%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM295+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 07:56:18 PM UTC 2025 % Result : Theorem 26.35s 26.54s % Output : Proof 26.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : NUM295+1 : TPTP v9.2.0. Released v3.1.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n021.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 : Fri Oct 3 08:31:08 EDT 2025 % 0.13/0.34 % CPUTime : % 26.35/26.54 SZS status Theorem for theBenchmark.p % 26.35/26.54 SZS output start Proof for theBenchmark.p % 26.35/26.54 Clause #127 (by assumption #[]): Eq (rdn_translate n127 (rdn_pos (rdn (rdnn n7) (rdn (rdnn n2) (rdnn n1))))) True % 26.35/26.54 Clause #132 (by assumption #[]): Eq (rdn_translate nn5 (rdn_neg (rdnn n5))) True % 26.35/26.54 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 % 26.35/26.54 Clause #401 (by assumption #[]): Eq (Not (Exists fun X => Exists fun Y => less X Y)) True % 26.35/26.54 Clause #443 (by clausification #[281]): ∀ (a : Iota), % 26.35/26.54 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 % 26.35/26.54 Clause #444 (by clausification #[443]): ∀ (a a_1 : Iota), % 26.35/26.54 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) % 26.35/26.54 True % 26.35/26.54 Clause #445 (by clausification #[444]): ∀ (a a_1 a_2 : Iota), % 26.35/26.54 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 % 26.35/26.54 Clause #446 (by clausification #[445]): ∀ (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 % 26.35/26.54 Clause #447 (by clausification #[446]): ∀ (a a_1 a_2 a_3 : Iota), % 26.35/26.54 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) % 26.35/26.54 Clause #448 (by clausification #[447]): ∀ (a a_1 a_2 a_3 : Iota), % 26.35/26.54 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)) % 26.35/26.54 Clause #453 (by superposition #[448, 132]): ∀ (a a_1 : Iota), Or (Eq (less nn5 a) True) (Or (Eq (rdn_translate a (rdn_pos a_1)) False) (Eq False True)) % 26.35/26.54 Clause #762 (by clausification #[453]): ∀ (a a_1 : Iota), Or (Eq (less nn5 a) True) (Eq (rdn_translate a (rdn_pos a_1)) False) % 26.35/26.54 Clause #890 (by superposition #[762, 127]): Or (Eq (less nn5 n127) True) (Eq False True) % 26.35/26.54 Clause #891 (by clausification #[890]): Eq (less nn5 n127) True % 26.35/26.54 Clause #8209 (by betaEtaReduce #[401]): Eq (Not (Exists fun X => Exists (less X))) True % 26.35/26.54 Clause #8210 (by clausification #[8209]): Eq (Exists fun X => Exists (less X)) False % 26.35/26.54 Clause #8211 (by clausification #[8210]): ∀ (a : Iota), Eq (Exists (less a)) False % 26.35/26.54 Clause #8212 (by clausification #[8211]): ∀ (a a_1 : Iota), Eq (less a a_1) False % 26.35/26.54 Clause #8214 (by superposition #[8212, 891]): Eq False True % 26.35/26.54 Clause #8217 (by clausification #[8214]): False % 26.35/26.54 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------