%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n006.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 07:01:06 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n006.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 : Sat Jun 18 18:50:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.50  (* PROOF-FOUND *)
% 0.18/0.50  % SZS status Theorem
% 0.18/0.50  (* BEGIN-PROOF *)
% 0.18/0.50  % SZS output start Proof
% 0.18/0.50  Theorem con : (forall L : zenon_U, (forall M : zenon_U, (((line L)/\(line M))->(~((~(unequally_directed_lines L M))/\(~(unequally_directed_lines L (reverse_line M)))))))).
% 0.18/0.50  Proof.
% 0.18/0.50  apply NNPP. intro zenon_G.
% 0.18/0.50  apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((line L)/\(line M))->(~((~(unequally_directed_lines L M))/\(~(unequally_directed_lines L (reverse_line M)))))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.18/0.50  elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22.
% 0.18/0.50  apply (zenon_notallex_s (fun M : zenon_U => (((line zenon_TL_bh)/\(line M))->(~((~(unequally_directed_lines zenon_TL_bh M))/\(~(unequally_directed_lines zenon_TL_bh (reverse_line M))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.18/0.50  elim zenon_H23. zenon_intro zenon_TM_bk. zenon_intro zenon_H25.
% 0.18/0.50  apply (zenon_notimply_s _ _ zenon_H25). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 0.18/0.50  apply zenon_H26. zenon_intro zenon_H28.
% 0.18/0.50  apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.18/0.50  apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.18/0.50  generalize (oag8 zenon_TL_bh). zenon_intro zenon_H2d.
% 0.18/0.50  generalize (zenon_H2d zenon_TM_bk). zenon_intro zenon_H2e.
% 0.18/0.50  apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.18/0.50  apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.18/0.50  exact (zenon_H32 zenon_H2c).
% 0.18/0.50  exact (zenon_H31 zenon_H2b).
% 0.18/0.50  apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 0.18/0.50  exact (zenon_H2a zenon_H34).
% 0.18/0.50  exact (zenon_H29 zenon_H33).
% 0.18/0.50  Qed.
% 0.18/0.50  % SZS output end Proof
% 0.18/0.50  (* END-PROOF *)
% 0.18/0.50  nodes searched: 218
% 0.18/0.50  max branch formulas: 236
% 0.18/0.50  proof nodes created: 17
% 0.18/0.50  formulas created: 2040
% 0.18/0.50  
%------------------------------------------------------------------------------