%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:06:23 AM UTC 2026 % Result : Theorem 11.07s 11.30s % Output : Proof 11.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : duper %s % 0.10/0.36 % Computer : n026.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 14:14:27 UTC 2026 % 0.10/0.36 % CPUTime : % 11.07/11.30 SZS status Theorem for theBenchmark.p % 11.07/11.30 SZS output start Proof for theBenchmark.p % 11.07/11.30 Clause #5 (by assumption #[]): Eq (∀ (X Y : Iota), less X Y → leq X Y) True % 11.07/11.30 Clause #8 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (leq X Y) (leq Y Z) → leq X Z) True % 11.07/11.30 Clause #32 (by assumption #[]): Eq (less v400 v800) True % 11.07/11.30 Clause #34 (by assumption #[]): Eq (Not (∀ (X : Iota), leq v800 X → leq v400 X)) True % 11.07/11.30 Clause #48 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), less a Y → leq a Y) True % 11.07/11.30 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Eq (less a a_1 → leq a a_1) True % 11.07/11.30 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (leq a a_1) True) % 11.07/11.30 Clause #52 (by superposition #[50, 32]): Or (Eq (leq v400 v800) True) (Eq False True) % 11.07/11.30 Clause #55 (by clausification #[52]): Eq (leq v400 v800) True % 11.07/11.30 Clause #109 (by clausification #[34]): Eq (∀ (X : Iota), leq v800 X → leq v400 X) False % 11.07/11.30 Clause #110 (by clausification #[109]): ∀ (a : Iota), Eq (Not (leq v800 (skS.0 0 a) → leq v400 (skS.0 0 a))) True % 11.07/11.30 Clause #111 (by clausification #[110]): ∀ (a : Iota), Eq (leq v800 (skS.0 0 a) → leq v400 (skS.0 0 a)) False % 11.07/11.30 Clause #112 (by clausification #[111]): ∀ (a : Iota), Eq (leq v800 (skS.0 0 a)) True % 11.07/11.30 Clause #113 (by clausification #[111]): ∀ (a : Iota), Eq (leq v400 (skS.0 0 a)) False % 11.07/11.30 Clause #167 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (leq a Y) (leq Y Z) → leq a Z) True % 11.07/11.30 Clause #168 (by clausification #[167]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (leq a a_1) (leq a_1 Z) → leq a Z) True % 11.07/11.30 Clause #169 (by clausification #[168]): ∀ (a a_1 a_2 : Iota), Eq (And (leq a a_1) (leq a_1 a_2) → leq a a_2) True % 11.07/11.30 Clause #170 (by clausification #[169]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (leq a a_1) (leq a_1 a_2)) False) (Eq (leq a a_2) True) % 11.07/11.30 Clause #171 (by clausification #[170]): ∀ (a a_1 a_2 : Iota), Or (Eq (leq a a_1) True) (Or (Eq (leq a a_2) False) (Eq (leq a_2 a_1) False)) % 11.07/11.30 Clause #173 (by superposition #[171, 55]): ∀ (a : Iota), Or (Eq (leq v400 a) True) (Or (Eq (leq v800 a) False) (Eq False True)) % 11.07/11.30 Clause #225 (by clausification #[173]): ∀ (a : Iota), Or (Eq (leq v400 a) True) (Eq (leq v800 a) False) % 11.07/11.30 Clause #226 (by superposition #[225, 112]): ∀ (a : Iota), Or (Eq (leq v400 (skS.0 0 a)) True) (Eq False True) % 11.07/11.30 Clause #1114 (by clausification #[226]): ∀ (a : Iota), Eq (leq v400 (skS.0 0 a)) True % 11.07/11.30 Clause #1115 (by superposition #[1114, 113]): Eq True False % 11.07/11.30 Clause #1141 (by clausification #[1115]): False % 11.07/11.30 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------