0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : duper %s 0.13/0.34 % Computer : n015.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 07:48:24 EDT 2023 0.13/0.34 % CPUTime : 3.44/3.62 SZS status Theorem for theBenchmark.p 3.44/3.62 SZS output start Proof for theBenchmark.p 3.44/3.62 Clause #2 (by assumption #[]): Eq (Eq heapIm229596387mpty_b fun T => Eq T e_b) True 3.44/3.62 Clause #5 (by assumption #[]): Eq (Not (heapIm229596387mpty_b e_b)) True 3.44/3.62 Clause #14 (by clausification #[5]): Eq (heapIm229596387mpty_b e_b) False 3.44/3.62 Clause #51 (by clausification #[2]): Eq heapIm229596387mpty_b fun T => Eq T e_b 3.44/3.62 Clause #52 (by argument congruence #[51]): ∀ (a : tree_b), Eq (heapIm229596387mpty_b a) ((fun T => Eq T e_b) a) 3.44/3.62 Clause #57 (by betaEtaReduce #[52]): ∀ (a : tree_b), Eq (heapIm229596387mpty_b a) (Eq a e_b) 3.44/3.62 Clause #58 (by clausify Prop equality #[57]): ∀ (a : tree_b), Or (Eq (heapIm229596387mpty_b a) True) (Eq (Eq a e_b) False) 3.44/3.62 Clause #65 (by clausification #[58]): ∀ (a : tree_b), Or (Eq (heapIm229596387mpty_b a) True) (Ne a e_b) 3.44/3.62 Clause #66 (by destructive equality resolution #[65]): Eq (heapIm229596387mpty_b e_b) True 3.44/3.62 Clause #67 (by superposition #[66, 14]): Eq True False 3.44/3.62 Clause #83 (by clausification #[67]): False 3.44/3.62 SZS output end Proof for theBenchmark.p 3.44/3.63 EOF