%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP196^2 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 07:51:25 PM UTC 2025 % Result : Theorem 3.61s 3.80s % Output : Proof 3.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ITP196^2 : TPTP v9.2.0. Released v7.5.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n020.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 22:41:38 EDT 2025 % 0.13/0.35 % CPUTime : % 3.61/3.80 SZS status Theorem for theBenchmark.p % 3.61/3.80 SZS output start Proof for theBenchmark.p % 3.61/3.80 Clause #0 (by assumption #[]): Eq (∀ (Ps : list (poly real)), sturm_2060350619rm_seq Ps → Ne Ps (nil (poly real))) True % 3.61/3.80 Clause #278 (by assumption #[]): Eq (Not (Not (sturm_2060350619rm_seq (nil (poly real))))) True % 3.61/3.80 Clause #279 (by clausification #[0]): ∀ (a : list (poly real)), Eq (sturm_2060350619rm_seq a → Ne a (nil (poly real))) True % 3.61/3.80 Clause #280 (by clausification #[279]): ∀ (a : list (poly real)), Or (Eq (sturm_2060350619rm_seq a) False) (Eq (Ne a (nil (poly real))) True) % 3.61/3.80 Clause #281 (by clausification #[280]): ∀ (a : list (poly real)), Or (Eq (sturm_2060350619rm_seq a) False) (Ne a (nil (poly real))) % 3.61/3.80 Clause #282 (by destructive equality resolution #[281]): Eq (sturm_2060350619rm_seq (nil (poly real))) False % 3.61/3.80 Clause #365 (by clausification #[278]): Eq (Not (sturm_2060350619rm_seq (nil (poly real)))) False % 3.61/3.80 Clause #366 (by clausification #[365]): Eq (sturm_2060350619rm_seq (nil (poly real))) True % 3.61/3.80 Clause #367 (by superposition #[366, 282]): Eq True False % 3.61/3.80 Clause #369 (by clausification #[367]): False % 3.61/3.80 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------