%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP044^1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 07:51:06 PM UTC 2025 % Result : Theorem 18.14s 18.35s % Output : Proof 18.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ITP044^1 : TPTP v9.2.0. Released v7.5.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n006.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 : Thu Oct 2 22:34:23 EDT 2025 % 0.13/0.34 % CPUTime : % 18.14/18.35 SZS status Theorem for theBenchmark.p % 18.14/18.35 SZS output start Proof for theBenchmark.p % 18.14/18.35 Clause #0 (by assumption #[]): Eq (Eq v fun F => descar2095969287nges_a (coeffs_a F)) True % 18.14/18.35 Clause #6 (by assumption #[]): Eq % 18.14/18.35 (∀ (Xs : list_a) (P2 : poly_a), % 18.14/18.35 Eq (poly_a2 Xs) P2 → Eq (descar2095969287nges_a Xs) (descar2095969287nges_a (coeffs_a P2))) % 18.14/18.35 True % 18.14/18.35 Clause #7 (by assumption #[]): Eq (Eq ys (append_a (coeffs_a g) (cons_a zero_zero_a nil_a))) True % 18.14/18.35 Clause #13 (by assumption #[]): Eq (∀ (P2 : poly_a), Eq (poly_a2 (coeffs_a P2)) P2) True % 18.14/18.35 Clause #66 (by assumption #[]): Eq (∀ (As : list_a), Eq (poly_a2 (append_a As (cons_a zero_zero_a nil_a))) (poly_a2 As)) True % 18.14/18.35 Clause #307 (by assumption #[]): Eq (Not (Eq (descar2095969287nges_a ys) (descar2095969287nges_a (coeffs_a g)))) True % 18.14/18.35 Clause #312 (by clausification #[0]): Eq v fun F => descar2095969287nges_a (coeffs_a F) % 18.14/18.35 Clause #313 (by argument congruence #[312]): ∀ (a : poly_a), Eq (v a) ((fun F => descar2095969287nges_a (coeffs_a F)) a) % 18.14/18.35 Clause #695 (by clausification #[6]): ∀ (a : list_a), % 18.14/18.35 Eq (∀ (P2 : poly_a), Eq (poly_a2 a) P2 → Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a P2))) True % 18.14/18.35 Clause #696 (by clausification #[695]): ∀ (a : list_a) (a_1 : poly_a), % 18.14/18.35 Eq (Eq (poly_a2 a) a_1 → Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a a_1))) True % 18.14/18.35 Clause #697 (by clausification #[696]): ∀ (a : list_a) (a_1 : poly_a), % 18.14/18.35 Or (Eq (Eq (poly_a2 a) a_1) False) (Eq (Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a a_1))) True) % 18.14/18.35 Clause #698 (by clausification #[697]): ∀ (a : list_a) (a_1 : poly_a), % 18.14/18.35 Or (Eq (Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a a_1))) True) (Ne (poly_a2 a) a_1) % 18.14/18.35 Clause #699 (by clausification #[698]): ∀ (a : list_a) (a_1 : poly_a), % 18.14/18.35 Or (Ne (poly_a2 a) a_1) (Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a a_1))) % 18.14/18.35 Clause #700 (by destructive equality resolution #[699]): ∀ (a : list_a), Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a (poly_a2 a))) % 18.14/18.35 Clause #792 (by clausification #[7]): Eq ys (append_a (coeffs_a g) (cons_a zero_zero_a nil_a)) % 18.14/18.35 Clause #1052 (by betaEtaReduce #[313]): ∀ (a : poly_a), Eq (v a) (descar2095969287nges_a (coeffs_a a)) % 18.14/18.35 Clause #1053 (by superposition #[1052, 700]): ∀ (a : list_a), Eq (descar2095969287nges_a a) (v (poly_a2 a)) % 18.14/18.35 Clause #1586 (by clausification #[13]): ∀ (a : poly_a), Eq (Eq (poly_a2 (coeffs_a a)) a) True % 18.14/18.35 Clause #1587 (by clausification #[1586]): ∀ (a : poly_a), Eq (poly_a2 (coeffs_a a)) a % 18.14/18.35 Clause #4795 (by clausification #[66]): ∀ (a : list_a), Eq (Eq (poly_a2 (append_a a (cons_a zero_zero_a nil_a))) (poly_a2 a)) True % 18.14/18.35 Clause #4796 (by clausification #[4795]): ∀ (a : list_a), Eq (poly_a2 (append_a a (cons_a zero_zero_a nil_a))) (poly_a2 a) % 18.14/18.35 Clause #4799 (by superposition #[4796, 792]): Eq (poly_a2 ys) (poly_a2 (coeffs_a g)) % 18.14/18.35 Clause #4829 (by superposition #[4799, 1587]): Eq (poly_a2 ys) g % 18.14/18.35 Clause #4862 (by superposition #[4829, 1053]): Eq (descar2095969287nges_a ys) (v g) % 18.14/18.35 Clause #7254 (by clausification #[307]): Eq (Eq (descar2095969287nges_a ys) (descar2095969287nges_a (coeffs_a g))) False % 18.14/18.35 Clause #7255 (by clausification #[7254]): Ne (descar2095969287nges_a ys) (descar2095969287nges_a (coeffs_a g)) % 18.14/18.35 Clause #7256 (by forward demodulation #[7255, 1052]): Ne (descar2095969287nges_a ys) (v g) % 18.14/18.35 Clause #7257 (by forward demodulation #[7256, 4862]): Ne (descar2095969287nges_a ys) (descar2095969287nges_a ys) % 18.14/18.35 Clause #7258 (by eliminate resolved literals #[7257]): False % 18.14/18.35 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------