%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM676^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 07:57:02 PM UTC 2025 % Result : Theorem 3.53s 3.68s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM676^1 : TPTP v9.2.0. Released v3.7.0. % 0.07/0.14 % Command : duper %s % 0.13/0.35 % Computer : n016.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 07:48:23 EDT 2025 % 0.13/0.35 % CPUTime : % 3.53/3.68 SZS status Theorem for theBenchmark.p % 3.53/3.68 SZS output start Proof for theBenchmark.p % 3.53/3.68 Clause #0 (by assumption #[]): Eq (Eq x y) True % 3.53/3.68 Clause #1 (by assumption #[]): Eq (more z u) True % 3.53/3.68 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), more Xx Xy → more (pl Xz Xx) (pl Xz Xy)) True % 3.53/3.68 Clause #3 (by assumption #[]): Eq (Not (more (pl x z) (pl y u))) True % 3.53/3.68 Clause #4 (by clausification #[0]): Eq x y % 3.53/3.68 Clause #5 (by clausification #[3]): Eq (more (pl x z) (pl y u)) False % 3.53/3.68 Clause #6 (by forward demodulation #[5, 4]): Eq (more (pl y z) (pl y u)) False % 3.53/3.68 Clause #7 (by clausification #[2]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), more a Xy → more (pl Xz a) (pl Xz Xy)) True % 3.53/3.68 Clause #8 (by clausification #[7]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), more a a_1 → more (pl Xz a) (pl Xz a_1)) True % 3.53/3.68 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : nat), Eq (more a a_1 → more (pl a_2 a) (pl a_2 a_1)) True % 3.53/3.68 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : nat), Or (Eq (more a a_1) False) (Eq (more (pl a_2 a) (pl a_2 a_1)) True) % 3.53/3.68 Clause #11 (by superposition #[10, 1]): ∀ (a : nat), Or (Eq (more (pl a z) (pl a u)) True) (Eq False True) % 3.53/3.68 Clause #12 (by clausification #[11]): ∀ (a : nat), Eq (more (pl a z) (pl a u)) True % 3.53/3.68 Clause #13 (by superposition #[12, 6]): Eq True False % 3.53/3.68 Clause #15 (by clausification #[13]): False % 3.53/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------