%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO232+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n008.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 : Sat Jul 16 07:01:09 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO232+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 17 22:31:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.50  (* PROOF-FOUND *)
% 0.20/0.50  % SZS status Theorem
% 0.20/0.50  (* BEGIN-PROOF *)
% 0.20/0.50  % SZS output start Proof
% 0.20/0.50  Theorem con : (forall L : zenon_U, (unequally_directed_opposite_lines L L)).
% 0.20/0.50  Proof.
% 0.20/0.50  apply NNPP. intro zenon_G.
% 0.20/0.50  apply (zenon_notallex_s (fun L : zenon_U => (unequally_directed_opposite_lines L L)) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.20/0.50  elim zenon_H25. zenon_intro zenon_TL_bm. zenon_intro zenon_H27.
% 0.20/0.50  generalize (a1_defns zenon_TL_bm). zenon_intro zenon_H28.
% 0.20/0.50  generalize (zenon_H28 zenon_TL_bm). zenon_intro zenon_H29.
% 0.20/0.50  apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H27; zenon_intro zenon_H2c | zenon_intro zenon_H2b; zenon_intro zenon_H2a ].
% 0.20/0.50  generalize (ax8_basics zenon_TL_bm). zenon_intro zenon_H2d.
% 0.20/0.50  generalize (zenon_H2d zenon_TL_bm). zenon_intro zenon_H2e.
% 0.20/0.50  apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H2f | zenon_intro zenon_H2a ].
% 0.20/0.50  generalize (ax6_basics zenon_TL_bm). zenon_intro zenon_H30.
% 0.20/0.50  generalize (zenon_H30 zenon_TL_bm). zenon_intro zenon_H31.
% 0.20/0.50  generalize (zenon_H31 (reverse_line zenon_TL_bm)). zenon_intro zenon_H32.
% 0.20/0.50  apply (zenon_imply_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 0.20/0.50  exact (zenon_H34 zenon_H2f).
% 0.20/0.50  apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H2a | zenon_intro zenon_H2a ].
% 0.20/0.50  exact (zenon_H2c zenon_H2a).
% 0.20/0.50  exact (zenon_H2c zenon_H2a).
% 0.20/0.50  exact (zenon_H2c zenon_H2a).
% 0.20/0.50  exact (zenon_H27 zenon_H2b).
% 0.20/0.50  Qed.
% 0.20/0.50  % SZS output end Proof
% 0.20/0.50  (* END-PROOF *)
% 0.20/0.50  nodes searched: 334
% 0.20/0.50  max branch formulas: 293
% 0.20/0.50  proof nodes created: 30
% 0.20/0.50  formulas created: 2365
% 0.20/0.50  
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