%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL773_5 : TPTP v9.3.1. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:36:37 AM UTC 2026 % Result : Theorem 16.36s 16.60s % Output : Proof 16.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL773_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.04 % Command : duper %s % 0.10/0.36 % Computer : n013.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 23:08:50 UTC 2026 % 0.10/0.36 % CPUTime : % 16.36/16.60 SZS status Theorem for theBenchmark.p % 16.36/16.60 SZS output start Proof for theBenchmark.p % 16.36/16.60 Clause #1 (by assumption #[]): Eq (∀ (J I : nat) (R2 : dB), pp (aa dB bool it R2) → pp (aa dB bool it (subst R2 (var I) J))) True % 16.36/16.60 Clause #109 (by assumption #[]): Eq (pp (aa dB bool it r)) True % 16.36/16.60 Clause #111 (by assumption #[]): Eq (Not (pp (aa dB bool it (subst r (var i) (zero_zero nat))))) True % 16.36/16.60 Clause #113 (by clausification #[1]): ∀ (a : nat), Eq (∀ (I : nat) (R2 : dB), pp (aa dB bool it R2) → pp (aa dB bool it (subst R2 (var I) a))) True % 16.36/16.60 Clause #114 (by clausification #[113]): ∀ (a a_1 : nat), Eq (∀ (R2 : dB), pp (aa dB bool it R2) → pp (aa dB bool it (subst R2 (var a) a_1))) True % 16.36/16.60 Clause #115 (by clausification #[114]): ∀ (a : dB) (a_1 a_2 : nat), Eq (pp (aa dB bool it a) → pp (aa dB bool it (subst a (var a_1) a_2))) True % 16.36/16.60 Clause #116 (by clausification #[115]): ∀ (a : dB) (a_1 a_2 : nat), Or (Eq (pp (aa dB bool it a)) False) (Eq (pp (aa dB bool it (subst a (var a_1) a_2))) True) % 16.36/16.60 Clause #119 (by superposition #[109, 116]): ∀ (a a_1 : nat), Or (Eq (pp (aa dB bool it (subst r (var a) a_1))) True) (Eq False True) % 16.36/16.60 Clause #2273 (by clausification #[111]): Eq (pp (aa dB bool it (subst r (var i) (zero_zero nat)))) False % 16.36/16.60 Clause #2357 (by clausification #[119]): ∀ (a a_1 : nat), Eq (pp (aa dB bool it (subst r (var a) a_1))) True % 16.36/16.60 Clause #2361 (by superposition #[2357, 2273]): Eq True False % 16.36/16.60 Clause #2392 (by clausification #[2361]): False % 16.36/16.60 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------