%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP114^2 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 07:51:15 PM UTC 2025 % Result : Theorem 8.31s 8.53s % Output : Proof 8.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ITP114^2 : TPTP v9.2.0. Released v7.5.0. % 0.07/0.14 % Command : duper %s % 0.14/0.35 % Computer : n004.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 22:44:08 EDT 2025 % 0.14/0.35 % CPUTime : % 8.31/8.53 SZS status Theorem for theBenchmark.p % 8.31/8.53 SZS output start Proof for theBenchmark.p % 8.31/8.53 Clause #0 (by assumption #[]): Eq (∀ (X : a), ord_less_eq extended_ereal (g X) (f X)) True % 8.31/8.53 Clause #312 (by assumption #[]): Eq (Not (ord_less_eq extended_ereal (g x) (f x))) True % 8.31/8.53 Clause #313 (by clausification #[0]): ∀ (a : a), Eq (ord_less_eq extended_ereal (g a) (f a)) True % 8.31/8.53 Clause #3203 (by clausification #[312]): Eq (ord_less_eq extended_ereal (g x) (f x)) False % 8.31/8.53 Clause #3204 (by superposition #[3203, 313]): Eq False True % 8.31/8.53 Clause #3223 (by clausification #[3204]): False % 8.31/8.53 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------