%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM749^1 : 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 % 0.06/0.12 % Problem : NUM749^1 : TPTP v9.2.0. Released v3.7.0. % 0.06/0.13 % Command : duper %s % 0.13/0.35 % Computer : n002.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 07:52:53 EDT 2025 % 0.13/0.35 % 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 (∀ (Xx Xy : frac), more Xx Xy → less Xy Xx) True % 3.45/3.67 Clause #1 (by assumption #[]): Eq (∀ (Xx Xy : frac), more (pf Xx Xy) Xx) True % 3.45/3.67 Clause #2 (by assumption #[]): Eq (Not (less x (pf x y))) True % 3.45/3.67 Clause #3 (by clausification #[2]): Eq (less x (pf x y)) False % 3.45/3.67 Clause #4 (by clausification #[0]): ∀ (a : frac), Eq (∀ (Xy : frac), more a Xy → less Xy a) True % 3.45/3.67 Clause #5 (by clausification #[4]): ∀ (a a_1 : frac), Eq (more a a_1 → less a_1 a) True % 3.45/3.67 Clause #6 (by clausification #[5]): ∀ (a a_1 : frac), Or (Eq (more a a_1) False) (Eq (less a_1 a) True) % 3.45/3.67 Clause #7 (by clausification #[1]): ∀ (a : frac), Eq (∀ (Xy : frac), more (pf a Xy) a) True % 3.45/3.67 Clause #8 (by clausification #[7]): ∀ (a a_1 : frac), Eq (more (pf a a_1) a) True % 3.45/3.67 Clause #9 (by superposition #[8, 6]): ∀ (a a_1 : frac), Or (Eq True False) (Eq (less a (pf a a_1)) True) % 3.45/3.67 Clause #10 (by clausification #[9]): ∀ (a a_1 : frac), Eq (less a (pf a a_1)) True % 3.45/3.67 Clause #11 (by superposition #[10, 3]): Eq True False % 3.45/3.67 Clause #12 (by clausification #[11]): False % 3.45/3.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------