%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ITP019+1 : TPTP v8.1.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 : 600s % DateTime : Sun Jul 17 01:27:24 EDT 2022 % Result : Theorem 41.39s 41.62s % Output : Proof 41.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ITP019+1 : TPTP v8.1.0. Bugfixed v7.5.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n019.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 2 18:52:55 EDT 2022 % 0.12/0.33 % CPUTime : % 41.39/41.62 Zenon warning: unused variable (A_27a : zenon_U) in thm_2Ebool_2EFORALL__SIMP % 41.39/41.62 Zenon warning: unused variable (V1x_2E0 : zenon_U) in thm_2Ebool_2EFORALL__SIMP % 41.39/41.62 (* PROOF-FOUND *) % 41.39/41.62 % SZS status Theorem % 41.39/41.62 (* BEGIN-PROOF *) % 41.39/41.62 % SZS output start Proof % 41.39/41.62 Theorem thm_2Ecomplex_2ECOMPLEX__INV__NZ : (forall V0z_2E0 : zenon_U, ((~((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))))->(~((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0)))))))). % 41.39/41.62 Proof. % 41.39/41.62 apply NNPP. intro zenon_G. % 41.39/41.62 apply (zenon_notallex_s (fun V0z_2E0 : zenon_U => ((~((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))))->(~((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0)))))))) zenon_G); [ zenon_intro zenon_H1c; idtac ]. % 41.39/41.62 elim zenon_H1c. zenon_intro zenon_TV0z_2E0_bd. zenon_intro zenon_H1e. % 41.39/41.62 apply (zenon_notimply_s _ _ zenon_H1e). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 41.39/41.62 apply zenon_H1f. zenon_intro zenon_H21. % 41.39/41.62 generalize (thm_2Ecomplex_2ECOMPLEX__INV__EQ__0 zenon_TV0z_2E0_bd). zenon_intro zenon_H22. % 41.39/41.62 apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H24; zenon_intro zenon_H20 | zenon_intro zenon_H21; zenon_intro zenon_H23 ]. % 41.39/41.62 exact (zenon_H24 zenon_H21). % 41.39/41.62 exact (zenon_H20 zenon_H23). % 41.39/41.62 Qed. % 41.39/41.62 % SZS output end Proof % 41.39/41.62 (* END-PROOF *) % 41.39/41.62 nodes searched: 118169 % 41.39/41.62 max branch formulas: 96634 % 41.39/41.62 proof nodes created: 657 % 41.39/41.62 formulas created: 720269 % 41.39/41.62 %------------------------------------------------------------------------------