%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM758^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.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 07:57:16 PM UTC 2025 % Result : Theorem 5.35s 5.60s % Output : Proof 5.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.01/0.11 % Problem : NUM758^1 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.12 % Command : duper %s % 0.12/0.33 % Computer : n027.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 07:50:23 EDT 2025 % 0.12/0.33 % CPUTime : % 5.35/5.60 SZS status Theorem for theBenchmark.p % 5.35/5.60 SZS output start Proof for theBenchmark.p % 5.35/5.60 Clause #0 (by assumption #[]): Eq (moref (pf z x) (pf z y)) True % 5.35/5.60 Clause #1 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), moref (pf Xx Xz) (pf Xy Xz) → moref Xx Xy) True % 5.35/5.60 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), moref Xx Xy → eq Xx Xz → eq Xy Xu → moref Xz Xu) True % 5.35/5.60 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq (pf Xx Xy) (pf Xy Xx)) True % 5.35/5.60 Clause #4 (by assumption #[]): Eq (Not (moref x y)) True % 5.35/5.60 Clause #5 (by clausification #[4]): Eq (moref x y) False % 5.35/5.60 Clause #6 (by clausification #[1]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), moref (pf a Xz) (pf Xy Xz) → moref a Xy) True % 5.35/5.60 Clause #7 (by clausification #[6]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), moref (pf a Xz) (pf a_1 Xz) → moref a a_1) True % 5.35/5.60 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : frac), Eq (moref (pf a a_1) (pf a_2 a_1) → moref a a_2) True % 5.35/5.60 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : frac), Or (Eq (moref (pf a a_1) (pf a_2 a_1)) False) (Eq (moref a a_2) True) % 5.35/5.60 Clause #10 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy : frac), eq (pf a Xy) (pf Xy a)) True % 5.35/5.60 Clause #11 (by clausification #[10]): ∀ (a a_1 : frac), Eq (eq (pf a a_1) (pf a_1 a)) True % 5.35/5.60 Clause #12 (by clausification #[2]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), moref a Xy → eq a Xz → eq Xy Xu → moref Xz Xu) True % 5.35/5.60 Clause #13 (by clausification #[12]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), moref a a_1 → eq a Xz → eq a_1 Xu → moref Xz Xu) True % 5.35/5.60 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xu : frac), moref a a_1 → eq a a_2 → eq a_1 Xu → moref a_2 Xu) True % 5.35/5.60 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : frac), Eq (moref a a_1 → eq a a_2 → eq a_1 a_3 → moref a_2 a_3) True % 5.35/5.60 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (moref a a_1) False) (Eq (eq a a_2 → eq a_1 a_3 → moref a_2 a_3) True) % 5.35/5.60 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (moref a a_1) False) (Or (Eq (eq a a_2) False) (Eq (eq a_1 a_3 → moref a_2 a_3) True)) % 5.35/5.60 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 a_3 : frac), % 5.35/5.60 Or (Eq (moref a a_1) False) (Or (Eq (eq a a_2) False) (Or (Eq (eq a_1 a_3) False) (Eq (moref a_2 a_3) True))) % 5.35/5.60 Clause #19 (by superposition #[18, 0]): ∀ (a a_1 : frac), % 5.35/5.60 Or (Eq (eq (pf z x) a) False) (Or (Eq (eq (pf z y) a_1) False) (Or (Eq (moref a a_1) True) (Eq False True))) % 5.35/5.60 Clause #20 (by clausification #[19]): ∀ (a a_1 : frac), Or (Eq (eq (pf z x) a) False) (Or (Eq (eq (pf z y) a_1) False) (Eq (moref a a_1) True)) % 5.35/5.60 Clause #21 (by superposition #[20, 11]): ∀ (a : frac), Or (Eq (eq (pf z y) a) False) (Or (Eq (moref (pf x z) a) True) (Eq False True)) % 5.35/5.60 Clause #22 (by clausification #[21]): ∀ (a : frac), Or (Eq (eq (pf z y) a) False) (Eq (moref (pf x z) a) True) % 5.35/5.60 Clause #23 (by superposition #[22, 11]): Or (Eq (moref (pf x z) (pf y z)) True) (Eq False True) % 5.35/5.60 Clause #24 (by clausification #[23]): Eq (moref (pf x z) (pf y z)) True % 5.35/5.60 Clause #25 (by superposition #[24, 9]): Or (Eq True False) (Eq (moref x y) True) % 5.35/5.60 Clause #27 (by clausification #[25]): Eq (moref x y) True % 5.35/5.60 Clause #28 (by superposition #[27, 5]): Eq True False % 5.35/5.60 Clause #30 (by clausification #[28]): False % 5.35/5.60 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------