%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT089+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 : Theorem 10.05s 10.37s % Output : Proof 10.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT089+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.05 % Command : duper %s % 0.09/0.35 % Computer : n031.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Mon Sep 7 14:03:26 UTC 2026 % 0.12/0.36 % CPUTime : % 10.05/10.37 SZS status Theorem for theBenchmark.p % 10.05/10.37 SZS output start Proof for theBenchmark.p % 10.05/10.37 Clause #3 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (leq X Y) (Or (less X Y) (Eq X Y))) True % 10.05/10.37 Clause #34 (by assumption #[]): Eq (∀ (U L : Iota), Iff (prec U L o o) (leq U L)) True % 10.05/10.37 Clause #47 (by assumption #[]): Eq (Not (prec v5 v5 o o)) True % 10.05/10.37 Clause #127 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (leq a Y) (Or (less a Y) (Eq a Y))) True % 10.05/10.37 Clause #128 (by clausification #[127]): ∀ (a a_1 : Iota), Eq (Iff (leq a a_1) (Or (less a a_1) (Eq a a_1))) True % 10.05/10.37 Clause #129 (by clausification #[128]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Eq (Or (less a a_1) (Eq a a_1)) False) % 10.05/10.37 Clause #131 (by clausification #[129]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Eq (Eq a a_1) False) % 10.05/10.37 Clause #133 (by clausification #[131]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Ne a a_1) % 10.05/10.37 Clause #134 (by destructive equality resolution #[133]): ∀ (a : Iota), Eq (leq a a) True % 10.05/10.37 Clause #140 (by clausification #[47]): Eq (prec v5 v5 o o) False % 10.05/10.37 Clause #652 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (L : Iota), Iff (prec a L o o) (leq a L)) True % 10.05/10.37 Clause #653 (by clausification #[652]): ∀ (a a_1 : Iota), Eq (Iff (prec a a_1 o o) (leq a a_1)) True % 10.05/10.37 Clause #654 (by clausification #[653]): ∀ (a a_1 : Iota), Or (Eq (prec a a_1 o o) True) (Eq (leq a a_1) False) % 10.05/10.37 Clause #660 (by superposition #[654, 134]): ∀ (a : Iota), Or (Eq (prec a a o o) True) (Eq False True) % 10.05/10.37 Clause #661 (by clausification #[660]): ∀ (a : Iota), Eq (prec a a o o) True % 10.05/10.37 Clause #662 (by superposition #[661, 140]): Eq True False % 10.05/10.37 Clause #665 (by clausification #[662]): False % 10.05/10.37 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------