%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ITP019+2 : TPTP v8.1.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 0.19s 0.54s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ITP019+2 : TPTP v8.1.0. Bugfixed v7.5.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Fri Jun 3 11:14:32 EDT 2022 % 0.13/0.35 % CPUTime : % 0.19/0.54 (* PROOF-FOUND *) % 0.19/0.54 % SZS status Theorem % 0.19/0.54 (* BEGIN-PROOF *) % 0.19/0.54 % SZS output start Proof % 0.19/0.54 Theorem conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ : (forall V0z : zenon_U, ((mem V0z (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal)))->((~(V0z = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))))->(~((ap (c_2Ecomplex_2Ecomplex__inv) V0z) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))))))). % 0.19/0.54 Proof. % 0.19/0.54 apply NNPP. intro zenon_G. % 0.19/0.54 apply (zenon_notallex_s (fun V0z : zenon_U => ((mem V0z (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal)))->((~(V0z = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))))->(~((ap (c_2Ecomplex_2Ecomplex__inv) V0z) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))))))) zenon_G); [ zenon_intro zenon_H21; idtac ]. % 0.19/0.54 elim zenon_H21. zenon_intro zenon_TV0z_bi. zenon_intro zenon_H23. % 0.19/0.54 apply (zenon_notimply_s _ _ zenon_H23). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.19/0.54 apply (zenon_notimply_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.19/0.54 apply zenon_H26. zenon_intro zenon_H28. % 0.19/0.54 generalize (conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0 zenon_TV0z_bi). zenon_intro zenon_H29. % 0.19/0.54 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 0.19/0.54 exact (zenon_H2b zenon_H25). % 0.19/0.54 apply (zenon_equiv_s _ _ zenon_H2a); [ zenon_intro zenon_H2d; zenon_intro zenon_H27 | zenon_intro zenon_H28; zenon_intro zenon_H2c ]. % 0.19/0.54 exact (zenon_H2d zenon_H28). % 0.19/0.54 exact (zenon_H27 zenon_H2c). % 0.19/0.54 Qed. % 0.19/0.54 % SZS output end Proof % 0.19/0.54 (* END-PROOF *) % 0.19/0.54 nodes searched: 536 % 0.19/0.54 max branch formulas: 417 % 0.19/0.54 proof nodes created: 36 % 0.19/0.54 formulas created: 4151 % 0.19/0.54 %------------------------------------------------------------------------------