%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 38.66s 39.01s % Output : Proof 38.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.05 % Command : duper %s % 0.10/0.37 % Computer : n001.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 14:23:07 UTC 2026 % 0.10/0.37 % CPUTime : % 38.66/39.01 SZS status Theorem for theBenchmark.p % 38.66/39.01 SZS output start Proof for theBenchmark.p % 38.66/39.01 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), Not (less X X)) True % 38.66/39.01 Clause #1 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (less X Y) (less Y Z) → less X Z) True % 38.66/39.01 Clause #12 (by assumption #[]): Eq (∀ (X A B : Iota), Iff (in_open X A B) (And (less A X) (less X B))) True % 38.66/39.01 Clause #31 (by assumption #[]): Eq (Not (Not (Exists fun X => And (in_open X v0 v600) (less v600 X)))) True % 38.66/39.01 Clause #32 (by clausification #[0]): ∀ (a : Iota), Eq (Not (less a a)) True % 38.66/39.01 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (less a a) False % 38.66/39.01 Clause #38 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (less a Y) (less Y Z) → less a Z) True % 38.66/39.01 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (less a a_1) (less a_1 Z) → less a Z) True % 38.66/39.01 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (And (less a a_1) (less a_1 a_2) → less a a_2) True % 38.66/39.01 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (less a a_1) (less a_1 a_2)) False) (Eq (less a a_2) True) % 38.66/39.01 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Or (Eq (less a a_1) True) (Or (Eq (less a a_2) False) (Eq (less a_2 a_1) False)) % 38.66/39.01 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 % 38.66/39.01 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 % 38.66/39.01 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 % 38.66/39.01 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) % 38.66/39.01 Clause #499 (by clausification #[31]): Eq (Not (Exists fun X => And (in_open X v0 v600) (less v600 X))) False % 38.66/39.01 Clause #500 (by clausification #[499]): Eq (Exists fun X => And (in_open X v0 v600) (less v600 X)) True % 38.66/39.01 Clause #501 (by clausification #[500]): ∀ (a : Iota), Eq (And (in_open (skS.0 2 a) v0 v600) (less v600 (skS.0 2 a))) True % 38.66/39.01 Clause #502 (by clausification #[501]): ∀ (a : Iota), Eq (less v600 (skS.0 2 a)) True % 38.66/39.01 Clause #503 (by clausification #[501]): ∀ (a : Iota), Eq (in_open (skS.0 2 a) v0 v600) True % 38.66/39.01 Clause #506 (by superposition #[502, 42]): ∀ (a a_1 : Iota), Or (Eq (less v600 a) True) (Or (Eq True False) (Eq (less (skS.0 2 a_1) a) False)) % 38.66/39.01 Clause #2505 (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) % 38.66/39.01 Clause #2507 (by superposition #[2505, 503]): ∀ (a : Iota), Or (Eq (less (skS.0 2 a) v600) True) (Eq False True) % 38.66/39.01 Clause #2514 (by clausification #[2507]): ∀ (a : Iota), Eq (less (skS.0 2 a) v600) True % 38.66/39.01 Clause #14071 (by clausification #[506]): ∀ (a a_1 : Iota), Or (Eq (less v600 a) True) (Eq (less (skS.0 2 a_1) a) False) % 38.66/39.01 Clause #14072 (by superposition #[14071, 2514]): Or (Eq (less v600 v600) True) (Eq False True) % 38.66/39.01 Clause #14110 (by clausification #[14072]): Eq (less v600 v600) True % 38.66/39.01 Clause #14116 (by superposition #[14110, 33]): Eq True False % 38.66/39.01 Clause #14147 (by clausification #[14116]): False % 38.66/39.01 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------