TSTP Solution File: ITP019+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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