%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM754^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 07:57:15 PM UTC 2025 % Result : Theorem 4.85s 5.07s % Output : Proof 4.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : NUM754^1 : TPTP v9.2.0. Released v3.7.0. % 0.00/0.10 % Command : duper %s % 0.09/0.30 % Computer : n004.cluster.edu % 0.09/0.30 % Model : x86_64 x86_64 % 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.30 % Memory : 8042.1875MB % 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.30 % CPULimit : 300 % 0.09/0.30 % WCLimit : 300 % 0.09/0.30 % DateTime : Fri Oct 3 07:35:53 EDT 2025 % 0.09/0.30 % CPUTime : % 4.85/5.07 SZS status Theorem for theBenchmark.p % 4.85/5.07 SZS output start Proof for theBenchmark.p % 4.85/5.07 Clause #0 (by assumption #[]): Eq (eq x y) True % 4.85/5.07 Clause #1 (by assumption #[]): Eq (moref z u) True % 4.85/5.07 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), moref Xx Xy → eq Xx Xz → eq Xy Xu → moref Xz Xu) True % 4.85/5.07 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), eq Xx Xy → moref Xz Xu → moref (pf Xx Xz) (pf Xy Xu)) True % 4.85/5.07 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq (pf Xx Xy) (pf Xy Xx)) True % 4.85/5.07 Clause #5 (by assumption #[]): Eq (Not (moref (pf z x) (pf u y))) True % 4.85/5.07 Clause #6 (by clausification #[5]): Eq (moref (pf z x) (pf u y)) False % 4.85/5.07 Clause #7 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy : frac), eq (pf a Xy) (pf Xy a)) True % 4.85/5.07 Clause #8 (by clausification #[7]): ∀ (a a_1 : frac), Eq (eq (pf a a_1) (pf a_1 a)) True % 4.85/5.07 Clause #9 (by clausification #[2]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), moref a Xy → eq a Xz → eq Xy Xu → moref Xz Xu) True % 4.85/5.07 Clause #10 (by clausification #[9]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), moref a a_1 → eq a Xz → eq a_1 Xu → moref Xz Xu) True % 4.85/5.07 Clause #11 (by clausification #[10]): ∀ (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 % 4.85/5.07 Clause #12 (by clausification #[11]): ∀ (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 % 4.85/5.07 Clause #13 (by clausification #[12]): ∀ (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) % 4.85/5.07 Clause #14 (by clausification #[13]): ∀ (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)) % 4.85/5.07 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : frac), % 4.85/5.07 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))) % 4.85/5.07 Clause #17 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), eq a Xy → moref Xz Xu → moref (pf a Xz) (pf Xy Xu)) True % 4.85/5.07 Clause #18 (by clausification #[17]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), eq a a_1 → moref Xz Xu → moref (pf a Xz) (pf a_1 Xu)) True % 4.85/5.07 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xu : frac), eq a a_1 → moref a_2 Xu → moref (pf a a_2) (pf a_1 Xu)) True % 4.85/5.07 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : frac), Eq (eq a a_1 → moref a_2 a_3 → moref (pf a a_2) (pf a_1 a_3)) True % 4.85/5.07 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (eq a a_1) False) (Eq (moref a_2 a_3 → moref (pf a a_2) (pf a_1 a_3)) True) % 4.85/5.07 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 a_3 : frac), % 4.85/5.07 Or (Eq (eq a a_1) False) (Or (Eq (moref a_2 a_3) False) (Eq (moref (pf a a_2) (pf a_1 a_3)) True)) % 4.85/5.07 Clause #23 (by superposition #[22, 0]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Or (Eq (moref (pf x a) (pf y a_1)) True) (Eq False True)) % 4.85/5.07 Clause #25 (by clausification #[23]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Eq (moref (pf x a) (pf y a_1)) True) % 4.85/5.07 Clause #26 (by superposition #[25, 1]): Or (Eq (moref (pf x z) (pf y u)) True) (Eq False True) % 4.85/5.07 Clause #27 (by clausification #[26]): Eq (moref (pf x z) (pf y u)) True % 4.85/5.07 Clause #28 (by superposition #[27, 15]): ∀ (a a_1 : frac), % 4.85/5.07 Or (Eq True False) (Or (Eq (eq (pf x z) a) False) (Or (Eq (eq (pf y u) a_1) False) (Eq (moref a a_1) True))) % 4.85/5.07 Clause #50 (by clausification #[28]): ∀ (a a_1 : frac), Or (Eq (eq (pf x z) a) False) (Or (Eq (eq (pf y u) a_1) False) (Eq (moref a a_1) True)) % 4.85/5.07 Clause #51 (by superposition #[50, 8]): ∀ (a : frac), Or (Eq (eq (pf y u) a) False) (Or (Eq (moref (pf z x) a) True) (Eq False True)) % 4.85/5.07 Clause #52 (by clausification #[51]): ∀ (a : frac), Or (Eq (eq (pf y u) a) False) (Eq (moref (pf z x) a) True) % 4.85/5.07 Clause #53 (by superposition #[52, 8]): Or (Eq (moref (pf z x) (pf u y)) True) (Eq False True) % 4.85/5.07 Clause #54 (by clausification #[53]): Eq (moref (pf z x) (pf u y)) True % 4.85/5.07 Clause #55 (by superposition #[54, 6]): Eq True False % 4.85/5.07 Clause #61 (by clausification #[55]): False % 4.85/5.07 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------