%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 11.25s 11.54s % Output : Proof 11.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.05 % Command : duper %s % 0.09/0.36 % Computer : n028.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % 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 14:24:02 UTC 2026 % 0.10/0.36 % CPUTime : % 11.25/11.54 SZS status Theorem for theBenchmark.p % 11.25/11.54 SZS output start Proof for theBenchmark.p % 11.25/11.54 Clause #3 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (leq X Y) (Or (less X Y) (Eq X Y))) True % 11.25/11.54 Clause #11 (by assumption #[]): Eq (∀ (X A B : Iota), Iff (in_lopen X A B) (And (less A X) (leq X B))) True % 11.25/11.54 Clause #33 (by assumption #[]): Eq (less v0 v400) True % 11.25/11.54 Clause #35 (by assumption #[]): Eq (less v200 v400) True % 11.25/11.54 Clause #39 (by assumption #[]): Eq (Not (Exists fun X => And (less v200 X) (in_lopen X v0 v400))) True % 11.25/11.54 Clause #134 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (leq a Y) (Or (less a Y) (Eq a Y))) True % 11.25/11.54 Clause #135 (by clausification #[134]): ∀ (a a_1 : Iota), Eq (Iff (leq a a_1) (Or (less a a_1) (Eq a a_1))) True % 11.25/11.54 Clause #136 (by clausification #[135]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Eq (Or (less a a_1) (Eq a a_1)) False) % 11.25/11.54 Clause #138 (by clausification #[136]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Eq (Eq a a_1) False) % 11.25/11.54 Clause #140 (by clausification #[138]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Ne a a_1) % 11.25/11.54 Clause #141 (by destructive equality resolution #[140]): ∀ (a : Iota), Eq (leq a a) True % 11.25/11.54 Clause #323 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (A B : Iota), Iff (in_lopen a A B) (And (less A a) (leq a B))) True % 11.25/11.54 Clause #324 (by clausification #[323]): ∀ (a a_1 : Iota), Eq (∀ (B : Iota), Iff (in_lopen a a_1 B) (And (less a_1 a) (leq a B))) True % 11.25/11.54 Clause #325 (by clausification #[324]): ∀ (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 % 11.25/11.54 Clause #326 (by clausification #[325]): ∀ (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) % 11.25/11.54 Clause #328 (by clausification #[326]): ∀ (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)) % 11.25/11.54 Clause #333 (by superposition #[328, 33]): ∀ (a : Iota), Or (Eq (in_lopen v400 v0 a) True) (Or (Eq (leq v400 a) False) (Eq False True)) % 11.25/11.54 Clause #640 (by clausification #[39]): Eq (Exists fun X => And (less v200 X) (in_lopen X v0 v400)) False % 11.25/11.54 Clause #641 (by clausification #[640]): ∀ (a : Iota), Eq (And (less v200 a) (in_lopen a v0 v400)) False % 11.25/11.54 Clause #642 (by clausification #[641]): ∀ (a : Iota), Or (Eq (less v200 a) False) (Eq (in_lopen a v0 v400) False) % 11.25/11.54 Clause #643 (by superposition #[642, 35]): Or (Eq (in_lopen v400 v0 v400) False) (Eq False True) % 11.25/11.54 Clause #658 (by clausification #[643]): Eq (in_lopen v400 v0 v400) False % 11.25/11.54 Clause #1031 (by clausification #[333]): ∀ (a : Iota), Or (Eq (in_lopen v400 v0 a) True) (Eq (leq v400 a) False) % 11.25/11.54 Clause #1033 (by superposition #[1031, 141]): Or (Eq (in_lopen v400 v0 v400) True) (Eq False True) % 11.25/11.54 Clause #1072 (by clausification #[1033]): Eq (in_lopen v400 v0 v400) True % 11.25/11.54 Clause #1073 (by superposition #[1072, 658]): Eq True False % 11.25/11.54 Clause #1078 (by clausification #[1073]): False % 11.25/11.54 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------