%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM302+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 07:56:19 PM UTC 2025 % Result : Theorem 32.56s 32.74s % Output : Proof 32.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM302+1 : TPTP v9.2.0. Released v3.1.0. % 0.12/0.14 % Command : duper %s % 0.15/0.35 % Computer : n029.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Fri Oct 3 08:44:38 EDT 2025 % 0.15/0.35 % CPUTime : % 32.56/32.74 SZS status Theorem for theBenchmark.p % 32.56/32.74 SZS output start Proof for theBenchmark.p % 32.56/32.74 Clause #0 (by assumption #[]): Eq (rdn_translate n0 (rdn_pos (rdnn n0))) True % 32.56/32.74 Clause #129 (by assumption #[]): Eq (rdn_translate nn2 (rdn_neg (rdnn n2))) True % 32.56/32.74 Clause #281 (by assumption #[]): Eq (∀ (X Y RDN_X RDN_Y : Iota), And (rdn_translate X (rdn_neg RDN_X)) (rdn_translate Y (rdn_pos RDN_Y)) → less X Y) True % 32.56/32.74 Clause #401 (by assumption #[]): Eq (Not (Exists fun X => less nn2 X)) True % 32.56/32.74 Clause #427 (by betaEtaReduce #[401]): Eq (Not (Exists (less nn2))) True % 32.56/32.74 Clause #428 (by clausification #[427]): Eq (Exists (less nn2)) False % 32.56/32.74 Clause #429 (by clausification #[428]): ∀ (a : Iota), Eq (less nn2 a) False % 32.56/32.74 Clause #446 (by clausification #[281]): ∀ (a : Iota), % 32.56/32.74 Eq (∀ (Y RDN_X RDN_Y : Iota), And (rdn_translate a (rdn_neg RDN_X)) (rdn_translate Y (rdn_pos RDN_Y)) → less a Y) True % 32.56/32.74 Clause #447 (by clausification #[446]): ∀ (a a_1 : Iota), % 32.56/32.74 Eq (∀ (RDN_X RDN_Y : Iota), And (rdn_translate a (rdn_neg RDN_X)) (rdn_translate a_1 (rdn_pos RDN_Y)) → less a a_1) % 32.56/32.74 True % 32.56/32.74 Clause #448 (by clausification #[447]): ∀ (a a_1 a_2 : Iota), % 32.56/32.74 Eq (∀ (RDN_Y : Iota), And (rdn_translate a (rdn_neg a_1)) (rdn_translate a_2 (rdn_pos RDN_Y)) → less a a_2) True % 32.56/32.74 Clause #449 (by clausification #[448]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (rdn_translate a (rdn_neg a_1)) (rdn_translate a_2 (rdn_pos a_3)) → less a a_2) True % 32.56/32.74 Clause #450 (by clausification #[449]): ∀ (a a_1 a_2 a_3 : Iota), % 32.56/32.74 Or (Eq (And (rdn_translate a (rdn_neg a_1)) (rdn_translate a_2 (rdn_pos a_3))) False) (Eq (less a a_2) True) % 32.56/32.74 Clause #451 (by clausification #[450]): ∀ (a a_1 a_2 a_3 : Iota), % 32.56/32.74 Or (Eq (less a a_1) True) (Or (Eq (rdn_translate a (rdn_neg a_2)) False) (Eq (rdn_translate a_1 (rdn_pos a_3)) False)) % 32.56/32.74 Clause #459 (by superposition #[451, 129]): ∀ (a a_1 : Iota), Or (Eq (less nn2 a) True) (Or (Eq (rdn_translate a (rdn_pos a_1)) False) (Eq False True)) % 32.56/32.74 Clause #9764 (by clausification #[459]): ∀ (a a_1 : Iota), Or (Eq (less nn2 a) True) (Eq (rdn_translate a (rdn_pos a_1)) False) % 32.56/32.74 Clause #9765 (by forward demodulation #[9764, 429]): ∀ (a a_1 : Iota), Or (Eq False True) (Eq (rdn_translate a (rdn_pos a_1)) False) % 32.56/32.74 Clause #9766 (by clausification #[9765]): ∀ (a a_1 : Iota), Eq (rdn_translate a (rdn_pos a_1)) False % 32.56/32.74 Clause #9767 (by superposition #[9766, 0]): Eq False True % 32.56/32.74 Clause #9770 (by clausification #[9767]): False % 32.56/32.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------