%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM708^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 07:57:09 PM UTC 2025 % Result : Theorem 3.32s 3.50s % Output : Proof 3.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM708^1 : TPTP v9.2.0. Released v3.7.0. % 0.14/0.14 % Command : duper %s % 0.14/0.35 % Computer : n023.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 07:32:38 EDT 2025 % 0.14/0.35 % CPUTime : % 3.32/3.50 SZS status Theorem for theBenchmark.p % 3.32/3.50 SZS output start Proof for theBenchmark.p % 3.32/3.50 Clause #0 (by assumption #[]): Eq (∀ (Xx : nat), Eq (ts n_1 Xx) Xx) True % 3.32/3.50 Clause #1 (by assumption #[]): Eq (Not (Eq x (ts n_1 x))) True % 3.32/3.50 Clause #2 (by clausification #[1]): Eq (Eq x (ts n_1 x)) False % 3.32/3.50 Clause #3 (by clausification #[2]): Ne x (ts n_1 x) % 3.32/3.50 Clause #4 (by clausification #[0]): ∀ (a : nat), Eq (Eq (ts n_1 a) a) True % 3.32/3.50 Clause #5 (by clausification #[4]): ∀ (a : nat), Eq (ts n_1 a) a % 3.32/3.50 Clause #7 (by backward contextual literal cutting #[5, 3]): False % 3.32/3.50 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------