%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP094^1 : 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 07:51:12 PM UTC 2025 % Result : Theorem 157.45s 157.67s % Output : Proof 157.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : ITP094^1 : TPTP v9.2.0. Released v7.5.0. % 0.03/0.12 % Command : duper %s % 0.12/0.34 % Computer : n006.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 : Thu Oct 2 22:23:08 EDT 2025 % 0.12/0.34 % CPUTime : % 157.45/157.67 SZS status Theorem for theBenchmark.p % 157.45/157.67 SZS output start Proof for theBenchmark.p % 157.45/157.67 Clause #2 (by assumption #[]): Eq % 157.45/157.67 (∀ (P : poly_real), % 157.45/157.67 Ne P zero_zero_poly_real → finite_finite_real (collect_real fun X => Eq (poly_real2 P X) zero_zero_real)) % 157.45/157.67 True % 157.45/157.67 Clause #4 (by assumption #[]): Eq (Ne (pderiv_real p) zero_zero_poly_real) True % 157.45/157.67 Clause #323 (by assumption #[]): Eq (Not (finite_finite_real (collect_real fun X => Eq (poly_real2 (pderiv_real p) X) zero_zero_real))) True % 157.45/157.67 Clause #365 (by clausification #[2]): ∀ (a : poly_real), % 157.45/157.67 Eq (Ne a zero_zero_poly_real → finite_finite_real (collect_real fun X => Eq (poly_real2 a X) zero_zero_real)) True % 157.45/157.67 Clause #366 (by clausification #[365]): ∀ (a : poly_real), % 157.45/157.67 Or (Eq (Ne a zero_zero_poly_real) False) % 157.45/157.67 (Eq (finite_finite_real (collect_real fun X => Eq (poly_real2 a X) zero_zero_real)) True) % 157.45/157.67 Clause #367 (by clausification #[366]): ∀ (a : poly_real), % 157.45/157.67 Or (Eq (finite_finite_real (collect_real fun X => Eq (poly_real2 a X) zero_zero_real)) True) % 157.45/157.67 (Eq a zero_zero_poly_real) % 157.45/157.67 Clause #422 (by clausification #[4]): Ne (pderiv_real p) zero_zero_poly_real % 157.45/157.67 Clause #43792 (by clausification #[323]): Eq (finite_finite_real (collect_real fun X => Eq (poly_real2 (pderiv_real p) X) zero_zero_real)) False % 157.45/157.67 Clause #43793 (by superposition #[43792, 367]): Or (Eq False True) (Eq (pderiv_real p) zero_zero_poly_real) % 157.45/157.67 Clause #43808 (by clausification #[43793]): Eq (pderiv_real p) zero_zero_poly_real % 157.45/157.67 Clause #43809 (by forward contextual literal cutting #[43808, 422]): False % 157.45/157.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------