%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL748_5 : TPTP v9.3.1. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 11:36:33 AM UTC 2026 % Result : Theorem 8.65s 9.01s % Output : Proof 8.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL748_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.04 % Command : duper %s % 0.10/0.37 % Computer : n013.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 : Sat Sep 5 04:56:35 UTC 2026 % 0.10/0.38 % CPUTime : % 8.65/9.01 SZS status Theorem for theBenchmark.p % 8.65/9.01 SZS output start Proof for theBenchmark.p % 8.65/9.01 Clause #0 (by assumption #[]): Eq (∀ (R1 : dB), it R1 → it (abs R1)) True % 8.65/9.01 Clause #4 (by assumption #[]): Eq (∀ (K : nat) (S1 : dB), Eq (lift (abs S1) K) (abs (lift S1 (plus_plus nat K (one_one nat))))) True % 8.65/9.01 Clause #107 (by assumption #[]): Eq (∀ (I : nat), it (lift r I)) True % 8.65/9.01 Clause #108 (by assumption #[]): Eq (Not (it (lift (abs r) ia))) True % 8.65/9.01 Clause #109 (by clausification #[0]): ∀ (a : dB), Eq (it a → it (abs a)) True % 8.65/9.01 Clause #110 (by clausification #[109]): ∀ (a : dB), Or (Eq (it a) False) (Eq (it (abs a)) True) % 8.65/9.01 Clause #122 (by clausification #[107]): ∀ (a : nat), Eq (it (lift r a)) True % 8.65/9.01 Clause #123 (by superposition #[122, 110]): ∀ (a : nat), Or (Eq True False) (Eq (it (abs (lift r a))) True) % 8.65/9.01 Clause #130 (by clausification #[108]): Eq (it (lift (abs r) ia)) False % 8.65/9.01 Clause #160 (by clausification #[4]): ∀ (a : nat), Eq (∀ (S1 : dB), Eq (lift (abs S1) a) (abs (lift S1 (plus_plus nat a (one_one nat))))) True % 8.65/9.01 Clause #161 (by clausification #[160]): ∀ (a : dB) (a_1 : nat), Eq (Eq (lift (abs a) a_1) (abs (lift a (plus_plus nat a_1 (one_one nat))))) True % 8.65/9.01 Clause #162 (by clausification #[161]): ∀ (a : dB) (a_1 : nat), Eq (lift (abs a) a_1) (abs (lift a (plus_plus nat a_1 (one_one nat)))) % 8.65/9.01 Clause #167 (by clausification #[123]): ∀ (a : nat), Eq (it (abs (lift r a))) True % 8.65/9.01 Clause #169 (by superposition #[167, 162]): ∀ (a : nat), Eq (it (lift (abs r) a)) True % 8.65/9.01 Clause #173 (by superposition #[169, 130]): Eq True False % 8.65/9.01 Clause #175 (by clausification #[173]): False % 8.65/9.01 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------