%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM751^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 07:57:14 PM UTC 2025 % Result : Theorem 3.45s 3.67s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : NUM751^1 : TPTP v9.2.0. Released v3.7.0. % 0.10/0.13 % Command : duper %s % 0.12/0.34 % Computer : n002.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 08:58:53 EDT 2025 % 0.12/0.34 % CPUTime : % 3.45/3.67 SZS status Theorem for theBenchmark.p % 3.45/3.67 SZS output start Proof for theBenchmark.p % 3.45/3.67 Clause #0 (by assumption #[]): Eq (moref x y) True % 3.45/3.67 Clause #1 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), moref Xx Xy → eq Xx Xz → eq Xy Xu → moref Xz Xu) True % 3.45/3.67 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), moref Xx Xy → moref (pf Xx Xz) (pf Xy Xz)) True % 3.45/3.67 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq (pf Xx Xy) (pf Xy Xx)) True % 3.45/3.67 Clause #4 (by assumption #[]): Eq (Not (moref (pf z x) (pf z y))) True % 3.45/3.67 Clause #5 (by clausification #[4]): Eq (moref (pf z x) (pf z y)) False % 3.45/3.67 Clause #6 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy : frac), eq (pf a Xy) (pf Xy a)) True % 3.45/3.67 Clause #7 (by clausification #[6]): ∀ (a a_1 : frac), Eq (eq (pf a a_1) (pf a_1 a)) True % 3.45/3.67 Clause #8 (by clausification #[1]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), moref a Xy → eq a Xz → eq Xy Xu → moref Xz Xu) True % 3.45/3.67 Clause #9 (by clausification #[8]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), moref a a_1 → eq a Xz → eq a_1 Xu → moref Xz Xu) True % 3.45/3.67 Clause #10 (by clausification #[9]): ∀ (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 % 3.45/3.67 Clause #11 (by clausification #[10]): ∀ (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 % 3.45/3.67 Clause #12 (by clausification #[11]): ∀ (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) % 3.45/3.67 Clause #13 (by clausification #[12]): ∀ (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)) % 3.45/3.67 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : frac), % 3.45/3.67 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))) % 3.45/3.67 Clause #16 (by clausification #[2]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), moref a Xy → moref (pf a Xz) (pf Xy Xz)) True % 3.45/3.67 Clause #17 (by clausification #[16]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), moref a a_1 → moref (pf a Xz) (pf a_1 Xz)) True % 3.45/3.67 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : frac), Eq (moref a a_1 → moref (pf a a_2) (pf a_1 a_2)) True % 3.45/3.67 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : frac), Or (Eq (moref a a_1) False) (Eq (moref (pf a a_2) (pf a_1 a_2)) True) % 3.45/3.67 Clause #20 (by superposition #[19, 0]): ∀ (a : frac), Or (Eq (moref (pf x a) (pf y a)) True) (Eq False True) % 3.45/3.67 Clause #22 (by clausification #[20]): ∀ (a : frac), Eq (moref (pf x a) (pf y a)) True % 3.45/3.67 Clause #23 (by superposition #[22, 14]): ∀ (a a_1 a_2 : frac), % 3.45/3.67 Or (Eq True False) (Or (Eq (eq (pf x a) a_1) False) (Or (Eq (eq (pf y a) a_2) False) (Eq (moref a_1 a_2) True))) % 3.45/3.67 Clause #28 (by clausification #[23]): ∀ (a a_1 a_2 : frac), Or (Eq (eq (pf x a) a_1) False) (Or (Eq (eq (pf y a) a_2) False) (Eq (moref a_1 a_2) True)) % 3.45/3.67 Clause #29 (by superposition #[28, 7]): ∀ (a a_1 : frac), Or (Eq (eq (pf y a) a_1) False) (Or (Eq (moref (pf a x) a_1) True) (Eq False True)) % 3.45/3.67 Clause #30 (by clausification #[29]): ∀ (a a_1 : frac), Or (Eq (eq (pf y a) a_1) False) (Eq (moref (pf a x) a_1) True) % 3.45/3.67 Clause #31 (by superposition #[30, 7]): ∀ (a : frac), Or (Eq (moref (pf a x) (pf a y)) True) (Eq False True) % 3.45/3.67 Clause #32 (by clausification #[31]): ∀ (a : frac), Eq (moref (pf a x) (pf a y)) True % 3.45/3.67 Clause #33 (by superposition #[32, 5]): Eq True False % 3.45/3.67 Clause #38 (by clausification #[33]): False % 3.45/3.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------