%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM706^1 : TPTP v9.2.0. Released v3.7.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:57:08 PM UTC 2025 % Result : Theorem 4.58s 4.75s % Output : Proof 4.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.10 % Problem : NUM706^1 : TPTP v9.2.0. Released v3.7.0. % 0.05/0.11 % Command : duper %s % 0.11/0.32 % Computer : n027.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Oct 3 07:40:23 EDT 2025 % 0.11/0.32 % CPUTime : % 4.58/4.75 SZS status Theorem for theBenchmark.p % 4.58/4.75 SZS output start Proof for theBenchmark.p % 4.58/4.75 Clause #0 (by assumption #[]): Eq (∀ (Xx : nat), Eq (ts Xx n_1) Xx) True % 4.58/4.75 Clause #1 (by assumption #[]): Eq (Not (Eq x (ts x n_1))) True % 4.58/4.75 Clause #2 (by clausification #[1]): Eq (Eq x (ts x n_1)) False % 4.58/4.75 Clause #3 (by clausification #[2]): Ne x (ts x n_1) % 4.58/4.75 Clause #4 (by clausification #[0]): ∀ (a : nat), Eq (Eq (ts a n_1) a) True % 4.58/4.75 Clause #5 (by clausification #[4]): ∀ (a : nat), Eq (ts a n_1) a % 4.58/4.75 Clause #7 (by backward contextual literal cutting #[5, 3]): False % 4.58/4.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------