%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT087+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 06:06:23 AM UTC 2026 % Result : Theorem 10.26s 10.56s % Output : Proof 10.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.05 % Command : duper %s % 0.10/0.37 % Computer : n003.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Mon Sep 7 14:22:54 UTC 2026 % 0.10/0.37 % CPUTime : % 10.26/10.56 SZS status Theorem for theBenchmark.p % 10.26/10.56 SZS output start Proof for theBenchmark.p % 10.26/10.56 Clause #5 (by assumption #[]): Eq (∀ (X Y : Iota), less X Y → leq X Y) True % 10.26/10.56 Clause #10 (by assumption #[]): Eq (∀ (X A B : Iota), Iff (in_lopen X A B) (And (less A X) (leq X B))) True % 10.26/10.56 Clause #30 (by assumption #[]): Eq (less v0 v200) True % 10.26/10.56 Clause #32 (by assumption #[]): Eq (less v200 v600) True % 10.26/10.56 Clause #34 (by assumption #[]): Eq (Not (Exists fun X => in_lopen X v0 v600)) True % 10.26/10.56 Clause #48 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), less a Y → leq a Y) True % 10.26/10.56 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Eq (less a a_1 → leq a a_1) True % 10.26/10.56 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (leq a a_1) True) % 10.26/10.56 Clause #52 (by superposition #[50, 32]): Or (Eq (leq v200 v600) True) (Eq False True) % 10.26/10.56 Clause #55 (by clausification #[52]): Eq (leq v200 v600) True % 10.26/10.56 Clause #179 (by clausification #[34]): Eq (Exists fun X => in_lopen X v0 v600) False % 10.26/10.56 Clause #180 (by clausification #[179]): ∀ (a : Iota), Eq (in_lopen a v0 v600) False % 10.26/10.56 Clause #207 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (A B : Iota), Iff (in_lopen a A B) (And (less A a) (leq a B))) True % 10.26/10.56 Clause #208 (by clausification #[207]): ∀ (a a_1 : Iota), Eq (∀ (B : Iota), Iff (in_lopen a a_1 B) (And (less a_1 a) (leq a B))) True % 10.26/10.56 Clause #209 (by clausification #[208]): ∀ (a a_1 a_2 : Iota), Eq (Iff (in_lopen a a_1 a_2) (And (less a_1 a) (leq a a_2))) True % 10.26/10.56 Clause #210 (by clausification #[209]): ∀ (a a_1 a_2 : Iota), Or (Eq (in_lopen a a_1 a_2) True) (Eq (And (less a_1 a) (leq a a_2)) False) % 10.26/10.56 Clause #212 (by clausification #[210]): ∀ (a a_1 a_2 : Iota), Or (Eq (in_lopen a a_1 a_2) True) (Or (Eq (less a_1 a) False) (Eq (leq a a_2) False)) % 10.26/10.56 Clause #215 (by superposition #[212, 30]): ∀ (a : Iota), Or (Eq (in_lopen v200 v0 a) True) (Or (Eq (leq v200 a) False) (Eq False True)) % 10.26/10.56 Clause #867 (by clausification #[215]): ∀ (a : Iota), Or (Eq (in_lopen v200 v0 a) True) (Eq (leq v200 a) False) % 10.26/10.56 Clause #868 (by superposition #[867, 55]): Or (Eq (in_lopen v200 v0 v600) True) (Eq False True) % 10.26/10.56 Clause #908 (by clausification #[868]): Eq (in_lopen v200 v0 v600) True % 10.26/10.56 Clause #909 (by superposition #[908, 180]): Eq True False % 10.26/10.56 Clause #922 (by clausification #[909]): False % 10.26/10.56 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------