus.", + "query": "Prove: Sally is a brimpus.", + "chain_of_thought": [ + "Sally is a rompus.", + "Sally is a grimpus.", + "Sally is a lempus.", + "Sally is a lempus and a grimpus and a rompus.", + "Everything that is a lempus and a grimpus and a rompus is a shumpus and a jompus and a brimpus.", + "Sally is a shumpus, a jompus, and a brimpus.", + "Sally is a brimpus." + ] + }, + "in_context_example2": { + "question": "Vumpuses are shumpuses. Everything that is a brimpus and a tumpus and a gorpus is a jompus, a wumpus, and a vumpus. Fae is a brimpus. Everything that is a brimpus and a sterpus and a zumpus is a yumpus. Jompuses are lorpuses. Everything that is a brimpus and a tumpus and a gorpus is a zumpus. Fae is a sterpus. Fae is a zumpus. Fae is a brimpus. Fae is a tumpus. Fae is a zumpus. Fae is a gorpus.", + "query": "Prove: Fae is a wumpus.", + "chain_of_thought": [ + "Fae is a gorpus.", + "Fae is a tumpus.", + "Fae is a brimpus.", + "Fae is a brimpus, a tumpus, and a gorpus.", + "Everything that is a brimpus and a tumpus and a gorpus is a jompus, a wumpus, and a vumpus.", + "Fae is a jompus and a wumpus and a vumpus.", + "Fae is a wumpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a yumpus, a lempus, or a lorpus is a gorpus. Everything that is a sterpus or a yumpus or a grimpus is a rompus and a wumpus and a numpus. Rompuses are vumpuses. Everything that is a sterpus or a yumpus or a grimpus is a tumpus. Every wumpus is a brimpus. Sally is a gorpus. Sally is a yumpus.", + "query": "Prove: Sally is a numpus.", + "chain_of_thought": [ + "Sally is a yumpus.", + "Sally is a sterpus or a yumpus or a grimpus.", + "Everything that is a sterpus or a yumpus or a grimpus is a rompus and a wumpus and a numpus.", + "Sally is a rompus and a wumpus and a numpus.", + "Sally is a numpus." + ] + }, + "in_context_example4": { + "question": "Lorpuses are vumpuses. Each brimpus is a tumpus. Everything that is a shumpus, a rompus, or an impus is a wumpus. Lorpuses are brimpuses and jompuses and rompuses. Each jompus is a gorpus. Sam is a shumpus. Sam is a lorpus.", + "query": "Prove: Sam is a rompus, a sterpus, or a yumpus.", + "chain_of_thought": [ + "Sam is a lorpus.", + "Lorpuses are brimpuses and jompuses and rompuses.", + "Sam is a brimpus, a jompus, and a rompus.", + "Sam is a rompus.", + "Sam is a rompus or a sterpus or a yumpus." + ] + }, + "in_context_example5": { + "question": "Every lorpus is a lempus. Every gorpus is a shumpus. Everything that is a shumpus, a brimpus, or a jompus is an impus. Vumpuses are shumpuses. Every vumpus is a brimpus. Fae is a yumpus and an impus and a jompus. Fae is a gorpus and a lorpus and a vumpus.", + "query": "Prove: Fae is a sterpus, a brimpus, or a dumpus.", + "chain_of_thought": [ + "Fae is a gorpus, a lorpus, and a vumpus.", + "Fae is a vumpus.", + "Every vumpus is a brimpus.", + "Fae is a brimpus.", + "Fae is a sterpus, a brimpus, or a dumpus." + ] + }, + "in_context_example6": { + "question": "Zumpuses are lempuses. Everything that is a yumpus or a jompus or a dumpus is a lorpus and a zumpus and a brimpus. Everything that is a yumpus or a jompus or a dumpus is a vumpus. Lorpuses are impuses. Everything that is a grimpus, a dumpus, or an impus is a numpus. Alex is a tumpus. Alex is a dumpus.", + "query": "Prove: Alex is a brimpus.", + "chain_of_thought": [ + "Alex is a dumpus.", + "Alex is a yumpus or a jompus or a dumpus.", + "Everything that is a yumpus or a jompus or a dumpus is a lorpus and a zumpus and a brimpus.", + "Alex is a lorpus, a zumpus, and a brimpus.", + "Alex is a brimpus." + ] + }, + "in_context_example7": { + "question": "Each wumpus is a vumpus. Everything that is a gorpus, a shumpus, and a lorpus is a sterpus. Wren is a yumpus. Wren is a dumpus. Everything that is a gorpus, a yumpus, and a dumpus is a vumpus. Wren is a gorpus. Everything that is a gorpus and a shumpus and a lorpus is an impus and a wumpus and a grimpus. Grimpuses are tumpuses. Wren is a gorpus. Wren is a zumpus. Wren is a shumpus. Wren is a lorpus.", + "query": "Prove: Wren is an impus.", + "chain_of_thought": [ + "Wren is a lorpus.", + "Wren is a shumpus.", + "Wren is a gorpus.", + "Wren is a gorpus, a shumpus, and a lorpus.", + "Everything that is a gorpus and a shumpus and a lorpus is an impus and a wumpus and a grimpus.", + "Wren is an impus, a wumpus, and a grimpus.", + "Wren is an impus." + ] + }, + "test_example": { + "question": "Every vumpus is a shumpus. Numpuses are sterpuses. Grimpuses are gorpuses. Each rompus is a yumpus. Polly is a numpus. Each lempus is a numpus. Every grimpus is a numpus. Lempuses are sterpuses, rompuses, and grimpuses. Polly is a brimpus, a wumpus, and a shumpus. Polly is a vumpus, Polly is a grimpus, and Polly is not a sterpus.", + "query": "Prove: Polly is not a lempus.", + "chain_of_thought": [ + "Polly is a vumpus, Polly is a grimpus, and Polly is not a sterpus.", + "Polly is not a sterpus.\n\n", + "Assume Polly is a lempus.", + "Lempuses are sterpuses, rompuses, and grimpuses.", + "Polly is a sterpus and a rompus and a grimpus.", + "Polly is a sterpus.", + "This contradicts with Polly is not a sterpus.", + "Polly is not a lempus.\n\n" + ] + } + }, + "example58": { + "in_context_example0": { + "question": "Yumpuses are brimpuses. Everything that is a rompus, a lempus, or a wumpus is a numpus and a yumpus and a sterpus. Everything that is a rompus or a lempus or a wumpus is a grimpus. Everything that is a rompus or an impus or a zumpus is a jompus. Every sterpus is a zumpus. Sam is a zumpus. Sam is a rompus.", + "query": "Prove: Sam is a numpus.", + "chain_of_thought": [ + "Sam is a rompus.", + "Sam is a rompus or a lempus or a wumpus.", + "Everything that is a rompus, a lempus, or a wumpus is a numpus and a yumpus and a sterpus.", + "Sam is a numpus, a yumpus, and a sterpus.", + "Sam is a numpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a lorpus and an impus and a gorpus is a jompus. Polly is a gorpus. Vumpuses are impuses. Polly is a lorpus. Everything that is a lorpus and a dumpus and a yumpus is a brimpus and a vumpus and a numpus. Polly is an impus. Everything that is a lorpus, a dumpus, and a yumpus is a shumpus. Each brimpus is a shumpus. Polly is a rompus. Polly is a lorpus. Polly is a dumpus. Polly is a yumpus.", + "query": "Prove: Polly is a numpus.", + "chain_of_thought": [ + "Polly is a yumpus.", + "Polly is a dumpus.", + "Polly is a lorpus.", + "Polly is a lorpus and a dumpus and a yumpus.", + "Everything that is a lorpus and a dumpus and a yumpus is a brimpus and a vumpus and a numpus.", + "Polly is a brimpus and a vumpus and a numpus.", + "Polly is a numpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a lorpus or a vumpus or a brimpus is a sterpus. Everything that is a lorpus, a vumpus, or a brimpus is a tumpus. Everything that is a dumpus, a vumpus, or a shumpus is a lempus. Each tumpus is a grimpus. Rompuses are dumpuses. Wren is a sterpus and a wumpus and a shumpus. Wren is a tumpus and a rompus and a vumpus.", + "query": "Prove: Wren is a tumpus.", + "chain_of_thought": [ + "Wren is a tumpus and a rompus and a vumpus.", + "Wren is a vumpus.", + "Wren is a lorpus, a vumpus, or a brimpus.", + "Everything that is a lorpus, a vumpus, or a brimpus is a tumpus.", + "Wren is a tumpus." + ] + }, + "in_context_example3": { + "question": "Every dumpus is not a sterpus. Vumpuses are lempuses. Rompuses are wumpuses. Every zumpus is a sterpus, a brimpus, and a rompus. Every brimpus is an impus. Every yumpus is a sterpus. Vumpuses are dumpuses. Zumpuses are tumpuses. Stella is a yumpus. Dumpuses are yumpuses. Stella is a jompus. Stella is a vumpus.", + "query": "Prove: Stella is not a zumpus.", + "chain_of_thought": [ + "Stella is a vumpus.", + "Vumpuses are dumpuses.", + "Stella is a dumpus.", + "Every dumpus is not a sterpus.", + "Stella is not a sterpus.\n\n", + "Assume Stella is a zumpus.", + "Every zumpus is a sterpus, a brimpus, and a rompus.", + "Stella is a sterpus and a brimpus and a rompus.", + "Stella is a sterpus.", + "This contradicts with Stella is not a sterpus.", + "Stella is not a zumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Everything that is a sterpus, a brimpus, or a dumpus is a zumpus. Yumpuses are shumpuses. Everything that is a brimpus or a tumpus or an impus is a grimpus. Everything that is a sterpus or a brimpus or a dumpus is a yumpus, a lorpus, and a numpus. Every lorpus is a vumpus. Sally is an impus. Sally is a brimpus.", + "query": "Prove: Sally is a numpus.", + "chain_of_thought": [ + "Sally is a brimpus.", + "Sally is a sterpus or a brimpus or a dumpus.", + "Everything that is a sterpus or a brimpus or a dumpus is a yumpus, a lorpus, and a numpus.", + "Sally is a yumpus and a lorpus and a numpus.", + "Sally is a numpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a yumpus, a shumpus, or an impus is a rompus. Numpuses are wumpuses. Each brimpus is a numpus and a grimpus and a yumpus. Every grimpus is an impus. Each brimpus is a shumpus. Polly is a shumpus. Polly is a brimpus.", + "query": "Prove: Polly is a yumpus, a tumpus, or a gorpus.", + "chain_of_thought": [ + "Polly is a brimpus.", + "Each brimpus is a numpus and a grimpus and a yumpus.", + "Polly is a numpus, a grimpus, and a yumpus.", + "Polly is a yumpus.", + "Polly is a yumpus, a tumpus, or a gorpus." + ] + }, + "in_context_example6": { + "question": "Everything that is an impus or a zumpus or a wumpus is a yumpus. Dumpuses are grimpuses. Every numpus is a lempus. Numpuses are impuses, jompuses, and dumpuses. Every jompus is a zumpus. Wren is a sterpus. Wren is a numpus.", + "query": "Prove: Wren is a jompus, a vumpus, or an impus.", + "chain_of_thought": [ + "Wren is a numpus.", + "Numpuses are impuses, jompuses, and dumpuses.", + "Wren is an impus, a jompus, and a dumpus.", + "Wren is an impus.", + "Wren is a jompus, a vumpus, or an impus." + ] + }, + "in_context_example7": { + "question": "Every lempus is a rompus. Every shumpus is a wumpus. Every numpus is a jompus. Tumpuses are jompuses. Each lempus is a numpus. Each numpus is an impus. Rex is a tumpus. Each vumpus is a zumpus. Rex is a zumpus and a brimpus and a yumpus. Rex is not a jompus and Rex is a vumpus and Rex is a shumpus.", + "query": "Prove: Rex is not a lempus.", + "chain_of_thought": [ + "Rex is not a jompus, Rex is a vumpus, and Rex is a shumpus.", + "Rex is not a jompus.\n\n", + "Assume Rex is a lempus.", + "Each lempus is a numpus.", + "Rex is a numpus.", + "Every numpus is a jompus.", + "Rex is a jompus.", + "This contradicts with Rex is not a jompus.", + "Rex is not a lempus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a shumpus, a lempus, and a tumpus is a sterpus. Everything that is a dumpus or a vumpus or a numpus is a brimpus. Alex is a tumpus. Alex is a shumpus. Alex is a lempus. Everything that is a shumpus and a zumpus and a jompus is a dumpus. Everything that is a shumpus and a zumpus and a jompus is a wumpus. Alex is a shumpus. Alex is a tumpus. Alex is a zumpus. Alex is a jompus.", + "query": "Prove: Alex is a dumpus, a rompus, or a gorpus.", + "chain_of_thought": [ + "Alex is a jompus.", + "Alex is a zumpus.", + "Alex is a shumpus.", + "Alex is a shumpus, a zumpus, and a jompus.", + "Everything that is a shumpus and a zumpus and a jompus is a dumpus.", + "Alex is a dumpus.", + "Alex is a dumpus or a rompus or a gorpus." + ] + } + }, + "example59": { + "in_context_example0": { + "question": "Each grimpus is a gorpus. Zumpuses are lorpuses. Brimpuses are rompuses. Zumpuses are brimpuses and grimpuses and shumpuses. Everything that is a wumpus or a shumpus or a vumpus is a sterpus. Rex is a gorpus. Rex is a zumpus.", + "query": "Prove: Rex is a dumpus, a tumpus, or a shumpus.", + "chain_of_thought": [ + "Rex is a zumpus.", + "Zumpuses are brimpuses and grimpuses and shumpuses.", + "Rex is a brimpus and a grimpus and a shumpus.", + "Rex is a shumpus.", + "Rex is a dumpus, a tumpus, or a shumpus." + ] + }, + "in_context_example1": { + "question": "Stella is a vumpus. Stella is a rompus. Yumpuses are lorpuses. Grimpuses are shumpuses. Everything that is a vumpus, a sterpus, and a brimpus is a gorpus. Everything that is a vumpus, a sterpus, and a brimpus is a lempus, a yumpus, and a grimpus. Stella is a numpus. Everything that is a vumpus, a rompus, and a numpus is a jompus. Stella is a vumpus. Stella is a sterpus. Stella is a tumpus. Stella is a brimpus.", + "query": "Prove: Stella is a lempus.", + "chain_of_thought": [ + "Stella is a brimpus.", + "Stella is a sterpus.", + "Stella is a vumpus.", + "Stella is a vumpus and a sterpus and a brimpus.", + "Everything that is a vumpus, a sterpus, and a brimpus is a lempus, a yumpus, and a grimpus.", + "Stella is a lempus and a yumpus and a grimpus.", + "Stella is a lempus." + ] + }, + "in_context_example2": { + "question": "Everything that is a vumpus or a dumpus or a zumpus is a numpus. Everything that is a vumpus or a dumpus or a zumpus is a lorpus. Each numpus is an impus. Everything that is a grimpus or a zumpus or a brimpus is a sterpus. Each jompus is a brimpus. Sally is a gorpus, a grimpus, and a sterpus. Sally is a jompus, a numpus, and a zumpus.", + "query": "Prove: Sally is a numpus.", + "chain_of_thought": [ + "Sally is a jompus and a numpus and a zumpus.", + "Sally is a zumpus.", + "Sally is a vumpus, a dumpus, or a zumpus.", + "Everything that is a vumpus or a dumpus or a zumpus is a numpus.", + "Sally is a numpus." + ] + }, + "in_context_example3": { + "question": "Every grimpus is a vumpus. Everything that is a lempus, a numpus, or a yumpus is a shumpus. Everything that is a lempus, a numpus, or a yumpus is a jompus. Every rompus is a dumpus. Everything that is a yumpus or a vumpus or an impus is a zumpus. Alex is a sterpus and a lorpus and a gorpus. Alex is a yumpus, a grimpus, and a rompus.", + "query": "Prove: Alex is a shumpus.", + "chain_of_thought": [ + "Alex is a yumpus and a grimpus and a rompus.", + "Alex is a yumpus.", + "Alex is a lempus, a numpus, or a yumpus.", + "Everything that is a lempus, a numpus, or a yumpus is a shumpus.", + "Alex is a shumpus." + ] + }, + "in_context_example4": { + "question": "Gorpuses are impuses. Everything that is a sterpus and a brimpus and a dumpus is a lorpus, a yumpus, and a gorpus. Stella is a numpus. Everything that is a sterpus, a brimpus, and a dumpus is a zumpus. Stella is a shumpus. Stella is a sterpus. Everything that is a sterpus, a numpus, and a shumpus is an impus. Yumpuses are grimpuses. Stella is a lempus. Stella is a sterpus. Stella is a brimpus. Stella is a dumpus.", + "query": "Prove: Stella is a lorpus.", + "chain_of_thought": [ + "Stella is a dumpus.", + "Stella is a brimpus.", + "Stella is a sterpus.", + "Stella is a sterpus, a brimpus, and a dumpus.", + "Everything that is a sterpus and a brimpus and a dumpus is a lorpus, a yumpus, and a gorpus.", + "Stella is a lorpus, a yumpus, and a gorpus.", + "Stella is a lorpus." + ] + }, + "in_context_example5": { + "question": "Polly is an impus. Everything that is a grimpus, a dumpus, and a lorpus is a yumpus. Every gorpus is a shumpus. Everything that is a grimpus, a dumpus, and a lorpus is a lempus. Gorpuses are not lempuses. Each brimpus is an impus. Polly is a grimpus. Everything that is a tumpus and a grimpus and an impus is a wumpus. Zumpuses are jompuses. Polly is a tumpus. Every wumpus is a lempus. Polly is a wumpus. Polly is a zumpus, a brimpus, and a gorpus. Polly is a vumpus and an impus and a shumpus. Polly is a dumpus. Polly is a lorpus.", + "query": "Prove: Polly is not a grimpus.", + "chain_of_thought": [ + "Polly is a zumpus, a brimpus, and a gorpus.", + "Polly is a gorpus.", + "Gorpuses are not lempuses.", + "Polly is not a lempus.", + "Polly is a lorpus.", + "Polly is a dumpus.\n\n", + "Assume Polly is a grimpus.", + "Polly is a grimpus and a dumpus and a lorpus.", + "Everything that is a grimpus, a dumpus, and a lorpus is a lempus.", + "Polly is a lempus.", + "This contradicts with Polly is not a lempus.", + "Polly is not a grimpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Every zumpus is a sterpus. Everything that is a wumpus, a lorpus, or a grimpus is a rompus. Zumpuses are gorpuses and wumpuses and lempuses. Gorpuses are sterpuses. Every lempus is a lorpus. Stella is a rompus. Stella is a zumpus.", + "query": "Prove: Stella is a shumpus or a wumpus or a tumpus.", + "chain_of_thought": [ + "Stella is a zumpus.", + "Zumpuses are gorpuses and wumpuses and lempuses.", + "Stella is a gorpus and a wumpus and a lempus.", + "Stella is a wumpus.", + "Stella is a shumpus, a wumpus, or a tumpus." + ] + }, + "in_context_example7": { + "question": "Each lorpus is a shumpus. Everything that is a numpus and an impus and a yumpus is a wumpus. Everything that is a numpus and an impus and a yumpus is a tumpus and a lorpus and a brimpus. Brimpuses are vumpuses. Sally is a numpus. Sally is a grimpus. Everything that is a gorpus and a numpus and a grimpus is a zumpus. Sally is a gorpus. Sally is a lempus. Sally is a numpus. Sally is an impus. Sally is a yumpus.", + "query": "Prove: Sally is a tumpus.", + "chain_of_thought": [ + "Sally is a yumpus.", + "Sally is an impus.", + "Sally is a numpus.", + "Sally is a numpus, an impus, and a yumpus.", + "Everything that is a numpus and an impus and a yumpus is a tumpus and a lorpus and a brimpus.", + "Sally is a tumpus and a lorpus and a brimpus.", + "Sally is a tumpus." + ] + }, + "test_example": { + "question": "Numpuses are not brimpuses. Each yumpus is a brimpus. Every zumpus is a lorpus. Shumpuses are lempuses. Every sterpus is a rompus. Wumpuses are dumpuses. Each wumpus is a zumpus, a brimpus, and a grimpus. Every numpus is a lorpus. Fae is a yumpus. Each grimpus is a jompus. Fae is a rompus and a lorpus and a jompus. Fae is a shumpus, a sterpus, and a numpus.", + "query": "Prove: Fae is not a wumpus.", + "chain_of_thought": [ + "Fae is a shumpus, a sterpus, and a numpus.", + "Fae is a numpus.", + "Numpuses are not brimpuses.", + "Fae is not a brimpus.\n\n", + "Assume Fae is a wumpus.", + "Each wumpus is a zumpus, a brimpus, and a grimpus.", + "Fae is a zumpus and a brimpus and a grimpus.", + "Fae is a brimpus.", + "This contradicts with Fae is not a brimpus.", + "Fae is not a wumpus.\n\n" + ] + } + }, + "example60": { + "in_context_example0": { + "question": "Jompuses are wumpuses. Tumpuses are grimpuses. Dumpuses are tumpuses, jompuses, and lempuses. Dumpuses are rompuses. Everything that is an impus, a lempus, or a sterpus is a numpus. Stella is an impus. Stella is a dumpus.", + "query": "Prove: Stella is a zumpus, a lempus, or a shumpus.", + "chain_of_thought": [ + "Stella is a dumpus.", + "Dumpuses are tumpuses, jompuses, and lempuses.", + "Stella is a tumpus, a jompus, and a lempus.", + "Stella is a lempus.", + "Stella is a zumpus, a lempus, or a shumpus." + ] + }, + "in_context_example1": { + "question": "Dumpuses are zumpuses. Jompuses are numpuses. Stella is a shumpus. Every lorpus is a yumpus. Brimpuses are zumpuses. Every shumpus is a sterpus. Dumpuses are sterpuses, jompuses, and rompuses. Rompuses are tumpuses. Stella is a numpus, a shumpus, and a grimpus. Stella is a lorpus and Stella is not a sterpus and Stella is a brimpus.", + "query": "Prove: Stella is not a dumpus.", + "chain_of_thought": [ + "Stella is a lorpus and Stella is not a sterpus and Stella is a brimpus.", + "Stella is not a sterpus.\n\n", + "Assume Stella is a dumpus.", + "Dumpuses are sterpuses, jompuses, and rompuses.", + "Stella is a sterpus, a jompus, and a rompus.", + "Stella is a sterpus.", + "This contradicts with Stella is not a sterpus.", + "Stella is not a dumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a gorpus or a numpus or a tumpus is a yumpus. Sally is a wumpus. Each zumpus is not a yumpus. Everything that is a gorpus or a dumpus or a shumpus is a wumpus. Brimpuses are wumpuses. Every wumpus is a yumpus. Everything that is a gorpus or a numpus or a tumpus is a shumpus. Rompuses are shumpuses. Zumpuses are lorpuses. Sally is a jompus, a dumpus, and a shumpus. Sally is a zumpus and a rompus and a brimpus.", + "query": "Prove: Sally is not a gorpus.", + "chain_of_thought": [ + "Sally is a zumpus and a rompus and a brimpus.", + "Sally is a zumpus.", + "Each zumpus is not a yumpus.", + "Sally is not a yumpus.\n\n", + "Assume Sally is a gorpus.", + "Sally is a gorpus or a numpus or a tumpus.", + "Everything that is a gorpus or a numpus or a tumpus is a yumpus.", + "Sally is a yumpus.", + "This contradicts with Sally is not a yumpus.", + "Sally is not a gorpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Every tumpus is a wumpus. Everything that is a zumpus, a grimpus, or a yumpus is a dumpus. Lempuses are grimpuses. Lempuses are numpuses. Each lorpus is a shumpus. Sally is a yumpus, an impus, and a gorpus. Sally is a tumpus and a lempus and a lorpus.", + "query": "Prove: Sally is a rompus or a jompus or a grimpus.", + "chain_of_thought": [ + "Sally is a tumpus, a lempus, and a lorpus.", + "Sally is a lempus.", + "Lempuses are grimpuses.", + "Sally is a grimpus.", + "Sally is a rompus or a jompus or a grimpus." + ] + }, + "in_context_example4": { + "question": "Wren is a wumpus. Everything that is a dumpus and an impus and a gorpus is a zumpus, a rompus, and a lorpus. Wren is a dumpus. Wren is a brimpus. Each lorpus is a numpus. Everything that is a brimpus and a dumpus and a wumpus is a sterpus. Everything that is a dumpus, an impus, and a gorpus is a jompus. Each rompus is a lempus. Wren is a dumpus. Wren is an impus. Wren is a lempus. Wren is a gorpus.", + "query": "Prove: Wren is a zumpus.", + "chain_of_thought": [ + "Wren is a gorpus.", + "Wren is an impus.", + "Wren is a dumpus.", + "Wren is a dumpus, an impus, and a gorpus.", + "Everything that is a dumpus and an impus and a gorpus is a zumpus, a rompus, and a lorpus.", + "Wren is a zumpus and a rompus and a lorpus.", + "Wren is a zumpus." + ] + }, + "in_context_example5": { + "question": "Every zumpus is a lorpus. Yumpuses are rompuses. Shumpuses are lempuses. Shumpuses are gorpuses and numpuses and vumpuses. Every numpus is a lempus. Each vumpus is a jompus. Each lempus is a gorpus. Sally is a lempus. Sally is a lorpus and a sterpus and a jompus. Sally is a yumpus and Sally is not a gorpus and Sally is a zumpus.", + "query": "Prove: Sally is not a shumpus.", + "chain_of_thought": [ + "Sally is a yumpus, Sally is not a gorpus, and Sally is a zumpus.", + "Sally is not a gorpus.\n\n", + "Assume Sally is a shumpus.", + "Shumpuses are gorpuses and numpuses and vumpuses.", + "Sally is a gorpus, a numpus, and a vumpus.", + "Sally is a gorpus.", + "This contradicts with Sally is not a gorpus.", + "Sally is not a shumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Sterpuses are lempuses. Each jompus is a tumpus and a zumpus and a sterpus. Each jompus is a lempus. Tumpuses are rompuses. Everything that is a zumpus, a grimpus, or a dumpus is a yumpus. Alex is a gorpus. Alex is a jompus.", + "query": "Prove: Alex is a shumpus, a vumpus, or a zumpus.", + "chain_of_thought": [ + "Alex is a jompus.", + "Each jompus is a tumpus and a zumpus and a sterpus.", + "Alex is a tumpus and a zumpus and a sterpus.", + "Alex is a zumpus.", + "Alex is a shumpus, a vumpus, or a zumpus." + ] + }, + "in_context_example7": { + "question": "Vumpuses are numpuses. Each numpus is a wumpus. Zumpuses are impuses. Every shumpus is a tumpus. Each gorpus is a tumpus. Vumpuses are wumpuses, zumpuses, and gorpuses. Lorpuses are sterpuses. Polly is a numpus. Polly is a dumpus and a rompus and an impus. Polly is a lorpus and Polly is a shumpus and Polly is not a wumpus.", + "query": "Prove: Polly is not a vumpus.", + "chain_of_thought": [ + "Polly is a lorpus, Polly is a shumpus, and Polly is not a wumpus.", + "Polly is not a wumpus.\n\n", + "Assume Polly is a vumpus.", + "Vumpuses are wumpuses, zumpuses, and gorpuses.", + "Polly is a wumpus and a zumpus and a gorpus.", + "Polly is a wumpus.", + "This contradicts with Polly is not a wumpus.", + "Polly is not a vumpus.\n\n" + ] + }, + "test_example": { + "question": "Stella is a dumpus. Everything that is a dumpus, a brimpus, and a rompus is a shumpus. Everything that is a dumpus and a brimpus and a rompus is a wumpus. Each wumpus is a shumpus. Stella is a wumpus. Each jompus is a sterpus. Everything that is a yumpus and a dumpus and a wumpus is a sterpus. Stella is a yumpus. Lorpuses are numpuses. Stella is not a shumpus and Stella is a lorpus and Stella is a jompus. Stella is an impus, a tumpus, and a wumpus. Stella is a dumpus. Stella is a brimpus.", + "query": "Prove: Stella is not a rompus.", + "chain_of_thought": [ + "Stella is not a shumpus, Stella is a lorpus, and Stella is a jompus.", + "Stella is not a shumpus.\n\n", + "Assume Stella is a rompus.", + "Stella is a brimpus.", + "Stella is a dumpus.", + "Stella is a dumpus and a brimpus and a rompus.", + "Everything that is a dumpus, a brimpus, and a rompus is a shumpus.", + "Stella is a shumpus.", + "This contradicts with Stella is not a shumpus.", + "Stella is not a rompus.\n\n" + ] + } + }, + "example61": { + "in_context_example0": { + "question": "Sally is an impus. Everything that is a dumpus, a yumpus, and a rompus is a lempus. Everything that is a dumpus and a yumpus and a rompus is a numpus. Everything that is a lempus or a wumpus or an impus is a grimpus. Sally is a dumpus. Sally is a lorpus. Everything that is an impus and a dumpus and a lorpus is a tumpus. Sally is a dumpus. Sally is a yumpus. Sally is a jompus. Sally is a rompus.", + "query": "Prove: Sally is a sterpus or a lempus or a gorpus.", + "chain_of_thought": [ + "Sally is a rompus.", + "Sally is a yumpus.", + "Sally is a dumpus.", + "Sally is a dumpus, a yumpus, and a rompus.", + "Everything that is a dumpus, a yumpus, and a rompus is a lempus.", + "Sally is a lempus.", + "Sally is a sterpus, a lempus, or a gorpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a grimpus or a jompus or a zumpus is a rompus. Everything that is a sterpus or a yumpus or a grimpus is a tumpus, a dumpus, and a numpus. Everything that is a sterpus or a yumpus or a grimpus is a zumpus. Each dumpus is a jompus. Tumpuses are lempuses. Rex is a wumpus. Rex is a grimpus.", + "query": "Prove: Rex is a numpus.", + "chain_of_thought": [ + "Rex is a grimpus.", + "Rex is a sterpus, a yumpus, or a grimpus.", + "Everything that is a sterpus or a yumpus or a grimpus is a tumpus, a dumpus, and a numpus.", + "Rex is a tumpus and a dumpus and a numpus.", + "Rex is a numpus." + ] + }, + "in_context_example2": { + "question": "Impuses are dumpuses. Every numpus is a yumpus. Each numpus is a gorpus. Each sterpus is a gorpus. Everything that is a yumpus or a dumpus or a jompus is a gorpus. Rex is a wumpus, a zumpus, and a brimpus. Rex is a numpus, a sterpus, and an impus.", + "query": "Prove: Rex is a rompus, a yumpus, or a grimpus.", + "chain_of_thought": [ + "Rex is a numpus and a sterpus and an impus.", + "Rex is a numpus.", + "Every numpus is a yumpus.", + "Rex is a yumpus.", + "Rex is a rompus, a yumpus, or a grimpus." + ] + }, + "in_context_example3": { + "question": "Jompuses are tumpuses. Everything that is a zumpus, a vumpus, and a numpus is a rompus. Everything that is a lempus and a zumpus and a brimpus is a lorpus. Wren is a lempus. Each dumpus is a rompus. Wren is a brimpus. Everything that is a zumpus, a vumpus, and a numpus is a grimpus and a dumpus and a jompus. Wren is a zumpus. Wren is a zumpus. Wren is a gorpus. Wren is a vumpus. Wren is a numpus.", + "query": "Prove: Wren is a grimpus.", + "chain_of_thought": [ + "Wren is a numpus.", + "Wren is a vumpus.", + "Wren is a zumpus.", + "Wren is a zumpus and a vumpus and a numpus.", + "Everything that is a zumpus, a vumpus, and a numpus is a grimpus and a dumpus and a jompus.", + "Wren is a grimpus, a dumpus, and a jompus.", + "Wren is a grimpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a tumpus, a zumpus, or a yumpus is a numpus. Sterpuses are impuses. Everything that is a shumpus, a tumpus, or a lempus is a rompus. Everything that is a shumpus, a tumpus, or a lempus is a sterpus, a jompus, and a brimpus. Each brimpus is a grimpus. Sam is a dumpus. Sam is a tumpus.", + "query": "Prove: Sam is a jompus.", + "chain_of_thought": [ + "Sam is a tumpus.", + "Sam is a shumpus, a tumpus, or a lempus.", + "Everything that is a shumpus, a tumpus, or a lempus is a sterpus, a jompus, and a brimpus.", + "Sam is a sterpus, a jompus, and a brimpus.", + "Sam is a jompus." + ] + }, + "in_context_example5": { + "question": "Each brimpus is a lempus. Brimpuses are gorpuses and sterpuses and jompuses. Everything that is a sterpus, a tumpus, or a numpus is an impus. Each gorpus is a lempus. Each jompus is a dumpus. Fae is a lorpus. Fae is a brimpus.", + "query": "Prove: Fae is a wumpus or a jompus or a sterpus.", + "chain_of_thought": [ + "Fae is a brimpus.", + "Brimpuses are gorpuses and sterpuses and jompuses.", + "Fae is a gorpus and a sterpus and a jompus.", + "Fae is a sterpus.", + "Fae is a wumpus or a jompus or a sterpus." + ] + }, + "in_context_example6": { + "question": "Vumpuses are rompuses. Everything that is a gorpus or a lempus or a grimpus is a zumpus, a vumpus, and a tumpus. Every zumpus is a jompus. Everything that is a lorpus or a gorpus or a rompus is a shumpus. Everything that is a gorpus, a lempus, or a grimpus is a dumpus. Sam is a dumpus. Sam is a gorpus.", + "query": "Prove: Sam is a tumpus.", + "chain_of_thought": [ + "Sam is a gorpus.", + "Sam is a gorpus, a lempus, or a grimpus.", + "Everything that is a gorpus or a lempus or a grimpus is a zumpus, a vumpus, and a tumpus.", + "Sam is a zumpus, a vumpus, and a tumpus.", + "Sam is a tumpus." + ] + }, + "in_context_example7": { + "question": "Impuses are tumpuses. Everything that is a jompus or a shumpus or a zumpus is a tumpus. Each grimpus is a dumpus. Each brimpus is a wumpus. Each grimpus is a brimpus and an impus and a shumpus. Rex is a yumpus. Rex is a grimpus.", + "query": "Prove: Rex is a sterpus, a shumpus, or a gorpus.", + "chain_of_thought": [ + "Rex is a grimpus.", + "Each grimpus is a brimpus and an impus and a shumpus.", + "Rex is a brimpus, an impus, and a shumpus.", + "Rex is a shumpus.", + "Rex is a sterpus or a shumpus or a gorpus." + ] + }, + "test_example": { + "question": "Sterpuses are rompuses. Sally is a zumpus. Every zumpus is a gorpus. Impuses are shumpuses. Each tumpus is a brimpus. Each sterpus is a gorpus. Each wumpus is a brimpus. Tumpuses are sterpuses. Sally is a lempus, a grimpus, and a yumpus. Sally is a wumpus and Sally is not a gorpus and Sally is an impus.", + "query": "Prove: Sally is not a tumpus.", + "chain_of_thought": [ + "Sally is a wumpus, Sally is not a gorpus, and Sally is an impus.", + "Sally is not a gorpus.\n\n", + "Assume Sally is a tumpus.", + "Tumpuses are sterpuses.", + "Sally is a sterpus.", + "Each sterpus is a gorpus.", + "Sally is a gorpus.", + "This contradicts with Sally is not a gorpus.", + "Sally is not a tumpus.\n\n" + ] + } + }, + "example62": { + "in_context_example0": { + "question": "Everything that is a zumpus, a yumpus, or a wumpus is a shumpus. Everything that is an impus or a wumpus or a rompus is a grimpus. Lempuses are impuses. Everything that is a zumpus, a yumpus, or a wumpus is a jompus and a tumpus and a lempus. Each tumpus is a brimpus. Polly is a shumpus. Polly is a wumpus.", + "query": "Prove: Polly is a jompus.", + "chain_of_thought": [ + "Polly is a wumpus.", + "Polly is a zumpus, a yumpus, or a wumpus.", + "Everything that is a zumpus, a yumpus, or a wumpus is a jompus and a tumpus and a lempus.", + "Polly is a jompus, a tumpus, and a lempus.", + "Polly is a jompus." + ] + }, + "in_context_example1": { + "question": "Everything that is an impus and a gorpus and a numpus is a sterpus. Everything that is a gorpus, a lorpus, and a rompus is a jompus. Dumpuses are brimpuses. Alex is a gorpus. Each wumpus is a grimpus. Alex is a numpus. Everything that is a gorpus, a lorpus, and a rompus is a dumpus, a wumpus, and a tumpus. Alex is an impus. Alex is a yumpus. Alex is a gorpus. Alex is a lorpus. Alex is a rompus.", + "query": "Prove: Alex is a tumpus.", + "chain_of_thought": [ + "Alex is a rompus.", + "Alex is a lorpus.", + "Alex is a gorpus.", + "Alex is a gorpus and a lorpus and a rompus.", + "Everything that is a gorpus, a lorpus, and a rompus is a dumpus, a wumpus, and a tumpus.", + "Alex is a dumpus and a wumpus and a tumpus.", + "Alex is a tumpus." + ] + }, + "in_context_example2": { + "question": "Max is a lorpus. Max is a zumpus. Everything that is a gorpus and a lorpus and a zumpus is a jompus. Everything that is a lorpus, a yumpus, and a grimpus is a numpus, a wumpus, and a vumpus. Each numpus is a tumpus. Max is a gorpus. Everything that is a lorpus, a yumpus, and a grimpus is a gorpus. Wumpuses are rompuses. Max is a lorpus. Max is a yumpus. Max is an impus. Max is a grimpus.", + "query": "Prove: Max is a vumpus.", + "chain_of_thought": [ + "Max is a grimpus.", + "Max is a yumpus.", + "Max is a lorpus.", + "Max is a lorpus and a yumpus and a grimpus.", + "Everything that is a lorpus, a yumpus, and a grimpus is a numpus, a wumpus, and a vumpus.", + "Max is a numpus, a wumpus, and a vumpus.", + "Max is a vumpus." + ] + }, + "in_context_example3": { + "question": "Brimpuses are gorpuses. Everything that is an impus or a dumpus or a zumpus is a shumpus, a lorpus, and a brimpus. Shumpuses are grimpuses. Everything that is an impus, a dumpus, or a zumpus is a gorpus. Everything that is an impus or a lempus or a jompus is a vumpus. Wren is a tumpus. Wren is an impus.", + "query": "Prove: Wren is a lorpus.", + "chain_of_thought": [ + "Wren is an impus.", + "Wren is an impus, a dumpus, or a zumpus.", + "Everything that is an impus or a dumpus or a zumpus is a shumpus, a lorpus, and a brimpus.", + "Wren is a shumpus, a lorpus, and a brimpus.", + "Wren is a lorpus." + ] + }, + "in_context_example4": { + "question": "Yumpuses are impuses. Sam is a yumpus. Grimpuses are brimpuses. Vumpuses are grimpuses and impuses and dumpuses. Wumpuses are gorpuses. Every vumpus is a lempus. Every dumpus is a zumpus. Each lorpus is a shumpus. Sam is a lempus and a tumpus and a brimpus. Sam is a lorpus and Sam is a wumpus and Sam is not an impus.", + "query": "Prove: Sam is not a vumpus.", + "chain_of_thought": [ + "Sam is a lorpus, Sam is a wumpus, and Sam is not an impus.", + "Sam is not an impus.\n\n", + "Assume Sam is a vumpus.", + "Vumpuses are grimpuses and impuses and dumpuses.", + "Sam is a grimpus and an impus and a dumpus.", + "Sam is an impus.", + "This contradicts with Sam is not an impus.", + "Sam is not a vumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Everything that is a grimpus or a tumpus or a jompus is a numpus. Everything that is a grimpus or a tumpus or a jompus is a vumpus, an impus, and a wumpus. Wumpuses are shumpuses. Impuses are yumpuses. Everything that is a grimpus, a lorpus, or a rompus is a sterpus. Alex is a sterpus. Alex is a grimpus.", + "query": "Prove: Alex is a vumpus.", + "chain_of_thought": [ + "Alex is a grimpus.", + "Alex is a grimpus, a tumpus, or a jompus.", + "Everything that is a grimpus or a tumpus or a jompus is a vumpus, an impus, and a wumpus.", + "Alex is a vumpus, an impus, and a wumpus.", + "Alex is a vumpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a shumpus, a gorpus, or a wumpus is a jompus, a sterpus, and a zumpus. Zumpuses are rompuses. Every jompus is a dumpus. Everything that is a shumpus, a gorpus, or a wumpus is an impus. Everything that is a yumpus or a gorpus or a dumpus is a tumpus. Wren is a tumpus. Wren is a gorpus.", + "query": "Prove: Wren is a sterpus.", + "chain_of_thought": [ + "Wren is a gorpus.", + "Wren is a shumpus, a gorpus, or a wumpus.", + "Everything that is a shumpus, a gorpus, or a wumpus is a jompus, a sterpus, and a zumpus.", + "Wren is a jompus, a sterpus, and a zumpus.", + "Wren is a sterpus." + ] + }, + "in_context_example7": { + "question": "Max is a lorpus. Grimpuses are jompuses. Max is a numpus. Everything that is a sterpus and a yumpus and a vumpus is a rompus and an impus and a grimpus. Each impus is a dumpus. Everything that is a sterpus, a yumpus, and a vumpus is a gorpus. Max is a sterpus. Everything that is a sterpus, a numpus, and a lorpus is a gorpus. Max is a sterpus. Max is a yumpus. Max is a dumpus. Max is a vumpus.", + "query": "Prove: Max is a rompus.", + "chain_of_thought": [ + "Max is a vumpus.", + "Max is a yumpus.", + "Max is a sterpus.", + "Max is a sterpus, a yumpus, and a vumpus.", + "Everything that is a sterpus and a yumpus and a vumpus is a rompus and an impus and a grimpus.", + "Max is a rompus, an impus, and a grimpus.", + "Max is a rompus." + ] + }, + "test_example": { + "question": "Every zumpus is a jompus, a tumpus, and a sterpus. Every lempus is a numpus. Impuses are rompuses. Zumpuses are numpuses. Brimpuses are jompuses. Sam is a brimpus. Sterpuses are wumpuses. Each tumpus is a lorpus. Sam is a rompus, a numpus, and a lorpus. Sam is a lempus and Sam is not a jompus and Sam is an impus.", + "query": "Prove: Sam is not a zumpus.", + "chain_of_thought": [ + "Sam is a lempus, Sam is not a jompus, and Sam is an impus.", + "Sam is not a jompus.\n\n", + "Assume Sam is a zumpus.", + "Every zumpus is a jompus, a tumpus, and a sterpus.", + "Sam is a jompus and a tumpus and a sterpus.", + "Sam is a jompus.", + "This contradicts with Sam is not a jompus.", + "Sam is not a zumpus.\n\n" + ] + } + }, + "example63": { + "in_context_example0": { + "question": "Everything that is a sterpus and a dumpus and a zumpus is a gorpus. Sally is a lempus. Sally is a sterpus. Sally is a lorpus. Rompuses are gorpuses. Everything that is a sterpus and a lorpus and a lempus is a numpus. Each yumpus is a lorpus. Everything that is a sterpus, a dumpus, and a zumpus is a yumpus and a jompus and a rompus. Sally is a sterpus. Sally is a tumpus. Sally is a dumpus. Sally is a zumpus.", + "query": "Prove: Sally is a jompus.", + "chain_of_thought": [ + "Sally is a zumpus.", + "Sally is a dumpus.", + "Sally is a sterpus.", + "Sally is a sterpus, a dumpus, and a zumpus.", + "Everything that is a sterpus, a dumpus, and a zumpus is a yumpus and a jompus and a rompus.", + "Sally is a yumpus, a jompus, and a rompus.", + "Sally is a jompus." + ] + }, + "in_context_example1": { + "question": "Impuses are vumpuses. Every dumpus is a wumpus. Shumpuses are zumpuses. Every lorpus is a jompus. Zumpuses are jompuses. Shumpuses are jompuses. Each zumpus is a vumpus. Stella is an impus. Stella is a numpus, a rompus, and a jompus. Stella is a dumpus and Stella is a lorpus and Stella is not a vumpus.", + "query": "Prove: Stella is not a shumpus.", + "chain_of_thought": [ + "Stella is a dumpus and Stella is a lorpus and Stella is not a vumpus.", + "Stella is not a vumpus.\n\n", + "Assume Stella is a shumpus.", + "Shumpuses are zumpuses.", + "Stella is a zumpus.", + "Each zumpus is a vumpus.", + "Stella is a vumpus.", + "This contradicts with Stella is not a vumpus.", + "Stella is not a shumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a gorpus and a sterpus and a shumpus is a dumpus. Grimpuses are lempuses. Stella is a sterpus. Everything that is a sterpus and a tumpus and a brimpus is a grimpus, a zumpus, and a jompus. Stella is a shumpus. Jompuses are wumpuses. Stella is a gorpus. Everything that is a sterpus and a tumpus and a brimpus is a yumpus. Stella is a rompus. Stella is a sterpus. Stella is a tumpus. Stella is a brimpus.", + "query": "Prove: Stella is a zumpus.", + "chain_of_thought": [ + "Stella is a brimpus.", + "Stella is a tumpus.", + "Stella is a sterpus.", + "Stella is a sterpus, a tumpus, and a brimpus.", + "Everything that is a sterpus and a tumpus and a brimpus is a grimpus, a zumpus, and a jompus.", + "Stella is a grimpus, a zumpus, and a jompus.", + "Stella is a zumpus." + ] + }, + "in_context_example3": { + "question": "Each gorpus is a dumpus. Alex is a dumpus. Wumpuses are impuses. Every zumpus is a jompus. Each rompus is a numpus. Dumpuses are yumpuses. Sterpuses are brimpuses. Zumpuses are rompuses, yumpuses, and wumpuses. Alex is a vumpus and a lorpus and a dumpus. Alex is not a yumpus, Alex is a gorpus, and Alex is a sterpus.", + "query": "Prove: Alex is not a zumpus.", + "chain_of_thought": [ + "Alex is not a yumpus, Alex is a gorpus, and Alex is a sterpus.", + "Alex is not a yumpus.\n\n", + "Assume Alex is a zumpus.", + "Zumpuses are rompuses, yumpuses, and wumpuses.", + "Alex is a rompus and a yumpus and a wumpus.", + "Alex is a yumpus.", + "This contradicts with Alex is not a yumpus.", + "Alex is not a zumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Zumpuses are sterpuses. Fae is a shumpus. Fae is a dumpus. Brimpuses are vumpuses. Everything that is a jompus, a lempus, and a wumpus is a brimpus, a zumpus, and a lorpus. Fae is a jompus. Everything that is a jompus and a lempus and a wumpus is a dumpus. Everything that is a shumpus, a jompus, and a dumpus is a gorpus. Fae is a jompus. Fae is a lempus. Fae is a sterpus. Fae is a wumpus.", + "query": "Prove: Fae is a lorpus.", + "chain_of_thought": [ + "Fae is a wumpus.", + "Fae is a lempus.", + "Fae is a jompus.", + "Fae is a jompus, a lempus, and a wumpus.", + "Everything that is a jompus, a lempus, and a wumpus is a brimpus, a zumpus, and a lorpus.", + "Fae is a brimpus, a zumpus, and a lorpus.", + "Fae is a lorpus." + ] + }, + "in_context_example5": { + "question": "Lorpuses are dumpuses, gorpuses, and yumpuses. Fae is a wumpus. Every grimpus is an impus. Lorpuses are vumpuses. Yumpuses are wumpuses. Every gorpus is a vumpus. Wumpuses are dumpuses. Every numpus is a shumpus. Fae is a tumpus and a rompus and a vumpus. Fae is a numpus, Fae is a grimpus, and Fae is not a dumpus.", + "query": "Prove: Fae is not a lorpus.", + "chain_of_thought": [ + "Fae is a numpus and Fae is a grimpus and Fae is not a dumpus.", + "Fae is not a dumpus.\n\n", + "Assume Fae is a lorpus.", + "Lorpuses are dumpuses, gorpuses, and yumpuses.", + "Fae is a dumpus and a gorpus and a yumpus.", + "Fae is a dumpus.", + "This contradicts with Fae is not a dumpus.", + "Fae is not a lorpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Each brimpus is a lempus. Max is an impus. Everything that is a numpus and a zumpus and an impus is a sterpus. Everything that is a numpus and a wumpus and a jompus is a shumpus, a brimpus, and a dumpus. Every dumpus is a tumpus. Max is a zumpus. Max is a numpus. Everything that is a numpus and a wumpus and a jompus is a gorpus. Max is a sterpus. Max is a numpus. Max is a wumpus. Max is a jompus.", + "query": "Prove: Max is a shumpus.", + "chain_of_thought": [ + "Max is a jompus.", + "Max is a wumpus.", + "Max is a numpus.", + "Max is a numpus and a wumpus and a jompus.", + "Everything that is a numpus and a wumpus and a jompus is a shumpus, a brimpus, and a dumpus.", + "Max is a shumpus and a brimpus and a dumpus.", + "Max is a shumpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a vumpus or a jompus or a rompus is a lempus. Everything that is a vumpus, an impus, or a grimpus is a numpus. Everything that is a vumpus, a jompus, or a rompus is a tumpus. Each brimpus is an impus. Each yumpus is a sterpus. Rex is a tumpus and a zumpus and a grimpus. Rex is a brimpus and a vumpus and a yumpus.", + "query": "Prove: Rex is a lempus.", + "chain_of_thought": [ + "Rex is a brimpus and a vumpus and a yumpus.", + "Rex is a vumpus.", + "Rex is a vumpus or a jompus or a rompus.", + "Everything that is a vumpus or a jompus or a rompus is a lempus.", + "Rex is a lempus." + ] + }, + "test_example": { + "question": "Vumpuses are sterpuses. Each wumpus is a lempus. Each wumpus is a rompus. Each dumpus is a shumpus. Everything that is a shumpus or a rompus or a grimpus is a zumpus. Sally is a zumpus and a jompus and an impus. Sally is a wumpus, a dumpus, and a vumpus.", + "query": "Prove: Sally is a gorpus or a numpus or a rompus.", + "chain_of_thought": [ + "Sally is a wumpus, a dumpus, and a vumpus.", + "Sally is a wumpus.", + "Each wumpus is a rompus.", + "Sally is a rompus.", + "Sally is a gorpus or a numpus or a rompus." + ] + } + }, + "example64": { + "in_context_example0": { + "question": "Gorpuses are zumpuses. Everything that is a lempus or an impus or a zumpus is a brimpus. Dumpuses are rompuses. Dumpuses are lempuses. Every yumpus is a jompus. Fae is a brimpus, a rompus, and a numpus. Fae is a dumpus, a yumpus, and a gorpus.", + "query": "Prove: Fae is a lorpus or a tumpus or a lempus.", + "chain_of_thought": [ + "Fae is a dumpus, a yumpus, and a gorpus.", + "Fae is a dumpus.", + "Dumpuses are lempuses.", + "Fae is a lempus.", + "Fae is a lorpus or a tumpus or a lempus." + ] + }, + "in_context_example1": { + "question": "Every impus is a jompus. Every jompus is a grimpus. Sam is a gorpus. Each sterpus is a wumpus. Every sterpus is not a numpus. Gorpuses are numpuses. Every zumpus is a shumpus. Brimpuses are tumpuses. Impuses are tumpuses. Every jompus is a numpus. Sam is a lempus, a rompus, and a tumpus. Sam is a sterpus and a zumpus and a brimpus.", + "query": "Prove: Sam is not an impus.", + "chain_of_thought": [ + "Sam is a sterpus, a zumpus, and a brimpus.", + "Sam is a sterpus.", + "Every sterpus is not a numpus.", + "Sam is not a numpus.\n\n", + "Assume Sam is an impus.", + "Every impus is a jompus.", + "Sam is a jompus.", + "Every jompus is a numpus.", + "Sam is a numpus.", + "This contradicts with Sam is not a numpus.", + "Sam is not an impus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a dumpus or a wumpus or a tumpus is a gorpus, a vumpus, and a numpus. Each numpus is a shumpus. Gorpuses are lorpuses. Everything that is a dumpus, a wumpus, or a tumpus is a sterpus. Everything that is a shumpus or a wumpus or a yumpus is a lempus. Sally is a lorpus. Sally is a wumpus.", + "query": "Prove: Sally is a vumpus.", + "chain_of_thought": [ + "Sally is a wumpus.", + "Sally is a dumpus, a wumpus, or a tumpus.", + "Everything that is a dumpus or a wumpus or a tumpus is a gorpus, a vumpus, and a numpus.", + "Sally is a gorpus and a vumpus and a numpus.", + "Sally is a vumpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a sterpus, an impus, or a lempus is a zumpus. Each numpus is a sterpus. Every gorpus is a zumpus. Every brimpus is a shumpus. Brimpuses are numpuses, impuses, and gorpuses. Wren is a shumpus. Wren is a brimpus.", + "query": "Prove: Wren is an impus or a rompus or a yumpus.", + "chain_of_thought": [ + "Wren is a brimpus.", + "Brimpuses are numpuses, impuses, and gorpuses.", + "Wren is a numpus, an impus, and a gorpus.", + "Wren is an impus.", + "Wren is an impus, a rompus, or a yumpus." + ] + }, + "in_context_example4": { + "question": "Every numpus is an impus. Each grimpus is a brimpus. Numpuses are vumpuses. Every jompus is a lempus. Everything that is a brimpus or a vumpus or a shumpus is a tumpus. Max is a dumpus, a zumpus, and a brimpus. Max is a numpus, a grimpus, and a jompus.", + "query": "Prove: Max is a rompus or a vumpus or a numpus.", + "chain_of_thought": [ + "Max is a numpus, a grimpus, and a jompus.", + "Max is a numpus.", + "Numpuses are vumpuses.", + "Max is a vumpus.", + "Max is a rompus or a vumpus or a numpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a wumpus, a vumpus, or a lempus is a dumpus. Everything that is a sterpus or a lempus or an impus is a yumpus. Everything that is a wumpus or a vumpus or a lempus is a grimpus and a gorpus and a shumpus. Grimpuses are tumpuses. Gorpuses are brimpuses. Fae is a zumpus. Fae is a lempus.", + "query": "Prove: Fae is a shumpus.", + "chain_of_thought": [ + "Fae is a lempus.", + "Fae is a wumpus or a vumpus or a lempus.", + "Everything that is a wumpus or a vumpus or a lempus is a grimpus and a gorpus and a shumpus.", + "Fae is a grimpus, a gorpus, and a shumpus.", + "Fae is a shumpus." + ] + }, + "in_context_example6": { + "question": "Jompuses are brimpuses. Everything that is a lempus or an impus or a shumpus is a lorpus. Every dumpus is a lorpus. Each vumpus is a lempus, a dumpus, and a jompus. Every vumpus is a shumpus. Sam is a brimpus. Sam is a vumpus.", + "query": "Prove: Sam is a lempus, a numpus, or a yumpus.", + "chain_of_thought": [ + "Sam is a vumpus.", + "Each vumpus is a lempus, a dumpus, and a jompus.", + "Sam is a lempus, a dumpus, and a jompus.", + "Sam is a lempus.", + "Sam is a lempus, a numpus, or a yumpus." + ] + }, + "in_context_example7": { + "question": "Fae is a zumpus. Fae is a brimpus. Fae is a shumpus. Every brimpus is a rompus. Tumpuses are zumpuses. Everything that is a shumpus and a numpus and a tumpus is a dumpus. Everything that is a shumpus and an impus and a zumpus is a sterpus. Everything that is a shumpus, a numpus, and a tumpus is a rompus. Gorpuses are sterpuses. Fae is an impus. Fae is a gorpus, Fae is a tumpus, and Fae is not a rompus. Fae is a zumpus and a vumpus and a lorpus. Fae is a numpus. Fae is a tumpus.", + "query": "Prove: Fae is not a shumpus.", + "chain_of_thought": [ + "Fae is a gorpus, Fae is a tumpus, and Fae is not a rompus.", + "Fae is not a rompus.", + "Fae is a tumpus.", + "Fae is a numpus.\n\n", + "Assume Fae is a shumpus.", + "Fae is a shumpus, a numpus, and a tumpus.", + "Everything that is a shumpus, a numpus, and a tumpus is a rompus.", + "Fae is a rompus.", + "This contradicts with Fae is not a rompus.", + "Fae is not a shumpus.\n\n" + ] + }, + "test_example": { + "question": "Every jompus is a wumpus. Every gorpus is a numpus. Every gorpus is a rompus and a sterpus and a jompus. Each rompus is a grimpus. Everything that is a sterpus or a lorpus or a wumpus is a tumpus. Rex is a grimpus. Rex is a gorpus.", + "query": "Prove: Rex is a shumpus or a jompus or a sterpus.", + "chain_of_thought": [ + "Rex is a gorpus.", + "Every gorpus is a rompus and a sterpus and a jompus.", + "Rex is a rompus, a sterpus, and a jompus.", + "Rex is a sterpus.", + "Rex is a shumpus or a jompus or a sterpus." + ] + } + }, + "example65": { + "in_context_example0": { + "question": "Each lempus is a sterpus. Shumpuses are gorpuses. Grimpuses are impuses. Everything that is a dumpus, a tumpus, and a rompus is a sterpus. Everything that is a dumpus and a tumpus and a rompus is a jompus. Sam is a dumpus. Sam is a lempus. Everything that is a lempus, a dumpus, and a jompus is a zumpus. Sam is a jompus. Sam is a grimpus, Sam is a shumpus, and Sam is not a sterpus. Sam is a dumpus. Sam is a zumpus, a wumpus, and a jompus. Sam is a tumpus.", + "query": "Prove: Sam is not a rompus.", + "chain_of_thought": [ + "Sam is a grimpus, Sam is a shumpus, and Sam is not a sterpus.", + "Sam is not a sterpus.\n\n", + "Assume Sam is a rompus.", + "Sam is a tumpus.", + "Sam is a dumpus.", + "Sam is a dumpus, a tumpus, and a rompus.", + "Everything that is a dumpus, a tumpus, and a rompus is a sterpus.", + "Sam is a sterpus.", + "This contradicts with Sam is not a sterpus.", + "Sam is not a rompus.\n\n" + ] + }, + "in_context_example1": { + "question": "Lempuses are impuses. Everything that is a jompus or a sterpus or a rompus is a gorpus. Everything that is a rompus or a vumpus or a zumpus is a dumpus. Grimpuses are dumpuses. Everything that is a jompus, a sterpus, or a rompus is a brimpus. Alex is an impus and a tumpus and a zumpus. Alex is a lempus, a grimpus, and a rompus.", + "query": "Prove: Alex is a gorpus.", + "chain_of_thought": [ + "Alex is a lempus and a grimpus and a rompus.", + "Alex is a rompus.", + "Alex is a jompus, a sterpus, or a rompus.", + "Everything that is a jompus or a sterpus or a rompus is a gorpus.", + "Alex is a gorpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a rompus, a sterpus, and a numpus is a yumpus. Sam is a tumpus. Everything that is a dumpus or a yumpus or a lorpus is a tumpus. Sam is a rompus. Everything that is a rompus and a sterpus and a numpus is a wumpus. Everything that is a rompus and an impus and a tumpus is a lorpus. Sam is an impus. Sam is a shumpus. Sam is a rompus. Sam is a sterpus. Sam is a numpus.", + "query": "Prove: Sam is a jompus, a brimpus, or a yumpus.", + "chain_of_thought": [ + "Sam is a numpus.", + "Sam is a sterpus.", + "Sam is a rompus.", + "Sam is a rompus, a sterpus, and a numpus.", + "Everything that is a rompus, a sterpus, and a numpus is a yumpus.", + "Sam is a yumpus.", + "Sam is a jompus, a brimpus, or a yumpus." + ] + }, + "in_context_example3": { + "question": "Every shumpus is a lorpus. Rex is a grimpus. Rex is a yumpus. Everything that is a yumpus and a numpus and a sterpus is a shumpus, a brimpus, and a rompus. Everything that is a yumpus, a numpus, and a sterpus is a grimpus. Everything that is a yumpus, a grimpus, and a jompus is a lempus. Each rompus is a lempus. Rex is a jompus. Rex is a tumpus. Rex is a yumpus. Rex is a numpus. Rex is a sterpus.", + "query": "Prove: Rex is a brimpus.", + "chain_of_thought": [ + "Rex is a sterpus.", + "Rex is a numpus.", + "Rex is a yumpus.", + "Rex is a yumpus and a numpus and a sterpus.", + "Everything that is a yumpus and a numpus and a sterpus is a shumpus, a brimpus, and a rompus.", + "Rex is a shumpus and a brimpus and a rompus.", + "Rex is a brimpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a lempus, a zumpus, and a shumpus is a vumpus. Polly is a zumpus. Everything that is a lempus, a wumpus, and a lorpus is a rompus. Polly is a shumpus. Polly is a lempus. Every gorpus is a zumpus. Dumpuses are tumpuses. Everything that is a lempus, a wumpus, and a lorpus is a brimpus and a dumpus and a gorpus. Polly is a lempus. Polly is a wumpus. Polly is a yumpus. Polly is a lorpus.", + "query": "Prove: Polly is a brimpus.", + "chain_of_thought": [ + "Polly is a lorpus.", + "Polly is a wumpus.", + "Polly is a lempus.", + "Polly is a lempus and a wumpus and a lorpus.", + "Everything that is a lempus, a wumpus, and a lorpus is a brimpus and a dumpus and a gorpus.", + "Polly is a brimpus and a dumpus and a gorpus.", + "Polly is a brimpus." + ] + }, + "in_context_example5": { + "question": "Wumpuses are yumpuses. Everything that is a rompus, a jompus, or a numpus is a wumpus and a lempus and an impus. Everything that is a rompus, a dumpus, or a lorpus is a zumpus. Everything that is a rompus, a jompus, or a numpus is a lorpus. Impuses are brimpuses. Wren is a zumpus. Wren is a rompus.", + "query": "Prove: Wren is a lempus.", + "chain_of_thought": [ + "Wren is a rompus.", + "Wren is a rompus, a jompus, or a numpus.", + "Everything that is a rompus, a jompus, or a numpus is a wumpus and a lempus and an impus.", + "Wren is a wumpus and a lempus and an impus.", + "Wren is a lempus." + ] + }, + "in_context_example6": { + "question": "Every gorpus is an impus. Fae is a zumpus. Fae is a tumpus. Fae is a lempus. Everything that is a tumpus and a numpus and a rompus is not a sterpus. Everything that is a jompus, a tumpus, and a zumpus is a lempus. Vumpuses are yumpuses and gorpuses and sterpuses. Everything that is a tumpus and a numpus and a rompus is a lempus. Each lempus is a sterpus. Vumpuses are lempuses. Yumpuses are zumpuses. Fae is a jompus. Fae is a tumpus. Fae is a grimpus. Fae is a numpus. Fae is a rompus.", + "query": "Prove: Fae is not a vumpus.", + "chain_of_thought": [ + "Fae is a rompus.", + "Fae is a numpus.", + "Fae is a tumpus.", + "Fae is a tumpus and a numpus and a rompus.", + "Everything that is a tumpus and a numpus and a rompus is not a sterpus.", + "Fae is not a sterpus.\n\n", + "Assume Fae is a vumpus.", + "Vumpuses are yumpuses and gorpuses and sterpuses.", + "Fae is a yumpus, a gorpus, and a sterpus.", + "Fae is a sterpus.", + "This contradicts with Fae is not a sterpus.", + "Fae is not a vumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Every numpus is an impus. Each numpus is a vumpus. Everything that is a shumpus or a vumpus or a dumpus is an impus. Brimpuses are rompuses. Lempuses are tumpuses. Sam is a sterpus, a gorpus, and a lorpus. Sam is a brimpus and a lempus and a numpus.", + "query": "Prove: Sam is a jompus or a vumpus or a grimpus.", + "chain_of_thought": [ + "Sam is a brimpus, a lempus, and a numpus.", + "Sam is a numpus.", + "Each numpus is a vumpus.", + "Sam is a vumpus.", + "Sam is a jompus, a vumpus, or a grimpus." + ] + }, + "test_example": { + "question": "Every gorpus is a zumpus. Every tumpus is not a rompus. Every gorpus is a vumpus and a rompus and a numpus. Numpuses are jompuses. Jompuses are rompuses. Max is a jompus. Every lempus is a dumpus. Tumpuses are impuses. Vumpuses are dumpuses. Every lempus is a tumpus. Max is a dumpus. Max is a lempus.", + "query": "Prove: Max is not a gorpus.", + "chain_of_thought": [ + "Max is a lempus.", + "Every lempus is a tumpus.", + "Max is a tumpus.", + "Every tumpus is not a rompus.", + "Max is not a rompus.\n\n", + "Assume Max is a gorpus.", + "Every gorpus is a vumpus and a rompus and a numpus.", + "Max is a vumpus and a rompus and a numpus.", + "Max is a rompus.", + "This contradicts with Max is not a rompus.", + "Max is not a gorpus.\n\n" + ] + } + }, + "example66": { + "in_context_example0": { + "question": "Lempuses are gorpuses. Every lempus is a numpus. Everything that is a sterpus or a gorpus or a numpus is a tumpus. Every dumpus is a vumpus. Wumpuses are grimpuses. Wren is a brimpus, a yumpus, and a sterpus. Wren is a wumpus, a dumpus, and a lempus.", + "query": "Prove: Wren is a zumpus or a gorpus or a jompus.", + "chain_of_thought": [ + "Wren is a wumpus, a dumpus, and a lempus.", + "Wren is a lempus.", + "Lempuses are gorpuses.", + "Wren is a gorpus.", + "Wren is a zumpus or a gorpus or a jompus." + ] + }, + "in_context_example1": { + "question": "Everything that is a grimpus or a sterpus or a rompus is a lorpus. Zumpuses are impuses. Each dumpus is a yumpus. Everything that is a rompus or a vumpus or a shumpus is a lempus. Everything that is a grimpus, a sterpus, or a rompus is a gorpus. Sally is a lempus, a numpus, and a jompus. Sally is a rompus, a zumpus, and a dumpus.", + "query": "Prove: Sally is a lorpus.", + "chain_of_thought": [ + "Sally is a rompus, a zumpus, and a dumpus.", + "Sally is a rompus.", + "Sally is a grimpus or a sterpus or a rompus.", + "Everything that is a grimpus or a sterpus or a rompus is a lorpus.", + "Sally is a lorpus." + ] + }, + "in_context_example2": { + "question": "Gorpuses are shumpuses. Each yumpus is a numpus. Every yumpus is a gorpus, an impus, and a grimpus. Impuses are dumpuses. Everything that is a lempus or a grimpus or a shumpus is a tumpus. Rex is a jompus. Rex is a yumpus.", + "query": "Prove: Rex is a brimpus, a grimpus, or an impus.", + "chain_of_thought": [ + "Rex is a yumpus.", + "Every yumpus is a gorpus, an impus, and a grimpus.", + "Rex is a gorpus, an impus, and a grimpus.", + "Rex is a grimpus.", + "Rex is a brimpus, a grimpus, or an impus." + ] + }, + "in_context_example3": { + "question": "Sam is a lempus. Everything that is a dumpus, an impus, or a wumpus is a vumpus. Everything that is a lempus and a tumpus and a numpus is a brimpus. Everything that is a lempus and a tumpus and a numpus is a dumpus. Everything that is a lempus and a brimpus and a rompus is a jompus. Sam is a brimpus. Sam is a rompus. Sam is an impus. Sam is a lempus. Sam is a tumpus. Sam is a numpus.", + "query": "Prove: Sam is a shumpus or a dumpus or a yumpus.", + "chain_of_thought": [ + "Sam is a numpus.", + "Sam is a tumpus.", + "Sam is a lempus.", + "Sam is a lempus, a tumpus, and a numpus.", + "Everything that is a lempus and a tumpus and a numpus is a dumpus.", + "Sam is a dumpus.", + "Sam is a shumpus or a dumpus or a yumpus." + ] + }, + "in_context_example4": { + "question": "Sally is a gorpus. Each rompus is a yumpus. Every brimpus is a lempus. Every sterpus is a wumpus. Gorpuses are grimpuses. Each brimpus is a rompus and a grimpus and a lorpus. Lorpuses are dumpuses. Every numpus is a tumpus. Sally is a vumpus and a gorpus and a shumpus. Sally is not a grimpus and Sally is a sterpus and Sally is a numpus.", + "query": "Prove: Sally is not a brimpus.", + "chain_of_thought": [ + "Sally is not a grimpus and Sally is a sterpus and Sally is a numpus.", + "Sally is not a grimpus.\n\n", + "Assume Sally is a brimpus.", + "Each brimpus is a rompus and a grimpus and a lorpus.", + "Sally is a rompus, a grimpus, and a lorpus.", + "Sally is a grimpus.", + "This contradicts with Sally is not a grimpus.", + "Sally is not a brimpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Each rompus is a grimpus. Everything that is a wumpus or a zumpus or a vumpus is a lorpus. Everything that is a dumpus, a lempus, or a wumpus is a rompus and a tumpus and a sterpus. Each tumpus is a zumpus. Everything that is a dumpus or a lempus or a wumpus is an impus. Sam is a zumpus. Sam is a wumpus.", + "query": "Prove: Sam is a sterpus.", + "chain_of_thought": [ + "Sam is a wumpus.", + "Sam is a dumpus or a lempus or a wumpus.", + "Everything that is a dumpus, a lempus, or a wumpus is a rompus and a tumpus and a sterpus.", + "Sam is a rompus, a tumpus, and a sterpus.", + "Sam is a sterpus." + ] + }, + "in_context_example6": { + "question": "Numpuses are tumpuses. Everything that is a tumpus, a yumpus, or a grimpus is a sterpus. Each wumpus is a zumpus. Each lorpus is a sterpus. Every numpus is a sterpus. Polly is a brimpus and a sterpus and an impus. Polly is a lorpus and a numpus and a wumpus.", + "query": "Prove: Polly is a rompus or a dumpus or a tumpus.", + "chain_of_thought": [ + "Polly is a lorpus, a numpus, and a wumpus.", + "Polly is a numpus.", + "Numpuses are tumpuses.", + "Polly is a tumpus.", + "Polly is a rompus or a dumpus or a tumpus." + ] + }, + "in_context_example7": { + "question": "Wumpuses are sterpuses. Wumpuses are grimpuses. Stella is a grimpus. Gorpuses are impuses. Tumpuses are not lempuses. Every grimpus is a lempus. Tumpuses are sterpuses. Each lorpus is a dumpus. Numpuses are grimpuses. Numpuses are lempuses, gorpuses, and wumpuses. Stella is a zumpus, a jompus, and a shumpus. Stella is a lorpus and a tumpus and a wumpus.", + "query": "Prove: Stella is not a numpus.", + "chain_of_thought": [ + "Stella is a lorpus, a tumpus, and a wumpus.", + "Stella is a tumpus.", + "Tumpuses are not lempuses.", + "Stella is not a lempus.\n\n", + "Assume Stella is a numpus.", + "Numpuses are lempuses, gorpuses, and wumpuses.", + "Stella is a lempus and a gorpus and a wumpus.", + "Stella is a lempus.", + "This contradicts with Stella is not a lempus.", + "Stella is not a numpus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a jompus, a grimpus, or a shumpus is a brimpus. Everything that is a wumpus or a tumpus or a jompus is a grimpus. Everything that is a wumpus or a tumpus or a jompus is an impus. Impuses are sterpuses. Dumpuses are lempuses. Fae is a lempus and a zumpus and a rompus. Fae is a jompus and an impus and a dumpus.", + "query": "Prove: Fae is an impus.", + "chain_of_thought": [ + "Fae is a jompus and an impus and a dumpus.", + "Fae is a jompus.", + "Fae is a wumpus or a tumpus or a jompus.", + "Everything that is a wumpus or a tumpus or a jompus is an impus.", + "Fae is an impus." + ] + } + }, + "example67": { + "in_context_example0": { + "question": "Everything that is a tumpus and an impus and a rompus is a wumpus. Everything that is a tumpus, a jompus, and a brimpus is a lorpus. Everything that is a shumpus or a lorpus or a grimpus is a gorpus. Sam is an impus. Everything that is a tumpus and a jompus and a brimpus is a rompus. Sam is a tumpus. Sam is a rompus. Sam is a zumpus. Sam is a tumpus. Sam is a jompus. Sam is a brimpus.", + "query": "Prove: Sam is a vumpus or a numpus or a lorpus.", + "chain_of_thought": [ + "Sam is a brimpus.", + "Sam is a jompus.", + "Sam is a tumpus.", + "Sam is a tumpus and a jompus and a brimpus.", + "Everything that is a tumpus, a jompus, and a brimpus is a lorpus.", + "Sam is a lorpus.", + "Sam is a vumpus or a numpus or a lorpus." + ] + }, + "in_context_example1": { + "question": "Fae is a yumpus. Everything that is a dumpus and a lempus and a yumpus is a brimpus. Fae is a dumpus. Everything that is a lempus, a vumpus, and a shumpus is a zumpus. Every rompus is a lorpus. Everything that is a lempus, a vumpus, and a shumpus is a rompus and a sterpus and a jompus. Sterpuses are dumpuses. Fae is a lempus. Fae is a lempus. Fae is a brimpus. Fae is a vumpus. Fae is a shumpus.", + "query": "Prove: Fae is a jompus.", + "chain_of_thought": [ + "Fae is a shumpus.", + "Fae is a vumpus.", + "Fae is a lempus.", + "Fae is a lempus and a vumpus and a shumpus.", + "Everything that is a lempus, a vumpus, and a shumpus is a rompus and a sterpus and a jompus.", + "Fae is a rompus and a sterpus and a jompus.", + "Fae is a jompus." + ] + }, + "in_context_example2": { + "question": "Polly is a numpus. Everything that is a gorpus, a lorpus, and a numpus is a grimpus. Polly is a lorpus. Polly is a gorpus. Each dumpus is a grimpus. Each tumpus is a sterpus. Every shumpus is a yumpus. Everything that is a gorpus, a wumpus, and an impus is a sterpus. Polly is a tumpus. Everything that is a gorpus and a wumpus and an impus is a zumpus. Polly is a dumpus and Polly is not a sterpus and Polly is a shumpus. Polly is a jompus and a grimpus and a vumpus. Polly is a gorpus. Polly is a wumpus.", + "query": "Prove: Polly is not an impus.", + "chain_of_thought": [ + "Polly is a dumpus, Polly is not a sterpus, and Polly is a shumpus.", + "Polly is not a sterpus.\n\n", + "Assume Polly is an impus.", + "Polly is a wumpus.", + "Polly is a gorpus.", + "Polly is a gorpus, a wumpus, and an impus.", + "Everything that is a gorpus, a wumpus, and an impus is a sterpus.", + "Polly is a sterpus.", + "This contradicts with Polly is not a sterpus.", + "Polly is not an impus.\n\n" + ] + }, + "in_context_example3": { + "question": "Everything that is a numpus, a yumpus, or a rompus is a sterpus. Shumpuses are wumpuses. Everything that is a numpus, a yumpus, or a rompus is a zumpus. Each yumpus is a lempus. Everything that is a numpus or a brimpus or an impus is a grimpus. Rex is a tumpus, an impus, and a lempus. Rex is a shumpus, a numpus, and a yumpus.", + "query": "Prove: Rex is a zumpus.", + "chain_of_thought": [ + "Rex is a shumpus, a numpus, and a yumpus.", + "Rex is a numpus.", + "Rex is a numpus or a yumpus or a rompus.", + "Everything that is a numpus, a yumpus, or a rompus is a zumpus.", + "Rex is a zumpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a lorpus or a vumpus or a dumpus is an impus. Jompuses are impuses. Everything that is a gorpus, a lorpus, or a wumpus is a rompus. Numpuses are dumpuses. Everything that is a gorpus, a lorpus, or a wumpus is a jompus and a numpus and a shumpus. Max is a vumpus. Max is a lorpus.", + "query": "Prove: Max is a shumpus.", + "chain_of_thought": [ + "Max is a lorpus.", + "Max is a gorpus or a lorpus or a wumpus.", + "Everything that is a gorpus, a lorpus, or a wumpus is a jompus and a numpus and a shumpus.", + "Max is a jompus and a numpus and a shumpus.", + "Max is a shumpus." + ] + }, + "in_context_example5": { + "question": "Everything that is an impus or a gorpus or a grimpus is a vumpus. Everything that is an impus or a gorpus or a grimpus is a wumpus and a numpus and a brimpus. Each brimpus is a vumpus. Each wumpus is a rompus. Everything that is a jompus or a gorpus or a zumpus is a shumpus. Sally is a sterpus. Sally is a gorpus.", + "query": "Prove: Sally is a numpus.", + "chain_of_thought": [ + "Sally is a gorpus.", + "Sally is an impus or a gorpus or a grimpus.", + "Everything that is an impus or a gorpus or a grimpus is a wumpus and a numpus and a brimpus.", + "Sally is a wumpus and a numpus and a brimpus.", + "Sally is a numpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a brimpus, an impus, or a jompus is a tumpus. Everything that is a brimpus or an impus or a jompus is a rompus and a numpus and a grimpus. Everything that is a tumpus, a jompus, or a lorpus is a dumpus. Rompuses are tumpuses. Numpuses are lorpuses. Max is a lempus. Max is a jompus.", + "query": "Prove: Max is a grimpus.", + "chain_of_thought": [ + "Max is a jompus.", + "Max is a brimpus or an impus or a jompus.", + "Everything that is a brimpus or an impus or a jompus is a rompus and a numpus and a grimpus.", + "Max is a rompus and a numpus and a grimpus.", + "Max is a grimpus." + ] + }, + "in_context_example7": { + "question": "Every lorpus is a grimpus. Each yumpus is a wumpus and a gorpus and a lorpus. Every yumpus is a grimpus. Everything that is a dumpus or a gorpus or a rompus is a grimpus. Every wumpus is an impus. Max is a lempus. Max is a yumpus.", + "query": "Prove: Max is a gorpus or a brimpus or a sterpus.", + "chain_of_thought": [ + "Max is a yumpus.", + "Each yumpus is a wumpus and a gorpus and a lorpus.", + "Max is a wumpus, a gorpus, and a lorpus.", + "Max is a gorpus.", + "Max is a gorpus, a brimpus, or a sterpus." + ] + }, + "test_example": { + "question": "Rompuses are vumpuses. Everything that is a wumpus, a jompus, or a gorpus is a rompus, a shumpus, and a dumpus. Everything that is a wumpus or a lempus or a sterpus is a lorpus. Every dumpus is a tumpus. Everything that is a wumpus, a jompus, or a gorpus is an impus. Fae is a lempus. Fae is a wumpus.", + "query": "Prove: Fae is a shumpus.", + "chain_of_thought": [ + "Fae is a wumpus.", + "Fae is a wumpus or a jompus or a gorpus.", + "Everything that is a wumpus, a jompus, or a gorpus is a rompus, a shumpus, and a dumpus.", + "Fae is a rompus, a shumpus, and a dumpus.", + "Fae is a shumpus." + ] + } + }, + "example68": { + "in_context_example0": { + "question": "Wumpuses are vumpuses, yumpuses, and rompuses. Rex is a lempus. Wumpuses are sterpuses. Zumpuses are grimpuses. Each rompus is a dumpus. Each yumpus is a gorpus. Tumpuses are lorpuses. Lempuses are vumpuses. Rex is a grimpus, a gorpus, and a shumpus. Rex is a tumpus, Rex is a zumpus, and Rex is not a vumpus.", + "query": "Prove: Rex is not a wumpus.", + "chain_of_thought": [ + "Rex is a tumpus and Rex is a zumpus and Rex is not a vumpus.", + "Rex is not a vumpus.\n\n", + "Assume Rex is a wumpus.", + "Wumpuses are vumpuses, yumpuses, and rompuses.", + "Rex is a vumpus, a yumpus, and a rompus.", + "Rex is a vumpus.", + "This contradicts with Rex is not a vumpus.", + "Rex is not a wumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Everything that is a yumpus or a zumpus or a tumpus is a grimpus. Every wumpus is a rompus. Everything that is a yumpus or a jompus or a lorpus is a dumpus, a lempus, and a wumpus. Everything that is a yumpus, a jompus, or a lorpus is a gorpus. Each lempus is a shumpus. Sally is a vumpus. Sally is a yumpus.", + "query": "Prove: Sally is a dumpus.", + "chain_of_thought": [ + "Sally is a yumpus.", + "Sally is a yumpus, a jompus, or a lorpus.", + "Everything that is a yumpus or a jompus or a lorpus is a dumpus, a lempus, and a wumpus.", + "Sally is a dumpus, a lempus, and a wumpus.", + "Sally is a dumpus." + ] + }, + "in_context_example2": { + "question": "Gorpuses are dumpuses. Everything that is a jompus, a tumpus, or a sterpus is a zumpus. Every lempus is a lorpus. Everything that is a jompus or a tumpus or a sterpus is a shumpus. Everything that is a tumpus or a shumpus or a grimpus is a lorpus. Max is a rompus, a brimpus, and a lorpus. Max is a lempus, a tumpus, and a gorpus.", + "query": "Prove: Max is a zumpus.", + "chain_of_thought": [ + "Max is a lempus, a tumpus, and a gorpus.", + "Max is a tumpus.", + "Max is a jompus or a tumpus or a sterpus.", + "Everything that is a jompus, a tumpus, or a sterpus is a zumpus.", + "Max is a zumpus." + ] + }, + "in_context_example3": { + "question": "Dumpuses are zumpuses. Everything that is a jompus and a shumpus and an impus is a yumpus. Everything that is a lempus, a jompus, and a yumpus is a vumpus. Polly is a yumpus. Polly is a jompus. Everything that is a jompus and a shumpus and an impus is a lorpus, a dumpus, and a wumpus. Polly is a lempus. Wumpuses are tumpuses. Polly is a grimpus. Polly is a jompus. Polly is a shumpus. Polly is an impus.", + "query": "Prove: Polly is a lorpus.", + "chain_of_thought": [ + "Polly is an impus.", + "Polly is a shumpus.", + "Polly is a jompus.", + "Polly is a jompus and a shumpus and an impus.", + "Everything that is a jompus and a shumpus and an impus is a lorpus, a dumpus, and a wumpus.", + "Polly is a lorpus and a dumpus and a wumpus.", + "Polly is a lorpus." + ] + }, + "in_context_example4": { + "question": "Each zumpus is a sterpus. Zumpuses are wumpuses. Each rompus is a gorpus. Everything that is a wumpus or a numpus or an impus is a grimpus. Shumpuses are vumpuses. Wren is a grimpus and a numpus and a dumpus. Wren is a shumpus and a rompus and a zumpus.", + "query": "Prove: Wren is a rompus, a wumpus, or a lempus.", + "chain_of_thought": [ + "Wren is a shumpus and a rompus and a zumpus.", + "Wren is a zumpus.", + "Zumpuses are wumpuses.", + "Wren is a wumpus.", + "Wren is a rompus, a wumpus, or a lempus." + ] + }, + "in_context_example5": { + "question": "Grimpuses are brimpuses. Impuses are yumpuses. Wren is a grimpus. Impuses are brimpuses. Everything that is a zumpus or a lorpus or a shumpus is a grimpus. Each gorpus is an impus. Gorpuses are vumpuses. Everything that is a lorpus, a tumpus, or a yumpus is a wumpus. Everything that is a zumpus, a lorpus, or a shumpus is not a brimpus. Wren is a grimpus. Wren is a lorpus.", + "query": "Prove: Wren is not a gorpus.", + "chain_of_thought": [ + "Wren is a lorpus.", + "Wren is a zumpus or a lorpus or a shumpus.", + "Everything that is a zumpus, a lorpus, or a shumpus is not a brimpus.", + "Wren is not a brimpus.\n\n", + "Assume Wren is a gorpus.", + "Each gorpus is an impus.", + "Wren is an impus.", + "Impuses are brimpuses.", + "Wren is a brimpus.", + "This contradicts with Wren is not a brimpus.", + "Wren is not a gorpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Everything that is a rompus, a lempus, or a zumpus is a sterpus and an impus and a shumpus. Each shumpus is a lorpus. Impuses are gorpuses. Everything that is a rompus or a lempus or a zumpus is a gorpus. Everything that is a dumpus, a zumpus, or a lorpus is a wumpus. Sally is a yumpus. Sally is a zumpus.", + "query": "Prove: Sally is a sterpus.", + "chain_of_thought": [ + "Sally is a zumpus.", + "Sally is a rompus, a lempus, or a zumpus.", + "Everything that is a rompus, a lempus, or a zumpus is a sterpus and an impus and a shumpus.", + "Sally is a sterpus and an impus and a shumpus.", + "Sally is a sterpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a yumpus or an impus or a lorpus is a jompus. Everything that is a wumpus or a rompus or a yumpus is an impus. Every gorpus is an impus. Every dumpus is a shumpus. Everything that is a wumpus or a rompus or a yumpus is a dumpus and a gorpus and a grimpus. Wren is a shumpus. Wren is a yumpus.", + "query": "Prove: Wren is a grimpus.", + "chain_of_thought": [ + "Wren is a yumpus.", + "Wren is a wumpus, a rompus, or a yumpus.", + "Everything that is a wumpus or a rompus or a yumpus is a dumpus and a gorpus and a grimpus.", + "Wren is a dumpus, a gorpus, and a grimpus.", + "Wren is a grimpus." + ] + }, + "test_example": { + "question": "Every rompus is a lempus. Each dumpus is a yumpus. Impuses are zumpuses. Every shumpus is a numpus. Wren is a numpus. Dumpuses are lorpuses and impuses and tumpuses. Each numpus is a lorpus. Tumpuses are sterpuses. Wren is a zumpus, a lempus, and a brimpus. Wren is a rompus and Wren is a shumpus and Wren is not a lorpus.", + "query": "Prove: Wren is not a dumpus.", + "chain_of_thought": [ + "Wren is a rompus and Wren is a shumpus and Wren is not a lorpus.", + "Wren is not a lorpus.\n\n", + "Assume Wren is a dumpus.", + "Dumpuses are lorpuses and impuses and tumpuses.", + "Wren is a lorpus, an impus, and a tumpus.", + "Wren is a lorpus.", + "This contradicts with Wren is not a lorpus.", + "Wren is not a dumpus.\n\n" + ] + } + }, + "example69": { + "in_context_example0": { + "question": "Each jompus is a grimpus. Every gorpus is a shumpus. Every rompus is a lorpus. Every zumpus is a lorpus. Every gorpus is a zumpus. Alex is a rompus. Each brimpus is a vumpus. Zumpuses are wumpuses. Alex is a lempus, a shumpus, and a vumpus. Alex is a brimpus, Alex is not a lorpus, and Alex is a jompus.", + "query": "Prove: Alex is not a gorpus.", + "chain_of_thought": [ + "Alex is a brimpus, Alex is not a lorpus, and Alex is a jompus.", + "Alex is not a lorpus.\n\n", + "Assume Alex is a gorpus.", + "Every gorpus is a zumpus.", + "Alex is a zumpus.", + "Every zumpus is a lorpus.", + "Alex is a lorpus.", + "This contradicts with Alex is not a lorpus.", + "Alex is not a gorpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Polly is a lorpus. Everything that is a sterpus, a tumpus, and a zumpus is an impus and a numpus and a rompus. Impuses are brimpuses. Polly is a sterpus. Each numpus is a grimpus. Polly is a dumpus. Everything that is a sterpus, a tumpus, and a zumpus is a grimpus. Everything that is a lorpus, a sterpus, and a dumpus is a shumpus. Polly is a sterpus. Polly is a yumpus. Polly is a tumpus. Polly is a zumpus.", + "query": "Prove: Polly is a rompus.", + "chain_of_thought": [ + "Polly is a zumpus.", + "Polly is a tumpus.", + "Polly is a sterpus.", + "Polly is a sterpus, a tumpus, and a zumpus.", + "Everything that is a sterpus, a tumpus, and a zumpus is an impus and a numpus and a rompus.", + "Polly is an impus and a numpus and a rompus.", + "Polly is a rompus." + ] + }, + "in_context_example2": { + "question": "Each tumpus is a dumpus. Sterpuses are lempuses. Vumpuses are not dumpuses. Fae is a tumpus. Everything that is a zumpus, a numpus, or an impus is a dumpus. Everything that is a zumpus, a numpus, or an impus is a wumpus. Every vumpus is a wumpus. Everything that is an impus or a tumpus or a brimpus is a wumpus. Jompuses are grimpuses. Fae is a tumpus and a wumpus and a shumpus. Fae is a jompus and a vumpus and a sterpus.", + "query": "Prove: Fae is not an impus.", + "chain_of_thought": [ + "Fae is a jompus, a vumpus, and a sterpus.", + "Fae is a vumpus.", + "Vumpuses are not dumpuses.", + "Fae is not a dumpus.\n\n", + "Assume Fae is an impus.", + "Fae is a zumpus or a numpus or an impus.", + "Everything that is a zumpus, a numpus, or an impus is a dumpus.", + "Fae is a dumpus.", + "This contradicts with Fae is not a dumpus.", + "Fae is not an impus.\n\n" + ] + }, + "in_context_example3": { + "question": "Each wumpus is a brimpus. Tumpuses are vumpuses. Gorpuses are sterpuses. Each jompus is an impus. Every lempus is a grimpus. Rompuses are dumpuses. Wren is a jompus. Tumpuses are impuses, wumpuses, and gorpuses. Wren is a vumpus, a grimpus, and a yumpus. Wren is a lempus, Wren is not an impus, and Wren is a rompus.", + "query": "Prove: Wren is not a tumpus.", + "chain_of_thought": [ + "Wren is a lempus, Wren is not an impus, and Wren is a rompus.", + "Wren is not an impus.\n\n", + "Assume Wren is a tumpus.", + "Tumpuses are impuses, wumpuses, and gorpuses.", + "Wren is an impus and a wumpus and a gorpus.", + "Wren is an impus.", + "This contradicts with Wren is not an impus.", + "Wren is not a tumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Lempuses are rompuses. Everything that is a brimpus or a yumpus or a dumpus is a shumpus. Everything that is a zumpus, a brimpus, or a tumpus is a grimpus. Impuses are lorpuses. Everything that is a zumpus, a brimpus, or a tumpus is a lempus and a jompus and an impus. Sam is a vumpus. Sam is a brimpus.", + "query": "Prove: Sam is a jompus.", + "chain_of_thought": [ + "Sam is a brimpus.", + "Sam is a zumpus, a brimpus, or a tumpus.", + "Everything that is a zumpus, a brimpus, or a tumpus is a lempus and a jompus and an impus.", + "Sam is a lempus and a jompus and an impus.", + "Sam is a jompus." + ] + }, + "in_context_example5": { + "question": "Every brimpus is a dumpus. Wren is a lorpus. Everything that is a gorpus, a lempus, and a numpus is a zumpus. Wren is a yumpus. Each shumpus is a lorpus. Everything that is a gorpus and a yumpus and a lorpus is a vumpus. Wren is a gorpus. Everything that is a gorpus, a lempus, and a numpus is a shumpus, a brimpus, and an impus. Wren is a gorpus. Wren is a lempus. Wren is a yumpus. Wren is a numpus.", + "query": "Prove: Wren is an impus.", + "chain_of_thought": [ + "Wren is a numpus.", + "Wren is a lempus.", + "Wren is a gorpus.", + "Wren is a gorpus, a lempus, and a numpus.", + "Everything that is a gorpus, a lempus, and a numpus is a shumpus, a brimpus, and an impus.", + "Wren is a shumpus and a brimpus and an impus.", + "Wren is an impus." + ] + }, + "in_context_example6": { + "question": "Everything that is a lorpus, an impus, and a tumpus is a lempus. Sterpuses are gorpuses. Everything that is a lorpus, a yumpus, and a vumpus is a grimpus, a sterpus, and a rompus. Grimpuses are lempuses. Polly is an impus. Polly is a tumpus. Everything that is a lorpus and a yumpus and a vumpus is a lempus. Polly is a lorpus. Polly is a lorpus. Polly is a yumpus. Polly is a jompus. Polly is a vumpus.", + "query": "Prove: Polly is a rompus.", + "chain_of_thought": [ + "Polly is a vumpus.", + "Polly is a yumpus.", + "Polly is a lorpus.", + "Polly is a lorpus, a yumpus, and a vumpus.", + "Everything that is a lorpus, a yumpus, and a vumpus is a grimpus, a sterpus, and a rompus.", + "Polly is a grimpus, a sterpus, and a rompus.", + "Polly is a rompus." + ] + }, + "in_context_example7": { + "question": "Every gorpus is a lorpus. Vumpuses are lempuses. Every zumpus is a sterpus. Zumpuses are wumpuses, dumpuses, and yumpuses. Each gorpus is a vumpus. Polly is a tumpus. Vumpuses are not yumpuses. Every wumpus is a jompus. Every tumpus is a yumpus. Dumpuses are sterpuses. Polly is an impus. Polly is a gorpus.", + "query": "Prove: Polly is not a zumpus.", + "chain_of_thought": [ + "Polly is a gorpus.", + "Each gorpus is a vumpus.", + "Polly is a vumpus.", + "Vumpuses are not yumpuses.", + "Polly is not a yumpus.\n\n", + "Assume Polly is a zumpus.", + "Zumpuses are wumpuses, dumpuses, and yumpuses.", + "Polly is a wumpus and a dumpus and a yumpus.", + "Polly is a yumpus.", + "This contradicts with Polly is not a yumpus.", + "Polly is not a zumpus.\n\n" + ] + }, + "test_example": { + "question": "Numpuses are sterpuses. Everything that is a yumpus or an impus or a vumpus is a zumpus. Everything that is an impus or a grimpus or a wumpus is a lempus. Everything that is a yumpus, an impus, or a vumpus is a rompus, a tumpus, and a numpus. Rompuses are lorpuses. Polly is a lempus. Polly is an impus.", + "query": "Prove: Polly is a tumpus.", + "chain_of_thought": [ + "Polly is an impus.", + "Polly is a yumpus, an impus, or a vumpus.", + "Everything that is a yumpus, an impus, or a vumpus is a rompus, a tumpus, and a numpus.", + "Polly is a rompus and a tumpus and a numpus.", + "Polly is a tumpus." + ] + } + }, + "example70": { + "in_context_example0": { + "question": "Each yumpus is a rompus. Each impus is a wumpus. Everything that is a gorpus or a lorpus or a zumpus is a rompus. Everything that is a gorpus, a sterpus, or a rompus is a lempus. Everything that is a gorpus or a lorpus or a zumpus is an impus, a jompus, and a yumpus. Polly is a brimpus. Polly is a gorpus.", + "query": "Prove: Polly is a jompus.", + "chain_of_thought": [ + "Polly is a gorpus.", + "Polly is a gorpus or a lorpus or a zumpus.", + "Everything that is a gorpus or a lorpus or a zumpus is an impus, a jompus, and a yumpus.", + "Polly is an impus and a jompus and a yumpus.", + "Polly is a jompus." + ] + }, + "in_context_example1": { + "question": "Every shumpus is a lorpus. Everything that is a sterpus or a gorpus or a numpus is a zumpus. Each gorpus is a yumpus. Everything that is a sterpus, a gorpus, or a numpus is a rompus. Everything that is a grimpus, a numpus, or a lempus is a jompus. Alex is a brimpus and a grimpus and an impus. Alex is a shumpus and a gorpus and a numpus.", + "query": "Prove: Alex is a zumpus.", + "chain_of_thought": [ + "Alex is a shumpus, a gorpus, and a numpus.", + "Alex is a numpus.", + "Alex is a sterpus, a gorpus, or a numpus.", + "Everything that is a sterpus or a gorpus or a numpus is a zumpus.", + "Alex is a zumpus." + ] + }, + "in_context_example2": { + "question": "Polly is a grimpus. Each tumpus is a wumpus. Polly is a jompus. Everything that is a grimpus and a zumpus and a numpus is a tumpus, a lempus, and a brimpus. Everything that is a grimpus, a zumpus, and a numpus is a rompus. Everything that is a grimpus, a wumpus, and a jompus is a lorpus. Each lempus is a gorpus. Polly is a wumpus. Polly is a grimpus. Polly is a zumpus. Polly is a jompus. Polly is a numpus.", + "query": "Prove: Polly is a brimpus.", + "chain_of_thought": [ + "Polly is a numpus.", + "Polly is a zumpus.", + "Polly is a grimpus.", + "Polly is a grimpus and a zumpus and a numpus.", + "Everything that is a grimpus and a zumpus and a numpus is a tumpus, a lempus, and a brimpus.", + "Polly is a tumpus and a lempus and a brimpus.", + "Polly is a brimpus." + ] + }, + "in_context_example3": { + "question": "Every yumpus is a lorpus. Yumpuses are rompuses, vumpuses, and sterpuses. Everything that is a sterpus, a grimpus, or an impus is a lorpus. Rompuses are tumpuses. Vumpuses are shumpuses. Sally is a wumpus. Sally is a yumpus.", + "query": "Prove: Sally is a numpus or a gorpus or a sterpus.", + "chain_of_thought": [ + "Sally is a yumpus.", + "Yumpuses are rompuses, vumpuses, and sterpuses.", + "Sally is a rompus and a vumpus and a sterpus.", + "Sally is a sterpus.", + "Sally is a numpus, a gorpus, or a sterpus." + ] + }, + "in_context_example4": { + "question": "Every numpus is an impus. Vumpuses are jompuses. Gorpuses are yumpuses. Each numpus is a lorpus. Everything that is an impus, a grimpus, or a lempus is a shumpus. Max is a sterpus and a tumpus and a shumpus. Max is a gorpus and a numpus and a vumpus.", + "query": "Prove: Max is an impus, a dumpus, or a rompus.", + "chain_of_thought": [ + "Max is a gorpus and a numpus and a vumpus.", + "Max is a numpus.", + "Every numpus is an impus.", + "Max is an impus.", + "Max is an impus or a dumpus or a rompus." + ] + }, + "in_context_example5": { + "question": "Everything that is a gorpus, a grimpus, or a dumpus is a zumpus. Vumpuses are dumpuses. Every jompus is a gorpus. Everything that is a grimpus, a sterpus, or a lorpus is a tumpus. Everything that is a grimpus, a sterpus, or a lorpus is a lempus. Wren is a brimpus, a gorpus, and a zumpus. Wren is a vumpus and a jompus and a grimpus.", + "query": "Prove: Wren is a lempus.", + "chain_of_thought": [ + "Wren is a vumpus, a jompus, and a grimpus.", + "Wren is a grimpus.", + "Wren is a grimpus or a sterpus or a lorpus.", + "Everything that is a grimpus, a sterpus, or a lorpus is a lempus.", + "Wren is a lempus." + ] + }, + "in_context_example6": { + "question": "Everything that is a shumpus or a wumpus or a sterpus is a numpus. Lorpuses are wumpuses. Each tumpus is a wumpus. Yumpuses are gorpuses. Tumpuses are shumpuses, yumpuses, and lorpuses. Stella is a sterpus. Stella is a tumpus.", + "query": "Prove: Stella is a lempus, a vumpus, or a shumpus.", + "chain_of_thought": [ + "Stella is a tumpus.", + "Tumpuses are shumpuses, yumpuses, and lorpuses.", + "Stella is a shumpus and a yumpus and a lorpus.", + "Stella is a shumpus.", + "Stella is a lempus, a vumpus, or a shumpus." + ] + }, + "in_context_example7": { + "question": "Lorpuses are tumpuses. Yumpuses are lorpuses. Every sterpus is an impus. Wren is a jompus. Wren is a numpus. Yumpuses are rompuses. Lorpuses are numpuses. Dumpuses are not impuses. Everything that is a tumpus and a jompus and a numpus is a shumpus. Wren is a tumpus. Everything that is a lempus or a zumpus or a grimpus is a sterpus. Wren is a yumpus. Wren is a vumpus. Wren is a zumpus. Wren is a dumpus.", + "query": "Prove: Wren is a tumpus, Wren is a sterpus, and Wren is not a sterpus.", + "chain_of_thought": [ + "Wren is a dumpus.", + "Dumpuses are not impuses.", + "Wren is not an impus.\n\n", + "Assume Wren is a sterpus.", + "Every sterpus is an impus.", + "Wren is an impus.", + "This contradicts with Wren is not an impus.", + "Wren is not a sterpus.\n\n", + "Wren is a zumpus.", + "Wren is a lempus or a zumpus or a grimpus.", + "Everything that is a lempus or a zumpus or a grimpus is a sterpus.", + "Wren is a sterpus.", + "Wren is a yumpus.", + "Yumpuses are lorpuses.", + "Wren is a lorpus.", + "Lorpuses are tumpuses.", + "Wren is a tumpus.", + "Wren is a tumpus, Wren is a sterpus, and Wren is not a sterpus." + ] + }, + "test_example": { + "question": "Everything that is a gorpus, a brimpus, or a wumpus is a lorpus. Numpuses are lorpuses. Sam is a shumpus. Every shumpus is a rompus. Everything that is a gorpus or a brimpus or a wumpus is a rompus. Everything that is a dumpus, a brimpus, or a jompus is an impus. Every zumpus is a tumpus. Sam is a dumpus and a lempus and a lorpus. Sam is a numpus, Sam is not a rompus, and Sam is a zumpus.", + "query": "Prove: Sam is not a brimpus.", + "chain_of_thought": [ + "Sam is a numpus, Sam is not a rompus, and Sam is a zumpus.", + "Sam is not a rompus.\n\n", + "Assume Sam is a brimpus.", + "Sam is a gorpus or a brimpus or a wumpus.", + "Everything that is a gorpus or a brimpus or a wumpus is a rompus.", + "Sam is a rompus.", + "This contradicts with Sam is not a rompus.", + "Sam is not a brimpus.\n\n" + ] + } + }, + "example71": { + "in_context_example0": { + "question": "Sam is a lempus. Every lorpus is a lempus. Everything that is a tumpus, an impus, and a rompus is a lorpus, a wumpus, and a shumpus. Sam is a grimpus. Everything that is a lempus, a tumpus, and a grimpus is a numpus. Shumpuses are brimpuses. Everything that is a tumpus and an impus and a rompus is a lempus. Sam is a tumpus. Sam is a tumpus. Sam is an impus. Sam is a grimpus. Sam is a rompus.", + "query": "Prove: Sam is a wumpus.", + "chain_of_thought": [ + "Sam is a rompus.", + "Sam is an impus.", + "Sam is a tumpus.", + "Sam is a tumpus, an impus, and a rompus.", + "Everything that is a tumpus, an impus, and a rompus is a lorpus, a wumpus, and a shumpus.", + "Sam is a lorpus and a wumpus and a shumpus.", + "Sam is a wumpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a tumpus, a brimpus, or a jompus is a numpus. Every dumpus is a sterpus. Each zumpus is a tumpus. Each zumpus is a lorpus. Each grimpus is a jompus. Stella is a shumpus and a brimpus and a gorpus. Stella is a grimpus, a dumpus, and a zumpus.", + "query": "Prove: Stella is a rompus or an impus or a tumpus.", + "chain_of_thought": [ + "Stella is a grimpus, a dumpus, and a zumpus.", + "Stella is a zumpus.", + "Each zumpus is a tumpus.", + "Stella is a tumpus.", + "Stella is a rompus, an impus, or a tumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a tumpus or a jompus or a rompus is a yumpus. Everything that is a shumpus, a jompus, or a sterpus is a brimpus and a grimpus and a vumpus. Vumpuses are rompuses. Everything that is a shumpus or a jompus or a sterpus is a dumpus. Each grimpus is a numpus. Alex is a lempus. Alex is a jompus.", + "query": "Prove: Alex is a brimpus.", + "chain_of_thought": [ + "Alex is a jompus.", + "Alex is a shumpus, a jompus, or a sterpus.", + "Everything that is a shumpus, a jompus, or a sterpus is a brimpus and a grimpus and a vumpus.", + "Alex is a brimpus and a grimpus and a vumpus.", + "Alex is a brimpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a brimpus and a dumpus and a rompus is a shumpus. Sam is a brimpus. Everything that is a brimpus and a dumpus and a rompus is a grimpus and a yumpus and a zumpus. Sam is a vumpus. Every zumpus is a lempus. Each yumpus is a vumpus. Everything that is a brimpus, a vumpus, and an impus is a wumpus. Sam is an impus. Sam is a brimpus. Sam is a numpus. Sam is a dumpus. Sam is a rompus.", + "query": "Prove: Sam is a grimpus.", + "chain_of_thought": [ + "Sam is a rompus.", + "Sam is a dumpus.", + "Sam is a brimpus.", + "Sam is a brimpus and a dumpus and a rompus.", + "Everything that is a brimpus and a dumpus and a rompus is a grimpus and a yumpus and a zumpus.", + "Sam is a grimpus, a yumpus, and a zumpus.", + "Sam is a grimpus." + ] + }, + "in_context_example4": { + "question": "Jompuses are lorpuses, yumpuses, and lempuses. Everything that is a tumpus or a lempus or a dumpus is a zumpus. Jompuses are dumpuses. Each yumpus is a sterpus. Each lorpus is a dumpus. Stella is a grimpus. Stella is a jompus.", + "query": "Prove: Stella is a shumpus or a gorpus or a lempus.", + "chain_of_thought": [ + "Stella is a jompus.", + "Jompuses are lorpuses, yumpuses, and lempuses.", + "Stella is a lorpus, a yumpus, and a lempus.", + "Stella is a lempus.", + "Stella is a shumpus or a gorpus or a lempus." + ] + }, + "in_context_example5": { + "question": "Fae is a sterpus. Every gorpus is a lempus. Each lorpus is a yumpus. Each vumpus is a lempus. Vumpuses are impuses. Zumpuses are not impuses. Sterpuses are impuses. Zumpuses are lempuses. Gorpuses are vumpuses. Brimpuses are dumpuses. Fae is a wumpus, a yumpus, and a rompus. Fae is a brimpus, a lorpus, and a zumpus.", + "query": "Prove: Fae is not a gorpus.", + "chain_of_thought": [ + "Fae is a brimpus, a lorpus, and a zumpus.", + "Fae is a zumpus.", + "Zumpuses are not impuses.", + "Fae is not an impus.\n\n", + "Assume Fae is a gorpus.", + "Gorpuses are vumpuses.", + "Fae is a vumpus.", + "Vumpuses are impuses.", + "Fae is an impus.", + "This contradicts with Fae is not an impus.", + "Fae is not a gorpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Zumpuses are jompuses. Every jompus is a lorpus. Each yumpus is a numpus. Jompuses are numpuses. Zumpuses are tumpuses. Impuses are tumpuses. Fae is a yumpus. Grimpuses are lorpuses. Fae is a yumpus and a lorpus and a brimpus. Fae is an impus and Fae is not a numpus and Fae is a grimpus.", + "query": "Prove: Fae is not a zumpus.", + "chain_of_thought": [ + "Fae is an impus, Fae is not a numpus, and Fae is a grimpus.", + "Fae is not a numpus.\n\n", + "Assume Fae is a zumpus.", + "Zumpuses are jompuses.", + "Fae is a jompus.", + "Jompuses are numpuses.", + "Fae is a numpus.", + "This contradicts with Fae is not a numpus.", + "Fae is not a zumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Every gorpus is a zumpus. Numpuses are yumpuses. Each tumpus is a gorpus, a grimpus, and a shumpus. Zumpuses are grimpuses. Each tumpus is a dumpus. Shumpuses are dumpuses. Wren is a zumpus. Each wumpus is an impus. Wren is an impus and a lempus and a yumpus. Wren is not a grimpus and Wren is a wumpus and Wren is a numpus.", + "query": "Prove: Wren is not a tumpus.", + "chain_of_thought": [ + "Wren is not a grimpus, Wren is a wumpus, and Wren is a numpus.", + "Wren is not a grimpus.\n\n", + "Assume Wren is a tumpus.", + "Each tumpus is a gorpus, a grimpus, and a shumpus.", + "Wren is a gorpus and a grimpus and a shumpus.", + "Wren is a grimpus.", + "This contradicts with Wren is not a grimpus.", + "Wren is not a tumpus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a rompus or a yumpus or an impus is a zumpus. Gorpuses are shumpuses. Everything that is a vumpus, a rompus, or a grimpus is a yumpus. Sterpuses are impuses. Everything that is a vumpus or a rompus or a grimpus is a gorpus, a sterpus, and a lempus. Alex is a shumpus. Alex is a rompus.", + "query": "Prove: Alex is a lempus.", + "chain_of_thought": [ + "Alex is a rompus.", + "Alex is a vumpus, a rompus, or a grimpus.", + "Everything that is a vumpus or a rompus or a grimpus is a gorpus, a sterpus, and a lempus.", + "Alex is a gorpus, a sterpus, and a lempus.", + "Alex is a lempus." + ] + } + }, + "example72": { + "in_context_example0": { + "question": "Wumpuses are vumpuses. Numpuses are shumpuses. Every numpus is a jompus. Shumpuses are not gorpuses. Shumpuses are lempuses. Dumpuses are zumpuses. Rompuses are grimpuses. Zumpuses are gorpuses. Alex is a zumpus. Every dumpus is a rompus, a wumpus, and a gorpus. Alex is a jompus. Alex is a numpus.", + "query": "Prove: Alex is not a dumpus.", + "chain_of_thought": [ + "Alex is a numpus.", + "Numpuses are shumpuses.", + "Alex is a shumpus.", + "Shumpuses are not gorpuses.", + "Alex is not a gorpus.\n\n", + "Assume Alex is a dumpus.", + "Every dumpus is a rompus, a wumpus, and a gorpus.", + "Alex is a rompus and a wumpus and a gorpus.", + "Alex is a gorpus.", + "This contradicts with Alex is not a gorpus.", + "Alex is not a dumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Everything that is a zumpus, a yumpus, or a brimpus is a grimpus and a tumpus and a lorpus. Each grimpus is a vumpus. Everything that is a rompus or a brimpus or a wumpus is a sterpus. Everything that is a zumpus, a yumpus, or a brimpus is a dumpus. Lorpuses are numpuses. Sam is a wumpus. Sam is a brimpus.", + "query": "Prove: Sam is a tumpus.", + "chain_of_thought": [ + "Sam is a brimpus.", + "Sam is a zumpus, a yumpus, or a brimpus.", + "Everything that is a zumpus, a yumpus, or a brimpus is a grimpus and a tumpus and a lorpus.", + "Sam is a grimpus, a tumpus, and a lorpus.", + "Sam is a tumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a yumpus or a dumpus or a lempus is a tumpus. Grimpuses are vumpuses. Shumpuses are brimpuses. Everything that is a lempus or a jompus or an impus is a sterpus. Everything that is a yumpus or a dumpus or a lempus is a gorpus. Rex is a wumpus, a vumpus, and a sterpus. Rex is a lempus and a shumpus and a grimpus.", + "query": "Prove: Rex is a gorpus.", + "chain_of_thought": [ + "Rex is a lempus and a shumpus and a grimpus.", + "Rex is a lempus.", + "Rex is a yumpus or a dumpus or a lempus.", + "Everything that is a yumpus or a dumpus or a lempus is a gorpus.", + "Rex is a gorpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a zumpus or a rompus or a numpus is a tumpus. Yumpuses are tumpuses. Each shumpus is a vumpus. Every zumpus is a brimpus. Each yumpus is a zumpus. Fae is a numpus and a jompus and a vumpus. Fae is a yumpus and a zumpus and a shumpus.", + "query": "Prove: Fae is a gorpus, an impus, or a zumpus.", + "chain_of_thought": [ + "Fae is a yumpus and a zumpus and a shumpus.", + "Fae is a yumpus.", + "Each yumpus is a zumpus.", + "Fae is a zumpus.", + "Fae is a gorpus, an impus, or a zumpus." + ] + }, + "in_context_example4": { + "question": "Polly is a lempus. Polly is a gorpus. Everything that is a tumpus, a lempus, and a gorpus is a vumpus. Sterpuses are gorpuses. Polly is a tumpus. Everything that is a lempus, a rompus, and a jompus is a lorpus, a sterpus, and a brimpus. Everything that is a lempus, a rompus, and a jompus is a numpus. Every lorpus is an impus. Polly is a gorpus. Polly is a lempus. Polly is a rompus. Polly is a jompus.", + "query": "Prove: Polly is a brimpus.", + "chain_of_thought": [ + "Polly is a jompus.", + "Polly is a rompus.", + "Polly is a lempus.", + "Polly is a lempus and a rompus and a jompus.", + "Everything that is a lempus, a rompus, and a jompus is a lorpus, a sterpus, and a brimpus.", + "Polly is a lorpus and a sterpus and a brimpus.", + "Polly is a brimpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a grimpus, a brimpus, or a rompus is a wumpus. Each dumpus is a lempus. Everything that is a grimpus, a numpus, or a yumpus is an impus. Every jompus is a sterpus. Everything that is a grimpus, a numpus, or a yumpus is a jompus and a dumpus and a lorpus. Polly is a shumpus. Polly is a grimpus.", + "query": "Prove: Polly is a lorpus.", + "chain_of_thought": [ + "Polly is a grimpus.", + "Polly is a grimpus, a numpus, or a yumpus.", + "Everything that is a grimpus, a numpus, or a yumpus is a jompus and a dumpus and a lorpus.", + "Polly is a jompus and a dumpus and a lorpus.", + "Polly is a lorpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a shumpus or an impus or a vumpus is a numpus. Each dumpus is a sterpus. Everything that is a vumpus or a jompus or a gorpus is a grimpus. Everything that is a shumpus, an impus, or a vumpus is a brimpus. Yumpuses are zumpuses. Polly is a brimpus and a gorpus and a zumpus. Polly is a vumpus, a yumpus, and a dumpus.", + "query": "Prove: Polly is a numpus.", + "chain_of_thought": [ + "Polly is a vumpus, a yumpus, and a dumpus.", + "Polly is a vumpus.", + "Polly is a shumpus, an impus, or a vumpus.", + "Everything that is a shumpus or an impus or a vumpus is a numpus.", + "Polly is a numpus." + ] + }, + "in_context_example7": { + "question": "Every impus is a vumpus, a grimpus, and a wumpus. Everything that is a grimpus, a brimpus, or a numpus is a gorpus. Every wumpus is a brimpus. Each impus is a dumpus. Vumpuses are zumpuses. Fae is a gorpus. Fae is an impus.", + "query": "Prove: Fae is a grimpus, a yumpus, or a tumpus.", + "chain_of_thought": [ + "Fae is an impus.", + "Every impus is a vumpus, a grimpus, and a wumpus.", + "Fae is a vumpus, a grimpus, and a wumpus.", + "Fae is a grimpus.", + "Fae is a grimpus or a yumpus or a tumpus." + ] + }, + "test_example": { + "question": "Sally is a zumpus. Every jompus is a grimpus. Everything that is a zumpus and a lempus and a wumpus is a yumpus. Each gorpus is a vumpus. Every impus is a yumpus. Jompuses are not yumpuses. Sally is an impus. Everything that is a sterpus and a zumpus and a dumpus is a tumpus. Every lorpus is an impus. Sally is a dumpus. Everything that is a zumpus, a lempus, and a wumpus is a brimpus. Sally is a sterpus. Sally is a gorpus, a lorpus, and a jompus. Sally is a lempus. Sally is a dumpus, an impus, and a tumpus. Sally is a wumpus.", + "query": "Prove: Sally is not a zumpus.", + "chain_of_thought": [ + "Sally is a gorpus and a lorpus and a jompus.", + "Sally is a jompus.", + "Jompuses are not yumpuses.", + "Sally is not a yumpus.", + "Sally is a wumpus.", + "Sally is a lempus.\n\n", + "Assume Sally is a zumpus.", + "Sally is a zumpus, a lempus, and a wumpus.", + "Everything that is a zumpus and a lempus and a wumpus is a yumpus.", + "Sally is a yumpus.", + "This contradicts with Sally is not a yumpus.", + "Sally is not a zumpus.\n\n" + ] + } + }, + "example73": { + "in_context_example0": { + "question": "Max is a lempus. Vumpuses are brimpuses. Everything that is a dumpus, a yumpus, and a grimpus is a wumpus. Everything that is a dumpus, a lempus, and a rompus is a brimpus. Sterpuses are zumpuses. Max is a dumpus. Max is a rompus. Everything that is a dumpus and a yumpus and a grimpus is a vumpus, a sterpus, and a shumpus. Max is a lorpus. Max is a dumpus. Max is a yumpus. Max is a grimpus.", + "query": "Prove: Max is a shumpus.", + "chain_of_thought": [ + "Max is a grimpus.", + "Max is a yumpus.", + "Max is a dumpus.", + "Max is a dumpus and a yumpus and a grimpus.", + "Everything that is a dumpus and a yumpus and a grimpus is a vumpus, a sterpus, and a shumpus.", + "Max is a vumpus and a sterpus and a shumpus.", + "Max is a shumpus." + ] + }, + "in_context_example1": { + "question": "Every dumpus is a gorpus. Everything that is a jompus, a lorpus, or a shumpus is a zumpus. Each grimpus is a gorpus. Each grimpus is a jompus. Every rompus is a yumpus. Max is a gorpus and a yumpus and a brimpus. Max is a dumpus and a grimpus and a rompus.", + "query": "Prove: Max is a dumpus or a jompus or a tumpus.", + "chain_of_thought": [ + "Max is a dumpus, a grimpus, and a rompus.", + "Max is a grimpus.", + "Each grimpus is a jompus.", + "Max is a jompus.", + "Max is a dumpus, a jompus, or a tumpus." + ] + }, + "in_context_example2": { + "question": "Gorpuses are sterpuses. Everything that is a lorpus and an impus and a yumpus is a sterpus. Vumpuses are numpuses. Alex is an impus. Alex is a yumpus. Everything that is an impus, a jompus, and a shumpus is a grimpus. Alex is a lorpus. Everything that is an impus and a jompus and a shumpus is a vumpus and a gorpus and a rompus. Alex is a grimpus. Alex is an impus. Alex is a jompus. Alex is a shumpus.", + "query": "Prove: Alex is a rompus.", + "chain_of_thought": [ + "Alex is a shumpus.", + "Alex is a jompus.", + "Alex is an impus.", + "Alex is an impus and a jompus and a shumpus.", + "Everything that is an impus and a jompus and a shumpus is a vumpus and a gorpus and a rompus.", + "Alex is a vumpus and a gorpus and a rompus.", + "Alex is a rompus." + ] + }, + "in_context_example3": { + "question": "Sam is a yumpus. Numpuses are sterpuses. Each yumpus is a jompus. Each impus is a jompus, a rompus, and a brimpus. Each rompus is a tumpus. Impuses are lempuses. Dumpuses are gorpuses. Every brimpus is a gorpus. Sam is a vumpus, a lempus, and a gorpus. Sam is not a jompus, Sam is a numpus, and Sam is a dumpus.", + "query": "Prove: Sam is not an impus.", + "chain_of_thought": [ + "Sam is not a jompus, Sam is a numpus, and Sam is a dumpus.", + "Sam is not a jompus.\n\n", + "Assume Sam is an impus.", + "Each impus is a jompus, a rompus, and a brimpus.", + "Sam is a jompus, a rompus, and a brimpus.", + "Sam is a jompus.", + "This contradicts with Sam is not a jompus.", + "Sam is not an impus.\n\n" + ] + }, + "in_context_example4": { + "question": "Everything that is a dumpus, a jompus, or a tumpus is a shumpus. Each yumpus is a jompus. Each zumpus is a jompus. Yumpuses are sterpuses, zumpuses, and dumpuses. Sterpuses are shumpuses. Stella is a tumpus. Stella is a yumpus.", + "query": "Prove: Stella is a lempus, a dumpus, or a rompus.", + "chain_of_thought": [ + "Stella is a yumpus.", + "Yumpuses are sterpuses, zumpuses, and dumpuses.", + "Stella is a sterpus and a zumpus and a dumpus.", + "Stella is a dumpus.", + "Stella is a lempus, a dumpus, or a rompus." + ] + }, + "in_context_example5": { + "question": "Zumpuses are grimpuses. Grimpuses are dumpuses. Each jompus is a zumpus, a lorpus, and a dumpus. Jompuses are wumpuses. Gorpuses are rompuses. Lorpuses are tumpuses. Alex is a grimpus. Every lempus is a tumpus. Alex is an impus and a grimpus and a tumpus. Alex is a gorpus, Alex is a lempus, and Alex is not a dumpus.", + "query": "Prove: Alex is not a jompus.", + "chain_of_thought": [ + "Alex is a gorpus and Alex is a lempus and Alex is not a dumpus.", + "Alex is not a dumpus.\n\n", + "Assume Alex is a jompus.", + "Each jompus is a zumpus, a lorpus, and a dumpus.", + "Alex is a zumpus and a lorpus and a dumpus.", + "Alex is a dumpus.", + "This contradicts with Alex is not a dumpus.", + "Alex is not a jompus.\n\n" + ] + }, + "in_context_example6": { + "question": "Sterpuses are dumpuses. Every jompus is a rompus. Everything that is a tumpus, a zumpus, or a lempus is a numpus. Each lorpus is a shumpus. Everything that is a lempus or a shumpus or an impus is a vumpus. Polly is a jompus. Everything that is a tumpus, a zumpus, or a lempus is a rompus. Polly is a shumpus, a dumpus, and a grimpus. Polly is not a rompus, Polly is a lorpus, and Polly is a sterpus.", + "query": "Prove: Polly is not a lempus.", + "chain_of_thought": [ + "Polly is not a rompus and Polly is a lorpus and Polly is a sterpus.", + "Polly is not a rompus.\n\n", + "Assume Polly is a lempus.", + "Polly is a tumpus or a zumpus or a lempus.", + "Everything that is a tumpus, a zumpus, or a lempus is a rompus.", + "Polly is a rompus.", + "This contradicts with Polly is not a rompus.", + "Polly is not a lempus.\n\n" + ] + }, + "in_context_example7": { + "question": "Every rompus is a brimpus. Vumpuses are dumpuses. Each tumpus is a vumpus and a zumpus and a jompus. Each jompus is a brimpus. Stella is a lorpus. Tumpuses are yumpuses. Every rompus is not a zumpus. Each wumpus is an impus. Wumpuses are rompuses. Every lorpus is a zumpus. Stella is a yumpus. Stella is a wumpus.", + "query": "Prove: Stella is not a tumpus.", + "chain_of_thought": [ + "Stella is a wumpus.", + "Wumpuses are rompuses.", + "Stella is a rompus.", + "Every rompus is not a zumpus.", + "Stella is not a zumpus.\n\n", + "Assume Stella is a tumpus.", + "Each tumpus is a vumpus and a zumpus and a jompus.", + "Stella is a vumpus, a zumpus, and a jompus.", + "Stella is a zumpus.", + "This contradicts with Stella is not a zumpus.", + "Stella is not a tumpus.\n\n" + ] + }, + "test_example": { + "question": "Numpuses are jompuses. Everything that is a zumpus, a dumpus, and a shumpus is a lempus. Polly is a zumpus. Polly is a gorpus. Everything that is a rompus, a zumpus, and a gorpus is a tumpus. Impuses are grimpuses. Polly is a rompus. Everything that is a zumpus and a dumpus and a shumpus is a numpus and an impus and a vumpus. Polly is a gorpus. Polly is a zumpus. Polly is a dumpus. Polly is a shumpus.", + "query": "Prove: Polly is a vumpus.", + "chain_of_thought": [ + "Polly is a shumpus.", + "Polly is a dumpus.", + "Polly is a zumpus.", + "Polly is a zumpus, a dumpus, and a shumpus.", + "Everything that is a zumpus and a dumpus and a shumpus is a numpus and an impus and a vumpus.", + "Polly is a numpus and an impus and a vumpus.", + "Polly is a vumpus." + ] + } + }, + "example74": { + "in_context_example0": { + "question": "Everything that is a zumpus, a yumpus, or a rompus is a jompus. Sterpuses are gorpuses. Everything that is a zumpus, a yumpus, or a rompus is a dumpus. Every numpus is a tumpus. Everything that is a rompus or a vumpus or a shumpus is a wumpus. Polly is a grimpus, a vumpus, and a gorpus. Polly is a rompus, a sterpus, and a numpus.", + "query": "Prove: Polly is a jompus.", + "chain_of_thought": [ + "Polly is a rompus and a sterpus and a numpus.", + "Polly is a rompus.", + "Polly is a zumpus, a yumpus, or a rompus.", + "Everything that is a zumpus, a yumpus, or a rompus is a jompus.", + "Polly is a jompus." + ] + }, + "in_context_example1": { + "question": "Rex is a sterpus. Every dumpus is a wumpus. Every impus is a gorpus. Every shumpus is a lempus. Every impus is a grimpus and a zumpus and a lorpus. Each sterpus is a grimpus. Every lorpus is a lempus. Every zumpus is a tumpus. Rex is a rompus and a lempus and a brimpus. Rex is not a grimpus, Rex is a shumpus, and Rex is a dumpus.", + "query": "Prove: Rex is not an impus.", + "chain_of_thought": [ + "Rex is not a grimpus and Rex is a shumpus and Rex is a dumpus.", + "Rex is not a grimpus.\n\n", + "Assume Rex is an impus.", + "Every impus is a grimpus and a zumpus and a lorpus.", + "Rex is a grimpus, a zumpus, and a lorpus.", + "Rex is a grimpus.", + "This contradicts with Rex is not a grimpus.", + "Rex is not an impus.\n\n" + ] + }, + "in_context_example2": { + "question": "Lorpuses are zumpuses. Dumpuses are wumpuses. Yumpuses are grimpuses. Everything that is a zumpus, a grimpus, or a rompus is a numpus. Lorpuses are lempuses. Wren is a wumpus, a grimpus, and a tumpus. Wren is a yumpus, a lorpus, and a dumpus.", + "query": "Prove: Wren is a brimpus, a zumpus, or a sterpus.", + "chain_of_thought": [ + "Wren is a yumpus and a lorpus and a dumpus.", + "Wren is a lorpus.", + "Lorpuses are zumpuses.", + "Wren is a zumpus.", + "Wren is a brimpus, a zumpus, or a sterpus." + ] + }, + "in_context_example3": { + "question": "Sally is a numpus. Sally is a sterpus. Everything that is a dumpus, a shumpus, and a sterpus is a wumpus. Everything that is a shumpus, a rompus, and an impus is a yumpus. Tumpuses are dumpuses. Everything that is a shumpus and a rompus and an impus is a sterpus. Sally is a shumpus. Every rompus is a brimpus. Sally is a dumpus. Each numpus is a yumpus. Sally is not a yumpus and Sally is a rompus and Sally is a tumpus. Sally is a numpus and a dumpus and a zumpus. Sally is a rompus. Sally is an impus.", + "query": "Prove: Sally is not a shumpus.", + "chain_of_thought": [ + "Sally is not a yumpus, Sally is a rompus, and Sally is a tumpus.", + "Sally is not a yumpus.", + "Sally is an impus.", + "Sally is a rompus.\n\n", + "Assume Sally is a shumpus.", + "Sally is a shumpus and a rompus and an impus.", + "Everything that is a shumpus, a rompus, and an impus is a yumpus.", + "Sally is a yumpus.", + "This contradicts with Sally is not a yumpus.", + "Sally is not a shumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Each dumpus is a wumpus. Wren is a gorpus. Every dumpus is a numpus and a lorpus and a vumpus. Numpuses are tumpuses. Every lorpus is a yumpus. Brimpuses are impuses. Shumpuses are grimpuses. Every gorpus is a vumpus. Wren is an impus, a sterpus, and a rompus. Wren is not a vumpus, Wren is a shumpus, and Wren is a brimpus.", + "query": "Prove: Wren is not a dumpus.", + "chain_of_thought": [ + "Wren is not a vumpus, Wren is a shumpus, and Wren is a brimpus.", + "Wren is not a vumpus.\n\n", + "Assume Wren is a dumpus.", + "Every dumpus is a numpus and a lorpus and a vumpus.", + "Wren is a numpus, a lorpus, and a vumpus.", + "Wren is a vumpus.", + "This contradicts with Wren is not a vumpus.", + "Wren is not a dumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Wren is a yumpus. Lempuses are jompuses. Each sterpus is a tumpus. Everything that is a yumpus and a vumpus and an impus is a shumpus. Wren is a vumpus. Everything that is a vumpus, a brimpus, and a numpus is a zumpus. Wren is an impus. Everything that is a vumpus and a brimpus and a numpus is a dumpus, a sterpus, and a lempus. Wren is a vumpus. Wren is an impus. Wren is a brimpus. Wren is a numpus.", + "query": "Prove: Wren is a dumpus.", + "chain_of_thought": [ + "Wren is a numpus.", + "Wren is a brimpus.", + "Wren is a vumpus.", + "Wren is a vumpus and a brimpus and a numpus.", + "Everything that is a vumpus and a brimpus and a numpus is a dumpus, a sterpus, and a lempus.", + "Wren is a dumpus and a sterpus and a lempus.", + "Wren is a dumpus." + ] + }, + "in_context_example6": { + "question": "Yumpuses are vumpuses. Everything that is a gorpus, a dumpus, or a sterpus is a wumpus. Each shumpus is a numpus. Stella is a shumpus. Yumpuses are impuses. Everything that is a gorpus, a dumpus, or a sterpus is not a numpus. Everything that is a wumpus, a dumpus, or a grimpus is a shumpus. Impuses are jompuses. Every impus is a numpus. Stella is a zumpus. Stella is a dumpus.", + "query": "Prove: Stella is not a yumpus.", + "chain_of_thought": [ + "Stella is a dumpus.", + "Stella is a gorpus, a dumpus, or a sterpus.", + "Everything that is a gorpus, a dumpus, or a sterpus is not a numpus.", + "Stella is not a numpus.\n\n", + "Assume Stella is a yumpus.", + "Yumpuses are impuses.", + "Stella is an impus.", + "Every impus is a numpus.", + "Stella is a numpus.", + "This contradicts with Stella is not a numpus.", + "Stella is not a yumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Dumpuses are tumpuses. Everything that is a gorpus, a rompus, and a vumpus is a zumpus. Everything that is a jompus, a gorpus, and a grimpus is an impus. Fae is a grimpus. Lorpuses are grimpuses. Fae is a gorpus. Fae is a jompus. Everything that is a gorpus, a rompus, and a vumpus is a lorpus and a dumpus and a shumpus. Fae is a tumpus. Fae is a gorpus. Fae is a rompus. Fae is a vumpus.", + "query": "Prove: Fae is a shumpus.", + "chain_of_thought": [ + "Fae is a vumpus.", + "Fae is a rompus.", + "Fae is a gorpus.", + "Fae is a gorpus, a rompus, and a vumpus.", + "Everything that is a gorpus, a rompus, and a vumpus is a lorpus and a dumpus and a shumpus.", + "Fae is a lorpus, a dumpus, and a shumpus.", + "Fae is a shumpus." + ] + }, + "test_example": { + "question": "Each gorpus is a yumpus and a dumpus and a jompus. Sally is a numpus. Grimpuses are not dumpuses. Each sterpus is a brimpus. Gorpuses are zumpuses. Every jompus is a zumpus. Every lempus is an impus. Grimpuses are vumpuses. Numpuses are dumpuses. Each yumpus is a brimpus. Sally is a brimpus and a numpus and a shumpus. Sally is a grimpus and a sterpus and a lempus.", + "query": "Prove: Sally is not a gorpus.", + "chain_of_thought": [ + "Sally is a grimpus, a sterpus, and a lempus.", + "Sally is a grimpus.", + "Grimpuses are not dumpuses.", + "Sally is not a dumpus.\n\n", + "Assume Sally is a gorpus.", + "Each gorpus is a yumpus and a dumpus and a jompus.", + "Sally is a yumpus and a dumpus and a jompus.", + "Sally is a dumpus.", + "This contradicts with Sally is not a dumpus.", + "Sally is not a gorpus.\n\n" + ] + } + }, + "example75": { + "in_context_example0": { + "question": "Everything that is a lorpus or a zumpus or an impus is a jompus. Wumpuses are impuses. Shumpuses are grimpuses. Every lempus is a jompus. Every wumpus is a lempus, a zumpus, and a shumpus. Sam is a gorpus. Sam is a wumpus.", + "query": "Prove: Sam is a vumpus, a yumpus, or a zumpus.", + "chain_of_thought": [ + "Sam is a wumpus.", + "Every wumpus is a lempus, a zumpus, and a shumpus.", + "Sam is a lempus and a zumpus and a shumpus.", + "Sam is a zumpus.", + "Sam is a vumpus, a yumpus, or a zumpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a lempus, a numpus, and a tumpus is a lorpus. Wren is a lorpus. Lorpuses are wumpuses. Everything that is a sterpus or a jompus or a zumpus is not a wumpus. Wren is an impus. Everything that is a dumpus or a zumpus or a grimpus is a yumpus. Everything that is a lempus and a vumpus and an impus is a grimpus. Everything that is a sterpus or a jompus or a zumpus is a rompus. Wren is a vumpus. Everything that is a lempus, a numpus, and a tumpus is a wumpus. Wren is a lempus. Wren is a zumpus. Wren is a numpus. Wren is a yumpus. Wren is a tumpus.", + "query": "Prove: Wren is not a lempus.", + "chain_of_thought": [ + "Wren is a zumpus.", + "Wren is a sterpus, a jompus, or a zumpus.", + "Everything that is a sterpus or a jompus or a zumpus is not a wumpus.", + "Wren is not a wumpus.", + "Wren is a tumpus.", + "Wren is a numpus.\n\n", + "Assume Wren is a lempus.", + "Wren is a lempus, a numpus, and a tumpus.", + "Everything that is a lempus, a numpus, and a tumpus is a wumpus.", + "Wren is a wumpus.", + "This contradicts with Wren is not a wumpus.", + "Wren is not a lempus.\n\n" + ] + }, + "in_context_example2": { + "question": "Every vumpus is a shumpus. Everything that is a tumpus, a sterpus, and a zumpus is a wumpus and a vumpus and a gorpus. Everything that is a tumpus, a sterpus, and a zumpus is a lempus. Stella is an impus. Stella is a tumpus. Everything that is an impus, a tumpus, and a lempus is a yumpus. Every gorpus is a numpus. Stella is a lempus. Stella is a tumpus. Stella is a sterpus. Stella is a lempus. Stella is a zumpus.", + "query": "Prove: Stella is a wumpus.", + "chain_of_thought": [ + "Stella is a zumpus.", + "Stella is a sterpus.", + "Stella is a tumpus.", + "Stella is a tumpus, a sterpus, and a zumpus.", + "Everything that is a tumpus, a sterpus, and a zumpus is a wumpus and a vumpus and a gorpus.", + "Stella is a wumpus and a vumpus and a gorpus.", + "Stella is a wumpus." + ] + }, + "in_context_example3": { + "question": "Jompuses are zumpuses. Wumpuses are impuses. Every rompus is a grimpus, a jompus, and an impus. Grimpuses are dumpuses. Each numpus is a sterpus. Each rompus is a zumpus. Every gorpus is a yumpus. Fae is a wumpus. Fae is a yumpus, a sterpus, and a dumpus. Fae is a gorpus, Fae is a numpus, and Fae is not an impus.", + "query": "Prove: Fae is not a rompus.", + "chain_of_thought": [ + "Fae is a gorpus and Fae is a numpus and Fae is not an impus.", + "Fae is not an impus.\n\n", + "Assume Fae is a rompus.", + "Every rompus is a grimpus, a jompus, and an impus.", + "Fae is a grimpus, a jompus, and an impus.", + "Fae is an impus.", + "This contradicts with Fae is not an impus.", + "Fae is not a rompus.\n\n" + ] + }, + "in_context_example4": { + "question": "Everything that is a gorpus, a tumpus, or a sterpus is a grimpus. Lempuses are jompuses. Every yumpus is a wumpus. Yumpuses are gorpuses. Dumpuses are grimpuses. Polly is a shumpus, a vumpus, and a jompus. Polly is a yumpus, a lempus, and a dumpus.", + "query": "Prove: Polly is a numpus or a lempus or a gorpus.", + "chain_of_thought": [ + "Polly is a yumpus, a lempus, and a dumpus.", + "Polly is a yumpus.", + "Yumpuses are gorpuses.", + "Polly is a gorpus.", + "Polly is a numpus or a lempus or a gorpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a lorpus, a grimpus, or a brimpus is a wumpus. Each impus is a sterpus. Everything that is a numpus, a brimpus, or a shumpus is a tumpus. Every gorpus is a jompus. Everything that is a lorpus or a grimpus or a brimpus is a vumpus, an impus, and a gorpus. Stella is a jompus. Stella is a brimpus.", + "query": "Prove: Stella is a vumpus.", + "chain_of_thought": [ + "Stella is a brimpus.", + "Stella is a lorpus or a grimpus or a brimpus.", + "Everything that is a lorpus or a grimpus or a brimpus is a vumpus, an impus, and a gorpus.", + "Stella is a vumpus and an impus and a gorpus.", + "Stella is a vumpus." + ] + }, + "in_context_example6": { + "question": "Lempuses are tumpuses. Gorpuses are lempuses and jompuses and lorpuses. Everything that is a lorpus or a tumpus or a dumpus is a vumpus. Every gorpus is a dumpus. Every jompus is a dumpus. Sally is a wumpus. Sally is a gorpus.", + "query": "Prove: Sally is a lorpus, an impus, or a yumpus.", + "chain_of_thought": [ + "Sally is a gorpus.", + "Gorpuses are lempuses and jompuses and lorpuses.", + "Sally is a lempus, a jompus, and a lorpus.", + "Sally is a lorpus.", + "Sally is a lorpus, an impus, or a yumpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a yumpus, a zumpus, or a sterpus is a rompus. Everything that is a shumpus or a zumpus or a jompus is a sterpus. Polly is a dumpus. Everything that is a numpus, a vumpus, or a grimpus is a tumpus. Everything that is a gorpus, a vumpus, or a yumpus is a rompus. Dumpuses are tumpuses. Everything that is a numpus, a vumpus, or a grimpus is a lorpus. Everything that is a shumpus, a zumpus, or a jompus is not a tumpus. Polly is a rompus. Polly is a zumpus.", + "query": "Prove: Polly is not a vumpus.", + "chain_of_thought": [ + "Polly is a zumpus.", + "Polly is a shumpus or a zumpus or a jompus.", + "Everything that is a shumpus, a zumpus, or a jompus is not a tumpus.", + "Polly is not a tumpus.\n\n", + "Assume Polly is a vumpus.", + "Polly is a numpus, a vumpus, or a grimpus.", + "Everything that is a numpus, a vumpus, or a grimpus is a tumpus.", + "Polly is a tumpus.", + "This contradicts with Polly is not a tumpus.", + "Polly is not a vumpus.\n\n" + ] + }, + "test_example": { + "question": "Gorpuses are shumpuses. Everything that is a vumpus or a yumpus or a grimpus is a sterpus. Each impus is a brimpus. Each impus is a gorpus. Everything that is a vumpus, a yumpus, or a grimpus is a wumpus. Each numpus is a sterpus. Rex is a numpus. Everything that is a jompus, a grimpus, or a lempus is a shumpus. Each gorpus is not a sterpus. Rex is a wumpus. Rex is an impus.", + "query": "Prove: Rex is not a grimpus.", + "chain_of_thought": [ + "Rex is an impus.", + "Each impus is a gorpus.", + "Rex is a gorpus.", + "Each gorpus is not a sterpus.", + "Rex is not a sterpus.\n\n", + "Assume Rex is a grimpus.", + "Rex is a vumpus, a yumpus, or a grimpus.", + "Everything that is a vumpus or a yumpus or a grimpus is a sterpus.", + "Rex is a sterpus.", + "This contradicts with Rex is not a sterpus.", + "Rex is not a grimpus.\n\n" + ] + } + }, + "example76": { + "in_context_example0": { + "question": "Everything that is a yumpus or a tumpus or a vumpus is a sterpus. Everything that is a wumpus, a tumpus, or a brimpus is a gorpus. Everything that is a wumpus, a tumpus, or a brimpus is a grimpus and a zumpus and a rompus. Every rompus is a vumpus. Grimpuses are yumpuses. Polly is an impus. Polly is a tumpus.", + "query": "Prove: Polly is a zumpus.", + "chain_of_thought": [ + "Polly is a tumpus.", + "Polly is a wumpus or a tumpus or a brimpus.", + "Everything that is a wumpus, a tumpus, or a brimpus is a grimpus and a zumpus and a rompus.", + "Polly is a grimpus, a zumpus, and a rompus.", + "Polly is a zumpus." + ] + }, + "in_context_example1": { + "question": "Rompuses are numpuses. Every sterpus is a jompus. Tumpuses are zumpuses and yumpuses and impuses. Wren is a vumpus. Each zumpus is a vumpus. Yumpuses are lorpuses. Every vumpus is an impus. Each tumpus is a shumpus. Wren is a lempus and a brimpus and a jompus. Wren is a sterpus, Wren is not an impus, and Wren is a rompus.", + "query": "Prove: Wren is not a tumpus.", + "chain_of_thought": [ + "Wren is a sterpus and Wren is not an impus and Wren is a rompus.", + "Wren is not an impus.\n\n", + "Assume Wren is a tumpus.", + "Tumpuses are zumpuses and yumpuses and impuses.", + "Wren is a zumpus and a yumpus and an impus.", + "Wren is an impus.", + "This contradicts with Wren is not an impus.", + "Wren is not a tumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Yumpuses are shumpuses. Tumpuses are lempuses. Vumpuses are impuses. Each gorpus is a grimpus. Alex is a lempus. Lempuses are sterpuses. Gorpuses are tumpuses. Each tumpus is a sterpus. Alex is a numpus and an impus and a rompus. Alex is a vumpus and Alex is not a sterpus and Alex is a yumpus.", + "query": "Prove: Alex is not a gorpus.", + "chain_of_thought": [ + "Alex is a vumpus and Alex is not a sterpus and Alex is a yumpus.", + "Alex is not a sterpus.\n\n", + "Assume Alex is a gorpus.", + "Gorpuses are tumpuses.", + "Alex is a tumpus.", + "Each tumpus is a sterpus.", + "Alex is a sterpus.", + "This contradicts with Alex is not a sterpus.", + "Alex is not a gorpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Every shumpus is a yumpus. Everything that is a yumpus or a wumpus or a rompus is a dumpus. Brimpuses are vumpuses, wumpuses, and shumpuses. Every brimpus is a yumpus. Vumpuses are rompuses. Rex is a numpus. Rex is a brimpus.", + "query": "Prove: Rex is a gorpus or a wumpus or a sterpus.", + "chain_of_thought": [ + "Rex is a brimpus.", + "Brimpuses are vumpuses, wumpuses, and shumpuses.", + "Rex is a vumpus, a wumpus, and a shumpus.", + "Rex is a wumpus.", + "Rex is a gorpus or a wumpus or a sterpus." + ] + }, + "in_context_example4": { + "question": "Yumpuses are tumpuses. Everything that is a shumpus or a lempus or a vumpus is a tumpus. Everything that is a shumpus, a lempus, or a vumpus is a gorpus. Jompuses are zumpuses. Everything that is a shumpus, a sterpus, or a brimpus is a wumpus. Stella is a grimpus, a sterpus, and a tumpus. Stella is a yumpus and a shumpus and a jompus.", + "query": "Prove: Stella is a gorpus.", + "chain_of_thought": [ + "Stella is a yumpus, a shumpus, and a jompus.", + "Stella is a shumpus.", + "Stella is a shumpus, a lempus, or a vumpus.", + "Everything that is a shumpus, a lempus, or a vumpus is a gorpus.", + "Stella is a gorpus." + ] + }, + "in_context_example5": { + "question": "Grimpuses are yumpuses. Lorpuses are rompuses. Everything that is a numpus, a dumpus, or a rompus is a tumpus. Grimpuses are lorpuses and dumpuses and jompuses. Every jompus is a wumpus. Sam is an impus. Sam is a grimpus.", + "query": "Prove: Sam is a jompus, a dumpus, or a zumpus.", + "chain_of_thought": [ + "Sam is a grimpus.", + "Grimpuses are lorpuses and dumpuses and jompuses.", + "Sam is a lorpus and a dumpus and a jompus.", + "Sam is a dumpus.", + "Sam is a jompus, a dumpus, or a zumpus." + ] + }, + "in_context_example6": { + "question": "Sterpuses are yumpuses. Everything that is a shumpus and a zumpus and a grimpus is a numpus. Alex is a zumpus. Each wumpus is a vumpus. Everything that is a shumpus, a lorpus, and a brimpus is not a yumpus. Every rompus is a grimpus. Alex is a grimpus. Alex is a sterpus. Rompuses are yumpuses and wumpuses and impuses. Alex is a shumpus. Everything that is a shumpus and a lorpus and a brimpus is a numpus. Each impus is a dumpus. Alex is a sterpus. Alex is a shumpus. Alex is a lorpus. Alex is a brimpus.", + "query": "Prove: Alex is not a rompus.", + "chain_of_thought": [ + "Alex is a brimpus.", + "Alex is a lorpus.", + "Alex is a shumpus.", + "Alex is a shumpus, a lorpus, and a brimpus.", + "Everything that is a shumpus, a lorpus, and a brimpus is not a yumpus.", + "Alex is not a yumpus.\n\n", + "Assume Alex is a rompus.", + "Rompuses are yumpuses and wumpuses and impuses.", + "Alex is a yumpus and a wumpus and an impus.", + "Alex is a yumpus.", + "This contradicts with Alex is not a yumpus.", + "Alex is not a rompus.\n\n" + ] + }, + "in_context_example7": { + "question": "Rex is a gorpus. Everything that is a gorpus and a shumpus and a jompus is a vumpus. Everything that is a gorpus and a lorpus and a zumpus is a tumpus. Rex is a jompus. Grimpuses are vumpuses. Rex is a shumpus. Everything that is a gorpus, a lorpus, and a zumpus is a numpus and a wumpus and a grimpus. Numpuses are impuses. Rex is a gorpus. Rex is a lorpus. Rex is a yumpus. Rex is a zumpus.", + "query": "Prove: Rex is a wumpus.", + "chain_of_thought": [ + "Rex is a zumpus.", + "Rex is a lorpus.", + "Rex is a gorpus.", + "Rex is a gorpus and a lorpus and a zumpus.", + "Everything that is a gorpus, a lorpus, and a zumpus is a numpus and a wumpus and a grimpus.", + "Rex is a numpus, a wumpus, and a grimpus.", + "Rex is a wumpus." + ] + }, + "test_example": { + "question": "Tumpuses are zumpuses. Everything that is a lorpus, an impus, and a brimpus is a gorpus, a tumpus, and a vumpus. Polly is a lorpus. Polly is a zumpus. Everything that is a lorpus and an impus and a brimpus is a zumpus. Everything that is a numpus, a lorpus, and a zumpus is a lempus. Polly is a numpus. Each vumpus is a shumpus. Polly is a lorpus. Polly is a lempus. Polly is an impus. Polly is a brimpus.", + "query": "Prove: Polly is a gorpus.", + "chain_of_thought": [ + "Polly is a brimpus.", + "Polly is an impus.", + "Polly is a lorpus.", + "Polly is a lorpus and an impus and a brimpus.", + "Everything that is a lorpus, an impus, and a brimpus is a gorpus, a tumpus, and a vumpus.", + "Polly is a gorpus, a tumpus, and a vumpus.", + "Polly is a gorpus." + ] + } + }, + "example77": { + "in_context_example0": { + "question": "Numpuses are impuses. Dumpuses are grimpuses. Every dumpus is a wumpus. Everything that is a yumpus or a wumpus or a sterpus is an impus. Every lempus is a sterpus. Alex is a zumpus and an impus and a jompus. Alex is a lempus, a dumpus, and a numpus.", + "query": "Prove: Alex is a wumpus, a rompus, or a lempus.", + "chain_of_thought": [ + "Alex is a lempus and a dumpus and a numpus.", + "Alex is a dumpus.", + "Every dumpus is a wumpus.", + "Alex is a wumpus.", + "Alex is a wumpus or a rompus or a lempus." + ] + }, + "in_context_example1": { + "question": "Every impus is a tumpus. Impuses are zumpuses and wumpuses and gorpuses. Every zumpus is a dumpus. Everything that is a yumpus, a wumpus, or a brimpus is a rompus. Gorpuses are yumpuses. Rex is a dumpus. Rex is an impus.", + "query": "Prove: Rex is a grimpus or a wumpus or a shumpus.", + "chain_of_thought": [ + "Rex is an impus.", + "Impuses are zumpuses and wumpuses and gorpuses.", + "Rex is a zumpus, a wumpus, and a gorpus.", + "Rex is a wumpus.", + "Rex is a grimpus or a wumpus or a shumpus." + ] + }, + "in_context_example2": { + "question": "Polly is an impus. Everything that is an impus, a gorpus, and a numpus is a wumpus. Every grimpus is a shumpus. Each tumpus is a rompus. Polly is a shumpus. Everything that is a shumpus, an impus, and a wumpus is a vumpus. Polly is a wumpus. Everything that is an impus and a gorpus and a numpus is a dumpus and a grimpus and a tumpus. Polly is an impus. Polly is a gorpus. Polly is a sterpus. Polly is a numpus.", + "query": "Prove: Polly is a dumpus.", + "chain_of_thought": [ + "Polly is a numpus.", + "Polly is a gorpus.", + "Polly is an impus.", + "Polly is an impus and a gorpus and a numpus.", + "Everything that is an impus and a gorpus and a numpus is a dumpus and a grimpus and a tumpus.", + "Polly is a dumpus, a grimpus, and a tumpus.", + "Polly is a dumpus." + ] + }, + "in_context_example3": { + "question": "Jompuses are gorpuses and brimpuses and sterpuses. Jompuses are shumpuses. Everything that is a brimpus, a rompus, or a shumpus is a zumpus. Gorpuses are dumpuses. Sterpuses are lempuses. Fae is a dumpus. Fae is a jompus.", + "query": "Prove: Fae is a brimpus, a vumpus, or a yumpus.", + "chain_of_thought": [ + "Fae is a jompus.", + "Jompuses are gorpuses and brimpuses and sterpuses.", + "Fae is a gorpus, a brimpus, and a sterpus.", + "Fae is a brimpus.", + "Fae is a brimpus, a vumpus, or a yumpus." + ] + }, + "in_context_example4": { + "question": "Each yumpus is an impus. Everything that is a jompus or a rompus or an impus is a dumpus. Each gorpus is a numpus. Brimpuses are vumpuses. Gorpuses are yumpuses, rompuses, and brimpuses. Alex is a wumpus. Alex is a gorpus.", + "query": "Prove: Alex is a zumpus, a grimpus, or a rompus.", + "chain_of_thought": [ + "Alex is a gorpus.", + "Gorpuses are yumpuses, rompuses, and brimpuses.", + "Alex is a yumpus, a rompus, and a brimpus.", + "Alex is a rompus.", + "Alex is a zumpus, a grimpus, or a rompus." + ] + }, + "in_context_example5": { + "question": "Every brimpus is a vumpus. Each numpus is a shumpus. Brimpuses are dumpuses. Everything that is a wumpus, a dumpus, or a shumpus is a zumpus. Every dumpus is a vumpus. Rex is a vumpus and a wumpus and a grimpus. Rex is a numpus, a dumpus, and a brimpus.", + "query": "Prove: Rex is a lorpus, a yumpus, or a dumpus.", + "chain_of_thought": [ + "Rex is a numpus and a dumpus and a brimpus.", + "Rex is a brimpus.", + "Brimpuses are dumpuses.", + "Rex is a dumpus.", + "Rex is a lorpus or a yumpus or a dumpus." + ] + }, + "in_context_example6": { + "question": "Zumpuses are tumpuses. Everything that is a yumpus and an impus and a grimpus is a jompus. Fae is a grimpus. Fae is an impus. Each gorpus is a vumpus. Everything that is an impus and a numpus and a dumpus is a gorpus, a sterpus, and a zumpus. Everything that is an impus, a numpus, and a dumpus is a yumpus. Fae is a yumpus. Fae is a grimpus. Fae is an impus. Fae is a numpus. Fae is a dumpus.", + "query": "Prove: Fae is a sterpus.", + "chain_of_thought": [ + "Fae is a dumpus.", + "Fae is a numpus.", + "Fae is an impus.", + "Fae is an impus, a numpus, and a dumpus.", + "Everything that is an impus and a numpus and a dumpus is a gorpus, a sterpus, and a zumpus.", + "Fae is a gorpus, a sterpus, and a zumpus.", + "Fae is a sterpus." + ] + }, + "in_context_example7": { + "question": "Yumpuses are gorpuses. Yumpuses are dumpuses. Brimpuses are numpuses, impuses, and yumpuses. Sam is a sterpus. Every sterpus is an impus. Numpuses are lempuses. Lorpuses are gorpuses. Every brimpus is a tumpus. Sam is a vumpus and a wumpus and a gorpus. Sam is a yumpus, Sam is a lorpus, and Sam is not an impus.", + "query": "Prove: Sam is not a brimpus.", + "chain_of_thought": [ + "Sam is a yumpus and Sam is a lorpus and Sam is not an impus.", + "Sam is not an impus.\n\n", + "Assume Sam is a brimpus.", + "Brimpuses are numpuses, impuses, and yumpuses.", + "Sam is a numpus, an impus, and a yumpus.", + "Sam is an impus.", + "This contradicts with Sam is not an impus.", + "Sam is not a brimpus.\n\n" + ] + }, + "test_example": { + "question": "Max is a vumpus. Everything that is a vumpus, a grimpus, and a gorpus is a wumpus and a shumpus and a rompus. Max is a tumpus. Wumpuses are zumpuses. Max is a dumpus. Everything that is a vumpus and a grimpus and a gorpus is an impus. Everything that is a dumpus, a vumpus, and a tumpus is an impus. Rompuses are jompuses. Max is a vumpus. Max is a tumpus. Max is a grimpus. Max is a gorpus.", + "query": "Prove: Max is a shumpus.", + "chain_of_thought": [ + "Max is a gorpus.", + "Max is a grimpus.", + "Max is a vumpus.", + "Max is a vumpus and a grimpus and a gorpus.", + "Everything that is a vumpus, a grimpus, and a gorpus is a wumpus and a shumpus and a rompus.", + "Max is a wumpus, a shumpus, and a rompus.", + "Max is a shumpus." + ] + } + }, + "example78": { + "in_context_example0": { + "question": "Every grimpus is a numpus. Zumpuses are not wumpuses. Lorpuses are yumpuses. Zumpuses are brimpuses. Every impus is a wumpus. Each vumpus is a wumpus, a tumpus, and a grimpus. Each gorpus is a rompus. Vumpuses are rompuses. Each tumpus is a brimpus. Alex is an impus. Alex is a dumpus, an impus, and a numpus. Alex is a lorpus, a zumpus, and a gorpus.", + "query": "Prove: Alex is not a vumpus.", + "chain_of_thought": [ + "Alex is a lorpus, a zumpus, and a gorpus.", + "Alex is a zumpus.", + "Zumpuses are not wumpuses.", + "Alex is not a wumpus.\n\n", + "Assume Alex is a vumpus.", + "Each vumpus is a wumpus, a tumpus, and a grimpus.", + "Alex is a wumpus, a tumpus, and a grimpus.", + "Alex is a wumpus.", + "This contradicts with Alex is not a wumpus.", + "Alex is not a vumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Each gorpus is a yumpus. Every vumpus is a shumpus. Every vumpus is a sterpus, a dumpus, and a gorpus. Everything that is a dumpus, a numpus, or a tumpus is a yumpus. Every sterpus is a brimpus. Sam is a tumpus. Sam is a vumpus.", + "query": "Prove: Sam is a rompus, a lempus, or a dumpus.", + "chain_of_thought": [ + "Sam is a vumpus.", + "Every vumpus is a sterpus, a dumpus, and a gorpus.", + "Sam is a sterpus and a dumpus and a gorpus.", + "Sam is a dumpus.", + "Sam is a rompus or a lempus or a dumpus." + ] + }, + "in_context_example2": { + "question": "Every wumpus is a grimpus. Each lempus is a yumpus. Every lempus is a wumpus and a lorpus and a brimpus. Everything that is a lorpus or a dumpus or an impus is a grimpus. Brimpuses are gorpuses. Sam is a zumpus. Sam is a lempus.", + "query": "Prove: Sam is a lorpus, a sterpus, or a jompus.", + "chain_of_thought": [ + "Sam is a lempus.", + "Every lempus is a wumpus and a lorpus and a brimpus.", + "Sam is a wumpus and a lorpus and a brimpus.", + "Sam is a lorpus.", + "Sam is a lorpus, a sterpus, or a jompus." + ] + }, + "in_context_example3": { + "question": "Everything that is a yumpus, a wumpus, or a brimpus is a shumpus. Everything that is a yumpus or a wumpus or a brimpus is a jompus and a rompus and a gorpus. Each jompus is an impus. Each rompus is a shumpus. Everything that is a wumpus, an impus, or a shumpus is a lempus. Sam is a tumpus. Sam is a wumpus.", + "query": "Prove: Sam is a gorpus.", + "chain_of_thought": [ + "Sam is a wumpus.", + "Sam is a yumpus or a wumpus or a brimpus.", + "Everything that is a yumpus or a wumpus or a brimpus is a jompus and a rompus and a gorpus.", + "Sam is a jompus and a rompus and a gorpus.", + "Sam is a gorpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a rompus and a vumpus and a jompus is a sterpus. Everything that is a rompus and a vumpus and a jompus is a zumpus. Everything that is a grimpus, a zumpus, or a sterpus is a yumpus. Sally is a lempus. Everything that is a lempus, a rompus, and a shumpus is a dumpus. Sally is a rompus. Sally is a shumpus. Sally is a dumpus. Sally is a rompus. Sally is a vumpus. Sally is a jompus.", + "query": "Prove: Sally is a zumpus or an impus or a wumpus.", + "chain_of_thought": [ + "Sally is a jompus.", + "Sally is a vumpus.", + "Sally is a rompus.", + "Sally is a rompus, a vumpus, and a jompus.", + "Everything that is a rompus and a vumpus and a jompus is a zumpus.", + "Sally is a zumpus.", + "Sally is a zumpus, an impus, or a wumpus." + ] + }, + "in_context_example5": { + "question": "Each grimpus is a brimpus. Each sterpus is a yumpus. Each shumpus is a vumpus. Every dumpus is a lempus. Each rompus is a tumpus. Wren is a numpus. Each numpus is a gorpus. Shumpuses are grimpuses, gorpuses, and dumpuses. Wren is a numpus and a tumpus and a yumpus. Wren is a rompus, Wren is a sterpus, and Wren is not a gorpus.", + "query": "Prove: Wren is not a shumpus.", + "chain_of_thought": [ + "Wren is a rompus, Wren is a sterpus, and Wren is not a gorpus.", + "Wren is not a gorpus.\n\n", + "Assume Wren is a shumpus.", + "Shumpuses are grimpuses, gorpuses, and dumpuses.", + "Wren is a grimpus, a gorpus, and a dumpus.", + "Wren is a gorpus.", + "This contradicts with Wren is not a gorpus.", + "Wren is not a shumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Each tumpus is a gorpus. Lorpuses are numpuses. Everything that is a shumpus or a zumpus or a grimpus is an impus. Every brimpus is a wumpus. Each brimpus is a lorpus and a tumpus and a zumpus. Polly is a wumpus. Polly is a brimpus.", + "query": "Prove: Polly is a lorpus, a zumpus, or a rompus.", + "chain_of_thought": [ + "Polly is a brimpus.", + "Each brimpus is a lorpus and a tumpus and a zumpus.", + "Polly is a lorpus and a tumpus and a zumpus.", + "Polly is a zumpus.", + "Polly is a lorpus or a zumpus or a rompus." + ] + }, + "in_context_example7": { + "question": "Everything that is a vumpus, a wumpus, and a lempus is a brimpus. Max is a vumpus. Everything that is a wumpus, a yumpus, and a gorpus is an impus, a zumpus, and a rompus. Everything that is a wumpus and a yumpus and a gorpus is a jompus. Max is a wumpus. Every impus is a shumpus. Max is a lempus. Each zumpus is a tumpus. Max is a wumpus. Max is a yumpus. Max is a tumpus. Max is a gorpus.", + "query": "Prove: Max is a rompus.", + "chain_of_thought": [ + "Max is a gorpus.", + "Max is a yumpus.", + "Max is a wumpus.", + "Max is a wumpus, a yumpus, and a gorpus.", + "Everything that is a wumpus, a yumpus, and a gorpus is an impus, a zumpus, and a rompus.", + "Max is an impus, a zumpus, and a rompus.", + "Max is a rompus." + ] + }, + "test_example": { + "question": "Everything that is a lempus or a gorpus or a brimpus is a lorpus. Grimpuses are vumpuses. Polly is an impus. Everything that is a lempus, a gorpus, or a brimpus is a numpus. Every impus is a numpus. Everything that is a tumpus, a gorpus, or an impus is a lorpus. Every jompus is a tumpus. Polly is a tumpus, a shumpus, and a vumpus. Polly is a jompus and Polly is a grimpus and Polly is not a numpus.", + "query": "Prove: Polly is not a gorpus.", + "chain_of_thought": [ + "Polly is a jompus, Polly is a grimpus, and Polly is not a numpus.", + "Polly is not a numpus.\n\n", + "Assume Polly is a gorpus.", + "Polly is a lempus or a gorpus or a brimpus.", + "Everything that is a lempus, a gorpus, or a brimpus is a numpus.", + "Polly is a numpus.", + "This contradicts with Polly is not a numpus.", + "Polly is not a gorpus.\n\n" + ] + } + }, + "example79": { + "in_context_example0": { + "question": "Numpuses are yumpuses and brimpuses and lorpuses. Everything that is a shumpus or a lorpus or a grimpus is a zumpus. Yumpuses are impuses. Numpuses are tumpuses. Brimpuses are gorpuses. Polly is a wumpus. Polly is a numpus.", + "query": "Prove: Polly is a dumpus or a lorpus or a lempus.", + "chain_of_thought": [ + "Polly is a numpus.", + "Numpuses are yumpuses and brimpuses and lorpuses.", + "Polly is a yumpus, a brimpus, and a lorpus.", + "Polly is a lorpus.", + "Polly is a dumpus, a lorpus, or a lempus." + ] + }, + "in_context_example1": { + "question": "Stella is a gorpus. Everything that is a gorpus and a jompus and a numpus is a yumpus. Stella is a lempus. Stella is a rompus. Everything that is a dumpus, a vumpus, or a grimpus is an impus. Everything that is a gorpus, a jompus, and a numpus is a dumpus. Everything that is a lempus, a gorpus, and a rompus is a lorpus. Stella is a gorpus. Stella is a lempus. Stella is a jompus. Stella is a numpus.", + "query": "Prove: Stella is a shumpus or a dumpus or a brimpus.", + "chain_of_thought": [ + "Stella is a numpus.", + "Stella is a jompus.", + "Stella is a gorpus.", + "Stella is a gorpus, a jompus, and a numpus.", + "Everything that is a gorpus, a jompus, and a numpus is a dumpus.", + "Stella is a dumpus.", + "Stella is a shumpus, a dumpus, or a brimpus." + ] + }, + "in_context_example2": { + "question": "Jompuses are zumpuses. Lorpuses are numpuses. Every grimpus is a lempus. Jompuses are yumpuses, lorpuses, and grimpuses. Everything that is a numpus or a yumpus or a brimpus is a gorpus. Wren is a gorpus. Wren is a jompus.", + "query": "Prove: Wren is an impus or a yumpus or a lorpus.", + "chain_of_thought": [ + "Wren is a jompus.", + "Jompuses are yumpuses, lorpuses, and grimpuses.", + "Wren is a yumpus and a lorpus and a grimpus.", + "Wren is a yumpus.", + "Wren is an impus or a yumpus or a lorpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a dumpus, a numpus, or a gorpus is a rompus, a brimpus, and a vumpus. Everything that is a dumpus, a lorpus, or a jompus is a grimpus. Everything that is a dumpus or a numpus or a gorpus is a lorpus. Every vumpus is a sterpus. Brimpuses are lempuses. Sam is a jompus. Sam is a dumpus.", + "query": "Prove: Sam is a rompus.", + "chain_of_thought": [ + "Sam is a dumpus.", + "Sam is a dumpus, a numpus, or a gorpus.", + "Everything that is a dumpus, a numpus, or a gorpus is a rompus, a brimpus, and a vumpus.", + "Sam is a rompus, a brimpus, and a vumpus.", + "Sam is a rompus." + ] + }, + "in_context_example4": { + "question": "Everything that is a rompus or a yumpus or a zumpus is a lorpus. Lempuses are shumpuses. Every jompus is a vumpus. Everything that is an impus or a numpus or a rompus is a lempus, a grimpus, and a jompus. Everything that is an impus, a numpus, or a rompus is a shumpus. Stella is a lorpus. Stella is a rompus.", + "query": "Prove: Stella is a grimpus.", + "chain_of_thought": [ + "Stella is a rompus.", + "Stella is an impus, a numpus, or a rompus.", + "Everything that is an impus or a numpus or a rompus is a lempus, a grimpus, and a jompus.", + "Stella is a lempus, a grimpus, and a jompus.", + "Stella is a grimpus." + ] + }, + "in_context_example5": { + "question": "Every impus is not a wumpus. Each rompus is an impus. Impuses are sterpuses. Gorpuses are grimpuses. Yumpuses are numpuses. Every dumpus is a wumpus. Rex is a dumpus. Yumpuses are lorpuses and gorpuses and wumpuses. Every rompus is a dumpus. Lorpuses are brimpuses. Rex is a numpus. Rex is a rompus.", + "query": "Prove: Rex is not a yumpus.", + "chain_of_thought": [ + "Rex is a rompus.", + "Each rompus is an impus.", + "Rex is an impus.", + "Every impus is not a wumpus.", + "Rex is not a wumpus.\n\n", + "Assume Rex is a yumpus.", + "Yumpuses are lorpuses and gorpuses and wumpuses.", + "Rex is a lorpus, a gorpus, and a wumpus.", + "Rex is a wumpus.", + "This contradicts with Rex is not a wumpus.", + "Rex is not a yumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Every brimpus is a yumpus and a shumpus and a vumpus. Yumpuses are impuses. Gorpuses are lorpuses. Brimpuses are lorpuses. Each shumpus is a sterpus. Fae is a zumpus. Shumpuses are grimpuses. Zumpuses are vumpuses. Fae is a sterpus, a tumpus, and a numpus. Fae is not a vumpus and Fae is a shumpus and Fae is a gorpus.", + "query": "Prove: Fae is not a brimpus.", + "chain_of_thought": [ + "Fae is not a vumpus, Fae is a shumpus, and Fae is a gorpus.", + "Fae is not a vumpus.\n\n", + "Assume Fae is a brimpus.", + "Every brimpus is a yumpus and a shumpus and a vumpus.", + "Fae is a yumpus and a shumpus and a vumpus.", + "Fae is a vumpus.", + "This contradicts with Fae is not a vumpus.", + "Fae is not a brimpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Zumpuses are impuses. Everything that is a brimpus or a dumpus or a rompus is a shumpus. Everything that is a brimpus or a dumpus or a rompus is a grimpus. Everything that is a brimpus or a lempus or a grimpus is a numpus. Vumpuses are jompuses. Wren is a grimpus, an impus, and a tumpus. Wren is a brimpus and a zumpus and a vumpus.", + "query": "Prove: Wren is a shumpus.", + "chain_of_thought": [ + "Wren is a brimpus, a zumpus, and a vumpus.", + "Wren is a brimpus.", + "Wren is a brimpus or a dumpus or a rompus.", + "Everything that is a brimpus or a dumpus or a rompus is a shumpus.", + "Wren is a shumpus." + ] + }, + "test_example": { + "question": "Shumpuses are rompuses. Each numpus is a jompus. Each shumpus is a sterpus. Every lorpus is a sterpus. Grimpuses are lempuses. Every wumpus is a lempus. Grimpuses are shumpuses. Sally is a lorpus. Sally is a yumpus and a lempus and an impus. Sally is a numpus, Sally is not a sterpus, and Sally is a wumpus.", + "query": "Prove: Sally is not a grimpus.", + "chain_of_thought": [ + "Sally is a numpus, Sally is not a sterpus, and Sally is a wumpus.", + "Sally is not a sterpus.\n\n", + "Assume Sally is a grimpus.", + "Grimpuses are shumpuses.", + "Sally is a shumpus.", + "Each shumpus is a sterpus.", + "Sally is a sterpus.", + "This contradicts with Sally is not a sterpus.", + "Sally is not a grimpus.\n\n" + ] + } + }, + "example80": { + "in_context_example0": { + "question": "Sterpuses are zumpuses. Everything that is a zumpus or an impus or a numpus is a dumpus. Each tumpus is a gorpus. Sterpuses are impuses, tumpuses, and wumpuses. Every wumpus is a rompus. Fae is a dumpus. Fae is a sterpus.", + "query": "Prove: Fae is a tumpus, an impus, or a yumpus.", + "chain_of_thought": [ + "Fae is a sterpus.", + "Sterpuses are impuses, tumpuses, and wumpuses.", + "Fae is an impus and a tumpus and a wumpus.", + "Fae is an impus.", + "Fae is a tumpus, an impus, or a yumpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a shumpus, a sterpus, or a grimpus is a zumpus. Everything that is a gorpus, an impus, or a sterpus is a lorpus. Every lempus is a zumpus. Each tumpus is a vumpus. Yumpuses are brimpuses. Everything that is a gorpus, an impus, or a sterpus is a brimpus. Max is a yumpus. Max is a wumpus, a grimpus, and a yumpus. Max is a lempus, Max is a tumpus, and Max is not a brimpus.", + "query": "Prove: Max is not a sterpus.", + "chain_of_thought": [ + "Max is a lempus and Max is a tumpus and Max is not a brimpus.", + "Max is not a brimpus.\n\n", + "Assume Max is a sterpus.", + "Max is a gorpus, an impus, or a sterpus.", + "Everything that is a gorpus, an impus, or a sterpus is a brimpus.", + "Max is a brimpus.", + "This contradicts with Max is not a brimpus.", + "Max is not a sterpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Zumpuses are jompuses. Every shumpus is a sterpus. Lempuses are wumpuses. Every zumpus is a vumpus, a lempus, and a shumpus. Everything that is a tumpus, a vumpus, or a brimpus is a wumpus. Sally is a rompus. Sally is a zumpus.", + "query": "Prove: Sally is a vumpus or a lorpus or a numpus.", + "chain_of_thought": [ + "Sally is a zumpus.", + "Every zumpus is a vumpus, a lempus, and a shumpus.", + "Sally is a vumpus and a lempus and a shumpus.", + "Sally is a vumpus.", + "Sally is a vumpus or a lorpus or a numpus." + ] + }, + "in_context_example3": { + "question": "Every lempus is an impus. Each numpus is a rompus. Lempuses are vumpuses, zumpuses, and sterpuses. Sterpuses are dumpuses. Shumpuses are zumpuses. Polly is a shumpus. Numpuses are not zumpuses. Each vumpus is a lorpus. Wumpuses are brimpuses. Each wumpus is a numpus. Polly is a jompus. Polly is a wumpus.", + "query": "Prove: Polly is not a lempus.", + "chain_of_thought": [ + "Polly is a wumpus.", + "Each wumpus is a numpus.", + "Polly is a numpus.", + "Numpuses are not zumpuses.", + "Polly is not a zumpus.\n\n", + "Assume Polly is a lempus.", + "Lempuses are vumpuses, zumpuses, and sterpuses.", + "Polly is a vumpus and a zumpus and a sterpus.", + "Polly is a zumpus.", + "This contradicts with Polly is not a zumpus.", + "Polly is not a lempus.\n\n" + ] + }, + "in_context_example4": { + "question": "Everything that is a dumpus, a sterpus, and a numpus is a gorpus. Dumpuses are shumpuses. Everything that is a dumpus, a sterpus, and a numpus is a rompus. Polly is a dumpus. Each impus is a zumpus. Each vumpus is a gorpus. Everything that is a dumpus and a grimpus and a lempus is a jompus. Polly is a lempus. Polly is a grimpus. Polly is a vumpus. Polly is not a gorpus, Polly is an impus, and Polly is a dumpus. Polly is a lempus, a jompus, and a lorpus. Polly is a dumpus. Polly is a numpus.", + "query": "Prove: Polly is not a sterpus.", + "chain_of_thought": [ + "Polly is not a gorpus and Polly is an impus and Polly is a dumpus.", + "Polly is not a gorpus.", + "Polly is a numpus.\n\n", + "Assume Polly is a sterpus.", + "Polly is a dumpus.", + "Polly is a dumpus, a sterpus, and a numpus.", + "Everything that is a dumpus, a sterpus, and a numpus is a gorpus.", + "Polly is a gorpus.", + "This contradicts with Polly is not a gorpus.", + "Polly is not a sterpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Each lempus is a shumpus. Every grimpus is a brimpus. Sterpuses are numpuses. Lorpuses are dumpuses. Every vumpus is a wumpus. Polly is a yumpus. Each lorpus is a vumpus and a grimpus and a tumpus. Yumpuses are tumpuses. Polly is a yumpus, a shumpus, and a zumpus. Polly is a sterpus and Polly is a lempus and Polly is not a tumpus.", + "query": "Prove: Polly is not a lorpus.", + "chain_of_thought": [ + "Polly is a sterpus, Polly is a lempus, and Polly is not a tumpus.", + "Polly is not a tumpus.\n\n", + "Assume Polly is a lorpus.", + "Each lorpus is a vumpus and a grimpus and a tumpus.", + "Polly is a vumpus, a grimpus, and a tumpus.", + "Polly is a tumpus.", + "This contradicts with Polly is not a tumpus.", + "Polly is not a lorpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Sally is a grimpus. Everything that is a shumpus, a jompus, and a wumpus is a vumpus. Everything that is a shumpus, a jompus, and a wumpus is a grimpus. Dumpuses are vumpuses. Sally is a dumpus. Everything that is a lorpus, a shumpus, and a grimpus is a brimpus. Each zumpus is a tumpus. Sally is a lorpus. Sally is a shumpus. Each numpus is a grimpus. Sally is a zumpus, Sally is a numpus, and Sally is not a vumpus. Sally is a jompus. Sally is a sterpus and a grimpus and a gorpus. Sally is a wumpus.", + "query": "Prove: Sally is not a shumpus.", + "chain_of_thought": [ + "Sally is a zumpus, Sally is a numpus, and Sally is not a vumpus.", + "Sally is not a vumpus.", + "Sally is a wumpus.", + "Sally is a jompus.\n\n", + "Assume Sally is a shumpus.", + "Sally is a shumpus, a jompus, and a wumpus.", + "Everything that is a shumpus, a jompus, and a wumpus is a vumpus.", + "Sally is a vumpus.", + "This contradicts with Sally is not a vumpus.", + "Sally is not a shumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Dumpuses are vumpuses. Each numpus is a lorpus. Wren is a sterpus. Each gorpus is a shumpus. Sterpuses are wumpuses. Lempuses are lorpuses. Numpuses are vumpuses. Every dumpus is a gorpus, a wumpus, and a numpus. Wren is a vumpus, a rompus, and a yumpus. Wren is a lempus, Wren is a numpus, and Wren is not a wumpus.", + "query": "Prove: Wren is not a dumpus.", + "chain_of_thought": [ + "Wren is a lempus, Wren is a numpus, and Wren is not a wumpus.", + "Wren is not a wumpus.\n\n", + "Assume Wren is a dumpus.", + "Every dumpus is a gorpus, a wumpus, and a numpus.", + "Wren is a gorpus and a wumpus and a numpus.", + "Wren is a wumpus.", + "This contradicts with Wren is not a wumpus.", + "Wren is not a dumpus.\n\n" + ] + }, + "test_example": { + "question": "Every lempus is a brimpus. Wumpuses are lempuses and dumpuses and jompuses. Each dumpus is a numpus. Everything that is a rompus or a jompus or a lorpus is a yumpus. Wumpuses are sterpuses. Max is a yumpus. Max is a wumpus.", + "query": "Prove: Max is a jompus, a vumpus, or a gorpus.", + "chain_of_thought": [ + "Max is a wumpus.", + "Wumpuses are lempuses and dumpuses and jompuses.", + "Max is a lempus, a dumpus, and a jompus.", + "Max is a jompus.", + "Max is a jompus, a vumpus, or a gorpus." + ] + } + }, + "example81": { + "in_context_example0": { + "question": "Each gorpus is a shumpus. Every lorpus is a vumpus. Zumpuses are yumpuses. Polly is a lorpus. Brimpuses are rompuses. Grimpuses are rompuses. Zumpuses are vumpuses, grimpuses, and gorpuses. Lempuses are lorpuses. Polly is an impus and a tumpus and a rompus. Polly is a lempus, Polly is a brimpus, and Polly is not a vumpus.", + "query": "Prove: Polly is not a zumpus.", + "chain_of_thought": [ + "Polly is a lempus and Polly is a brimpus and Polly is not a vumpus.", + "Polly is not a vumpus.\n\n", + "Assume Polly is a zumpus.", + "Zumpuses are vumpuses, grimpuses, and gorpuses.", + "Polly is a vumpus, a grimpus, and a gorpus.", + "Polly is a vumpus.", + "This contradicts with Polly is not a vumpus.", + "Polly is not a zumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Everything that is a vumpus, a yumpus, and a numpus is a zumpus, a dumpus, and a jompus. Fae is a vumpus. Everything that is a tumpus, a vumpus, and a gorpus is a rompus. Fae is a gorpus. Dumpuses are sterpuses. Every zumpus is a shumpus. Fae is a tumpus. Everything that is a vumpus, a yumpus, and a numpus is a rompus. Fae is a vumpus. Fae is a shumpus. Fae is a yumpus. Fae is a numpus.", + "query": "Prove: Fae is a jompus.", + "chain_of_thought": [ + "Fae is a numpus.", + "Fae is a yumpus.", + "Fae is a vumpus.", + "Fae is a vumpus and a yumpus and a numpus.", + "Everything that is a vumpus, a yumpus, and a numpus is a zumpus, a dumpus, and a jompus.", + "Fae is a zumpus and a dumpus and a jompus.", + "Fae is a jompus." + ] + }, + "in_context_example2": { + "question": "Dumpuses are numpuses. Stella is a jompus. Stella is a sterpus. Stella is a gorpus. Everything that is a dumpus, an impus, and a lempus is not a grimpus. Shumpuses are wumpuses. Stella is a dumpus. Sterpuses are grimpuses. Everything that is a dumpus, an impus, and a lempus is a yumpus. Everything that is a jompus and a dumpus and a gorpus is a numpus. Zumpuses are dumpuses, grimpuses, and shumpuses. Each zumpus is a gorpus. Stella is a dumpus. Stella is a sterpus. Stella is an impus. Stella is a lempus.", + "query": "Prove: Stella is not a zumpus.", + "chain_of_thought": [ + "Stella is a lempus.", + "Stella is an impus.", + "Stella is a dumpus.", + "Stella is a dumpus and an impus and a lempus.", + "Everything that is a dumpus, an impus, and a lempus is not a grimpus.", + "Stella is not a grimpus.\n\n", + "Assume Stella is a zumpus.", + "Zumpuses are dumpuses, grimpuses, and shumpuses.", + "Stella is a dumpus, a grimpus, and a shumpus.", + "Stella is a grimpus.", + "This contradicts with Stella is not a grimpus.", + "Stella is not a zumpus.\n\n" + ] + }, + "in_context_example3": { + "question": "Everything that is a wumpus or a brimpus or a gorpus is a yumpus and a grimpus and a tumpus. Each grimpus is a zumpus. Everything that is a gorpus or a numpus or a zumpus is a lempus. Yumpuses are rompuses. Everything that is a wumpus, a brimpus, or a gorpus is a shumpus. Wren is a numpus. Wren is a gorpus.", + "query": "Prove: Wren is a tumpus.", + "chain_of_thought": [ + "Wren is a gorpus.", + "Wren is a wumpus, a brimpus, or a gorpus.", + "Everything that is a wumpus or a brimpus or a gorpus is a yumpus and a grimpus and a tumpus.", + "Wren is a yumpus, a grimpus, and a tumpus.", + "Wren is a tumpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a sterpus, a lorpus, or a zumpus is a lempus. Sam is a lempus. Every lempus is a dumpus. Tumpuses are zumpuses. Every vumpus is a tumpus. Everything that is a brimpus, a rompus, or a sterpus is a dumpus. Every tumpus is not a dumpus. Vumpuses are impuses. Everything that is a brimpus or a rompus or a sterpus is a lempus. Sam is a wumpus. Sam is a vumpus.", + "query": "Prove: Sam is not a sterpus.", + "chain_of_thought": [ + "Sam is a vumpus.", + "Every vumpus is a tumpus.", + "Sam is a tumpus.", + "Every tumpus is not a dumpus.", + "Sam is not a dumpus.\n\n", + "Assume Sam is a sterpus.", + "Sam is a brimpus or a rompus or a sterpus.", + "Everything that is a brimpus, a rompus, or a sterpus is a dumpus.", + "Sam is a dumpus.", + "This contradicts with Sam is not a dumpus.", + "Sam is not a sterpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Everything that is an impus, a gorpus, and a lempus is a tumpus. Everything that is a gorpus and a brimpus and a vumpus is a yumpus. Shumpuses are yumpuses. Fae is a gorpus. Everything that is a gorpus and a brimpus and a vumpus is a dumpus, a jompus, and a shumpus. Fae is a lempus. Fae is an impus. Dumpuses are wumpuses. Fae is a yumpus. Fae is a gorpus. Fae is a brimpus. Fae is a vumpus.", + "query": "Prove: Fae is a jompus.", + "chain_of_thought": [ + "Fae is a vumpus.", + "Fae is a brimpus.", + "Fae is a gorpus.", + "Fae is a gorpus, a brimpus, and a vumpus.", + "Everything that is a gorpus and a brimpus and a vumpus is a dumpus, a jompus, and a shumpus.", + "Fae is a dumpus and a jompus and a shumpus.", + "Fae is a jompus." + ] + }, + "in_context_example6": { + "question": "Everything that is a dumpus, an impus, or a jompus is a numpus. Yumpuses are tumpuses. Every grimpus is a zumpus. Each rompus is a brimpus. Every grimpus is an impus and a yumpus and a rompus. Sam is a numpus. Sam is a grimpus.", + "query": "Prove: Sam is an impus or a vumpus or a sterpus.", + "chain_of_thought": [ + "Sam is a grimpus.", + "Every grimpus is an impus and a yumpus and a rompus.", + "Sam is an impus, a yumpus, and a rompus.", + "Sam is an impus.", + "Sam is an impus, a vumpus, or a sterpus." + ] + }, + "in_context_example7": { + "question": "Everything that is an impus and a shumpus and a wumpus is a yumpus. Everything that is a brimpus or a tumpus or a vumpus is a wumpus. Wren is a wumpus. Wren is an impus. Everything that is a shumpus and a lorpus and a jompus is a brimpus. Everything that is a shumpus and a lorpus and a jompus is an impus. Wren is a shumpus. Wren is a shumpus. Wren is a lorpus. Wren is a vumpus. Wren is a jompus.", + "query": "Prove: Wren is a sterpus or a brimpus or a gorpus.", + "chain_of_thought": [ + "Wren is a jompus.", + "Wren is a lorpus.", + "Wren is a shumpus.", + "Wren is a shumpus and a lorpus and a jompus.", + "Everything that is a shumpus and a lorpus and a jompus is a brimpus.", + "Wren is a brimpus.", + "Wren is a sterpus or a brimpus or a gorpus." + ] + }, + "test_example": { + "question": "Max is a vumpus. Everything that is a gorpus and a lempus and a zumpus is a jompus. Max is a jompus. Everything that is a jompus, a gorpus, and a vumpus is a brimpus. Every yumpus is a dumpus. Max is a gorpus. Everything that is a gorpus and a lempus and a zumpus is a wumpus, a rompus, and a yumpus. Rompuses are shumpuses. Max is a gorpus. Max is a lempus. Max is a lorpus. Max is a zumpus.", + "query": "Prove: Max is a wumpus.", + "chain_of_thought": [ + "Max is a zumpus.", + "Max is a lempus.", + "Max is a gorpus.", + "Max is a gorpus, a lempus, and a zumpus.", + "Everything that is a gorpus and a lempus and a zumpus is a wumpus, a rompus, and a yumpus.", + "Max is a wumpus and a rompus and a yumpus.", + "Max is a wumpus." + ] + } + }, + "example82": { + "in_context_example0": { + "question": "Everything that is a shumpus, a yumpus, or a lempus is a sterpus. Each zumpus is a sterpus. Everything that is a shumpus, a yumpus, or a lempus is a lorpus and a zumpus and a grimpus. Everything that is a dumpus, a lempus, or a jompus is a wumpus. Grimpuses are rompuses. Stella is a rompus. Stella is a lempus.", + "query": "Prove: Stella is a lorpus.", + "chain_of_thought": [ + "Stella is a lempus.", + "Stella is a shumpus or a yumpus or a lempus.", + "Everything that is a shumpus, a yumpus, or a lempus is a lorpus and a zumpus and a grimpus.", + "Stella is a lorpus, a zumpus, and a grimpus.", + "Stella is a lorpus." + ] + }, + "in_context_example1": { + "question": "Yumpuses are gorpuses. Everything that is a sterpus, a grimpus, or a lempus is a shumpus. Everything that is a sterpus, a tumpus, or a yumpus is a numpus. Everything that is a sterpus, a grimpus, or a lempus is a gorpus. Rex is a yumpus. Impuses are jompuses. Every vumpus is a brimpus. Rex is a yumpus and a brimpus and a jompus. Rex is an impus and Rex is not a gorpus and Rex is a vumpus.", + "query": "Prove: Rex is not a sterpus.", + "chain_of_thought": [ + "Rex is an impus and Rex is not a gorpus and Rex is a vumpus.", + "Rex is not a gorpus.\n\n", + "Assume Rex is a sterpus.", + "Rex is a sterpus or a grimpus or a lempus.", + "Everything that is a sterpus, a grimpus, or a lempus is a gorpus.", + "Rex is a gorpus.", + "This contradicts with Rex is not a gorpus.", + "Rex is not a sterpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a lorpus, a vumpus, or an impus is a lempus. Every jompus is a vumpus, a grimpus, and a rompus. Each grimpus is a wumpus. Each rompus is a sterpus. Jompuses are zumpuses. Stella is a yumpus. Stella is a jompus.", + "query": "Prove: Stella is a vumpus or a tumpus or a numpus.", + "chain_of_thought": [ + "Stella is a jompus.", + "Every jompus is a vumpus, a grimpus, and a rompus.", + "Stella is a vumpus and a grimpus and a rompus.", + "Stella is a vumpus.", + "Stella is a vumpus, a tumpus, or a numpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a sterpus or a lempus or a grimpus is a rompus, a zumpus, and a shumpus. Each rompus is an impus. Everything that is a sterpus, a lempus, or a grimpus is an impus. Shumpuses are tumpuses. Everything that is a lempus or a vumpus or a brimpus is a jompus. Max is a lorpus. Max is a lempus.", + "query": "Prove: Max is a zumpus.", + "chain_of_thought": [ + "Max is a lempus.", + "Max is a sterpus or a lempus or a grimpus.", + "Everything that is a sterpus or a lempus or a grimpus is a rompus, a zumpus, and a shumpus.", + "Max is a rompus and a zumpus and a shumpus.", + "Max is a zumpus." + ] + }, + "in_context_example4": { + "question": "Lempuses are dumpuses. Wumpuses are grimpuses. Lempuses are vumpuses, lorpuses, and wumpuses. Everything that is a shumpus or a lorpus or an impus is a tumpus. Vumpuses are dumpuses. Rex is a dumpus. Rex is a lempus.", + "query": "Prove: Rex is a zumpus or a wumpus or a lorpus.", + "chain_of_thought": [ + "Rex is a lempus.", + "Lempuses are vumpuses, lorpuses, and wumpuses.", + "Rex is a vumpus and a lorpus and a wumpus.", + "Rex is a lorpus.", + "Rex is a zumpus, a wumpus, or a lorpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a tumpus, a gorpus, or a lempus is a numpus. Everything that is a tumpus or a gorpus or a lempus is a jompus. Rompuses are dumpuses. Grimpuses are lorpuses. Everything that is an impus, a tumpus, or a dumpus is a sterpus. Sally is a lorpus and a sterpus and a brimpus. Sally is a grimpus, a rompus, and a tumpus.", + "query": "Prove: Sally is a numpus.", + "chain_of_thought": [ + "Sally is a grimpus and a rompus and a tumpus.", + "Sally is a tumpus.", + "Sally is a tumpus or a gorpus or a lempus.", + "Everything that is a tumpus, a gorpus, or a lempus is a numpus.", + "Sally is a numpus." + ] + }, + "in_context_example6": { + "question": "Every wumpus is a tumpus. Each impus is a vumpus. Gorpuses are lempuses. Each yumpus is a numpus. Shumpuses are jompuses. Each yumpus is a wumpus and a rompus and an impus. Each vumpus is a rompus. Wren is a vumpus. Wren is a lempus, a sterpus, and a vumpus. Wren is a gorpus and Wren is a shumpus and Wren is not a rompus.", + "query": "Prove: Wren is not a yumpus.", + "chain_of_thought": [ + "Wren is a gorpus, Wren is a shumpus, and Wren is not a rompus.", + "Wren is not a rompus.\n\n", + "Assume Wren is a yumpus.", + "Each yumpus is a wumpus and a rompus and an impus.", + "Wren is a wumpus, a rompus, and an impus.", + "Wren is a rompus.", + "This contradicts with Wren is not a rompus.", + "Wren is not a yumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Everything that is an impus, a yumpus, or a sterpus is a grimpus. Gorpuses are lempuses. Dumpuses are rompuses. Brimpuses are grimpuses. Gorpuses are yumpuses. Sam is a jompus, a zumpus, and a sterpus. Sam is a gorpus, a dumpus, and a brimpus.", + "query": "Prove: Sam is a wumpus, a yumpus, or a shumpus.", + "chain_of_thought": [ + "Sam is a gorpus and a dumpus and a brimpus.", + "Sam is a gorpus.", + "Gorpuses are yumpuses.", + "Sam is a yumpus.", + "Sam is a wumpus or a yumpus or a shumpus." + ] + }, + "test_example": { + "question": "Rompuses are lempuses. Everything that is a numpus, a grimpus, or a yumpus is a zumpus and a rompus and a lorpus. Each zumpus is an impus. Everything that is an impus or a grimpus or a lempus is a sterpus. Everything that is a numpus, a grimpus, or a yumpus is a wumpus. Wren is a lempus. Wren is a grimpus.", + "query": "Prove: Wren is a lorpus.", + "chain_of_thought": [ + "Wren is a grimpus.", + "Wren is a numpus or a grimpus or a yumpus.", + "Everything that is a numpus, a grimpus, or a yumpus is a zumpus and a rompus and a lorpus.", + "Wren is a zumpus, a rompus, and a lorpus.", + "Wren is a lorpus." + ] + } + }, + "example83": { + "in_context_example0": { + "question": "Everything that is a shumpus, a wumpus, or a lempus is an impus. Yumpuses are vumpuses. Everything that is a wumpus, a sterpus, or a zumpus is a dumpus, a yumpus, and a gorpus. Everything that is a wumpus, a sterpus, or a zumpus is an impus. Every gorpus is a brimpus. Wren is a rompus. Wren is a wumpus.", + "query": "Prove: Wren is a dumpus.", + "chain_of_thought": [ + "Wren is a wumpus.", + "Wren is a wumpus or a sterpus or a zumpus.", + "Everything that is a wumpus, a sterpus, or a zumpus is a dumpus, a yumpus, and a gorpus.", + "Wren is a dumpus, a yumpus, and a gorpus.", + "Wren is a dumpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a lempus, a zumpus, or a yumpus is a grimpus, a shumpus, and a lorpus. Everything that is a lempus or a zumpus or a yumpus is a tumpus. Grimpuses are tumpuses. Everything that is a yumpus, a vumpus, or a brimpus is a numpus. Shumpuses are rompuses. Sally is a gorpus. Sally is a yumpus.", + "query": "Prove: Sally is a lorpus.", + "chain_of_thought": [ + "Sally is a yumpus.", + "Sally is a lempus, a zumpus, or a yumpus.", + "Everything that is a lempus, a zumpus, or a yumpus is a grimpus, a shumpus, and a lorpus.", + "Sally is a grimpus and a shumpus and a lorpus.", + "Sally is a lorpus." + ] + }, + "in_context_example2": { + "question": "Every tumpus is a gorpus. Everything that is a numpus, a grimpus, and a lorpus is an impus, a tumpus, and a vumpus. Polly is a brimpus. Everything that is a numpus and a grimpus and a lorpus is a brimpus. Polly is a numpus. Everything that is a numpus, a lempus, and a brimpus is a shumpus. Vumpuses are dumpuses. Polly is a lempus. Polly is a numpus. Polly is a shumpus. Polly is a grimpus. Polly is a lorpus.", + "query": "Prove: Polly is an impus.", + "chain_of_thought": [ + "Polly is a lorpus.", + "Polly is a grimpus.", + "Polly is a numpus.", + "Polly is a numpus and a grimpus and a lorpus.", + "Everything that is a numpus, a grimpus, and a lorpus is an impus, a tumpus, and a vumpus.", + "Polly is an impus and a tumpus and a vumpus.", + "Polly is an impus." + ] + }, + "in_context_example3": { + "question": "Everything that is a wumpus, a brimpus, and a gorpus is a lempus, a vumpus, and a zumpus. Max is a dumpus. Every vumpus is a shumpus. Max is a wumpus. Max is a jompus. Every lempus is a dumpus. Everything that is a wumpus, a brimpus, and a gorpus is a jompus. Everything that is a jompus and a wumpus and a dumpus is a yumpus. Max is a wumpus. Max is a grimpus. Max is a brimpus. Max is a gorpus.", + "query": "Prove: Max is a zumpus.", + "chain_of_thought": [ + "Max is a gorpus.", + "Max is a brimpus.", + "Max is a wumpus.", + "Max is a wumpus, a brimpus, and a gorpus.", + "Everything that is a wumpus, a brimpus, and a gorpus is a lempus, a vumpus, and a zumpus.", + "Max is a lempus, a vumpus, and a zumpus.", + "Max is a zumpus." + ] + }, + "in_context_example4": { + "question": "Sterpuses are zumpuses. Rompuses are gorpuses. Rompuses are grimpuses and brimpuses and sterpuses. Everything that is a yumpus, a grimpus, or a numpus is a jompus. Brimpuses are shumpuses. Alex is a gorpus. Alex is a rompus.", + "query": "Prove: Alex is a wumpus or a lempus or a grimpus.", + "chain_of_thought": [ + "Alex is a rompus.", + "Rompuses are grimpuses and brimpuses and sterpuses.", + "Alex is a grimpus and a brimpus and a sterpus.", + "Alex is a grimpus.", + "Alex is a wumpus, a lempus, or a grimpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a sterpus or a zumpus or a gorpus is a shumpus. Every lorpus is a shumpus. Tumpuses are impuses. Everything that is a zumpus or a wumpus or a yumpus is a lorpus and a tumpus and a dumpus. Everything that is a zumpus, a wumpus, or a yumpus is a lempus. Stella is a vumpus. Stella is a zumpus.", + "query": "Prove: Stella is a dumpus.", + "chain_of_thought": [ + "Stella is a zumpus.", + "Stella is a zumpus or a wumpus or a yumpus.", + "Everything that is a zumpus or a wumpus or a yumpus is a lorpus and a tumpus and a dumpus.", + "Stella is a lorpus, a tumpus, and a dumpus.", + "Stella is a dumpus." + ] + }, + "in_context_example6": { + "question": "Fae is a vumpus. Fae is a sterpus. Fae is a gorpus. Everything that is a vumpus, a gorpus, and a sterpus is a yumpus. Every tumpus is a gorpus. Each numpus is a dumpus. Everything that is a vumpus, a wumpus, and a lorpus is a numpus, a tumpus, and an impus. Everything that is a vumpus, a wumpus, and a lorpus is a lempus. Fae is a vumpus. Fae is a wumpus. Fae is a dumpus. Fae is a lorpus.", + "query": "Prove: Fae is an impus.", + "chain_of_thought": [ + "Fae is a lorpus.", + "Fae is a wumpus.", + "Fae is a vumpus.", + "Fae is a vumpus, a wumpus, and a lorpus.", + "Everything that is a vumpus, a wumpus, and a lorpus is a numpus, a tumpus, and an impus.", + "Fae is a numpus, a tumpus, and an impus.", + "Fae is an impus." + ] + }, + "in_context_example7": { + "question": "Grimpuses are lorpuses. Rompuses are vumpuses. Rompuses are grimpuses. Wumpuses are brimpuses. Numpuses are impuses. Impuses are zumpuses. Grimpuses are zumpuses. Rex is an impus. Rex is a brimpus, a vumpus, and an impus. Rex is a wumpus and Rex is not a zumpus and Rex is a numpus.", + "query": "Prove: Rex is not a rompus.", + "chain_of_thought": [ + "Rex is a wumpus and Rex is not a zumpus and Rex is a numpus.", + "Rex is not a zumpus.\n\n", + "Assume Rex is a rompus.", + "Rompuses are grimpuses.", + "Rex is a grimpus.", + "Grimpuses are zumpuses.", + "Rex is a zumpus.", + "This contradicts with Rex is not a zumpus.", + "Rex is not a rompus.\n\n" + ] + }, + "test_example": { + "question": "Sterpuses are gorpuses and grimpuses and dumpuses. Sterpuses are brimpuses. Each shumpus is a zumpus. Wren is an impus. Each dumpus is a rompus. Impuses are gorpuses. Each tumpus is a numpus. Every tumpus is a shumpus. Each shumpus is not a gorpus. Grimpuses are brimpuses. Wren is a jompus. Wren is a tumpus.", + "query": "Prove: Wren is not a sterpus.", + "chain_of_thought": [ + "Wren is a tumpus.", + "Every tumpus is a shumpus.", + "Wren is a shumpus.", + "Each shumpus is not a gorpus.", + "Wren is not a gorpus.\n\n", + "Assume Wren is a sterpus.", + "Sterpuses are gorpuses and grimpuses and dumpuses.", + "Wren is a gorpus and a grimpus and a dumpus.", + "Wren is a gorpus.", + "This contradicts with Wren is not a gorpus.", + "Wren is not a sterpus.\n\n" + ] + } + }, + "example84": { + "in_context_example0": { + "question": "Each grimpus is a sterpus. Rex is a lorpus. Every yumpus is a dumpus. Rex is a dumpus. Everything that is a lorpus and a vumpus and a zumpus is a grimpus, a yumpus, and a brimpus. Everything that is a lorpus, a wumpus, and a dumpus is a rompus. Everything that is a lorpus and a vumpus and a zumpus is a dumpus. Rex is a wumpus. Rex is a lorpus. Rex is a vumpus. Rex is a gorpus. Rex is a zumpus.", + "query": "Prove: Rex is a brimpus.", + "chain_of_thought": [ + "Rex is a zumpus.", + "Rex is a vumpus.", + "Rex is a lorpus.", + "Rex is a lorpus, a vumpus, and a zumpus.", + "Everything that is a lorpus and a vumpus and a zumpus is a grimpus, a yumpus, and a brimpus.", + "Rex is a grimpus and a yumpus and a brimpus.", + "Rex is a brimpus." + ] + }, + "in_context_example1": { + "question": "Alex is a wumpus. Everything that is a brimpus, a zumpus, and a grimpus is a vumpus and a jompus and a dumpus. Alex is a rompus. Alex is a brimpus. Every jompus is a lempus. Vumpuses are sterpuses. Everything that is a brimpus, a zumpus, and a grimpus is a lempus. Everything that is a rompus, a brimpus, and a wumpus is a lorpus. Alex is a gorpus. Alex is a brimpus. Alex is a zumpus. Alex is a grimpus.", + "query": "Prove: Alex is a dumpus.", + "chain_of_thought": [ + "Alex is a grimpus.", + "Alex is a zumpus.", + "Alex is a brimpus.", + "Alex is a brimpus, a zumpus, and a grimpus.", + "Everything that is a brimpus, a zumpus, and a grimpus is a vumpus and a jompus and a dumpus.", + "Alex is a vumpus and a jompus and a dumpus.", + "Alex is a dumpus." + ] + }, + "in_context_example2": { + "question": "Max is a grimpus. Each impus is a brimpus. Everything that is a grimpus and a rompus and a jompus is a vumpus, a numpus, and an impus. Max is a gorpus. Everything that is a grimpus, a rompus, and a jompus is a wumpus. Max is a yumpus. Numpuses are zumpuses. Everything that is a gorpus, a grimpus, and a yumpus is a shumpus. Max is a yumpus. Max is a grimpus. Max is a rompus. Max is a jompus.", + "query": "Prove: Max is a vumpus.", + "chain_of_thought": [ + "Max is a jompus.", + "Max is a rompus.", + "Max is a grimpus.", + "Max is a grimpus and a rompus and a jompus.", + "Everything that is a grimpus and a rompus and a jompus is a vumpus, a numpus, and an impus.", + "Max is a vumpus, a numpus, and an impus.", + "Max is a vumpus." + ] + }, + "in_context_example3": { + "question": "Wumpuses are grimpuses. Numpuses are zumpuses. Everything that is a dumpus, a gorpus, or a rompus is a numpus. Everything that is a dumpus or a gorpus or a rompus is a grimpus. Everything that is a gorpus or a grimpus or a lempus is a sterpus. Polly is a lempus, a lorpus, and a shumpus. Polly is a numpus and a gorpus and a wumpus.", + "query": "Prove: Polly is a numpus.", + "chain_of_thought": [ + "Polly is a numpus and a gorpus and a wumpus.", + "Polly is a gorpus.", + "Polly is a dumpus, a gorpus, or a rompus.", + "Everything that is a dumpus, a gorpus, or a rompus is a numpus.", + "Polly is a numpus." + ] + }, + "in_context_example4": { + "question": "Each grimpus is a lorpus. Every jompus is a lempus. Sterpuses are zumpuses. Sterpuses are grimpuses, jompuses, and vumpuses. Everything that is a vumpus, an impus, or a zumpus is a lempus. Max is a wumpus. Max is a sterpus.", + "query": "Prove: Max is a yumpus or a vumpus or a numpus.", + "chain_of_thought": [ + "Max is a sterpus.", + "Sterpuses are grimpuses, jompuses, and vumpuses.", + "Max is a grimpus, a jompus, and a vumpus.", + "Max is a vumpus.", + "Max is a yumpus or a vumpus or a numpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a zumpus or a numpus or a sterpus is a gorpus. Each tumpus is a rompus. Grimpuses are vumpuses. Everything that is a zumpus, a numpus, or a sterpus is an impus. Everything that is an impus or a zumpus or a shumpus is a dumpus. Alex is a dumpus, a jompus, and an impus. Alex is a grimpus, a tumpus, and a zumpus.", + "query": "Prove: Alex is a gorpus.", + "chain_of_thought": [ + "Alex is a grimpus and a tumpus and a zumpus.", + "Alex is a zumpus.", + "Alex is a zumpus, a numpus, or a sterpus.", + "Everything that is a zumpus or a numpus or a sterpus is a gorpus.", + "Alex is a gorpus." + ] + }, + "in_context_example6": { + "question": "Dumpuses are lorpuses. Sally is a vumpus. Sally is a tumpus. Everything that is a vumpus and a jompus and a zumpus is a yumpus. Sally is a numpus. Every brimpus is a wumpus. Everything that is a vumpus and a jompus and a zumpus is a brimpus and a rompus and a dumpus. Everything that is a tumpus and a vumpus and a numpus is a gorpus. Sally is a vumpus. Sally is a jompus. Sally is a wumpus. Sally is a zumpus.", + "query": "Prove: Sally is a rompus.", + "chain_of_thought": [ + "Sally is a zumpus.", + "Sally is a jompus.", + "Sally is a vumpus.", + "Sally is a vumpus and a jompus and a zumpus.", + "Everything that is a vumpus and a jompus and a zumpus is a brimpus and a rompus and a dumpus.", + "Sally is a brimpus and a rompus and a dumpus.", + "Sally is a rompus." + ] + }, + "in_context_example7": { + "question": "Each tumpus is a sterpus. Each tumpus is a rompus, a vumpus, and a shumpus. Everything that is a shumpus, a lempus, or a brimpus is a jompus. Vumpuses are wumpuses. Each rompus is a yumpus. Fae is a yumpus. Fae is a tumpus.", + "query": "Prove: Fae is a shumpus, a zumpus, or an impus.", + "chain_of_thought": [ + "Fae is a tumpus.", + "Each tumpus is a rompus, a vumpus, and a shumpus.", + "Fae is a rompus, a vumpus, and a shumpus.", + "Fae is a shumpus.", + "Fae is a shumpus or a zumpus or an impus." + ] + }, + "test_example": { + "question": "Gorpuses are jompuses. Grimpuses are rompuses. Everything that is a brimpus or a dumpus or a sterpus is a tumpus. Everything that is a brimpus or a dumpus or a sterpus is a vumpus and a gorpus and a grimpus. Everything that is a rompus, a dumpus, or a shumpus is a tumpus. Stella is a shumpus. Stella is a dumpus.", + "query": "Prove: Stella is a vumpus.", + "chain_of_thought": [ + "Stella is a dumpus.", + "Stella is a brimpus or a dumpus or a sterpus.", + "Everything that is a brimpus or a dumpus or a sterpus is a vumpus and a gorpus and a grimpus.", + "Stella is a vumpus and a gorpus and a grimpus.", + "Stella is a vumpus." + ] + } + }, + "example85": { + "in_context_example0": { + "question": "Lorpuses are rompuses. Shumpuses are jompuses and lorpuses and impuses. Everything that is a yumpus, a grimpus, and a zumpus is a dumpus. Stella is a dumpus. Stella is a yumpus. Shumpuses are rompuses. Everything that is a yumpus and a grimpus and a zumpus is not a jompus. Every dumpus is a jompus. Each impus is a brimpus. Everything that is a dumpus and a yumpus and a wumpus is a rompus. Stella is a wumpus. Stella is a rompus. Stella is a yumpus. Stella is a grimpus. Stella is a zumpus.", + "query": "Prove: Stella is not a shumpus.", + "chain_of_thought": [ + "Stella is a zumpus.", + "Stella is a grimpus.", + "Stella is a yumpus.", + "Stella is a yumpus, a grimpus, and a zumpus.", + "Everything that is a yumpus and a grimpus and a zumpus is not a jompus.", + "Stella is not a jompus.\n\n", + "Assume Stella is a shumpus.", + "Shumpuses are jompuses and lorpuses and impuses.", + "Stella is a jompus, a lorpus, and an impus.", + "Stella is a jompus.", + "This contradicts with Stella is not a jompus.", + "Stella is not a shumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Rompuses are impuses. Dumpuses are jompuses. Impuses are shumpuses. Every impus is a jompus. Tumpuses are vumpuses. Sam is a dumpus. Each rompus is a gorpus. Every numpus is a lempus. Sam is a wumpus and a vumpus and a sterpus. Sam is not a jompus and Sam is a tumpus and Sam is a numpus.", + "query": "Prove: Sam is not a rompus.", + "chain_of_thought": [ + "Sam is not a jompus and Sam is a tumpus and Sam is a numpus.", + "Sam is not a jompus.\n\n", + "Assume Sam is a rompus.", + "Rompuses are impuses.", + "Sam is an impus.", + "Every impus is a jompus.", + "Sam is a jompus.", + "This contradicts with Sam is not a jompus.", + "Sam is not a rompus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is an impus, a zumpus, or a gorpus is a vumpus. Everything that is a lorpus or a zumpus or a tumpus is a brimpus, a grimpus, and a jompus. Everything that is a lorpus or a zumpus or a tumpus is a dumpus. Jompuses are dumpuses. Every grimpus is an impus. Polly is a vumpus. Polly is a zumpus.", + "query": "Prove: Polly is a brimpus.", + "chain_of_thought": [ + "Polly is a zumpus.", + "Polly is a lorpus or a zumpus or a tumpus.", + "Everything that is a lorpus or a zumpus or a tumpus is a brimpus, a grimpus, and a jompus.", + "Polly is a brimpus and a grimpus and a jompus.", + "Polly is a brimpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a lorpus and a grimpus and a yumpus is an impus. Stella is a wumpus. Everything that is a lorpus and a wumpus and a tumpus is a lempus. Stella is a tumpus. Each jompus is a rompus. Stella is a lorpus. Everything that is a lorpus and a grimpus and a yumpus is a brimpus and a dumpus and a jompus. Each brimpus is a tumpus. Stella is a lorpus. Stella is a grimpus. Stella is a vumpus. Stella is a yumpus.", + "query": "Prove: Stella is a dumpus.", + "chain_of_thought": [ + "Stella is a yumpus.", + "Stella is a grimpus.", + "Stella is a lorpus.", + "Stella is a lorpus, a grimpus, and a yumpus.", + "Everything that is a lorpus and a grimpus and a yumpus is a brimpus and a dumpus and a jompus.", + "Stella is a brimpus, a dumpus, and a jompus.", + "Stella is a dumpus." + ] + }, + "in_context_example4": { + "question": "Sam is a zumpus. Everything that is a dumpus, a yumpus, or a wumpus is a shumpus. Everything that is an impus, a vumpus, and a grimpus is a jompus. Everything that is a sterpus, a wumpus, or a zumpus is a lempus. Sam is a lorpus. Everything that is a dumpus or a yumpus or a wumpus is a zumpus. Everything that is an impus and a vumpus and a grimpus is not a shumpus. Everything that is a lorpus and an impus and a zumpus is a brimpus. Sam is an impus. Every zumpus is a shumpus. Sam is a jompus. Sam is an impus. Sam is a vumpus. Sam is a grimpus.", + "query": "Prove: Sam is not a wumpus.", + "chain_of_thought": [ + "Sam is a grimpus.", + "Sam is a vumpus.", + "Sam is an impus.", + "Sam is an impus and a vumpus and a grimpus.", + "Everything that is an impus and a vumpus and a grimpus is not a shumpus.", + "Sam is not a shumpus.\n\n", + "Assume Sam is a wumpus.", + "Sam is a dumpus or a yumpus or a wumpus.", + "Everything that is a dumpus, a yumpus, or a wumpus is a shumpus.", + "Sam is a shumpus.", + "This contradicts with Sam is not a shumpus.", + "Sam is not a wumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Everything that is a tumpus or a numpus or a lempus is a dumpus. Each rompus is a yumpus. Everything that is a jompus or a numpus or a sterpus is a brimpus. Everything that is a tumpus, a numpus, or a lempus is a rompus and a shumpus and a grimpus. Shumpuses are impuses. Max is a jompus. Max is a numpus.", + "query": "Prove: Max is a grimpus.", + "chain_of_thought": [ + "Max is a numpus.", + "Max is a tumpus or a numpus or a lempus.", + "Everything that is a tumpus, a numpus, or a lempus is a rompus and a shumpus and a grimpus.", + "Max is a rompus, a shumpus, and a grimpus.", + "Max is a grimpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a rompus or a numpus or a brimpus is a grimpus and a lorpus and a sterpus. Every grimpus is an impus. Everything that is a brimpus, a tumpus, or an impus is a jompus. Every lorpus is a gorpus. Everything that is a rompus or a numpus or a brimpus is a jompus. Max is a gorpus. Max is a brimpus.", + "query": "Prove: Max is a sterpus.", + "chain_of_thought": [ + "Max is a brimpus.", + "Max is a rompus, a numpus, or a brimpus.", + "Everything that is a rompus or a numpus or a brimpus is a grimpus and a lorpus and a sterpus.", + "Max is a grimpus, a lorpus, and a sterpus.", + "Max is a sterpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a gorpus or a wumpus or a brimpus is a numpus. Zumpuses are shumpuses. Every lorpus is a jompus. Every sterpus is a vumpus. Lorpuses are wumpuses, zumpuses, and sterpuses. Polly is a brimpus. Polly is a lorpus.", + "query": "Prove: Polly is an impus, a yumpus, or a wumpus.", + "chain_of_thought": [ + "Polly is a lorpus.", + "Lorpuses are wumpuses, zumpuses, and sterpuses.", + "Polly is a wumpus and a zumpus and a sterpus.", + "Polly is a wumpus.", + "Polly is an impus, a yumpus, or a wumpus." + ] + }, + "test_example": { + "question": "Dumpuses are zumpuses. Zumpuses are sterpuses. Everything that is a rompus, a wumpus, or a jompus is a lorpus. Everything that is a shumpus or a numpus or a wumpus is a brimpus. Sally is a zumpus. Everything that is a shumpus, a numpus, or a wumpus is a sterpus. Lempuses are grimpuses. Sally is a vumpus and a yumpus and a brimpus. Sally is a lempus and Sally is not a sterpus and Sally is a dumpus.", + "query": "Prove: Sally is not a wumpus.", + "chain_of_thought": [ + "Sally is a lempus, Sally is not a sterpus, and Sally is a dumpus.", + "Sally is not a sterpus.\n\n", + "Assume Sally is a wumpus.", + "Sally is a shumpus or a numpus or a wumpus.", + "Everything that is a shumpus, a numpus, or a wumpus is a sterpus.", + "Sally is a sterpus.", + "This contradicts with Sally is not a sterpus.", + "Sally is not a wumpus.\n\n" + ] + } + }, + "example86": { + "in_context_example0": { + "question": "Everything that is a vumpus or a wumpus or a numpus is a dumpus. Everything that is a jompus or a lorpus or a wumpus is a gorpus. Impuses are shumpuses. Everything that is a jompus or a lorpus or a wumpus is a brimpus and an impus and a grimpus. Brimpuses are vumpuses. Sam is a shumpus. Sam is a wumpus.", + "query": "Prove: Sam is a grimpus.", + "chain_of_thought": [ + "Sam is a wumpus.", + "Sam is a jompus, a lorpus, or a wumpus.", + "Everything that is a jompus or a lorpus or a wumpus is a brimpus and an impus and a grimpus.", + "Sam is a brimpus, an impus, and a grimpus.", + "Sam is a grimpus." + ] + }, + "in_context_example1": { + "question": "Everything that is a rompus or a sterpus or a shumpus is a yumpus and a jompus and a lorpus. Each lorpus is a numpus. Yumpuses are impuses. Everything that is a rompus, a sterpus, or a shumpus is a wumpus. Everything that is a brimpus or a rompus or a lempus is a grimpus. Sally is a grimpus. Sally is a rompus.", + "query": "Prove: Sally is a jompus.", + "chain_of_thought": [ + "Sally is a rompus.", + "Sally is a rompus, a sterpus, or a shumpus.", + "Everything that is a rompus or a sterpus or a shumpus is a yumpus and a jompus and a lorpus.", + "Sally is a yumpus, a jompus, and a lorpus.", + "Sally is a jompus." + ] + }, + "in_context_example2": { + "question": "Each impus is a numpus. Everything that is a lempus, a brimpus, or a zumpus is a jompus. Shumpuses are sterpuses. Each gorpus is a rompus. Each gorpus is a shumpus, a lempus, and an impus. Rex is a lorpus. Rex is a gorpus.", + "query": "Prove: Rex is an impus, a tumpus, or a lempus.", + "chain_of_thought": [ + "Rex is a gorpus.", + "Each gorpus is a shumpus, a lempus, and an impus.", + "Rex is a shumpus, a lempus, and an impus.", + "Rex is a lempus.", + "Rex is an impus or a tumpus or a lempus." + ] + }, + "in_context_example3": { + "question": "Everything that is a shumpus or a zumpus or a tumpus is a numpus. Vumpuses are gorpuses. Everything that is a rompus, a zumpus, or a brimpus is a yumpus. Each jompus is a sterpus. Everything that is a rompus or a zumpus or a brimpus is a grimpus, a jompus, and a vumpus. Sam is a dumpus. Sam is a zumpus.", + "query": "Prove: Sam is a grimpus.", + "chain_of_thought": [ + "Sam is a zumpus.", + "Sam is a rompus or a zumpus or a brimpus.", + "Everything that is a rompus or a zumpus or a brimpus is a grimpus, a jompus, and a vumpus.", + "Sam is a grimpus, a jompus, and a vumpus.", + "Sam is a grimpus." + ] + }, + "in_context_example4": { + "question": "Brimpuses are lempuses. Jompuses are gorpuses. Jompuses are shumpuses, sterpuses, and zumpuses. Lorpuses are zumpuses. Each rompus is not a zumpus. Shumpuses are tumpuses. Dumpuses are vumpuses. Alex is a lorpus. Sterpuses are gorpuses. Each rompus is a wumpus. Alex is an impus, a yumpus, and a wumpus. Alex is a dumpus and a brimpus and a rompus.", + "query": "Prove: Alex is not a jompus.", + "chain_of_thought": [ + "Alex is a dumpus and a brimpus and a rompus.", + "Alex is a rompus.", + "Each rompus is not a zumpus.", + "Alex is not a zumpus.\n\n", + "Assume Alex is a jompus.", + "Jompuses are shumpuses, sterpuses, and zumpuses.", + "Alex is a shumpus and a sterpus and a zumpus.", + "Alex is a zumpus.", + "This contradicts with Alex is not a zumpus.", + "Alex is not a jompus.\n\n" + ] + }, + "in_context_example5": { + "question": "Everything that is a numpus or a shumpus or a rompus is a wumpus. Rex is a lempus. Everything that is a lempus and a lorpus and a tumpus is a numpus. Rex is a vumpus. Everything that is a vumpus and a lempus and a zumpus is a sterpus. Everything that is a lempus and a lorpus and a tumpus is a sterpus. Rex is a zumpus. Rex is a lempus. Rex is a lorpus. Rex is a wumpus. Rex is a tumpus.", + "query": "Prove: Rex is a numpus, a brimpus, or a gorpus.", + "chain_of_thought": [ + "Rex is a tumpus.", + "Rex is a lorpus.", + "Rex is a lempus.", + "Rex is a lempus, a lorpus, and a tumpus.", + "Everything that is a lempus and a lorpus and a tumpus is a numpus.", + "Rex is a numpus.", + "Rex is a numpus or a brimpus or a gorpus." + ] + }, + "in_context_example6": { + "question": "Impuses are yumpuses. Everything that is a shumpus or a vumpus or a sterpus is a lempus. Each lorpus is a zumpus. Tumpuses are sterpuses. Every impus is a shumpus, a tumpus, and a lorpus. Max is a sterpus. Max is an impus.", + "query": "Prove: Max is a shumpus, a dumpus, or a lorpus.", + "chain_of_thought": [ + "Max is an impus.", + "Every impus is a shumpus, a tumpus, and a lorpus.", + "Max is a shumpus and a tumpus and a lorpus.", + "Max is a shumpus.", + "Max is a shumpus, a dumpus, or a lorpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a lorpus or a jompus or a brimpus is a zumpus. Gorpuses are rompuses. Tumpuses are zumpuses. Every sterpus is a yumpus. Sterpuses are tumpuses and jompuses and gorpuses. Stella is an impus. Stella is a sterpus.", + "query": "Prove: Stella is a vumpus, a jompus, or a numpus.", + "chain_of_thought": [ + "Stella is a sterpus.", + "Sterpuses are tumpuses and jompuses and gorpuses.", + "Stella is a tumpus, a jompus, and a gorpus.", + "Stella is a jompus.", + "Stella is a vumpus or a jompus or a numpus." + ] + }, + "test_example": { + "question": "Everything that is a wumpus and a vumpus and a shumpus is a grimpus. Stella is a wumpus. Stella is a vumpus. Everything that is a zumpus, a brimpus, or a rompus is a jompus. Everything that is a wumpus, a dumpus, and a lorpus is a brimpus. Everything that is a wumpus, a dumpus, and a lorpus is a zumpus. Stella is a shumpus. Stella is a sterpus. Stella is a wumpus. Stella is a dumpus. Stella is a lorpus.", + "query": "Prove: Stella is a zumpus or a numpus or a gorpus.", + "chain_of_thought": [ + "Stella is a lorpus.", + "Stella is a dumpus.", + "Stella is a wumpus.", + "Stella is a wumpus, a dumpus, and a lorpus.", + "Everything that is a wumpus, a dumpus, and a lorpus is a zumpus.", + "Stella is a zumpus.", + "Stella is a zumpus or a numpus or a gorpus." + ] + } + }, + "example87": { + "in_context_example0": { + "question": "Wumpuses are yumpuses. Brimpuses are grimpuses. Everything that is a rompus, a dumpus, or a vumpus is a jompus. Wumpuses are tumpuses and brimpuses and rompuses. Tumpuses are sterpuses. Wren is a dumpus. Wren is a wumpus.", + "query": "Prove: Wren is a rompus, a lempus, or a zumpus.", + "chain_of_thought": [ + "Wren is a wumpus.", + "Wumpuses are tumpuses and brimpuses and rompuses.", + "Wren is a tumpus, a brimpus, and a rompus.", + "Wren is a rompus.", + "Wren is a rompus or a lempus or a zumpus." + ] + }, + "in_context_example1": { + "question": "Sally is a shumpus. Sally is a lempus. Everything that is a tumpus and a jompus and a lorpus is a brimpus. Sally is a tumpus. Rompuses are gorpuses. Everything that is a tumpus and a jompus and a lorpus is a numpus and a rompus and an impus. Everything that is a shumpus and a tumpus and a lempus is a dumpus. Each numpus is a dumpus. Sally is a tumpus. Sally is a brimpus. Sally is a jompus. Sally is a lorpus.", + "query": "Prove: Sally is an impus.", + "chain_of_thought": [ + "Sally is a lorpus.", + "Sally is a jompus.", + "Sally is a tumpus.", + "Sally is a tumpus, a jompus, and a lorpus.", + "Everything that is a tumpus and a jompus and a lorpus is a numpus and a rompus and an impus.", + "Sally is a numpus and a rompus and an impus.", + "Sally is an impus." + ] + }, + "in_context_example2": { + "question": "Sam is an impus. Sam is a tumpus. Every grimpus is a brimpus. Each gorpus is a jompus. Sam is a lorpus. Everything that is a lorpus, an impus, and a tumpus is a numpus. Everything that is a lorpus, a wumpus, and a yumpus is a dumpus, a gorpus, and a grimpus. Everything that is a lorpus, a wumpus, and a yumpus is an impus. Sam is a lorpus. Sam is a wumpus. Sam is a jompus. Sam is a yumpus.", + "query": "Prove: Sam is a dumpus.", + "chain_of_thought": [ + "Sam is a yumpus.", + "Sam is a wumpus.", + "Sam is a lorpus.", + "Sam is a lorpus, a wumpus, and a yumpus.", + "Everything that is a lorpus, a wumpus, and a yumpus is a dumpus, a gorpus, and a grimpus.", + "Sam is a dumpus, a gorpus, and a grimpus.", + "Sam is a dumpus." + ] + }, + "in_context_example3": { + "question": "Every dumpus is a numpus. Zumpuses are lorpuses. Yumpuses are rompuses. Each wumpus is a dumpus and a zumpus and a shumpus. Rompuses are not shumpuses. Wumpuses are jompuses. Yumpuses are lorpuses. Every rompus is a sterpus. Every jompus is a shumpus. Sam is a jompus. Sam is a gorpus. Sam is a yumpus.", + "query": "Prove: Sam is not a wumpus.", + "chain_of_thought": [ + "Sam is a yumpus.", + "Yumpuses are rompuses.", + "Sam is a rompus.", + "Rompuses are not shumpuses.", + "Sam is not a shumpus.\n\n", + "Assume Sam is a wumpus.", + "Each wumpus is a dumpus and a zumpus and a shumpus.", + "Sam is a dumpus, a zumpus, and a shumpus.", + "Sam is a shumpus.", + "This contradicts with Sam is not a shumpus.", + "Sam is not a wumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Every rompus is a sterpus. Wren is a zumpus. Wren is a tumpus. Everything that is a zumpus, a gorpus, and a brimpus is a jompus, a rompus, and a numpus. Wren is a shumpus. Everything that is a zumpus and a gorpus and a brimpus is a lempus. Jompuses are vumpuses. Everything that is a zumpus, a tumpus, and a shumpus is a grimpus. Wren is a zumpus. Wren is a gorpus. Wren is a yumpus. Wren is a brimpus.", + "query": "Prove: Wren is a numpus.", + "chain_of_thought": [ + "Wren is a brimpus.", + "Wren is a gorpus.", + "Wren is a zumpus.", + "Wren is a zumpus, a gorpus, and a brimpus.", + "Everything that is a zumpus, a gorpus, and a brimpus is a jompus, a rompus, and a numpus.", + "Wren is a jompus, a rompus, and a numpus.", + "Wren is a numpus." + ] + }, + "in_context_example5": { + "question": "Fae is a rompus. Fae is a sterpus. Everything that is a lorpus, a rompus, and a sterpus is a numpus. Fae is a lorpus. Everything that is a rompus and a gorpus and a brimpus is a wumpus. Each impus is a jompus. Everything that is a rompus and a gorpus and a brimpus is a grimpus. Vumpuses are tumpuses. Each sterpus is a wumpus. Fae is not a wumpus and Fae is an impus and Fae is a vumpus. Fae is a tumpus and a lempus and a lorpus. Fae is a rompus. Fae is a gorpus.", + "query": "Prove: Fae is not a brimpus.", + "chain_of_thought": [ + "Fae is not a wumpus and Fae is an impus and Fae is a vumpus.", + "Fae is not a wumpus.\n\n", + "Assume Fae is a brimpus.", + "Fae is a gorpus.", + "Fae is a rompus.", + "Fae is a rompus, a gorpus, and a brimpus.", + "Everything that is a rompus and a gorpus and a brimpus is a wumpus.", + "Fae is a wumpus.", + "This contradicts with Fae is not a wumpus.", + "Fae is not a brimpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Each rompus is an impus. Everything that is a lorpus, a sterpus, or a yumpus is a numpus. Everything that is a gorpus, a wumpus, or a lorpus is a numpus. Rex is a lempus. Lempuses are dumpuses. Everything that is a gorpus, a wumpus, or a lorpus is a dumpus. Each tumpus is a numpus. Rex is an impus, a sterpus, and a numpus. Rex is a tumpus, Rex is a rompus, and Rex is not a dumpus.", + "query": "Prove: Rex is not a lorpus.", + "chain_of_thought": [ + "Rex is a tumpus and Rex is a rompus and Rex is not a dumpus.", + "Rex is not a dumpus.\n\n", + "Assume Rex is a lorpus.", + "Rex is a gorpus, a wumpus, or a lorpus.", + "Everything that is a gorpus, a wumpus, or a lorpus is a dumpus.", + "Rex is a dumpus.", + "This contradicts with Rex is not a dumpus.", + "Rex is not a lorpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Vumpuses are rompuses. Each vumpus is a zumpus, a wumpus, and a jompus. Jompuses are lempuses. Each zumpus is a lorpus. Everything that is a wumpus or a rompus or a tumpus is a lempus. Polly is a lorpus. Polly is a vumpus.", + "query": "Prove: Polly is a zumpus, an impus, or a wumpus.", + "chain_of_thought": [ + "Polly is a vumpus.", + "Each vumpus is a zumpus, a wumpus, and a jompus.", + "Polly is a zumpus and a wumpus and a jompus.", + "Polly is a wumpus.", + "Polly is a zumpus or an impus or a wumpus." + ] + }, + "test_example": { + "question": "Everything that is a vumpus or a shumpus or a grimpus is a yumpus, a lempus, and a dumpus. Everything that is a vumpus or a shumpus or a grimpus is a lorpus. Everything that is a vumpus or a sterpus or a zumpus is a brimpus. Every dumpus is a tumpus. Lempuses are impuses. Sally is a zumpus. Sally is a vumpus.", + "query": "Prove: Sally is a yumpus.", + "chain_of_thought": [ + "Sally is a vumpus.", + "Sally is a vumpus, a shumpus, or a grimpus.", + "Everything that is a vumpus or a shumpus or a grimpus is a yumpus, a lempus, and a dumpus.", + "Sally is a yumpus and a lempus and a dumpus.", + "Sally is a yumpus." + ] + } + }, + "example88": { + "in_context_example0": { + "question": "Sally is a gorpus. Zumpuses are lempuses. Every brimpus is a shumpus. Everything that is a dumpus, a wumpus, and a gorpus is a jompus. Everything that is a dumpus, a yumpus, and a rompus is a brimpus, a zumpus, and a numpus. Sally is a wumpus. Sally is a dumpus. Everything that is a dumpus, a yumpus, and a rompus is a wumpus. Sally is a dumpus. Sally is a shumpus. Sally is a yumpus. Sally is a rompus.", + "query": "Prove: Sally is a numpus.", + "chain_of_thought": [ + "Sally is a rompus.", + "Sally is a yumpus.", + "Sally is a dumpus.", + "Sally is a dumpus, a yumpus, and a rompus.", + "Everything that is a dumpus, a yumpus, and a rompus is a brimpus, a zumpus, and a numpus.", + "Sally is a brimpus and a zumpus and a numpus.", + "Sally is a numpus." + ] + }, + "in_context_example1": { + "question": "Tumpuses are yumpuses. Everything that is a brimpus, a sterpus, and a dumpus is not a yumpus. Lorpuses are shumpuses. Each grimpus is a numpus. Alex is a tumpus. Grimpuses are vumpuses and lorpuses and yumpuses. Everything that is a brimpus and a tumpus and a numpus is a zumpus. Alex is a numpus. Everything that is a brimpus, a sterpus, and a dumpus is a zumpus. Alex is a brimpus. Vumpuses are zumpuses. Alex is an impus. Alex is a brimpus. Alex is a sterpus. Alex is a dumpus.", + "query": "Prove: Alex is not a grimpus.", + "chain_of_thought": [ + "Alex is a dumpus.", + "Alex is a sterpus.", + "Alex is a brimpus.", + "Alex is a brimpus and a sterpus and a dumpus.", + "Everything that is a brimpus, a sterpus, and a dumpus is not a yumpus.", + "Alex is not a yumpus.\n\n", + "Assume Alex is a grimpus.", + "Grimpuses are vumpuses and lorpuses and yumpuses.", + "Alex is a vumpus and a lorpus and a yumpus.", + "Alex is a yumpus.", + "This contradicts with Alex is not a yumpus.", + "Alex is not a grimpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Each zumpus is a brimpus. Sam is a brimpus. Sam is a wumpus. Each brimpus is a dumpus. Everything that is a vumpus, a sterpus, and a jompus is not a dumpus. Impuses are shumpuses. Sam is a vumpus. Everything that is a vumpus, a brimpus, and a wumpus is a tumpus. Every impus is a lorpus and a zumpus and a dumpus. Everything that is a vumpus and a sterpus and a jompus is a brimpus. Lorpuses are numpuses. Sam is a vumpus. Sam is a brimpus. Sam is a sterpus. Sam is a jompus.", + "query": "Prove: Sam is not an impus.", + "chain_of_thought": [ + "Sam is a jompus.", + "Sam is a sterpus.", + "Sam is a vumpus.", + "Sam is a vumpus and a sterpus and a jompus.", + "Everything that is a vumpus, a sterpus, and a jompus is not a dumpus.", + "Sam is not a dumpus.\n\n", + "Assume Sam is an impus.", + "Every impus is a lorpus and a zumpus and a dumpus.", + "Sam is a lorpus, a zumpus, and a dumpus.", + "Sam is a dumpus.", + "This contradicts with Sam is not a dumpus.", + "Sam is not an impus.\n\n" + ] + }, + "in_context_example3": { + "question": "Lempuses are grimpuses. Sam is a lempus. Sam is a wumpus. Each brimpus is a sterpus. Everything that is a vumpus and a rompus and a shumpus is a grimpus. Everything that is a vumpus, a rompus, and a shumpus is a sterpus. Sam is a vumpus. Sam is an impus. Everything that is a wumpus and a vumpus and an impus is a sterpus. Each jompus is a wumpus. Sam is a jompus, Sam is not a grimpus, and Sam is a brimpus. Sam is a tumpus, a gorpus, and a zumpus. Sam is a vumpus. Sam is a rompus.", + "query": "Prove: Sam is not a shumpus.", + "chain_of_thought": [ + "Sam is a jompus, Sam is not a grimpus, and Sam is a brimpus.", + "Sam is not a grimpus.\n\n", + "Assume Sam is a shumpus.", + "Sam is a rompus.", + "Sam is a vumpus.", + "Sam is a vumpus, a rompus, and a shumpus.", + "Everything that is a vumpus and a rompus and a shumpus is a grimpus.", + "Sam is a grimpus.", + "This contradicts with Sam is not a grimpus.", + "Sam is not a shumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Everything that is a lempus and a numpus and a rompus is a grimpus and a lorpus and a tumpus. Everything that is a lempus and a gorpus and a sterpus is a brimpus. Sam is a gorpus. Everything that is a lempus, a numpus, and a rompus is a vumpus. Lorpuses are yumpuses. Grimpuses are jompuses. Sam is a sterpus. Sam is a lempus. Sam is a lempus. Sam is a numpus. Sam is a zumpus. Sam is a rompus.", + "query": "Prove: Sam is a tumpus.", + "chain_of_thought": [ + "Sam is a rompus.", + "Sam is a numpus.", + "Sam is a lempus.", + "Sam is a lempus, a numpus, and a rompus.", + "Everything that is a lempus and a numpus and a rompus is a grimpus and a lorpus and a tumpus.", + "Sam is a grimpus, a lorpus, and a tumpus.", + "Sam is a tumpus." + ] + }, + "in_context_example5": { + "question": "Sally is a shumpus. Every shumpus is a numpus. Every grimpus is a shumpus, a wumpus, and a zumpus. Everything that is a shumpus, a jompus, and a lempus is a sterpus. Every dumpus is a wumpus. Sally is a lempus. Sally is a dumpus. Everything that is a shumpus, a brimpus, and an impus is not a wumpus. Every grimpus is a dumpus. Sally is a jompus. Zumpuses are lorpuses. Everything that is a shumpus, a brimpus, and an impus is a lempus. Sally is a shumpus. Sally is a brimpus. Sally is a tumpus. Sally is an impus.", + "query": "Prove: Sally is not a grimpus.", + "chain_of_thought": [ + "Sally is an impus.", + "Sally is a brimpus.", + "Sally is a shumpus.", + "Sally is a shumpus and a brimpus and an impus.", + "Everything that is a shumpus, a brimpus, and an impus is not a wumpus.", + "Sally is not a wumpus.\n\n", + "Assume Sally is a grimpus.", + "Every grimpus is a shumpus, a wumpus, and a zumpus.", + "Sally is a shumpus and a wumpus and a zumpus.", + "Sally is a wumpus.", + "This contradicts with Sally is not a wumpus.", + "Sally is not a grimpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Every lorpus is a tumpus. Everything that is a vumpus or a rompus or a zumpus is a grimpus. Each sterpus is a brimpus. Each wumpus is a numpus. Lorpuses are sterpuses, wumpuses, and rompuses. Wren is a zumpus. Wren is a lorpus.", + "query": "Prove: Wren is a wumpus or a rompus or a dumpus.", + "chain_of_thought": [ + "Wren is a lorpus.", + "Lorpuses are sterpuses, wumpuses, and rompuses.", + "Wren is a sterpus, a wumpus, and a rompus.", + "Wren is a rompus.", + "Wren is a wumpus, a rompus, or a dumpus." + ] + }, + "in_context_example7": { + "question": "Gorpuses are zumpuses. Each rompus is a wumpus. Everything that is a grimpus, a shumpus, or a sterpus is a brimpus. Gorpuses are grimpuses. Every impus is a dumpus. Wren is a lorpus and a dumpus and a vumpus. Wren is an impus, a gorpus, and a rompus.", + "query": "Prove: Wren is a grimpus or a tumpus or a jompus.", + "chain_of_thought": [ + "Wren is an impus, a gorpus, and a rompus.", + "Wren is a gorpus.", + "Gorpuses are grimpuses.", + "Wren is a grimpus.", + "Wren is a grimpus or a tumpus or a jompus." + ] + }, + "test_example": { + "question": "Shumpuses are rompuses. Each gorpus is a rompus. Everything that is a vumpus, a lorpus, or a brimpus is a yumpus. Lempuses are impuses. Shumpuses are vumpuses, lempuses, and gorpuses. Stella is a grimpus. Stella is a shumpus.", + "query": "Prove: Stella is a numpus or a wumpus or a vumpus.", + "chain_of_thought": [ + "Stella is a shumpus.", + "Shumpuses are vumpuses, lempuses, and gorpuses.", + "Stella is a vumpus and a lempus and a gorpus.", + "Stella is a vumpus.", + "Stella is a numpus or a wumpus or a vumpus." + ] + } + }, + "example89": { + "in_context_example0": { + "question": "Grimpuses are zumpuses. Numpuses are shumpuses. Every sterpus is a rompus. Everything that is a lorpus, a wumpus, or a vumpus is a zumpus. Every grimpus is a sterpus, a numpus, and a wumpus. Alex is a lorpus. Alex is a grimpus.", + "query": "Prove: Alex is a sterpus or a brimpus or a wumpus.", + "chain_of_thought": [ + "Alex is a grimpus.", + "Every grimpus is a sterpus, a numpus, and a wumpus.", + "Alex is a sterpus and a numpus and a wumpus.", + "Alex is a wumpus.", + "Alex is a sterpus, a brimpus, or a wumpus." + ] + }, + "in_context_example1": { + "question": "Gorpuses are brimpuses. Everything that is a wumpus, a yumpus, or a jompus is a grimpus, a shumpus, and a gorpus. Everything that is a wumpus, a yumpus, or a jompus is a numpus. Grimpuses are tumpuses. Everything that is a zumpus, a jompus, or a lorpus is a vumpus. Stella is a sterpus. Stella is a jompus.", + "query": "Prove: Stella is a shumpus.", + "chain_of_thought": [ + "Stella is a jompus.", + "Stella is a wumpus or a yumpus or a jompus.", + "Everything that is a wumpus, a yumpus, or a jompus is a grimpus, a shumpus, and a gorpus.", + "Stella is a grimpus, a shumpus, and a gorpus.", + "Stella is a shumpus." + ] + }, + "in_context_example2": { + "question": "Each shumpus is a numpus. Sterpuses are lempuses. Shumpuses are jompuses. Everything that is a numpus or a tumpus or a grimpus is a lempus. Lorpuses are zumpuses. Wren is a rompus and a grimpus and a zumpus. Wren is a sterpus and a shumpus and a lorpus.", + "query": "Prove: Wren is a dumpus or a numpus or a vumpus.", + "chain_of_thought": [ + "Wren is a sterpus and a shumpus and a lorpus.", + "Wren is a shumpus.", + "Each shumpus is a numpus.", + "Wren is a numpus.", + "Wren is a dumpus, a numpus, or a vumpus." + ] + }, + "in_context_example3": { + "question": "Sterpuses are lorpuses. Each sterpus is a brimpus. Shumpuses are zumpuses. Grimpuses are lempuses. Everything that is a lorpus, a gorpus, or a numpus is a lempus. Stella is an impus and a gorpus and a wumpus. Stella is a grimpus, a sterpus, and a shumpus.", + "query": "Prove: Stella is a lorpus or a vumpus or a sterpus.", + "chain_of_thought": [ + "Stella is a grimpus and a sterpus and a shumpus.", + "Stella is a sterpus.", + "Sterpuses are lorpuses.", + "Stella is a lorpus.", + "Stella is a lorpus or a vumpus or a sterpus." + ] + }, + "in_context_example4": { + "question": "Every yumpus is a zumpus. Everything that is a jompus or a numpus or a vumpus is a lorpus. Tumpuses are shumpuses. Everything that is a jompus, a grimpus, or a brimpus is a gorpus, a tumpus, and a yumpus. Everything that is a jompus or a grimpus or a brimpus is an impus. Alex is a shumpus. Alex is a jompus.", + "query": "Prove: Alex is a gorpus.", + "chain_of_thought": [ + "Alex is a jompus.", + "Alex is a jompus or a grimpus or a brimpus.", + "Everything that is a jompus, a grimpus, or a brimpus is a gorpus, a tumpus, and a yumpus.", + "Alex is a gorpus, a tumpus, and a yumpus.", + "Alex is a gorpus." + ] + }, + "in_context_example5": { + "question": "Everything that is an impus, a gorpus, or a dumpus is a zumpus, a rompus, and a brimpus. Zumpuses are jompuses. Brimpuses are tumpuses. Everything that is a wumpus, a dumpus, or a jompus is a lorpus. Everything that is an impus, a gorpus, or a dumpus is a lempus. Wren is a lorpus. Wren is a dumpus.", + "query": "Prove: Wren is a rompus.", + "chain_of_thought": [ + "Wren is a dumpus.", + "Wren is an impus, a gorpus, or a dumpus.", + "Everything that is an impus, a gorpus, or a dumpus is a zumpus, a rompus, and a brimpus.", + "Wren is a zumpus and a rompus and a brimpus.", + "Wren is a rompus." + ] + }, + "in_context_example6": { + "question": "Every sterpus is a lempus. Everything that is a sterpus, a lorpus, or a dumpus is a brimpus. Everything that is a lorpus, a shumpus, or a tumpus is a brimpus. Gorpuses are numpuses. Everything that is a sterpus, a lorpus, or a dumpus is a vumpus. Wren is a tumpus, a wumpus, and a numpus. Wren is a lorpus and a gorpus and a sterpus.", + "query": "Prove: Wren is a vumpus.", + "chain_of_thought": [ + "Wren is a lorpus, a gorpus, and a sterpus.", + "Wren is a lorpus.", + "Wren is a sterpus, a lorpus, or a dumpus.", + "Everything that is a sterpus, a lorpus, or a dumpus is a vumpus.", + "Wren is a vumpus." + ] + }, + "in_context_example7": { + "question": "Wren is a dumpus. Everything that is a dumpus and a tumpus and a vumpus is a jompus and a numpus and a grimpus. Numpuses are impuses. Every grimpus is a lorpus. Wren is a gorpus. Everything that is a dumpus and a tumpus and a vumpus is a lempus. Wren is a shumpus. Everything that is a gorpus and a dumpus and a shumpus is a lorpus. Wren is a dumpus. Wren is a lempus. Wren is a tumpus. Wren is a vumpus.", + "query": "Prove: Wren is a jompus.", + "chain_of_thought": [ + "Wren is a vumpus.", + "Wren is a tumpus.", + "Wren is a dumpus.", + "Wren is a dumpus, a tumpus, and a vumpus.", + "Everything that is a dumpus and a tumpus and a vumpus is a jompus and a numpus and a grimpus.", + "Wren is a jompus, a numpus, and a grimpus.", + "Wren is a jompus." + ] + }, + "test_example": { + "question": "Every rompus is a lorpus. Every jompus is a numpus. Every brimpus is a lorpus. Alex is a jompus. Each shumpus is a sterpus. Impuses are vumpuses. Every rompus is a numpus, a brimpus, and an impus. Each tumpus is a yumpus. Alex is a vumpus and a yumpus and a sterpus. Alex is a shumpus, Alex is not a numpus, and Alex is a tumpus.", + "query": "Prove: Alex is not a rompus.", + "chain_of_thought": [ + "Alex is a shumpus and Alex is not a numpus and Alex is a tumpus.", + "Alex is not a numpus.\n\n", + "Assume Alex is a rompus.", + "Every rompus is a numpus, a brimpus, and an impus.", + "Alex is a numpus and a brimpus and an impus.", + "Alex is a numpus.", + "This contradicts with Alex is not a numpus.", + "Alex is not a rompus.\n\n" + ] + } + }, + "example90": { + "in_context_example0": { + "question": "Everything that is a yumpus and a zumpus and a rompus is a tumpus. Fae is a vumpus. Fae is a rompus. Everything that is a zumpus and a sterpus and a lorpus is a numpus. Fae is a zumpus. Everything that is a jompus, a grimpus, and a sterpus is a tumpus. Everything that is a jompus and a grimpus and a sterpus is not a brimpus. Fae is a yumpus. Fae is a lempus. Fae is a dumpus. Everything that is a jompus, a lempus, and a vumpus is an impus. Fae is a jompus. Everything that is a zumpus, a sterpus, and a lorpus is a brimpus. Dumpuses are brimpuses. Fae is a jompus. Fae is a grimpus. Fae is a sterpus. Fae is a zumpus. Fae is an impus. Fae is a sterpus.", + "query": "Prove: Fae is not a lorpus.", + "chain_of_thought": [ + "Fae is a sterpus.", + "Fae is a grimpus.", + "Fae is a jompus.", + "Fae is a jompus and a grimpus and a sterpus.", + "Everything that is a jompus and a grimpus and a sterpus is not a brimpus.", + "Fae is not a brimpus.\n\n", + "Assume Fae is a lorpus.", + "Fae is a sterpus.", + "Fae is a zumpus.", + "Fae is a zumpus, a sterpus, and a lorpus.", + "Everything that is a zumpus, a sterpus, and a lorpus is a brimpus.", + "Fae is a brimpus.", + "This contradicts with Fae is not a brimpus.", + "Fae is not a lorpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Sam is a numpus. Sam is a grimpus. Every zumpus is a vumpus. Everything that is a grimpus and a dumpus and a numpus is a yumpus. Everything that is a grimpus and a sterpus and a lorpus is a jompus and a zumpus and a rompus. Sam is a dumpus. Each jompus is a dumpus. Everything that is a grimpus and a sterpus and a lorpus is a numpus. Sam is a dumpus. Sam is a grimpus. Sam is a sterpus. Sam is a lorpus.", + "query": "Prove: Sam is a rompus.", + "chain_of_thought": [ + "Sam is a lorpus.", + "Sam is a sterpus.", + "Sam is a grimpus.", + "Sam is a grimpus, a sterpus, and a lorpus.", + "Everything that is a grimpus and a sterpus and a lorpus is a jompus and a zumpus and a rompus.", + "Sam is a jompus, a zumpus, and a rompus.", + "Sam is a rompus." + ] + }, + "in_context_example2": { + "question": "Everything that is a dumpus or a yumpus or a rompus is a sterpus. Every lempus is a sterpus. Grimpuses are rompuses. Grimpuses are dumpuses, lempuses, and zumpuses. Each zumpus is a wumpus. Polly is a brimpus. Polly is a grimpus.", + "query": "Prove: Polly is a jompus, a dumpus, or a tumpus.", + "chain_of_thought": [ + "Polly is a grimpus.", + "Grimpuses are dumpuses, lempuses, and zumpuses.", + "Polly is a dumpus, a lempus, and a zumpus.", + "Polly is a dumpus.", + "Polly is a jompus or a dumpus or a tumpus." + ] + }, + "in_context_example3": { + "question": "Every lempus is a grimpus. Polly is a dumpus. Brimpuses are jompuses. Impuses are yumpuses. Brimpuses are rompuses and numpuses and lempuses. Dumpuses are numpuses. Shumpuses are sterpuses. Rompuses are wumpuses. Polly is a yumpus, a grimpus, and a dumpus. Polly is a shumpus, Polly is an impus, and Polly is not a numpus.", + "query": "Prove: Polly is not a brimpus.", + "chain_of_thought": [ + "Polly is a shumpus and Polly is an impus and Polly is not a numpus.", + "Polly is not a numpus.\n\n", + "Assume Polly is a brimpus.", + "Brimpuses are rompuses and numpuses and lempuses.", + "Polly is a rompus and a numpus and a lempus.", + "Polly is a numpus.", + "This contradicts with Polly is not a numpus.", + "Polly is not a brimpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Each brimpus is a dumpus. Each zumpus is a lorpus. Sam is an impus. Every impus is a vumpus. Dumpuses are rompuses. Every brimpus is a tumpus. Every wumpus is a gorpus. Each dumpus is a vumpus. Sam is a yumpus and a lorpus and a sterpus. Sam is a zumpus, Sam is not a vumpus, and Sam is a wumpus.", + "query": "Prove: Sam is not a brimpus.", + "chain_of_thought": [ + "Sam is a zumpus, Sam is not a vumpus, and Sam is a wumpus.", + "Sam is not a vumpus.\n\n", + "Assume Sam is a brimpus.", + "Each brimpus is a dumpus.", + "Sam is a dumpus.", + "Each dumpus is a vumpus.", + "Sam is a vumpus.", + "This contradicts with Sam is not a vumpus.", + "Sam is not a brimpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Yumpuses are rompuses. Grimpuses are wumpuses. Every brimpus is a lempus. Numpuses are vumpuses. Stella is a yumpus. Vumpuses are rompuses. Vumpuses are gorpuses. Numpuses are shumpuses. Stella is a lempus, a gorpus, and a sterpus. Stella is a grimpus, Stella is not a rompus, and Stella is a brimpus.", + "query": "Prove: Stella is not a numpus.", + "chain_of_thought": [ + "Stella is a grimpus and Stella is not a rompus and Stella is a brimpus.", + "Stella is not a rompus.\n\n", + "Assume Stella is a numpus.", + "Numpuses are vumpuses.", + "Stella is a vumpus.", + "Vumpuses are rompuses.", + "Stella is a rompus.", + "This contradicts with Stella is not a rompus.", + "Stella is not a numpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Each brimpus is an impus and a numpus and a yumpus. Each yumpus is a zumpus. Brimpuses are wumpuses. Every numpus is a tumpus. Everything that is an impus or a tumpus or a dumpus is a wumpus. Rex is a lempus. Rex is a brimpus.", + "query": "Prove: Rex is a rompus or a grimpus or an impus.", + "chain_of_thought": [ + "Rex is a brimpus.", + "Each brimpus is an impus and a numpus and a yumpus.", + "Rex is an impus, a numpus, and a yumpus.", + "Rex is an impus.", + "Rex is a rompus, a grimpus, or an impus." + ] + }, + "in_context_example7": { + "question": "Lempuses are brimpuses. Shumpuses are sterpuses. Each yumpus is a jompus. Everything that is a grimpus, a zumpus, and a numpus is a jompus. Every shumpus is a grimpus. Stella is a numpus. Stella is a zumpus. Each gorpus is an impus. Every grimpus is a lorpus. Stella is a grimpus. Stella is a lorpus and a sterpus and a zumpus. Stella is a shumpus, a yumpus, and a grimpus. Stella is a vumpus, Stella is a dumpus, and Stella is not an impus. Stella is a rompus and Stella is not a brimpus and Stella is a tumpus.", + "query": "Prove: Stella is a grimpus and Stella is not a gorpus and Stella is not a lempus.", + "chain_of_thought": [ + "Stella is a rompus, Stella is not a brimpus, and Stella is a tumpus.", + "Stella is not a brimpus.\n\n", + "Assume Stella is a lempus.", + "Lempuses are brimpuses.", + "Stella is a brimpus.", + "This contradicts with Stella is not a brimpus.", + "Stella is not a lempus.\n\n", + "Stella is a vumpus and Stella is a dumpus and Stella is not an impus.", + "Stella is not an impus.\n\n", + "Assume Stella is a gorpus.", + "Each gorpus is an impus.", + "Stella is an impus.", + "This contradicts with Stella is not an impus.", + "Stella is not a gorpus.\n\n", + "Stella is a shumpus, a yumpus, and a grimpus.", + "Stella is a shumpus.", + "Every shumpus is a grimpus.", + "Stella is a grimpus.", + "Stella is a grimpus and Stella is not a gorpus and Stella is not a lempus." + ] + }, + "test_example": { + "question": "Everything that is a numpus, a wumpus, or a grimpus is a shumpus. Each yumpus is a lempus. Everything that is a wumpus or a gorpus or a vumpus is a tumpus. Each jompus is a dumpus. Everything that is a wumpus, a gorpus, or a vumpus is a sterpus. Alex is a dumpus and a tumpus and a lorpus. Alex is a yumpus and a jompus and a wumpus.", + "query": "Prove: Alex is a sterpus.", + "chain_of_thought": [ + "Alex is a yumpus and a jompus and a wumpus.", + "Alex is a wumpus.", + "Alex is a wumpus or a gorpus or a vumpus.", + "Everything that is a wumpus, a gorpus, or a vumpus is a sterpus.", + "Alex is a sterpus." + ] + } + }, + "example91": { + "in_context_example0": { + "question": "Every brimpus is a dumpus. Everything that is a rompus, a numpus, or a zumpus is a lorpus. Tumpuses are impuses. Everything that is a numpus, a sterpus, or a yumpus is an impus. Everything that is a rompus or a numpus or a zumpus is a tumpus, a brimpus, and a grimpus. Fae is a vumpus. Fae is a numpus.", + "query": "Prove: Fae is a grimpus.", + "chain_of_thought": [ + "Fae is a numpus.", + "Fae is a rompus or a numpus or a zumpus.", + "Everything that is a rompus or a numpus or a zumpus is a tumpus, a brimpus, and a grimpus.", + "Fae is a tumpus, a brimpus, and a grimpus.", + "Fae is a grimpus." + ] + }, + "in_context_example1": { + "question": "Every dumpus is a vumpus. Every shumpus is a sterpus. Everything that is a dumpus or a rompus or a jompus is a zumpus. Everything that is a dumpus, a rompus, or a jompus is a numpus. Everything that is a yumpus or a jompus or a lorpus is a tumpus. Fae is a yumpus, a lorpus, and a grimpus. Fae is a dumpus, a jompus, and a shumpus.", + "query": "Prove: Fae is a zumpus.", + "chain_of_thought": [ + "Fae is a dumpus, a jompus, and a shumpus.", + "Fae is a jompus.", + "Fae is a dumpus or a rompus or a jompus.", + "Everything that is a dumpus or a rompus or a jompus is a zumpus.", + "Fae is a zumpus." + ] + }, + "in_context_example2": { + "question": "Gorpuses are zumpuses. Every brimpus is a sterpus and a gorpus and a lempus. Everything that is a sterpus, a tumpus, or a jompus is a lorpus. Brimpuses are grimpuses. Lempuses are wumpuses. Alex is a yumpus. Alex is a brimpus.", + "query": "Prove: Alex is a lempus or a gorpus or a sterpus.", + "chain_of_thought": [ + "Alex is a brimpus.", + "Every brimpus is a sterpus and a gorpus and a lempus.", + "Alex is a sterpus and a gorpus and a lempus.", + "Alex is a sterpus.", + "Alex is a lempus or a gorpus or a sterpus." + ] + }, + "in_context_example3": { + "question": "Numpuses are jompuses. Everything that is a vumpus, a dumpus, or an impus is a grimpus. Each tumpus is a lorpus. Everything that is a vumpus or a dumpus or an impus is a numpus, a yumpus, and a tumpus. Everything that is a lorpus or an impus or a wumpus is a jompus. Polly is a sterpus. Polly is an impus.", + "query": "Prove: Polly is a yumpus.", + "chain_of_thought": [ + "Polly is an impus.", + "Polly is a vumpus or a dumpus or an impus.", + "Everything that is a vumpus or a dumpus or an impus is a numpus, a yumpus, and a tumpus.", + "Polly is a numpus, a yumpus, and a tumpus.", + "Polly is a yumpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a grimpus, a yumpus, and a tumpus is a dumpus. Everything that is a grimpus and a yumpus and a tumpus is an impus and a sterpus and a vumpus. Every vumpus is a brimpus. Max is a grimpus. Max is a shumpus. Everything that is a grimpus and a shumpus and a numpus is a gorpus. Sterpuses are dumpuses. Max is a numpus. Max is a gorpus. Max is a grimpus. Max is a yumpus. Max is a tumpus.", + "query": "Prove: Max is an impus.", + "chain_of_thought": [ + "Max is a tumpus.", + "Max is a yumpus.", + "Max is a grimpus.", + "Max is a grimpus, a yumpus, and a tumpus.", + "Everything that is a grimpus and a yumpus and a tumpus is an impus and a sterpus and a vumpus.", + "Max is an impus, a sterpus, and a vumpus.", + "Max is an impus." + ] + }, + "in_context_example5": { + "question": "Each gorpus is a grimpus. Every impus is a lorpus. Each yumpus is a grimpus. Each wumpus is a numpus. Dumpuses are tumpuses. Dumpuses are yumpuses and impuses and sterpuses. Lorpuses are sterpuses. Wumpuses are not sterpuses. Each gorpus is a wumpus. Max is a lorpus. Max is a jompus. Max is a gorpus.", + "query": "Prove: Max is not a dumpus.", + "chain_of_thought": [ + "Max is a gorpus.", + "Each gorpus is a wumpus.", + "Max is a wumpus.", + "Wumpuses are not sterpuses.", + "Max is not a sterpus.\n\n", + "Assume Max is a dumpus.", + "Dumpuses are yumpuses and impuses and sterpuses.", + "Max is a yumpus and an impus and a sterpus.", + "Max is a sterpus.", + "This contradicts with Max is not a sterpus.", + "Max is not a dumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Every lempus is a jompus. Wren is a yumpus. Everything that is a wumpus and a tumpus and a yumpus is a vumpus. Everything that is a tumpus and a lorpus and a gorpus is a sterpus. Everything that is a tumpus and a lorpus and a gorpus is a numpus, a zumpus, and a lempus. Wren is a tumpus. Numpuses are shumpuses. Wren is a wumpus. Wren is a tumpus. Wren is a lorpus. Wren is an impus. Wren is a gorpus.", + "query": "Prove: Wren is a zumpus.", + "chain_of_thought": [ + "Wren is a gorpus.", + "Wren is a lorpus.", + "Wren is a tumpus.", + "Wren is a tumpus and a lorpus and a gorpus.", + "Everything that is a tumpus and a lorpus and a gorpus is a numpus, a zumpus, and a lempus.", + "Wren is a numpus and a zumpus and a lempus.", + "Wren is a zumpus." + ] + }, + "in_context_example7": { + "question": "Every vumpus is a lorpus. Every yumpus is a vumpus and a zumpus and a brimpus. Yumpuses are numpuses. Each brimpus is a shumpus. Everything that is a zumpus or a gorpus or a wumpus is a lorpus. Wren is a dumpus. Wren is a yumpus.", + "query": "Prove: Wren is a zumpus, a rompus, or a sterpus.", + "chain_of_thought": [ + "Wren is a yumpus.", + "Every yumpus is a vumpus and a zumpus and a brimpus.", + "Wren is a vumpus and a zumpus and a brimpus.", + "Wren is a zumpus.", + "Wren is a zumpus or a rompus or a sterpus." + ] + }, + "test_example": { + "question": "Everything that is a tumpus, a rompus, and a grimpus is a lempus. Everything that is a rompus, a lorpus, and a sterpus is a grimpus. Max is a grimpus. Max is a tumpus. Zumpuses are lempuses. Everything that is a rompus, a lorpus, and a sterpus is a zumpus and a jompus and a brimpus. Jompuses are dumpuses. Max is a rompus. Max is a rompus. Max is a yumpus. Max is a lorpus. Max is a sterpus.", + "query": "Prove: Max is a brimpus.", + "chain_of_thought": [ + "Max is a sterpus.", + "Max is a lorpus.", + "Max is a rompus.", + "Max is a rompus and a lorpus and a sterpus.", + "Everything that is a rompus, a lorpus, and a sterpus is a zumpus and a jompus and a brimpus.", + "Max is a zumpus, a jompus, and a brimpus.", + "Max is a brimpus." + ] + } + }, + "example92": { + "in_context_example0": { + "question": "Every vumpus is a rompus. Lempuses are sterpuses. Every grimpus is a lempus, a lorpus, and a vumpus. Everything that is a sterpus, a lorpus, or a dumpus is a gorpus. Every grimpus is a tumpus. Polly is a wumpus. Polly is a grimpus.", + "query": "Prove: Polly is an impus, a lorpus, or a yumpus.", + "chain_of_thought": [ + "Polly is a grimpus.", + "Every grimpus is a lempus, a lorpus, and a vumpus.", + "Polly is a lempus, a lorpus, and a vumpus.", + "Polly is a lorpus.", + "Polly is an impus or a lorpus or a yumpus." + ] + }, + "in_context_example1": { + "question": "Lempuses are brimpuses. Each shumpus is a rompus. Every wumpus is a vumpus. Wumpuses are sterpuses and lempuses and shumpuses. Wren is a rompus. Each tumpus is a lorpus. Rompuses are sterpuses. Shumpuses are lorpuses. Wren is a zumpus, a dumpus, and a vumpus. Wren is a shumpus and Wren is not a sterpus and Wren is a tumpus.", + "query": "Prove: Wren is not a wumpus.", + "chain_of_thought": [ + "Wren is a shumpus, Wren is not a sterpus, and Wren is a tumpus.", + "Wren is not a sterpus.\n\n", + "Assume Wren is a wumpus.", + "Wumpuses are sterpuses and lempuses and shumpuses.", + "Wren is a sterpus and a lempus and a shumpus.", + "Wren is a sterpus.", + "This contradicts with Wren is not a sterpus.", + "Wren is not a wumpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Each dumpus is a jompus. Everything that is a tumpus or a gorpus or a yumpus is a lorpus. Everything that is an impus or a tumpus or a rompus is a numpus. Every vumpus is a lempus. Everything that is an impus, a tumpus, or a rompus is a dumpus, a brimpus, and a vumpus. Polly is a wumpus. Polly is a tumpus.", + "query": "Prove: Polly is a brimpus.", + "chain_of_thought": [ + "Polly is a tumpus.", + "Polly is an impus or a tumpus or a rompus.", + "Everything that is an impus, a tumpus, or a rompus is a dumpus, a brimpus, and a vumpus.", + "Polly is a dumpus, a brimpus, and a vumpus.", + "Polly is a brimpus." + ] + }, + "in_context_example3": { + "question": "Every lempus is a gorpus. Dumpuses are numpuses. Wren is a yumpus. Everything that is a yumpus and a lorpus and a vumpus is a gorpus. Everything that is a yumpus and a lorpus and a vumpus is a numpus. Wren is a lempus. Wren is a jompus. Wren is a tumpus. Everything that is a yumpus, a jompus, and a tumpus is a sterpus. Lorpuses are lempuses. Wren is a sterpus, a jompus, and a numpus. Wren is a dumpus, Wren is a lorpus, and Wren is not a gorpus. Wren is a lorpus. Wren is a vumpus.", + "query": "Prove: Wren is not a yumpus.", + "chain_of_thought": [ + "Wren is a dumpus, Wren is a lorpus, and Wren is not a gorpus.", + "Wren is not a gorpus.", + "Wren is a vumpus.", + "Wren is a lorpus.\n\n", + "Assume Wren is a yumpus.", + "Wren is a yumpus, a lorpus, and a vumpus.", + "Everything that is a yumpus and a lorpus and a vumpus is a gorpus.", + "Wren is a gorpus.", + "This contradicts with Wren is not a gorpus.", + "Wren is not a yumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Everything that is a gorpus or a wumpus or a shumpus is a numpus. Sterpuses are lempuses. Wren is a jompus. Everything that is a grimpus, a zumpus, or a wumpus is a yumpus. Jompuses are yumpuses. Lorpuses are jompuses. Everything that is a grimpus, a zumpus, or a wumpus is a jompus. Wren is a gorpus, a rompus, and a jompus. Wren is not a yumpus, Wren is a lorpus, and Wren is a sterpus.", + "query": "Prove: Wren is not a wumpus.", + "chain_of_thought": [ + "Wren is not a yumpus, Wren is a lorpus, and Wren is a sterpus.", + "Wren is not a yumpus.\n\n", + "Assume Wren is a wumpus.", + "Wren is a grimpus or a zumpus or a wumpus.", + "Everything that is a grimpus, a zumpus, or a wumpus is a yumpus.", + "Wren is a yumpus.", + "This contradicts with Wren is not a yumpus.", + "Wren is not a wumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Jompuses are impuses. Lempuses are brimpuses. Everything that is a shumpus, a grimpus, or a yumpus is a dumpus. Each vumpus is a lempus, a jompus, and a grimpus. Vumpuses are zumpuses. Sally is a shumpus. Sally is a vumpus.", + "query": "Prove: Sally is a rompus, a grimpus, or a lempus.", + "chain_of_thought": [ + "Sally is a vumpus.", + "Each vumpus is a lempus, a jompus, and a grimpus.", + "Sally is a lempus, a jompus, and a grimpus.", + "Sally is a grimpus.", + "Sally is a rompus or a grimpus or a lempus." + ] + }, + "in_context_example6": { + "question": "Fae is a jompus. Fae is an impus. Fae is a zumpus. Everything that is a zumpus, a dumpus, and a shumpus is a brimpus, a gorpus, and a grimpus. Everything that is a zumpus, a dumpus, and a shumpus is a rompus. Grimpuses are jompuses. Everything that is a zumpus and an impus and a jompus is a tumpus. Each gorpus is a tumpus. Fae is a zumpus. Fae is a dumpus. Fae is a vumpus. Fae is a shumpus.", + "query": "Prove: Fae is a brimpus.", + "chain_of_thought": [ + "Fae is a shumpus.", + "Fae is a dumpus.", + "Fae is a zumpus.", + "Fae is a zumpus and a dumpus and a shumpus.", + "Everything that is a zumpus, a dumpus, and a shumpus is a brimpus, a gorpus, and a grimpus.", + "Fae is a brimpus, a gorpus, and a grimpus.", + "Fae is a brimpus." + ] + }, + "in_context_example7": { + "question": "Each zumpus is a wumpus. Rex is a vumpus. Impuses are yumpuses. Rex is a shumpus. Rex is a rompus. Rex is an impus. Everything that is a shumpus, a vumpus, and a rompus is a brimpus. Each zumpus is a sterpus. Everything that is a vumpus, a grimpus, and a lorpus is a yumpus. Wumpuses are not yumpuses. Every wumpus is a numpus. Everything that is a vumpus, a grimpus, and a lorpus is a sterpus. Rex is a zumpus. Rex is a sterpus. Rex is a vumpus. Rex is a grimpus.", + "query": "Prove: Rex is not a lorpus.", + "chain_of_thought": [ + "Rex is a zumpus.", + "Each zumpus is a wumpus.", + "Rex is a wumpus.", + "Wumpuses are not yumpuses.", + "Rex is not a yumpus.\n\n", + "Assume Rex is a lorpus.", + "Rex is a grimpus.", + "Rex is a vumpus.", + "Rex is a vumpus and a grimpus and a lorpus.", + "Everything that is a vumpus, a grimpus, and a lorpus is a yumpus.", + "Rex is a yumpus.", + "This contradicts with Rex is not a yumpus.", + "Rex is not a lorpus.\n\n" + ] + }, + "test_example": { + "question": "Impuses are wumpuses. Every jompus is a shumpus. Everything that is a vumpus or a numpus or a lorpus is a wumpus. Every jompus is a numpus. Yumpuses are brimpuses. Alex is a grimpus and a zumpus and a shumpus. Alex is a yumpus and a jompus and an impus.", + "query": "Prove: Alex is a jompus, a sterpus, or a numpus.", + "chain_of_thought": [ + "Alex is a yumpus and a jompus and an impus.", + "Alex is a jompus.", + "Every jompus is a numpus.", + "Alex is a numpus.", + "Alex is a jompus or a sterpus or a numpus." + ] + } + }, + "example93": { + "in_context_example0": { + "question": "Each sterpus is a tumpus. Yumpuses are shumpuses and lempuses and sterpuses. Every lempus is a rompus. Each yumpus is a wumpus. Everything that is a dumpus or a shumpus or a grimpus is a zumpus. Rex is a jompus. Rex is a yumpus.", + "query": "Prove: Rex is a gorpus, a brimpus, or a shumpus.", + "chain_of_thought": [ + "Rex is a yumpus.", + "Yumpuses are shumpuses and lempuses and sterpuses.", + "Rex is a shumpus and a lempus and a sterpus.", + "Rex is a shumpus.", + "Rex is a gorpus or a brimpus or a shumpus." + ] + }, + "in_context_example1": { + "question": "Gorpuses are brimpuses. Everything that is a numpus, a grimpus, or an impus is a vumpus. Each lorpus is a grimpus. Each gorpus is a lorpus and a numpus and a tumpus. Each tumpus is a brimpus. Sam is a grimpus. Sam is a gorpus.", + "query": "Prove: Sam is a wumpus or a numpus or a sterpus.", + "chain_of_thought": [ + "Sam is a gorpus.", + "Each gorpus is a lorpus and a numpus and a tumpus.", + "Sam is a lorpus, a numpus, and a tumpus.", + "Sam is a numpus.", + "Sam is a wumpus or a numpus or a sterpus." + ] + }, + "in_context_example2": { + "question": "Zumpuses are tumpuses. Everything that is a yumpus and a grimpus and an impus is a tumpus. Rex is an impus. Everything that is a yumpus and a shumpus and a numpus is a gorpus. Rex is a grimpus. Rex is a yumpus. Dumpuses are vumpuses. Everything that is a yumpus, a shumpus, and a numpus is a dumpus, a zumpus, and a wumpus. Rex is a gorpus. Rex is a yumpus. Rex is a shumpus. Rex is a numpus.", + "query": "Prove: Rex is a wumpus.", + "chain_of_thought": [ + "Rex is a numpus.", + "Rex is a shumpus.", + "Rex is a yumpus.", + "Rex is a yumpus, a shumpus, and a numpus.", + "Everything that is a yumpus, a shumpus, and a numpus is a dumpus, a zumpus, and a wumpus.", + "Rex is a dumpus and a zumpus and a wumpus.", + "Rex is a wumpus." + ] + }, + "in_context_example3": { + "question": "Each vumpus is a gorpus. Max is an impus. Everything that is an impus, a shumpus, and a numpus is a vumpus, a lorpus, and a yumpus. Everything that is an impus, a shumpus, and a numpus is a gorpus. Everything that is an impus, a dumpus, and a zumpus is a wumpus. Max is a dumpus. Lorpuses are lempuses. Max is a zumpus. Max is a dumpus. Max is an impus. Max is a shumpus. Max is a numpus.", + "query": "Prove: Max is a yumpus.", + "chain_of_thought": [ + "Max is a numpus.", + "Max is a shumpus.", + "Max is an impus.", + "Max is an impus, a shumpus, and a numpus.", + "Everything that is an impus, a shumpus, and a numpus is a vumpus, a lorpus, and a yumpus.", + "Max is a vumpus and a lorpus and a yumpus.", + "Max is a yumpus." + ] + }, + "in_context_example4": { + "question": "Grimpuses are jompuses. Everything that is a rompus and a vumpus and a numpus is a dumpus and a tumpus and a grimpus. Fae is a rompus. Fae is a wumpus. Fae is a lorpus. Dumpuses are lempuses. Everything that is a rompus, a vumpus, and a numpus is a wumpus. Everything that is a lorpus, a rompus, and a wumpus is a lempus. Fae is an impus. Fae is a rompus. Fae is a vumpus. Fae is a numpus.", + "query": "Prove: Fae is a tumpus.", + "chain_of_thought": [ + "Fae is a numpus.", + "Fae is a vumpus.", + "Fae is a rompus.", + "Fae is a rompus, a vumpus, and a numpus.", + "Everything that is a rompus and a vumpus and a numpus is a dumpus and a tumpus and a grimpus.", + "Fae is a dumpus and a tumpus and a grimpus.", + "Fae is a tumpus." + ] + }, + "in_context_example5": { + "question": "Vumpuses are jompuses and dumpuses and lorpuses. Everything that is a numpus, a jompus, or a rompus is a lempus. Every vumpus is a tumpus. Dumpuses are numpuses. Each lorpus is a tumpus. Sam is a gorpus. Sam is a vumpus.", + "query": "Prove: Sam is a lorpus or a jompus or a sterpus.", + "chain_of_thought": [ + "Sam is a vumpus.", + "Vumpuses are jompuses and dumpuses and lorpuses.", + "Sam is a jompus, a dumpus, and a lorpus.", + "Sam is a jompus.", + "Sam is a lorpus or a jompus or a sterpus." + ] + }, + "in_context_example6": { + "question": "Each lorpus is a dumpus. Numpuses are lempuses, zumpuses, and lorpuses. Numpuses are impuses. Everything that is a wumpus or a lempus or a sterpus is a yumpus. Every zumpus is a jompus. Max is a yumpus. Max is a numpus.", + "query": "Prove: Max is a gorpus, a lempus, or a tumpus.", + "chain_of_thought": [ + "Max is a numpus.", + "Numpuses are lempuses, zumpuses, and lorpuses.", + "Max is a lempus and a zumpus and a lorpus.", + "Max is a lempus.", + "Max is a gorpus, a lempus, or a tumpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a shumpus, a vumpus, or a brimpus is not a rompus. Everything that is a numpus and a yumpus and a grimpus is a rompus. Everything that is a numpus and a yumpus and a grimpus is a jompus. Everything that is a numpus, a lorpus, and a lempus is a gorpus. Rex is a lempus. Everything that is a shumpus or a vumpus or a brimpus is a sterpus. Each tumpus is a rompus. Rex is a numpus. Rex is a tumpus. Rex is a lorpus. Everything that is a shumpus, an impus, or a sterpus is a lempus. Rex is a shumpus. Rex is a jompus. Rex is a numpus. Rex is a yumpus.", + "query": "Prove: Rex is not a grimpus.", + "chain_of_thought": [ + "Rex is a shumpus.", + "Rex is a shumpus or a vumpus or a brimpus.", + "Everything that is a shumpus, a vumpus, or a brimpus is not a rompus.", + "Rex is not a rompus.\n\n", + "Assume Rex is a grimpus.", + "Rex is a yumpus.", + "Rex is a numpus.", + "Rex is a numpus, a yumpus, and a grimpus.", + "Everything that is a numpus and a yumpus and a grimpus is a rompus.", + "Rex is a rompus.", + "This contradicts with Rex is not a rompus.", + "Rex is not a grimpus.\n\n" + ] + }, + "test_example": { + "question": "Alex is a numpus. Every yumpus is an impus and a wumpus and a tumpus. Every tumpus is a dumpus. Alex is a rompus. Alex is a grimpus. Everything that is a grimpus and a brimpus and a vumpus is a gorpus. Wumpuses are zumpuses. Yumpuses are dumpuses. Every rompus is an impus. Everything that is a grimpus, a brimpus, and a vumpus is not an impus. Alex is a jompus. Everything that is a numpus and a grimpus and a jompus is a gorpus. Alex is a grimpus. Alex is a rompus. Alex is a brimpus. Alex is a vumpus.", + "query": "Prove: Alex is not a yumpus.", + "chain_of_thought": [ + "Alex is a vumpus.", + "Alex is a brimpus.", + "Alex is a grimpus.", + "Alex is a grimpus and a brimpus and a vumpus.", + "Everything that is a grimpus, a brimpus, and a vumpus is not an impus.", + "Alex is not an impus.\n\n", + "Assume Alex is a yumpus.", + "Every yumpus is an impus and a wumpus and a tumpus.", + "Alex is an impus, a wumpus, and a tumpus.", + "Alex is an impus.", + "This contradicts with Alex is not an impus.", + "Alex is not a yumpus.\n\n" + ] + } + }, + "example94": { + "in_context_example0": { + "question": "Everything that is an impus or a brimpus or a lempus is a rompus. Shumpuses are gorpuses and jompuses and impuses. Each jompus is a yumpus. Each shumpus is a yumpus. Each gorpus is a numpus. Alex is a zumpus. Alex is a shumpus.", + "query": "Prove: Alex is a tumpus, a gorpus, or an impus.", + "chain_of_thought": [ + "Alex is a shumpus.", + "Shumpuses are gorpuses and jompuses and impuses.", + "Alex is a gorpus and a jompus and an impus.", + "Alex is an impus.", + "Alex is a tumpus or a gorpus or an impus." + ] + }, + "in_context_example1": { + "question": "Everything that is a brimpus, a lorpus, or a wumpus is a rompus. Vumpuses are gorpuses. Everything that is a jompus or a brimpus or a yumpus is a numpus. Everything that is a brimpus or a lorpus or a wumpus is a vumpus and a zumpus and a dumpus. Zumpuses are tumpuses. Wren is an impus. Wren is a brimpus.", + "query": "Prove: Wren is a dumpus.", + "chain_of_thought": [ + "Wren is a brimpus.", + "Wren is a brimpus, a lorpus, or a wumpus.", + "Everything that is a brimpus or a lorpus or a wumpus is a vumpus and a zumpus and a dumpus.", + "Wren is a vumpus, a zumpus, and a dumpus.", + "Wren is a dumpus." + ] + }, + "in_context_example2": { + "question": "Every zumpus is a rompus. Each sterpus is a grimpus. Brimpuses are tumpuses. Sterpuses are brimpuses and yumpuses and zumpuses. Everything that is a yumpus or a wumpus or a grimpus is a dumpus. Max is a wumpus. Max is a sterpus.", + "query": "Prove: Max is a shumpus or an impus or a yumpus.", + "chain_of_thought": [ + "Max is a sterpus.", + "Sterpuses are brimpuses and yumpuses and zumpuses.", + "Max is a brimpus, a yumpus, and a zumpus.", + "Max is a yumpus.", + "Max is a shumpus or an impus or a yumpus." + ] + }, + "in_context_example3": { + "question": "Everything that is a zumpus, a yumpus, or a vumpus is a dumpus. Everything that is a jompus or a yumpus or a numpus is a shumpus, an impus, and a sterpus. Everything that is a jompus or a yumpus or a numpus is a brimpus. Shumpuses are dumpuses. Impuses are wumpuses. Sally is a tumpus. Sally is a yumpus.", + "query": "Prove: Sally is a sterpus.", + "chain_of_thought": [ + "Sally is a yumpus.", + "Sally is a jompus or a yumpus or a numpus.", + "Everything that is a jompus or a yumpus or a numpus is a shumpus, an impus, and a sterpus.", + "Sally is a shumpus, an impus, and a sterpus.", + "Sally is a sterpus." + ] + }, + "in_context_example4": { + "question": "Every impus is a jompus. Everything that is a jompus or a numpus or a shumpus is a dumpus. Every tumpus is a numpus. Every sterpus is a vumpus. Every impus is a yumpus. Alex is a numpus and a shumpus and a wumpus. Alex is an impus, a tumpus, and a sterpus.", + "query": "Prove: Alex is a jompus, a rompus, or a brimpus.", + "chain_of_thought": [ + "Alex is an impus and a tumpus and a sterpus.", + "Alex is an impus.", + "Every impus is a jompus.", + "Alex is a jompus.", + "Alex is a jompus or a rompus or a brimpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a grimpus or a gorpus or a lempus is a wumpus. Numpuses are wumpuses. Each tumpus is a numpus. Each brimpus is a rompus. Everything that is a grimpus, a gorpus, or a lempus is an impus. Wren is a numpus. Everything that is a gorpus, an impus, or a dumpus is a jompus. Wren is a sterpus, a numpus, and a shumpus. Wren is a brimpus, Wren is not a wumpus, and Wren is a tumpus.", + "query": "Prove: Wren is not a gorpus.", + "chain_of_thought": [ + "Wren is a brimpus, Wren is not a wumpus, and Wren is a tumpus.", + "Wren is not a wumpus.\n\n", + "Assume Wren is a gorpus.", + "Wren is a grimpus or a gorpus or a lempus.", + "Everything that is a grimpus or a gorpus or a lempus is a wumpus.", + "Wren is a wumpus.", + "This contradicts with Wren is not a wumpus.", + "Wren is not a gorpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Numpuses are lorpuses. Stella is a yumpus. Every lorpus is a brimpus. Stella is a dumpus. Sterpuses are rompuses. Stella is a gorpus. Everything that is a gorpus and a dumpus and a yumpus is a grimpus. Everything that is a gorpus and a zumpus and a wumpus is a grimpus. Everything that is a gorpus and a zumpus and a wumpus is a brimpus. Stella is a lorpus. Stella is a numpus and Stella is a sterpus and Stella is not a brimpus. Stella is a gorpus. Stella is a shumpus, an impus, and a tumpus. Stella is a wumpus.", + "query": "Prove: Stella is not a zumpus.", + "chain_of_thought": [ + "Stella is a numpus, Stella is a sterpus, and Stella is not a brimpus.", + "Stella is not a brimpus.", + "Stella is a wumpus.\n\n", + "Assume Stella is a zumpus.", + "Stella is a gorpus.", + "Stella is a gorpus, a zumpus, and a wumpus.", + "Everything that is a gorpus and a zumpus and a wumpus is a brimpus.", + "Stella is a brimpus.", + "This contradicts with Stella is not a brimpus.", + "Stella is not a zumpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Every shumpus is a rompus. Everything that is a numpus and a grimpus and a sterpus is a zumpus. Everything that is a grimpus and a lorpus and a lempus is a wumpus. Alex is a numpus. Alex is a sterpus. Jompuses are sterpuses. Everything that is a grimpus and a lorpus and a lempus is a yumpus and a jompus and a shumpus. Alex is a grimpus. Alex is a rompus. Alex is a grimpus. Alex is a lorpus. Alex is a lempus.", + "query": "Prove: Alex is a yumpus.", + "chain_of_thought": [ + "Alex is a lempus.", + "Alex is a lorpus.", + "Alex is a grimpus.", + "Alex is a grimpus and a lorpus and a lempus.", + "Everything that is a grimpus and a lorpus and a lempus is a yumpus and a jompus and a shumpus.", + "Alex is a yumpus and a jompus and a shumpus.", + "Alex is a yumpus." + ] + }, + "test_example": { + "question": "Each sterpus is a wumpus. Grimpuses are tumpuses. Everything that is a gorpus, an impus, or a shumpus is a rompus. Brimpuses are sterpuses and gorpuses and grimpuses. Brimpuses are lempuses. Sam is a yumpus. Sam is a brimpus.", + "query": "Prove: Sam is a gorpus, a dumpus, or a sterpus.", + "chain_of_thought": [ + "Sam is a brimpus.", + "Brimpuses are sterpuses and gorpuses and grimpuses.", + "Sam is a sterpus, a gorpus, and a grimpus.", + "Sam is a gorpus.", + "Sam is a gorpus or a dumpus or a sterpus." + ] + } + }, + "example95": { + "in_context_example0": { + "question": "Every lempus is a wumpus. Fae is a wumpus. Every tumpus is a gorpus. Jompuses are wumpuses. Brimpuses are shumpuses. Each wumpus is a rompus. Each zumpus is a grimpus. Each zumpus is a lempus, a rompus, and a brimpus. Fae is a sterpus, a lorpus, and an impus. Fae is not a rompus, Fae is a jompus, and Fae is a tumpus.", + "query": "Prove: Fae is not a zumpus.", + "chain_of_thought": [ + "Fae is not a rompus, Fae is a jompus, and Fae is a tumpus.", + "Fae is not a rompus.\n\n", + "Assume Fae is a zumpus.", + "Each zumpus is a lempus, a rompus, and a brimpus.", + "Fae is a lempus and a rompus and a brimpus.", + "Fae is a rompus.", + "This contradicts with Fae is not a rompus.", + "Fae is not a zumpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Rex is a shumpus. Each dumpus is a grimpus. Everything that is a zumpus and a brimpus and a jompus is a lorpus. Rex is a zumpus. Everything that is a zumpus, a brimpus, and a jompus is a rompus and a dumpus and a lempus. Everything that is a shumpus, a zumpus, and a tumpus is a grimpus. Rex is a tumpus. Every rompus is a shumpus. Rex is a zumpus. Rex is a brimpus. Rex is a vumpus. Rex is a jompus.", + "query": "Prove: Rex is a lempus.", + "chain_of_thought": [ + "Rex is a jompus.", + "Rex is a brimpus.", + "Rex is a zumpus.", + "Rex is a zumpus, a brimpus, and a jompus.", + "Everything that is a zumpus, a brimpus, and a jompus is a rompus and a dumpus and a lempus.", + "Rex is a rompus, a dumpus, and a lempus.", + "Rex is a lempus." + ] + }, + "in_context_example2": { + "question": "Every shumpus is a wumpus. Sam is a jompus. Sam is a vumpus. Everything that is a tumpus, a sterpus, and a rompus is a shumpus and a numpus and a yumpus. Sam is a tumpus. Every numpus is a grimpus. Everything that is a tumpus and a sterpus and a rompus is a dumpus. Everything that is a jompus, a tumpus, and a vumpus is a lempus. Sam is a tumpus. Sam is a zumpus. Sam is a sterpus. Sam is a rompus.", + "query": "Prove: Sam is a yumpus.", + "chain_of_thought": [ + "Sam is a rompus.", + "Sam is a sterpus.", + "Sam is a tumpus.", + "Sam is a tumpus, a sterpus, and a rompus.", + "Everything that is a tumpus, a sterpus, and a rompus is a shumpus and a numpus and a yumpus.", + "Sam is a shumpus, a numpus, and a yumpus.", + "Sam is a yumpus." + ] + }, + "in_context_example3": { + "question": "Each vumpus is a rompus. Everything that is a zumpus, a numpus, or a lorpus is a rompus. Vumpuses are tumpuses and zumpuses and jompuses. Every jompus is a grimpus. Each tumpus is a wumpus. Alex is a gorpus. Alex is a vumpus.", + "query": "Prove: Alex is an impus, a zumpus, or a jompus.", + "chain_of_thought": [ + "Alex is a vumpus.", + "Vumpuses are tumpuses and zumpuses and jompuses.", + "Alex is a tumpus, a zumpus, and a jompus.", + "Alex is a zumpus.", + "Alex is an impus, a zumpus, or a jompus." + ] + }, + "in_context_example4": { + "question": "Dumpuses are grimpuses and numpuses and gorpuses. Every numpus is a zumpus. Gorpuses are lempuses. Everything that is a grimpus or a rompus or a jompus is a sterpus. Each dumpus is a vumpus. Polly is a sterpus. Polly is a dumpus.", + "query": "Prove: Polly is a brimpus, a grimpus, or a tumpus.", + "chain_of_thought": [ + "Polly is a dumpus.", + "Dumpuses are grimpuses and numpuses and gorpuses.", + "Polly is a grimpus and a numpus and a gorpus.", + "Polly is a grimpus.", + "Polly is a brimpus, a grimpus, or a tumpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a gorpus, a rompus, and an impus is a shumpus. Fae is an impus. Fae is a gorpus. Everything that is a rompus, a yumpus, and a zumpus is a wumpus. Grimpuses are lempuses. Everything that is a rompus, a yumpus, and a zumpus is a grimpus and a vumpus and a sterpus. Fae is a rompus. Every vumpus is a numpus. Fae is a rompus. Fae is a numpus. Fae is a yumpus. Fae is a zumpus.", + "query": "Prove: Fae is a sterpus.", + "chain_of_thought": [ + "Fae is a zumpus.", + "Fae is a yumpus.", + "Fae is a rompus.", + "Fae is a rompus and a yumpus and a zumpus.", + "Everything that is a rompus, a yumpus, and a zumpus is a grimpus and a vumpus and a sterpus.", + "Fae is a grimpus, a vumpus, and a sterpus.", + "Fae is a sterpus." + ] + }, + "in_context_example6": { + "question": "Sam is a lempus. Shumpuses are grimpuses. Sam is a brimpus. Sam is a vumpus. Everything that is a brimpus, a vumpus, and a lempus is a wumpus. Everything that is a brimpus, a sterpus, and a yumpus is a shumpus and an impus and a gorpus. Every gorpus is a lorpus. Everything that is a brimpus and a sterpus and a yumpus is a rompus. Sam is a brimpus. Sam is a sterpus. Sam is a lempus. Sam is a yumpus.", + "query": "Prove: Sam is an impus.", + "chain_of_thought": [ + "Sam is a yumpus.", + "Sam is a sterpus.", + "Sam is a brimpus.", + "Sam is a brimpus, a sterpus, and a yumpus.", + "Everything that is a brimpus, a sterpus, and a yumpus is a shumpus and an impus and a gorpus.", + "Sam is a shumpus, an impus, and a gorpus.", + "Sam is an impus." + ] + }, + "in_context_example7": { + "question": "Every yumpus is a vumpus. Everything that is a tumpus or a lorpus or a shumpus is a zumpus. Everything that is a shumpus, a grimpus, or a lempus is a zumpus. Everything that is a tumpus, a lorpus, or a shumpus is a yumpus, a jompus, and a gorpus. Every gorpus is a numpus. Fae is a dumpus. Fae is a shumpus.", + "query": "Prove: Fae is a jompus.", + "chain_of_thought": [ + "Fae is a shumpus.", + "Fae is a tumpus, a lorpus, or a shumpus.", + "Everything that is a tumpus, a lorpus, or a shumpus is a yumpus, a jompus, and a gorpus.", + "Fae is a yumpus, a jompus, and a gorpus.", + "Fae is a jompus." + ] + }, + "test_example": { + "question": "Everything that is an impus, a rompus, or a numpus is a shumpus. Everything that is an impus, a rompus, or a numpus is a gorpus and a lempus and a jompus. Each jompus is a shumpus. Everything that is a dumpus, a rompus, or a tumpus is a wumpus. Lempuses are yumpuses. Max is a grimpus. Max is a rompus.", + "query": "Prove: Max is a gorpus.", + "chain_of_thought": [ + "Max is a rompus.", + "Max is an impus, a rompus, or a numpus.", + "Everything that is an impus, a rompus, or a numpus is a gorpus and a lempus and a jompus.", + "Max is a gorpus and a lempus and a jompus.", + "Max is a gorpus." + ] + } + }, + "example96": { + "in_context_example0": { + "question": "Everything that is a shumpus, a wumpus, or a lempus is a jompus. Dumpuses are yumpuses. Lorpuses are sterpuses. Tumpuses are sterpuses. Tumpuses are lorpuses and wumpuses and dumpuses. Sam is a numpus. Sam is a tumpus.", + "query": "Prove: Sam is a wumpus or a dumpus or a rompus.", + "chain_of_thought": [ + "Sam is a tumpus.", + "Tumpuses are lorpuses and wumpuses and dumpuses.", + "Sam is a lorpus and a wumpus and a dumpus.", + "Sam is a wumpus.", + "Sam is a wumpus or a dumpus or a rompus." + ] + }, + "in_context_example1": { + "question": "Alex is an impus. Wumpuses are vumpuses. Everything that is a rompus and an impus and a tumpus is a shumpus. Alex is a rompus. Everything that is a rompus, a yumpus, and a brimpus is a lempus, a wumpus, and a dumpus. Everything that is a rompus and a yumpus and a brimpus is a vumpus. Every lempus is a gorpus. Alex is a tumpus. Alex is a rompus. Alex is a yumpus. Alex is a sterpus. Alex is a brimpus.", + "query": "Prove: Alex is a dumpus.", + "chain_of_thought": [ + "Alex is a brimpus.", + "Alex is a yumpus.", + "Alex is a rompus.", + "Alex is a rompus and a yumpus and a brimpus.", + "Everything that is a rompus, a yumpus, and a brimpus is a lempus, a wumpus, and a dumpus.", + "Alex is a lempus, a wumpus, and a dumpus.", + "Alex is a dumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is an impus, a gorpus, and a yumpus is a sterpus and a wumpus and a numpus. Everything that is an impus and a gorpus and a yumpus is a lempus. Wren is a vumpus. Everything that is a dumpus, an impus, and a vumpus is a brimpus. Each wumpus is a lorpus. Wren is a dumpus. Wren is an impus. Each sterpus is a dumpus. Wren is an impus. Wren is a zumpus. Wren is a gorpus. Wren is a yumpus.", + "query": "Prove: Wren is a numpus.", + "chain_of_thought": [ + "Wren is a yumpus.", + "Wren is a gorpus.", + "Wren is an impus.", + "Wren is an impus and a gorpus and a yumpus.", + "Everything that is an impus, a gorpus, and a yumpus is a sterpus and a wumpus and a numpus.", + "Wren is a sterpus and a wumpus and a numpus.", + "Wren is a numpus." + ] + }, + "in_context_example3": { + "question": "Each wumpus is a tumpus. Sam is a rompus. Sam is a vumpus. Everything that is a vumpus and a yumpus and a grimpus is a brimpus, a dumpus, and a wumpus. Everything that is a vumpus, a yumpus, and a grimpus is a sterpus. Sam is a lorpus. Everything that is a rompus and a vumpus and a lorpus is a sterpus. Dumpuses are impuses. Sam is a vumpus. Sam is a lorpus. Sam is a yumpus. Sam is a grimpus.", + "query": "Prove: Sam is a brimpus.", + "chain_of_thought": [ + "Sam is a grimpus.", + "Sam is a yumpus.", + "Sam is a vumpus.", + "Sam is a vumpus and a yumpus and a grimpus.", + "Everything that is a vumpus and a yumpus and a grimpus is a brimpus, a dumpus, and a wumpus.", + "Sam is a brimpus, a dumpus, and a wumpus.", + "Sam is a brimpus." + ] + }, + "in_context_example4": { + "question": "Tumpuses are gorpuses. Sterpuses are not gorpuses. Everything that is a lorpus, a yumpus, or a dumpus is a gorpus. Every sterpus is a zumpus. Wumpuses are tumpuses. Everything that is a numpus, a lorpus, or a brimpus is a tumpus. Sally is a tumpus. Everything that is a lorpus, a yumpus, or a dumpus is an impus. Wumpuses are sterpuses. Sally is a lempus. Sally is a wumpus.", + "query": "Prove: Sally is not a lorpus.", + "chain_of_thought": [ + "Sally is a wumpus.", + "Wumpuses are sterpuses.", + "Sally is a sterpus.", + "Sterpuses are not gorpuses.", + "Sally is not a gorpus.\n\n", + "Assume Sally is a lorpus.", + "Sally is a lorpus, a yumpus, or a dumpus.", + "Everything that is a lorpus, a yumpus, or a dumpus is a gorpus.", + "Sally is a gorpus.", + "This contradicts with Sally is not a gorpus.", + "Sally is not a lorpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Each dumpus is a zumpus. Everything that is a numpus and a rompus and a shumpus is a wumpus. Grimpuses are jompuses. Max is a grimpus. Max is a shumpus. Max is a numpus. Everything that is a rompus, an impus, and a sterpus is a jompus. Max is a rompus. Everything that is a rompus, an impus, and a sterpus is a zumpus. Each vumpus is a numpus. Max is a dumpus, Max is a vumpus, and Max is not a jompus. Max is a tumpus and a numpus and a lorpus. Max is a rompus. Max is an impus.", + "query": "Prove: Max is not a sterpus.", + "chain_of_thought": [ + "Max is a dumpus and Max is a vumpus and Max is not a jompus.", + "Max is not a jompus.\n\n", + "Assume Max is a sterpus.", + "Max is an impus.", + "Max is a rompus.", + "Max is a rompus and an impus and a sterpus.", + "Everything that is a rompus, an impus, and a sterpus is a jompus.", + "Max is a jompus.", + "This contradicts with Max is not a jompus.", + "Max is not a sterpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Yumpuses are gorpuses. Fae is a yumpus. Lorpuses are gorpuses and impuses and lempuses. Every impus is a grimpus. Every lempus is a jompus. Every lempus is a zumpus. Lorpuses are zumpuses. Each dumpus is a vumpus. Fae is a zumpus and a rompus and a brimpus. Fae is not a gorpus, Fae is a dumpus, and Fae is a lempus.", + "query": "Prove: Fae is not a lorpus.", + "chain_of_thought": [ + "Fae is not a gorpus, Fae is a dumpus, and Fae is a lempus.", + "Fae is not a gorpus.\n\n", + "Assume Fae is a lorpus.", + "Lorpuses are gorpuses and impuses and lempuses.", + "Fae is a gorpus, an impus, and a lempus.", + "Fae is a gorpus.", + "This contradicts with Fae is not a gorpus.", + "Fae is not a lorpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Fae is a grimpus. Everything that is a rompus, a numpus, and a grimpus is a vumpus. Everything that is a rompus, a yumpus, and a shumpus is a wumpus. Everything that is a rompus and a yumpus and a shumpus is a gorpus. Fae is a lempus. Fae is a numpus. Every jompus is a vumpus. Lempuses are gorpuses. Fae is a rompus. Impuses are lempuses. Fae is a grimpus and a sterpus and a numpus. Fae is a jompus and Fae is not a gorpus and Fae is an impus. Fae is a rompus. Fae is a shumpus.", + "query": "Prove: Fae is not a yumpus.", + "chain_of_thought": [ + "Fae is a jompus and Fae is not a gorpus and Fae is an impus.", + "Fae is not a gorpus.", + "Fae is a shumpus.\n\n", + "Assume Fae is a yumpus.", + "Fae is a rompus.", + "Fae is a rompus, a yumpus, and a shumpus.", + "Everything that is a rompus and a yumpus and a shumpus is a gorpus.", + "Fae is a gorpus.", + "This contradicts with Fae is not a gorpus.", + "Fae is not a yumpus.\n\n" + ] + }, + "test_example": { + "question": "Everything that is a shumpus and a lempus and an impus is a jompus and a yumpus and a brimpus. Everything that is a shumpus and a lempus and an impus is a rompus. Rex is a shumpus. Jompuses are tumpuses. Everything that is a lorpus and a shumpus and a rompus is a dumpus. Rex is a lorpus. Rex is a rompus. Every yumpus is a vumpus. Rex is a vumpus. Rex is a shumpus. Rex is a lempus. Rex is an impus.", + "query": "Prove: Rex is a brimpus.", + "chain_of_thought": [ + "Rex is an impus.", + "Rex is a lempus.", + "Rex is a shumpus.", + "Rex is a shumpus and a lempus and an impus.", + "Everything that is a shumpus and a lempus and an impus is a jompus and a yumpus and a brimpus.", + "Rex is a jompus, a yumpus, and a brimpus.", + "Rex is a brimpus." + ] + } + }, + "example97": { + "in_context_example0": { + "question": "Everything that is a tumpus, a rompus, or a sterpus is a dumpus. Everything that is a tumpus, a rompus, or a sterpus is a yumpus. Shumpuses are jompuses. Everything that is a rompus, a gorpus, or a lorpus is an impus. Lempuses are gorpuses. Stella is a numpus, a gorpus, and a grimpus. Stella is a lempus and a shumpus and a rompus.", + "query": "Prove: Stella is a yumpus.", + "chain_of_thought": [ + "Stella is a lempus and a shumpus and a rompus.", + "Stella is a rompus.", + "Stella is a tumpus, a rompus, or a sterpus.", + "Everything that is a tumpus, a rompus, or a sterpus is a yumpus.", + "Stella is a yumpus." + ] + }, + "in_context_example1": { + "question": "Sterpuses are jompuses, rompuses, and zumpuses. Each impus is a wumpus. Fae is a gorpus. Every lorpus is a tumpus. Every rompus is a tumpus. Each jompus is a grimpus. Every sterpus is a tumpus. Every gorpus is a zumpus. Fae is a brimpus and a gorpus and a vumpus. Fae is not a zumpus and Fae is an impus and Fae is a lorpus.", + "query": "Prove: Fae is not a sterpus.", + "chain_of_thought": [ + "Fae is not a zumpus and Fae is an impus and Fae is a lorpus.", + "Fae is not a zumpus.\n\n", + "Assume Fae is a sterpus.", + "Sterpuses are jompuses, rompuses, and zumpuses.", + "Fae is a jompus, a rompus, and a zumpus.", + "Fae is a zumpus.", + "This contradicts with Fae is not a zumpus.", + "Fae is not a sterpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Max is a numpus. Max is a grimpus. Everything that is a rompus and a yumpus and a lorpus is a sterpus. Everything that is a rompus, a grimpus, and a numpus is a dumpus. Max is a rompus. Everything that is a sterpus, a tumpus, or a wumpus is a dumpus. Everything that is a rompus and a yumpus and a lorpus is an impus. Max is a rompus. Max is a yumpus. Max is a jompus. Max is a lorpus.", + "query": "Prove: Max is a brimpus, a sterpus, or a shumpus.", + "chain_of_thought": [ + "Max is a lorpus.", + "Max is a yumpus.", + "Max is a rompus.", + "Max is a rompus, a yumpus, and a lorpus.", + "Everything that is a rompus and a yumpus and a lorpus is a sterpus.", + "Max is a sterpus.", + "Max is a brimpus, a sterpus, or a shumpus." + ] + }, + "in_context_example3": { + "question": "Dumpuses are gorpuses. Everything that is a rompus or a vumpus or a yumpus is a sterpus and a dumpus and a tumpus. Everything that is a brimpus, a yumpus, or a gorpus is a jompus. Sterpuses are brimpuses. Everything that is a rompus or a vumpus or a yumpus is a brimpus. Alex is an impus. Alex is a yumpus.", + "query": "Prove: Alex is a tumpus.", + "chain_of_thought": [ + "Alex is a yumpus.", + "Alex is a rompus or a vumpus or a yumpus.", + "Everything that is a rompus or a vumpus or a yumpus is a sterpus and a dumpus and a tumpus.", + "Alex is a sterpus, a dumpus, and a tumpus.", + "Alex is a tumpus." + ] + }, + "in_context_example4": { + "question": "Everything that is a zumpus or a tumpus or a numpus is a rompus. Wumpuses are brimpuses. Sam is a dumpus. Everything that is a lempus, a yumpus, or a zumpus is a vumpus. Dumpuses are vumpuses. Everything that is a lempus or a yumpus or a zumpus is a gorpus. Each grimpus is a numpus. Sam is an impus and a brimpus and a lorpus. Sam is a grimpus, Sam is not a vumpus, and Sam is a wumpus.", + "query": "Prove: Sam is not a zumpus.", + "chain_of_thought": [ + "Sam is a grimpus and Sam is not a vumpus and Sam is a wumpus.", + "Sam is not a vumpus.\n\n", + "Assume Sam is a zumpus.", + "Sam is a lempus, a yumpus, or a zumpus.", + "Everything that is a lempus, a yumpus, or a zumpus is a vumpus.", + "Sam is a vumpus.", + "This contradicts with Sam is not a vumpus.", + "Sam is not a zumpus.\n\n" + ] + }, + "in_context_example5": { + "question": "Everything that is a sterpus and a rompus and a gorpus is not an impus. Everything that is a lorpus, a sterpus, and a vumpus is a grimpus. Grimpuses are impuses. Everything that is a sterpus, a rompus, and a gorpus is a lorpus. Every yumpus is a numpus, a brimpus, and an impus. Sam is a vumpus. Numpuses are shumpuses. Every yumpus is a shumpus. Sam is a grimpus. Sam is a sterpus. Brimpuses are tumpuses. Sam is a lorpus. Sam is a lorpus. Sam is a sterpus. Sam is a rompus. Sam is a gorpus.", + "query": "Prove: Sam is not a yumpus.", + "chain_of_thought": [ + "Sam is a gorpus.", + "Sam is a rompus.", + "Sam is a sterpus.", + "Sam is a sterpus and a rompus and a gorpus.", + "Everything that is a sterpus and a rompus and a gorpus is not an impus.", + "Sam is not an impus.\n\n", + "Assume Sam is a yumpus.", + "Every yumpus is a numpus, a brimpus, and an impus.", + "Sam is a numpus, a brimpus, and an impus.", + "Sam is an impus.", + "This contradicts with Sam is not an impus.", + "Sam is not a yumpus.\n\n" + ] + }, + "in_context_example6": { + "question": "Gorpuses are wumpuses. Everything that is a vumpus or a tumpus or an impus is a yumpus. Every numpus is a wumpus. Gorpuses are tumpuses. Every grimpus is a brimpus. Rex is a brimpus, a shumpus, and a yumpus. Rex is a grimpus, a gorpus, and a numpus.", + "query": "Prove: Rex is a sterpus or a dumpus or a tumpus.", + "chain_of_thought": [ + "Rex is a grimpus and a gorpus and a numpus.", + "Rex is a gorpus.", + "Gorpuses are tumpuses.", + "Rex is a tumpus.", + "Rex is a sterpus or a dumpus or a tumpus." + ] + }, + "in_context_example7": { + "question": "Everything that is a zumpus, a vumpus, or a sterpus is a gorpus. Each wumpus is a tumpus. Everything that is a lorpus, a lempus, and an impus is a wumpus. Everything that is a zumpus or a vumpus or a sterpus is a tumpus. Everything that is a vumpus, a gorpus, or a brimpus is a numpus. Stella is a lempus. Stella is an impus. Stella is a wumpus. Everything that is a lempus, a dumpus, and a yumpus is not a tumpus. Stella is a lorpus. Everything that is a lempus and a dumpus and a yumpus is a brimpus. Stella is a lempus. Stella is a jompus. Stella is a dumpus. Stella is a yumpus.", + "query": "Prove: Stella is not a vumpus.", + "chain_of_thought": [ + "Stella is a yumpus.", + "Stella is a dumpus.", + "Stella is a lempus.", + "Stella is a lempus, a dumpus, and a yumpus.", + "Everything that is a lempus, a dumpus, and a yumpus is not a tumpus.", + "Stella is not a tumpus.\n\n", + "Assume Stella is a vumpus.", + "Stella is a zumpus or a vumpus or a sterpus.", + "Everything that is a zumpus or a vumpus or a sterpus is a tumpus.", + "Stella is a tumpus.", + "This contradicts with Stella is not a tumpus.", + "Stella is not a vumpus.\n\n" + ] + }, + "test_example": { + "question": "Every brimpus is a wumpus. Everything that is a lorpus, a shumpus, or a dumpus is a gorpus. Every zumpus is a gorpus. Every lempus is a yumpus. Every zumpus is a shumpus and a brimpus and a lempus. Rex is a yumpus. Rex is a zumpus.", + "query": "Prove: Rex is a sterpus, a jompus, or a shumpus.", + "chain_of_thought": [ + "Rex is a zumpus.", + "Every zumpus is a shumpus and a brimpus and a lempus.", + "Rex is a shumpus, a brimpus, and a lempus.", + "Rex is a shumpus.", + "Rex is a sterpus or a jompus or a shumpus." + ] + } + }, + "example98": { + "in_context_example0": { + "question": "Every numpus is a grimpus. Zumpuses are rompuses. Alex is a sterpus. Every jompus is a tumpus. Every sterpus is a gorpus. Each numpus is a dumpus and a gorpus and a zumpus. Wumpuses are yumpuses. Dumpuses are tumpuses. Alex is a rompus and a brimpus and a sterpus. Alex is a wumpus and Alex is a jompus and Alex is not a gorpus.", + "query": "Prove: Alex is not a numpus.", + "chain_of_thought": [ + "Alex is a wumpus and Alex is a jompus and Alex is not a gorpus.", + "Alex is not a gorpus.\n\n", + "Assume Alex is a numpus.", + "Each numpus is a dumpus and a gorpus and a zumpus.", + "Alex is a dumpus, a gorpus, and a zumpus.", + "Alex is a gorpus.", + "This contradicts with Alex is not a gorpus.", + "Alex is not a numpus.\n\n" + ] + }, + "in_context_example1": { + "question": "Rompuses are zumpuses. Every lorpus is a gorpus. Every numpus is a grimpus. Each yumpus is a tumpus. Sam is a yumpus. Impuses are shumpuses. Every sterpus is a vumpus. Each sterpus is a rompus, a tumpus, and a lorpus. Sam is a lempus and a brimpus and a gorpus. Sam is not a tumpus, Sam is a numpus, and Sam is an impus.", + "query": "Prove: Sam is not a sterpus.", + "chain_of_thought": [ + "Sam is not a tumpus and Sam is a numpus and Sam is an impus.", + "Sam is not a tumpus.\n\n", + "Assume Sam is a sterpus.", + "Each sterpus is a rompus, a tumpus, and a lorpus.", + "Sam is a rompus and a tumpus and a lorpus.", + "Sam is a tumpus.", + "This contradicts with Sam is not a tumpus.", + "Sam is not a sterpus.\n\n" + ] + }, + "in_context_example2": { + "question": "Sterpuses are impuses, dumpuses, and jompuses. Everything that is a wumpus or a jompus or a yumpus is a numpus. Impuses are lempuses. Dumpuses are brimpuses. Every sterpus is a brimpus. Polly is a lorpus. Polly is a sterpus.", + "query": "Prove: Polly is a tumpus or a zumpus or a jompus.", + "chain_of_thought": [ + "Polly is a sterpus.", + "Sterpuses are impuses, dumpuses, and jompuses.", + "Polly is an impus, a dumpus, and a jompus.", + "Polly is a jompus.", + "Polly is a tumpus, a zumpus, or a jompus." + ] + }, + "in_context_example3": { + "question": "Everything that is a lorpus or a lempus or a rompus is a jompus. Brimpuses are grimpuses. Yumpuses are vumpuses, lempuses, and brimpuses. Vumpuses are jompuses. Every yumpus is a lorpus. Stella is a rompus. Stella is a yumpus.", + "query": "Prove: Stella is a tumpus or a lempus or an impus.", + "chain_of_thought": [ + "Stella is a yumpus.", + "Yumpuses are vumpuses, lempuses, and brimpuses.", + "Stella is a vumpus, a lempus, and a brimpus.", + "Stella is a lempus.", + "Stella is a tumpus, a lempus, or an impus." + ] + }, + "in_context_example4": { + "question": "Each lempus is a jompus. Everything that is an impus, a shumpus, or a zumpus is a jompus. Everything that is a lorpus or a yumpus or an impus is a dumpus and a lempus and a wumpus. Every dumpus is a shumpus. Everything that is a lorpus or a yumpus or an impus is a brimpus. Sally is a shumpus. Sally is an impus.", + "query": "Prove: Sally is a wumpus.", + "chain_of_thought": [ + "Sally is an impus.", + "Sally is a lorpus, a yumpus, or an impus.", + "Everything that is a lorpus or a yumpus or an impus is a dumpus and a lempus and a wumpus.", + "Sally is a dumpus, a lempus, and a wumpus.", + "Sally is a wumpus." + ] + }, + "in_context_example5": { + "question": "Each rompus is a jompus. Everything that is a grimpus or a zumpus or a gorpus is a rompus and a sterpus and an impus. Sterpuses are yumpuses. Everything that is a grimpus or a brimpus or a tumpus is a numpus. Everything that is a grimpus, a zumpus, or a gorpus is a lorpus. Fae is a wumpus. Fae is a grimpus.", + "query": "Prove: Fae is an impus.", + "chain_of_thought": [ + "Fae is a grimpus.", + "Fae is a grimpus, a zumpus, or a gorpus.", + "Everything that is a grimpus or a zumpus or a gorpus is a rompus and a sterpus and an impus.", + "Fae is a rompus and a sterpus and an impus.", + "Fae is an impus." + ] + }, + "in_context_example6": { + "question": "Everything that is a brimpus and a lempus and a shumpus is a tumpus. Grimpuses are rompuses. Rompuses are sterpuses. Everything that is a brimpus, a numpus, and a yumpus is a vumpus. Alex is a brimpus. Alex is a numpus. Alex is a yumpus. Every grimpus is a tumpus. Numpuses are gorpuses. Everything that is a brimpus, a lempus, and a shumpus is not a gorpus. Every rompus is a gorpus. Alex is a brimpus. Alex is a tumpus. Alex is a lempus. Alex is a shumpus.", + "query": "Prove: Alex is not a grimpus.", + "chain_of_thought": [ + "Alex is a shumpus.", + "Alex is a lempus.", + "Alex is a brimpus.", + "Alex is a brimpus, a lempus, and a shumpus.", + "Everything that is a brimpus, a lempus, and a shumpus is not a gorpus.", + "Alex is not a gorpus.\n\n", + "Assume Alex is a grimpus.", + "Grimpuses are rompuses.", + "Alex is a rompus.", + "Every rompus is a gorpus.", + "Alex is a gorpus.", + "This contradicts with Alex is not a gorpus.", + "Alex is not a grimpus.\n\n" + ] + }, + "in_context_example7": { + "question": "Each yumpus is a shumpus. Sterpuses are zumpuses. Max is a sterpus. Each lempus is a lorpus, a wumpus, and a zumpus. Lorpuses are numpuses. Lorpuses are vumpuses. Lempuses are tumpuses. Wumpuses are impuses. Max is a vumpus, a tumpus, and a gorpus. Max is a yumpus, Max is a lorpus, and Max is not a zumpus.", + "query": "Prove: Max is not a lempus.", + "chain_of_thought": [ + "Max is a yumpus, Max is a lorpus, and Max is not a zumpus.", + "Max is not a zumpus.\n\n", + "Assume Max is a lempus.", + "Each lempus is a lorpus, a wumpus, and a zumpus.", + "Max is a lorpus, a wumpus, and a zumpus.", + "Max is a zumpus.", + "This contradicts with Max is not a zumpus.", + "Max is not a lempus.\n\n" + ] + }, + "test_example": { + "question": "Each brimpus is a wumpus. Every gorpus is a jompus. Lempuses are brimpuses, gorpuses, and lorpuses. Lempuses are yumpuses. Everything that is a lorpus, a zumpus, or a yumpus is a grimpus. Alex is a jompus. Alex is a lempus.", + "query": "Prove: Alex is a lorpus or an impus or a numpus.", + "chain_of_thought": [ + "Alex is a lempus.", + "Lempuses are brimpuses, gorpuses, and lorpuses.", + "Alex is a brimpus and a gorpus and a lorpus.", + "Alex is a lorpus.", + "Alex is a lorpus or an impus or a numpus." + ] + } + }, + "example99": { + "in_context_example0": { + "question": "Lorpuses are yumpuses. Everything that is a dumpus and a zumpus and a grimpus is a lorpus and an impus and a numpus. Alex is a lempus. Everything that is a dumpus and a brimpus and a lempus is a jompus. Alex is a brimpus. Alex is a dumpus. Everything that is a dumpus, a zumpus, and a grimpus is a shumpus. Numpuses are brimpuses. Alex is a dumpus. Alex is a zumpus. Alex is a yumpus. Alex is a grimpus.", + "query": "Prove: Alex is an impus.", + "chain_of_thought": [ + "Alex is a grimpus.", + "Alex is a zumpus.", + "Alex is a dumpus.", + "Alex is a dumpus, a zumpus, and a grimpus.", + "Everything that is a dumpus and a zumpus and a grimpus is a lorpus and an impus and a numpus.", + "Alex is a lorpus and an impus and a numpus.", + "Alex is an impus." + ] + }, + "in_context_example1": { + "question": "Vumpuses are gorpuses. Every lorpus is a grimpus. Vumpuses are lorpuses, sterpuses, and numpuses. Everything that is a lempus, a numpus, or a zumpus is a grimpus. Every sterpus is a jompus. Fae is a dumpus. Fae is a vumpus.", + "query": "Prove: Fae is a numpus, a yumpus, or a shumpus.", + "chain_of_thought": [ + "Fae is a vumpus.", + "Vumpuses are lorpuses, sterpuses, and numpuses.", + "Fae is a lorpus and a sterpus and a numpus.", + "Fae is a numpus.", + "Fae is a numpus or a yumpus or a shumpus." + ] + }, + "in_context_example2": { + "question": "Everything that is a numpus or a gorpus or a zumpus is a lorpus. Each tumpus is a lorpus. Every impus is a rompus. Everything that is a dumpus or a yumpus or a gorpus is a jompus and a tumpus and an impus. Everything that is a dumpus, a yumpus, or a gorpus is a lempus. Alex is a zumpus. Alex is a gorpus.", + "query": "Prove: Alex is a jompus.", + "chain_of_thought": [ + "Alex is a gorpus.", + "Alex is a dumpus or a yumpus or a gorpus.", + "Everything that is a dumpus or a yumpus or a gorpus is a jompus and a tumpus and an impus.", + "Alex is a jompus and a tumpus and an impus.", + "Alex is a jompus." + ] + }, + "in_context_example3": { + "question": "Everything that is a shumpus and a vumpus and a rompus is a lorpus. Stella is an impus. Each jompus is a lorpus. Each lempus is a yumpus. Stella is a rompus. Everything that is a shumpus and a brimpus and a gorpus is not a grimpus. Everything that is a shumpus, a brimpus, and a gorpus is a lorpus. Stella is a shumpus. Stella is a vumpus. Every wumpus is a zumpus. Impuses are grimpuses. Every wumpus is a jompus and a lempus and a grimpus. Stella is a shumpus. Stella is a brimpus. Stella is a yumpus. Stella is a gorpus.", + "query": "Prove: Stella is not a wumpus.", + "chain_of_thought": [ + "Stella is a gorpus.", + "Stella is a brimpus.", + "Stella is a shumpus.", + "Stella is a shumpus and a brimpus and a gorpus.", + "Everything that is a shumpus and a brimpus and a gorpus is not a grimpus.", + "Stella is not a grimpus.\n\n", + "Assume Stella is a wumpus.", + "Every wumpus is a jompus and a lempus and a grimpus.", + "Stella is a jompus and a lempus and a grimpus.", + "Stella is a grimpus.", + "This contradicts with Stella is not a grimpus.", + "Stella is not a wumpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Gorpuses are grimpuses. Everything that is a jompus, an impus, or a vumpus is a rompus, a gorpus, and a wumpus. Wumpuses are yumpuses. Everything that is a jompus, a grimpus, or a yumpus is a zumpus. Everything that is a jompus, an impus, or a vumpus is a numpus. Max is a lempus. Max is a jompus.", + "query": "Prove: Max is a rompus.", + "chain_of_thought": [ + "Max is a jompus.", + "Max is a jompus, an impus, or a vumpus.", + "Everything that is a jompus, an impus, or a vumpus is a rompus, a gorpus, and a wumpus.", + "Max is a rompus and a gorpus and a wumpus.", + "Max is a rompus." + ] + }, + "in_context_example5": { + "question": "Every jompus is a lempus. Yumpuses are sterpuses. Jompuses are tumpuses and dumpuses and yumpuses. Every impus is not a tumpus. Wumpuses are tumpuses. Every dumpus is a gorpus. Dumpuses are lorpuses. Sally is a wumpus. Rompuses are sterpuses. Each impus is a shumpus. Sally is a shumpus and a gorpus and a brimpus. Sally is a dumpus and an impus and a rompus.", + "query": "Prove: Sally is not a jompus.", + "chain_of_thought": [ + "Sally is a dumpus and an impus and a rompus.", + "Sally is an impus.", + "Every impus is not a tumpus.", + "Sally is not a tumpus.\n\n", + "Assume Sally is a jompus.", + "Jompuses are tumpuses and dumpuses and yumpuses.", + "Sally is a tumpus and a dumpus and a yumpus.", + "Sally is a tumpus.", + "This contradicts with Sally is not a tumpus.", + "Sally is not a jompus.\n\n" + ] + }, + "in_context_example6": { + "question": "Rompuses are shumpuses. Everything that is a yumpus, a gorpus, and a vumpus is a rompus, a brimpus, and a lempus. Stella is a jompus. Everything that is a yumpus and a gorpus and a vumpus is a numpus. Stella is a yumpus. Stella is a sterpus. Brimpuses are sterpuses. Everything that is a yumpus and a sterpus and a jompus is a grimpus. Stella is a yumpus. Stella is a lorpus. Stella is a gorpus. Stella is a vumpus.", + "query": "Prove: Stella is a lempus.", + "chain_of_thought": [ + "Stella is a vumpus.", + "Stella is a gorpus.", + "Stella is a yumpus.", + "Stella is a yumpus and a gorpus and a vumpus.", + "Everything that is a yumpus, a gorpus, and a vumpus is a rompus, a brimpus, and a lempus.", + "Stella is a rompus and a brimpus and a lempus.", + "Stella is a lempus." + ] + }, + "in_context_example7": { + "question": "Every tumpus is a grimpus, a yumpus, and a vumpus. Each tumpus is a sterpus. Yumpuses are numpuses. Vumpuses are lempuses. Everything that is a lempus, a grimpus, or a shumpus is a brimpus. Fae is a sterpus. Fae is a tumpus.", + "query": "Prove: Fae is a rompus, a dumpus, or a grimpus.", + "chain_of_thought": [ + "Fae is a tumpus.", + "Every tumpus is a grimpus, a yumpus, and a vumpus.", + "Fae is a grimpus, a yumpus, and a vumpus.", + "Fae is a grimpus.", + "Fae is a rompus or a dumpus or a grimpus." + ] + }, + "test_example": { + "question": "Rex is a grimpus. Gorpuses are numpuses. Rex is a lorpus. Everything that is a lorpus, a zumpus, and a rompus is a vumpus, a yumpus, and a gorpus. Vumpuses are sterpuses. Rex is a shumpus. Everything that is a lorpus, a zumpus, and a rompus is a shumpus. Everything that is a lorpus, a shumpus, and a grimpus is a wumpus. Rex is a lorpus. Rex is a zumpus. Rex is a shumpus. Rex is a rompus.", + "query": "Prove: Rex is a yumpus.", + "chain_of_thought": [ + "Rex is a rompus.", + "Rex is a zumpus.", + "Rex is a lorpus.", + "Rex is a lorpus, a zumpus, and a rompus.", + "Everything that is a lorpus, a zumpus, and a rompus is a vumpus, a yumpus, and a gorpus.", + "Rex is a vumpus, a yumpus, and a gorpus.", + "Rex is a yumpus." + ] + } + }, + "example100": { + "in_context_example0": { + "question": "Brimpuses are lempuses. Everything that is a sterpus, a yumpus, or a tumpus is a zumpus. Shumpuses are jompuses. Everything that is a tumpus or a vumpus or a numpus is a zumpus. Everything that is a sterpus or a yumpus or a tumpus is a gorpus. Alex is a vumpus and a dumpus and a numpus. Alex is a shumpus and a tumpus and a brimpus.", + "query": "Prove: Alex is a gorpus.", + "chain_of_thought": [ + "Alex is a shumpus and a tumpus and a brimpus.", + "Alex is a tumpus.", + "Alex is a sterpus, a yumpus, or a tumpus.", + "Everything that is a sterpus or a yumpus or a tumpus is a gorpus.", + "Alex is a gorpus." + ] + }, + "in_context_example1": { + "question": "Jompuses are grimpuses. Each lorpus is a shumpus. Each dumpus is a vumpus. Lempuses are wumpuses. Numpuses are wumpuses. Each jompus is a lorpus. Sam is a shumpus. Every lorpus is not a sterpus. Every lempus is a sterpus, a numpus, and a dumpus. Shumpuses are sterpuses. Sam is a wumpus. Sam is a jompus.", + "query": "Prove: Sam is not a lempus.", + "chain_of_thought": [ + "Sam is a jompus.", + "Each jompus is a lorpus.", + "Sam is a lorpus.", + "Every lorpus is not a sterpus.", + "Sam is not a sterpus.\n\n", + "Assume Sam is a lempus.", + "Every lempus is a sterpus, a numpus, and a dumpus.", + "Sam is a sterpus and a numpus and a dumpus.", + "Sam is a sterpus.", + "This contradicts with Sam is not a sterpus.", + "Sam is not a lempus.\n\n" + ] + }, + "in_context_example2": { + "question": "Everything that is a jompus or a lorpus or a dumpus is an impus. Shumpuses are wumpuses. Yumpuses are tumpuses. Everything that is a zumpus, a jompus, or a lempus is a tumpus. Everything that is a zumpus, a jompus, or a lempus is a brimpus. Wren is a lorpus, a vumpus, and an impus. Wren is a jompus and a yumpus and a shumpus.", + "query": "Prove: Wren is a brimpus.", + "chain_of_thought": [ + "Wren is a jompus, a yumpus, and a shumpus.", + "Wren is a jompus.", + "Wren is a zumpus or a jompus or a lempus.", + "Everything that is a zumpus, a jompus, or a lempus is a brimpus.", + "Wren is a brimpus." + ] + }, + "in_context_example3": { + "question": "Every tumpus is a shumpus. Dumpuses are gorpuses. Each numpus is a wumpus. Alex is a vumpus. Each lempus is a grimpus. Sterpuses are jompuses. Numpuses are sterpuses and lorpuses and tumpuses. Each vumpus is a lorpus. Brimpuses are vumpuses. Lempuses are not lorpuses. Alex is an impus, a jompus, and a grimpus. Alex is a dumpus, a brimpus, and a lempus.", + "query": "Prove: Alex is not a numpus.", + "chain_of_thought": [ + "Alex is a dumpus, a brimpus, and a lempus.", + "Alex is a lempus.", + "Lempuses are not lorpuses.", + "Alex is not a lorpus.\n\n", + "Assume Alex is a numpus.", + "Numpuses are sterpuses and lorpuses and tumpuses.", + "Alex is a sterpus and a lorpus and a tumpus.", + "Alex is a lorpus.", + "This contradicts with Alex is not a lorpus.", + "Alex is not a numpus.\n\n" + ] + }, + "in_context_example4": { + "question": "Everything that is a vumpus and a gorpus and a numpus is a grimpus. Stella is a gorpus. Every impus is a dumpus. Each rompus is a grimpus. Everything that is a vumpus, a sterpus, and a tumpus is a grimpus. Stella is a vumpus. Everything that is a vumpus and a sterpus and a tumpus is an impus and a wumpus and a rompus. Stella is a numpus. Stella is a vumpus. Stella is a gorpus. Stella is a sterpus. Stella is a tumpus.", + "query": "Prove: Stella is a wumpus.", + "chain_of_thought": [ + "Stella is a tumpus.", + "Stella is a sterpus.", + "Stella is a vumpus.", + "Stella is a vumpus, a sterpus, and a tumpus.", + "Everything that is a vumpus and a sterpus and a tumpus is an impus and a wumpus and a rompus.", + "Stella is an impus, a wumpus, and a rompus.", + "Stella is a wumpus." + ] + }, + "in_context_example5": { + "question": "Everything that is a sterpus or a lorpus or a jompus is a tumpus. Everything that is a rompus or a shumpus or a lorpus is a vumpus, a wumpus, and a lempus. Everything that is a rompus, a shumpus, or a lorpus is a dumpus. Lempuses are grimpuses. Wumpuses are jompuses. Rex is an impus. Rex is a lorpus.", + "query": "Prove: Rex is a vumpus.", + "chain_of_thought": [ + "Rex is a lorpus.", + "Rex is a rompus, a shumpus, or a lorpus.", + "Everything that is a rompus or a shumpus or a lorpus is a vumpus, a wumpus, and a lempus.", + "Rex is a vumpus, a wumpus, and a lempus.", + "Rex is a vumpus." + ] + }, + "in_context_example6": { + "question": "Everything that is a lorpus and an impus and a lempus is a shumpus, a grimpus, and a yumpus. Alex is a lorpus. Everything that is a numpus and a lorpus and a vumpus is a zumpus. Alex is a numpus. Everything that is a lorpus, an impus, and a lempus is a zumpus. Alex is a vumpus. Every grimpus is a tumpus. Shumpuses are wumpuses. Alex is a lorpus. Alex is a zumpus. Alex is an impus. Alex is a lempus.", + "query": "Prove: Alex is a yumpus.", + "chain_of_thought": [ + "Alex is a lempus.", + "Alex is an impus.", + "Alex is a lorpus.", + "Alex is a lorpus and an impus and a lempus.", + "Everything that is a lorpus and an impus and a lempus is a shumpus, a grimpus, and a yumpus.", + "Alex is a shumpus, a grimpus, and a yumpus.", + "Alex is a yumpus." + ] + }, + "in_context_example7": { + "question": "Numpuses are wumpuses. Everything that is a shumpus, a dumpus, or a brimpus is a jompus. Rompuses are zumpuses. Each numpus is a shumpus. Grimpuses are brimpuses. Sally is a gorpus, a jompus, and a vumpus. Sally is a numpus and a grimpus and a rompus.", + "query": "Prove: Sally is a grimpus, a shumpus, or a tumpus.", + "chain_of_thought": [ + "Sally is a numpus, a grimpus, and a rompus.", + "Sally is a numpus.", + "Each numpus is a shumpus.", + "Sally is a shumpus.", + "Sally is a grimpus, a shumpus, or a tumpus." + ] + }, + "test_example": { + "question": "Everything that is a numpus and a shumpus and a gorpus is a zumpus. Sam is a yumpus. Each wumpus is an impus. Each dumpus is a rompus. Everything that is a numpus, a jompus, and a yumpus is a rompus. Sam is a jompus. Sam is a numpus. Everything that is a numpus, a shumpus, and a gorpus is a vumpus, a dumpus, and a wumpus. Sam is a lorpus. Sam is a numpus. Sam is a shumpus. Sam is a gorpus.", + "query": "Prove: Sam is a vumpus.", + "chain_of_thought": [ + "Sam is a gorpus.", + "Sam is a shumpus.", + "Sam is a numpus.", + "Sam is a numpus and a shumpus and a gorpus.", + "Everything that is a numpus, a shumpus, and a gorpus is a vumpus, a dumpus, and a wumpus.", + "Sam is a vumpus, a dumpus, and a wumpus.", + "Sam is a vumpus." + ] + } + } +} \ No newline at end of file