%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT075+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.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 94.66s 94.91s % Output : Proof 94.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT075+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : duper %s % 0.12/0.37 % Computer : n027.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Mon Sep 7 14:14:00 UTC 2026 % 0.12/0.37 % CPUTime : % 94.66/94.91 SZS status Theorem for theBenchmark.p % 94.66/94.91 SZS output start Proof for theBenchmark.p % 94.66/94.91 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), Not (less X X)) True % 94.66/94.91 Clause #4 (by assumption #[]): Eq (∀ (X Y : Iota), And (leq X Y) (leq Y X) → Eq X Y) True % 94.66/94.91 Clause #5 (by assumption #[]): Eq (∀ (X Y : Iota), less X Y → leq X Y) True % 94.66/94.91 Clause #12 (by assumption #[]): Eq (∀ (X A B : Iota), Iff (in_open X A B) (And (less A X) (less X B))) True % 94.66/94.91 Clause #31 (by assumption #[]): Eq (Not (Not (Exists fun X => And (in_open X v0 v600) (leq v600 X)))) True % 94.66/94.91 Clause #32 (by clausification #[0]): ∀ (a : Iota), Eq (Not (less a a)) True % 94.66/94.91 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (less a a) False % 94.66/94.91 Clause #44 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), less a Y → leq a Y) True % 94.66/94.91 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Eq (less a a_1 → leq a a_1) True % 94.66/94.91 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (leq a a_1) True) % 94.66/94.91 Clause #49 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), And (leq a Y) (leq Y a) → Eq a Y) True % 94.66/94.91 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Eq (And (leq a a_1) (leq a_1 a) → Eq a a_1) True % 94.66/94.91 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Or (Eq (And (leq a a_1) (leq a_1 a)) False) (Eq (Eq a a_1) True) % 94.66/94.91 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (Eq a a_1) True) (Or (Eq (leq a a_1) False) (Eq (leq a_1 a) False)) % 94.66/94.91 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) False) (Or (Eq (leq a_1 a) False) (Eq a a_1)) % 94.66/94.91 Clause #282 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (A B : Iota), Iff (in_open a A B) (And (less A a) (less a B))) True % 94.66/94.91 Clause #283 (by clausification #[282]): ∀ (a a_1 : Iota), Eq (∀ (B : Iota), Iff (in_open a a_1 B) (And (less a_1 a) (less a B))) True % 94.66/94.91 Clause #284 (by clausification #[283]): ∀ (a a_1 a_2 : Iota), Eq (Iff (in_open a a_1 a_2) (And (less a_1 a) (less a a_2))) True % 94.66/94.91 Clause #286 (by clausification #[284]): ∀ (a a_1 a_2 : Iota), Or (Eq (in_open a a_1 a_2) False) (Eq (And (less a_1 a) (less a a_2)) True) % 94.66/94.91 Clause #499 (by clausification #[31]): Eq (Not (Exists fun X => And (in_open X v0 v600) (leq v600 X))) False % 94.66/94.91 Clause #500 (by clausification #[499]): Eq (Exists fun X => And (in_open X v0 v600) (leq v600 X)) True % 94.66/94.91 Clause #501 (by clausification #[500]): ∀ (a : Iota), Eq (And (in_open (skS.0 2 a) v0 v600) (leq v600 (skS.0 2 a))) True % 94.66/94.91 Clause #502 (by clausification #[501]): ∀ (a : Iota), Eq (leq v600 (skS.0 2 a)) True % 94.66/94.91 Clause #503 (by clausification #[501]): ∀ (a : Iota), Eq (in_open (skS.0 2 a) v0 v600) True % 94.66/94.91 Clause #507 (by superposition #[502, 53]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (leq (skS.0 2 a) v600) False) (Eq v600 (skS.0 2 a))) % 94.66/94.91 Clause #2306 (by clausification #[286]): ∀ (a a_1 a_2 : Iota), Or (Eq (in_open a a_1 a_2) False) (Eq (less a a_2) True) % 94.66/94.91 Clause #2308 (by superposition #[2306, 503]): ∀ (a : Iota), Or (Eq (less (skS.0 2 a) v600) True) (Eq False True) % 94.66/94.91 Clause #2323 (by clausification #[2308]): ∀ (a : Iota), Eq (less (skS.0 2 a) v600) True % 94.66/94.91 Clause #2325 (by superposition #[2323, 46]): ∀ (a : Iota), Or (Eq True False) (Eq (leq (skS.0 2 a) v600) True) % 94.66/94.91 Clause #2339 (by clausification #[2325]): ∀ (a : Iota), Eq (leq (skS.0 2 a) v600) True % 94.66/94.91 Clause #14487 (by clausification #[507]): ∀ (a : Iota), Or (Eq (leq (skS.0 2 a) v600) False) (Eq v600 (skS.0 2 a)) % 94.66/94.91 Clause #14488 (by superposition #[14487, 2339]): ∀ (a : Iota), Or (Eq v600 (skS.0 2 a)) (Eq False True) % 94.66/94.91 Clause #14523 (by clausification #[14488]): ∀ (a : Iota), Eq v600 (skS.0 2 a) % 94.66/94.91 Clause #14526 (by backward demodulation #[14523, 2323]): Eq (less v600 v600) True % 94.66/94.91 Clause #14533 (by superposition #[14526, 33]): Eq True False % 94.66/94.91 Clause #14565 (by clausification #[14533]): False % 94.66/94.91 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------