%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM293+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 17.44s 17.63s % Output : Proof 17.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM293+1 : TPTP v9.2.0. Released v3.1.0. % 0.06/0.13 % Command : duper %s % 0.14/0.35 % Computer : n005.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 08:42:23 EDT 2025 % 0.14/0.35 % CPUTime : % 17.44/17.63 SZS status Theorem for theBenchmark.p % 17.44/17.63 SZS output start Proof for theBenchmark.p % 17.44/17.63 Clause #13 (by assumption #[]): Eq (rdn_translate n13 (rdn_pos (rdn (rdnn n3) (rdnn n1)))) True % 17.44/17.63 Clause #133 (by assumption #[]): Eq (rdn_translate nn6 (rdn_neg (rdnn n6))) True % 17.44/17.63 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 % 17.44/17.63 Clause #401 (by assumption #[]): Eq (Not (Exists fun X => less X n13)) True % 17.44/17.63 Clause #427 (by clausification #[401]): Eq (Exists fun X => less X n13) False % 17.44/17.63 Clause #428 (by clausification #[427]): ∀ (a : Iota), Eq (less a n13) False % 17.44/17.63 Clause #445 (by clausification #[281]): ∀ (a : Iota), % 17.44/17.63 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 % 17.44/17.63 Clause #446 (by clausification #[445]): ∀ (a a_1 : Iota), % 17.44/17.63 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) % 17.44/17.63 True % 17.44/17.63 Clause #447 (by clausification #[446]): ∀ (a a_1 a_2 : Iota), % 17.44/17.63 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 % 17.44/17.63 Clause #448 (by clausification #[447]): ∀ (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 % 17.44/17.63 Clause #449 (by clausification #[448]): ∀ (a a_1 a_2 a_3 : Iota), % 17.44/17.63 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) % 17.44/17.63 Clause #450 (by clausification #[449]): ∀ (a a_1 a_2 a_3 : Iota), % 17.44/17.63 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)) % 17.44/17.63 Clause #454 (by superposition #[450, 133]): ∀ (a a_1 : Iota), Or (Eq (less nn6 a) True) (Or (Eq (rdn_translate a (rdn_pos a_1)) False) (Eq False True)) % 17.44/17.63 Clause #763 (by clausification #[454]): ∀ (a a_1 : Iota), Or (Eq (less nn6 a) True) (Eq (rdn_translate a (rdn_pos a_1)) False) % 17.44/17.63 Clause #786 (by superposition #[763, 13]): Or (Eq (less nn6 n13) True) (Eq False True) % 17.44/17.63 Clause #1031 (by clausification #[786]): Eq (less nn6 n13) True % 17.44/17.63 Clause #1032 (by superposition #[1031, 428]): Eq True False % 17.44/17.63 Clause #1034 (by clausification #[1032]): False % 17.44/17.63 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------