%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO239+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 07:01:13 EDT 2022

% Result   : Theorem 0.17s 0.49s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO239+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sat Jun 18 18:38:22 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.49  (* PROOF-FOUND *)
% 0.17/0.49  % SZS status Theorem
% 0.17/0.49  (* BEGIN-PROOF *)
% 0.17/0.49  % SZS output start Proof
% 0.17/0.49  Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((incident_point_and_line A L)/\(left_apart_point B L))->(left_convergent_lines L (line_connecting A B)))))).
% 0.17/0.49  Proof.
% 0.17/0.49  apply NNPP. intro zenon_G.
% 0.17/0.49  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((incident_point_and_line A L)/\(left_apart_point B L))->(left_convergent_lines L (line_connecting A B)))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.17/0.49  elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.17/0.49  apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((incident_point_and_line zenon_TA_bm L)/\(left_apart_point B L))->(left_convergent_lines L (line_connecting zenon_TA_bm B))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.17/0.49  elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a.
% 0.17/0.49  apply (zenon_notallex_s (fun L : zenon_U => (((incident_point_and_line zenon_TA_bm L)/\(left_apart_point zenon_TB_bp L))->(left_convergent_lines L (line_connecting zenon_TA_bm zenon_TB_bp)))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.17/0.49  elim zenon_H2b. zenon_intro zenon_TL_bs. zenon_intro zenon_H2d.
% 0.17/0.49  apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.17/0.49  apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.17/0.49  generalize (ax10_basics zenon_TB_bp). zenon_intro zenon_H32.
% 0.17/0.49  generalize (zenon_H32 zenon_TL_bs). zenon_intro zenon_H33.
% 0.17/0.49  apply (zenon_notor_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.17/0.49  exact (zenon_H35 zenon_H30).
% 0.17/0.49  Qed.
% 0.17/0.49  % SZS output end Proof
% 0.17/0.49  (* END-PROOF *)
% 0.17/0.49  nodes searched: 308
% 0.17/0.49  max branch formulas: 298
% 0.17/0.49  proof nodes created: 23
% 0.17/0.49  formulas created: 2468
% 0.17/0.49  
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