%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL793_5 : TPTP v9.3.1. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 : Mon Sep 7 11:36:39 AM UTC 2026 % Result : Theorem 17.58s 17.86s % Output : Proof 17.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : LCL793_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.08 % Command : duper %s % 0.16/0.43 % Computer : n016.cluster.edu % 0.16/0.43 % Model : x86_64 x86_64 % 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.43 % Memory : 8046.5625MB % 0.16/0.43 % OS : Linux 6.8.0-71-generic % 0.16/0.43 % CPULimit : 300 % 0.16/0.43 % WCLimit : 300 % 0.16/0.44 % DateTime : Sat Sep 5 05:33:14 UTC 2026 % 0.16/0.44 % CPUTime : % 17.58/17.86 SZS status Theorem for theBenchmark.p % 17.58/17.86 SZS output start Proof for theBenchmark.p % 17.58/17.86 Clause #2 (by assumption #[]): Eq (it u) True % 17.58/17.86 Clause #4 (by assumption #[]): Eq (∀ (I : nat) (T : dB), it T → it (lift T I)) True % 17.58/17.86 Clause #6 (by assumption #[]): Eq (∀ (I : nat) (T : dB), it T → it (app T (var I))) True % 17.58/17.86 Clause #110 (by assumption #[]): Eq (Not (it (app (lift u (zero_zero nat)) (var (zero_zero nat))))) True % 17.58/17.86 Clause #117 (by clausification #[4]): ∀ (a : nat), Eq (∀ (T : dB), it T → it (lift T a)) True % 17.58/17.86 Clause #118 (by clausification #[117]): ∀ (a : dB) (a_1 : nat), Eq (it a → it (lift a a_1)) True % 17.58/17.86 Clause #119 (by clausification #[118]): ∀ (a : dB) (a_1 : nat), Or (Eq (it a) False) (Eq (it (lift a a_1)) True) % 17.58/17.86 Clause #122 (by superposition #[119, 2]): ∀ (a : nat), Or (Eq (it (lift u a)) True) (Eq False True) % 17.58/17.86 Clause #125 (by clausification #[122]): ∀ (a : nat), Eq (it (lift u a)) True % 17.58/17.86 Clause #127 (by clausification #[6]): ∀ (a : nat), Eq (∀ (T : dB), it T → it (app T (var a))) True % 17.58/17.86 Clause #128 (by clausification #[127]): ∀ (a : dB) (a_1 : nat), Eq (it a → it (app a (var a_1))) True % 17.58/17.87 Clause #129 (by clausification #[128]): ∀ (a : dB) (a_1 : nat), Or (Eq (it a) False) (Eq (it (app a (var a_1))) True) % 17.58/17.87 Clause #134 (by superposition #[129, 125]): ∀ (a a_1 : nat), Or (Eq (it (app (lift u a) (var a_1))) True) (Eq False True) % 17.58/17.87 Clause #374 (by clausification #[134]): ∀ (a a_1 : nat), Eq (it (app (lift u a) (var a_1))) True % 17.58/17.87 Clause #1780 (by clausification #[110]): Eq (it (app (lift u (zero_zero nat)) (var (zero_zero nat)))) False % 17.58/17.87 Clause #1781 (by superposition #[1780, 374]): Eq False True % 17.58/17.87 Clause #1785 (by clausification #[1781]): False % 17.58/17.87 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------