%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM769^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 07:57:18 PM UTC 2025 % Result : Theorem 3.53s 3.68s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.12 % Problem : NUM769^1 : TPTP v9.2.0. Released v3.7.0. % 0.09/0.13 % Command : duper %s % 0.12/0.34 % Computer : n008.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 06:52:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.53/3.68 SZS status Theorem for theBenchmark.p % 3.53/3.68 SZS output start Proof for theBenchmark.p % 3.53/3.68 Clause #0 (by assumption #[]): Eq (moref x y) True % 3.53/3.68 Clause #1 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq Xx Xy → eq Xy Xx) True % 3.53/3.68 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy : frac), moref Xx Xy → eq (pf Xy (mf Xx Xy)) Xx) True % 3.53/3.68 Clause #3 (by assumption #[]): Eq (Not (eq x (pf y (mf x y)))) True % 3.53/3.68 Clause #4 (by clausification #[1]): ∀ (a : frac), Eq (∀ (Xy : frac), eq a Xy → eq Xy a) True % 3.53/3.68 Clause #5 (by clausification #[4]): ∀ (a a_1 : frac), Eq (eq a a_1 → eq a_1 a) True % 3.53/3.68 Clause #6 (by clausification #[5]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a) True) % 3.53/3.68 Clause #7 (by clausification #[3]): Eq (eq x (pf y (mf x y))) False % 3.53/3.68 Clause #8 (by clausification #[2]): ∀ (a : frac), Eq (∀ (Xy : frac), moref a Xy → eq (pf Xy (mf a Xy)) a) True % 3.53/3.68 Clause #9 (by clausification #[8]): ∀ (a a_1 : frac), Eq (moref a a_1 → eq (pf a_1 (mf a a_1)) a) True % 3.53/3.68 Clause #10 (by clausification #[9]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Eq (eq (pf a_1 (mf a a_1)) a) True) % 3.53/3.68 Clause #11 (by superposition #[10, 0]): Or (Eq (eq (pf y (mf x y)) x) True) (Eq False True) % 3.53/3.68 Clause #12 (by clausification #[11]): Eq (eq (pf y (mf x y)) x) True % 3.53/3.68 Clause #13 (by superposition #[12, 6]): Or (Eq True False) (Eq (eq x (pf y (mf x y))) True) % 3.53/3.68 Clause #14 (by clausification #[13]): Eq (eq x (pf y (mf x y))) True % 3.53/3.68 Clause #15 (by superposition #[14, 7]): Eq True False % 3.53/3.68 Clause #17 (by clausification #[15]): False % 3.53/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------