%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO216+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n022.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 07:00:57 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GEO216+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % Command  : run_zenon %s %d
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 03:30:32 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.51  (* PROOF-FOUND *)
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  (* BEGIN-PROOF *)
% 0.20/0.51  % SZS output start Proof
% 0.20/0.51  Theorem con : (forall L : zenon_U, (~(~(unorthogonal_lines L L)))).
% 0.20/0.51  Proof.
% 0.20/0.51  apply NNPP. intro zenon_G.
% 0.20/0.51  apply (zenon_notallex_s (fun L : zenon_U => (~(~(unorthogonal_lines L L)))) zenon_G); [ zenon_intro zenon_H10; idtac ].
% 0.20/0.51  elim zenon_H10. zenon_intro zenon_TL_r. zenon_intro zenon_H12.
% 0.20/0.51  apply zenon_H12. zenon_intro zenon_H13.
% 0.20/0.51  generalize (coipo1 zenon_TL_r). zenon_intro zenon_H14.
% 0.20/0.51  generalize (zenon_H14 zenon_TL_r). zenon_intro zenon_H15.
% 0.20/0.51  apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.20/0.51  apply zenon_H17. zenon_intro zenon_H18.
% 0.20/0.51  generalize (apart3 zenon_TL_r). zenon_intro zenon_H19.
% 0.20/0.51  exact (zenon_H19 zenon_H18).
% 0.20/0.51  exact (zenon_H16 zenon_H13).
% 0.20/0.51  Qed.
% 0.20/0.51  % SZS output end Proof
% 0.20/0.51  (* END-PROOF *)
% 0.20/0.51  nodes searched: 89
% 0.20/0.51  max branch formulas: 98
% 0.20/0.51  proof nodes created: 12
% 0.20/0.51  formulas created: 811
% 0.20/0.51  
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