%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM740^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 07:57:12 PM UTC 2025 % Result : Theorem 3.46s 3.68s % Output : Proof 3.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : NUM740^1 : TPTP v9.2.0. Released v3.7.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n009.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 08:00:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.46/3.68 SZS status Theorem for theBenchmark.p % 3.46/3.68 SZS output start Proof for theBenchmark.p % 3.46/3.68 Clause #0 (by assumption #[]): Eq (Not (moref x y) → eq x y) True % 3.46/3.68 Clause #1 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq Xx Xy → eq Xy Xx) True % 3.46/3.68 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy : frac), moref Xx Xy → lessf Xy Xx) True % 3.46/3.68 Clause #3 (by assumption #[]): Eq (Not (Not (lessf y x) → eq y x)) True % 3.46/3.68 Clause #4 (by clausification #[0]): Or (Eq (Not (moref x y)) False) (Eq (eq x y) True) % 3.46/3.68 Clause #5 (by clausification #[4]): Or (Eq (eq x y) True) (Eq (moref x y) True) % 3.46/3.68 Clause #6 (by clausification #[3]): Eq (Not (lessf y x) → eq y x) False % 3.46/3.68 Clause #7 (by clausification #[6]): Eq (Not (lessf y x)) True % 3.46/3.68 Clause #8 (by clausification #[6]): Eq (eq y x) False % 3.46/3.68 Clause #9 (by clausification #[7]): Eq (lessf y x) False % 3.46/3.68 Clause #10 (by clausification #[2]): ∀ (a : frac), Eq (∀ (Xy : frac), moref a Xy → lessf Xy a) True % 3.46/3.68 Clause #11 (by clausification #[10]): ∀ (a a_1 : frac), Eq (moref a a_1 → lessf a_1 a) True % 3.46/3.68 Clause #12 (by clausification #[11]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Eq (lessf a_1 a) True) % 3.46/3.68 Clause #13 (by superposition #[12, 5]): Or (Eq (lessf y x) True) (Or (Eq (eq x y) True) (Eq False True)) % 3.46/3.68 Clause #14 (by clausification #[1]): ∀ (a : frac), Eq (∀ (Xy : frac), eq a Xy → eq Xy a) True % 3.46/3.68 Clause #15 (by clausification #[14]): ∀ (a a_1 : frac), Eq (eq a a_1 → eq a_1 a) True % 3.46/3.68 Clause #16 (by clausification #[15]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a) True) % 3.46/3.68 Clause #17 (by clausification #[13]): Or (Eq (lessf y x) True) (Eq (eq x y) True) % 3.46/3.68 Clause #18 (by superposition #[17, 9]): Or (Eq (eq x y) True) (Eq True False) % 3.46/3.68 Clause #19 (by clausification #[18]): Eq (eq x y) True % 3.46/3.68 Clause #22 (by superposition #[19, 16]): Or (Eq True False) (Eq (eq y x) True) % 3.46/3.68 Clause #23 (by clausification #[22]): Eq (eq y x) True % 3.46/3.68 Clause #24 (by superposition #[23, 8]): Eq True False % 3.46/3.68 Clause #26 (by clausification #[24]): False % 3.46/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------