%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM738^1 : 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 07:57:11 PM UTC 2025 % Result : Theorem 3.39s 3.59s % Output : Proof 3.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM738^1 : TPTP v9.2.0. Released v3.7.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n002.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 08:47:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.39/3.59 SZS status Theorem for theBenchmark.p % 3.39/3.59 SZS output start Proof for theBenchmark.p % 3.39/3.59 Clause #0 (by assumption #[]): Eq (lessf x y) True % 3.39/3.59 Clause #1 (by assumption #[]): Eq (eq x z) True % 3.39/3.59 Clause #2 (by assumption #[]): Eq (eq y u) True % 3.39/3.59 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy : frac), moref Xx Xy → lessf Xy Xx) True % 3.39/3.59 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), moref Xx Xy → eq Xx Xz → eq Xy Xu → moref Xz Xu) True % 3.39/3.59 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy : frac), lessf Xx Xy → moref Xy Xx) True % 3.39/3.59 Clause #6 (by assumption #[]): Eq (Not (lessf z u)) True % 3.39/3.59 Clause #7 (by clausification #[6]): Eq (lessf z u) False % 3.39/3.59 Clause #8 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy : frac), moref a Xy → lessf Xy a) True % 3.39/3.59 Clause #9 (by clausification #[8]): ∀ (a a_1 : frac), Eq (moref a a_1 → lessf a_1 a) True % 3.39/3.59 Clause #10 (by clausification #[9]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Eq (lessf a_1 a) True) % 3.39/3.59 Clause #11 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), moref a Xy → eq a Xz → eq Xy Xu → moref Xz Xu) True % 3.39/3.59 Clause #12 (by clausification #[11]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), moref a a_1 → eq a Xz → eq a_1 Xu → moref Xz Xu) True % 3.39/3.59 Clause #13 (by clausification #[12]): ∀ (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 % 3.39/3.59 Clause #14 (by clausification #[13]): ∀ (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 % 3.39/3.59 Clause #15 (by clausification #[14]): ∀ (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) % 3.39/3.59 Clause #16 (by clausification #[15]): ∀ (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)) % 3.39/3.59 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 a_3 : frac), % 3.39/3.59 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))) % 3.39/3.59 Clause #18 (by clausification #[5]): ∀ (a : frac), Eq (∀ (Xy : frac), lessf a Xy → moref Xy a) True % 3.39/3.59 Clause #19 (by clausification #[18]): ∀ (a a_1 : frac), Eq (lessf a a_1 → moref a_1 a) True % 3.39/3.59 Clause #20 (by clausification #[19]): ∀ (a a_1 : frac), Or (Eq (lessf a a_1) False) (Eq (moref a_1 a) True) % 3.39/3.59 Clause #21 (by superposition #[20, 0]): Or (Eq (moref y x) True) (Eq False True) % 3.39/3.59 Clause #22 (by clausification #[21]): Eq (moref y x) True % 3.39/3.59 Clause #24 (by superposition #[22, 17]): ∀ (a a_1 : frac), Or (Eq True False) (Or (Eq (eq y a) False) (Or (Eq (eq x a_1) False) (Eq (moref a a_1) True))) % 3.39/3.59 Clause #25 (by clausification #[24]): ∀ (a a_1 : frac), Or (Eq (eq y a) False) (Or (Eq (eq x a_1) False) (Eq (moref a a_1) True)) % 3.39/3.59 Clause #26 (by superposition #[25, 2]): ∀ (a : frac), Or (Eq (eq x a) False) (Or (Eq (moref u a) True) (Eq False True)) % 3.39/3.59 Clause #27 (by clausification #[26]): ∀ (a : frac), Or (Eq (eq x a) False) (Eq (moref u a) True) % 3.39/3.59 Clause #28 (by superposition #[27, 1]): Or (Eq (moref u z) True) (Eq False True) % 3.39/3.59 Clause #29 (by clausification #[28]): Eq (moref u z) True % 3.39/3.59 Clause #30 (by superposition #[29, 10]): Or (Eq True False) (Eq (lessf z u) True) % 3.39/3.59 Clause #32 (by clausification #[30]): Eq (lessf z u) True % 3.39/3.59 Clause #33 (by superposition #[32, 7]): Eq True False % 3.39/3.59 Clause #35 (by clausification #[33]): False % 3.39/3.59 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------