%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM677^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 3.72s 3.90s % Output : Proof 3.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : NUM677^1 : TPTP v9.2.0. Released v3.7.0. % 0.03/0.13 % Command : duper %s % 0.12/0.33 % Computer : n006.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Oct 3 08:16:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.72/3.90 SZS status Theorem for theBenchmark.p % 3.72/3.90 SZS output start Proof for theBenchmark.p % 3.72/3.90 Clause #0 (by assumption #[]): Eq (Eq x y) True % 3.72/3.90 Clause #1 (by assumption #[]): Eq (more z u) True % 3.72/3.90 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : nat), Eq Xx Xy → more Xz Xu → more (pl Xx Xz) (pl Xy Xu)) True % 3.72/3.90 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy : nat), Eq (pl Xx Xy) (pl Xy Xx)) True % 3.72/3.90 Clause #4 (by assumption #[]): Eq (Not (more (pl z x) (pl u y))) True % 3.72/3.90 Clause #5 (by clausification #[0]): Eq x y % 3.72/3.90 Clause #6 (by clausification #[4]): Eq (more (pl z x) (pl u y)) False % 3.72/3.90 Clause #7 (by forward demodulation #[6, 5]): Eq (more (pl z y) (pl u y)) False % 3.72/3.90 Clause #8 (by clausification #[3]): ∀ (a : nat), Eq (∀ (Xy : nat), Eq (pl a Xy) (pl Xy a)) True % 3.72/3.90 Clause #9 (by clausification #[8]): ∀ (a a_1 : nat), Eq (Eq (pl a a_1) (pl a_1 a)) True % 3.72/3.90 Clause #10 (by clausification #[9]): ∀ (a a_1 : nat), Eq (pl a a_1) (pl a_1 a) % 3.72/3.90 Clause #11 (by clausification #[2]): ∀ (a : nat), Eq (∀ (Xy Xz Xu : nat), Eq a Xy → more Xz Xu → more (pl a Xz) (pl Xy Xu)) True % 3.72/3.90 Clause #12 (by clausification #[11]): ∀ (a a_1 : nat), Eq (∀ (Xz Xu : nat), Eq a a_1 → more Xz Xu → more (pl a Xz) (pl a_1 Xu)) True % 3.72/3.90 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : nat), Eq (∀ (Xu : nat), Eq a a_1 → more a_2 Xu → more (pl a a_2) (pl a_1 Xu)) True % 3.72/3.90 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : nat), Eq (Eq a a_1 → more a_2 a_3 → more (pl a a_2) (pl a_1 a_3)) True % 3.72/3.90 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : nat), Or (Eq (Eq a a_1) False) (Eq (more a_2 a_3 → more (pl a a_2) (pl a_1 a_3)) True) % 3.72/3.90 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 : nat), Or (Eq (more a a_1 → more (pl a_2 a) (pl a_3 a_1)) True) (Ne a_2 a_3) % 3.72/3.90 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 a_3 : nat), Or (Ne a a_1) (Or (Eq (more a_2 a_3) False) (Eq (more (pl a a_2) (pl a_1 a_3)) True)) % 3.72/3.90 Clause #18 (by destructive equality resolution #[17]): ∀ (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) % 3.72/3.90 Clause #19 (by superposition #[18, 1]): ∀ (a : nat), Or (Eq (more (pl a z) (pl a u)) True) (Eq False True) % 3.72/3.90 Clause #20 (by clausification #[19]): ∀ (a : nat), Eq (more (pl a z) (pl a u)) True % 3.72/3.90 Clause #23 (by superposition #[20, 10]): ∀ (a : nat), Eq (more (pl z a) (pl a u)) True % 3.72/3.90 Clause #25 (by superposition #[23, 10]): ∀ (a : nat), Eq (more (pl z a) (pl u a)) True % 3.72/3.90 Clause #26 (by superposition #[25, 7]): Eq True False % 3.72/3.90 Clause #28 (by clausification #[26]): False % 3.72/3.90 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------