%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM304+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.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 8.87s 9.01s % Output : Proof 8.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM304+1 : TPTP v9.2.0. Released v3.1.0. % 0.13/0.14 % Command : duper %s % 0.15/0.35 % Computer : n003.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 07:09:23 EDT 2025 % 0.21/0.35 % CPUTime : % 8.87/9.01 SZS status Theorem for theBenchmark.p % 8.87/9.01 SZS output start Proof for theBenchmark.p % 8.87/9.01 Clause #29 (by assumption #[]): Eq (rdn_translate n29 (rdn_pos (rdn (rdnn n9) (rdnn n2)))) True % 8.87/9.01 Clause #151 (by assumption #[]): Eq (rdn_translate nn24 (rdn_neg (rdn (rdnn n4) (rdnn n2)))) True % 8.87/9.01 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 % 8.87/9.01 Clause #283 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (less X Y) (And (Not (less Y X)) (Ne Y X))) True % 8.87/9.01 Clause #401 (by assumption #[]): Eq (Not (Exists fun X => Ne X n12)) True % 8.87/9.01 Clause #443 (by clausification #[281]): ∀ (a : Iota), % 8.87/9.01 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 % 8.87/9.01 Clause #444 (by clausification #[443]): ∀ (a a_1 : Iota), % 8.87/9.01 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) % 8.87/9.01 True % 8.87/9.01 Clause #445 (by clausification #[444]): ∀ (a a_1 a_2 : Iota), % 8.87/9.01 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 % 8.87/9.01 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 % 8.87/9.01 Clause #447 (by clausification #[446]): ∀ (a a_1 a_2 a_3 : Iota), % 8.87/9.01 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) % 8.87/9.01 Clause #448 (by clausification #[447]): ∀ (a a_1 a_2 a_3 : Iota), % 8.87/9.01 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)) % 8.87/9.01 Clause #508 (by superposition #[151, 448]): ∀ (a a_1 : Iota), Or (Eq (less nn24 a) True) (Or (Eq (rdn_translate a (rdn_pos a_1)) False) (Eq False True)) % 8.87/9.01 Clause #523 (by clausification #[401]): Eq (Exists fun X => Ne X n12) False % 8.87/9.01 Clause #524 (by clausification #[523]): ∀ (a : Iota), Eq (Ne a n12) False % 8.87/9.01 Clause #525 (by clausification #[524]): ∀ (a : Iota), Eq a n12 % 8.87/9.01 Clause #954 (by superposition #[525, 525]): ∀ (a a_1 : Iota), Eq a a_1 % 8.87/9.01 Clause #1552 (by superposition #[29, 954]): ∀ (a : Iota), Eq (rdn_translate n29 a) True % 8.87/9.01 Clause #1560 (by superposition #[1552, 954]): ∀ (a a_1 : Iota), Eq (rdn_translate a a_1) True % 8.87/9.01 Clause #1597 (by clausification #[283]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (less a Y) (And (Not (less Y a)) (Ne Y a))) True % 8.87/9.01 Clause #1598 (by clausification #[1597]): ∀ (a a_1 : Iota), Eq (Iff (less a a_1) (And (Not (less a_1 a)) (Ne a_1 a))) True % 8.87/9.01 Clause #1600 (by clausification #[1598]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (And (Not (less a_1 a)) (Ne a_1 a)) True) % 8.87/9.01 Clause #1850 (by clausification #[508]): ∀ (a a_1 : Iota), Or (Eq (less nn24 a) True) (Eq (rdn_translate a (rdn_pos a_1)) False) % 8.87/9.01 Clause #1851 (by superposition #[1850, 1560]): ∀ (a : Iota), Or (Eq (less nn24 a) True) (Eq False True) % 8.87/9.01 Clause #1853 (by clausification #[1851]): ∀ (a : Iota), Eq (less nn24 a) True % 8.87/9.01 Clause #1855 (by superposition #[1853, 954]): ∀ (a a_1 : Iota), Eq (less a a_1) True % 8.87/9.01 Clause #1929 (by clausification #[1600]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (Ne a_1 a) True) % 8.87/9.01 Clause #1931 (by clausification #[1929]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Ne a_1 a) % 8.87/9.01 Clause #1932 (by destructive equality resolution #[1931]): ∀ (a : Iota), Eq (less a a) False % 8.87/9.01 Clause #1933 (by superposition #[1932, 1855]): Eq False True % 8.87/9.01 Clause #1934 (by clausification #[1933]): False % 8.87/9.01 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------