%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT102+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:06:24 AM UTC 2026 % Result : Unsatisfiable 8.67s 8.93s % Output : Proof 8.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT102+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : duper %s % 0.08/0.34 % Computer : n003.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Mon Sep 7 14:39:39 UTC 2026 % 0.08/0.35 % CPUTime : % 8.67/8.93 SZS status Theorem for theBenchmark.p % 8.67/8.93 SZS output start Proof for theBenchmark.p % 8.67/8.93 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), Not (less X X)) True % 8.67/8.93 Clause #4 (by assumption #[]): Eq (∀ (X Y : Iota), And (leq X Y) (leq Y X) → Eq X Y) True % 8.67/8.93 Clause #5 (by assumption #[]): Eq (∀ (X Y : Iota), less X Y → leq X Y) True % 8.67/8.93 Clause #31 (by assumption #[]): Eq (less v600 v700) True % 8.67/8.93 Clause #33 (by assumption #[]): Eq (And (less v700 v600) (less v600 v700)) True % 8.67/8.93 Clause #34 (by clausification #[0]): ∀ (a : Iota), Eq (Not (less a a)) True % 8.67/8.93 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (less a a) False % 8.67/8.93 Clause #46 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), less a Y → leq a Y) True % 8.67/8.93 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Eq (less a a_1 → leq a a_1) True % 8.67/8.93 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (leq a a_1) True) % 8.67/8.93 Clause #49 (by superposition #[48, 31]): Or (Eq (leq v600 v700) True) (Eq False True) % 8.67/8.93 Clause #52 (by clausification #[49]): Eq (leq v600 v700) True % 8.67/8.93 Clause #53 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), And (leq a Y) (leq Y a) → Eq a Y) True % 8.67/8.93 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (And (leq a a_1) (leq a_1 a) → Eq a a_1) True % 8.67/8.93 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (And (leq a a_1) (leq a_1 a)) False) (Eq (Eq a a_1) True) % 8.67/8.93 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota), Or (Eq (Eq a a_1) True) (Or (Eq (leq a a_1) False) (Eq (leq a_1 a) False)) % 8.67/8.93 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) False) (Or (Eq (leq a_1 a) False) (Eq a a_1)) % 8.67/8.93 Clause #59 (by superposition #[57, 52]): Or (Eq (leq v700 v600) False) (Or (Eq v600 v700) (Eq False True)) % 8.67/8.93 Clause #108 (by clausification #[59]): Or (Eq (leq v700 v600) False) (Eq v600 v700) % 8.67/8.93 Clause #149 (by clausification #[33]): Eq (less v700 v600) True % 8.67/8.93 Clause #151 (by superposition #[149, 48]): Or (Eq True False) (Eq (leq v700 v600) True) % 8.67/8.93 Clause #157 (by clausification #[151]): Eq (leq v700 v600) True % 8.67/8.93 Clause #158 (by superposition #[157, 108]): Or (Eq True False) (Eq v600 v700) % 8.67/8.93 Clause #175 (by clausification #[158]): Eq v600 v700 % 8.67/8.93 Clause #176 (by backward demodulation #[175, 31]): Eq (less v600 v600) True % 8.67/8.93 Clause #179 (by superposition #[176, 35]): Eq True False % 8.67/8.93 Clause #185 (by clausification #[179]): False % 8.67/8.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------