%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP065^1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:51:08 PM UTC 2025 % Result : Theorem 3.59s 3.74s % Output : Proof 3.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ITP065^1 : TPTP v9.2.0. Released v7.5.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n021.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 : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 23:09:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.59/3.74 SZS status Theorem for theBenchmark.p % 3.59/3.74 SZS output start Proof for theBenchmark.p % 3.59/3.74 Clause #0 (by assumption #[]): Eq (Eq heapIm229596387mpty_b fun T => Eq T e_b) True % 3.59/3.74 Clause #13 (by assumption #[]): Eq (Not (heapIm229596387mpty_b e_b)) True % 3.59/3.74 Clause #14 (by clausification #[13]): Eq (heapIm229596387mpty_b e_b) False % 3.59/3.74 Clause #44 (by clausification #[0]): Eq heapIm229596387mpty_b fun T => Eq T e_b % 3.59/3.74 Clause #45 (by argument congruence #[44]): ∀ (a : tree_b), Eq (heapIm229596387mpty_b a) ((fun T => Eq T e_b) a) % 3.59/3.74 Clause #49 (by betaEtaReduce #[45]): ∀ (a : tree_b), Eq (heapIm229596387mpty_b a) (Eq a e_b) % 3.59/3.74 Clause #50 (by clausify Prop equality #[49]): ∀ (a : tree_b), Or (Eq (heapIm229596387mpty_b a) True) (Eq (Eq a e_b) False) % 3.59/3.74 Clause #57 (by clausification #[50]): ∀ (a : tree_b), Or (Eq (heapIm229596387mpty_b a) True) (Ne a e_b) % 3.59/3.74 Clause #58 (by destructive equality resolution #[57]): Eq (heapIm229596387mpty_b e_b) True % 3.59/3.74 Clause #59 (by superposition #[58, 14]): Eq True False % 3.59/3.74 Clause #63 (by clausification #[59]): False % 3.59/3.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------