%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO241+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n015.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 07:01:14 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
% 0.03/0.12  % Problem  : GEO241+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n015.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 : Sat Jun 18 03:40:13 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 A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((incident_point_and_line A L)/\((distinct_points A B)/\(left_convergent_lines L (line_connecting A B))))->(left_apart_point B L))))).
% 0.20/0.50  Proof.
% 0.20/0.50  apply NNPP. intro zenon_G.
% 0.20/0.50  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((incident_point_and_line A L)/\((distinct_points A B)/\(left_convergent_lines L (line_connecting A B))))->(left_apart_point B L))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.20/0.50  elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.20/0.50  apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((incident_point_and_line zenon_TA_bm L)/\((distinct_points zenon_TA_bm B)/\(left_convergent_lines L (line_connecting zenon_TA_bm B))))->(left_apart_point B L)))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.20/0.50  elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a.
% 0.20/0.50  apply (zenon_notallex_s (fun L : zenon_U => (((incident_point_and_line zenon_TA_bm L)/\((distinct_points zenon_TA_bm zenon_TB_bp)/\(left_convergent_lines L (line_connecting zenon_TA_bm zenon_TB_bp))))->(left_apart_point zenon_TB_bp L))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.20/0.50  elim zenon_H2b. zenon_intro zenon_TL_bs. zenon_intro zenon_H2d.
% 0.20/0.50  apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.20/0.50  apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.20/0.50  apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 0.20/0.50  generalize (ax11_basics zenon_TL_bs). zenon_intro zenon_H34.
% 0.20/0.50  generalize (zenon_H34 (line_connecting zenon_TA_bm zenon_TB_bp)). zenon_intro zenon_H35.
% 0.20/0.50  apply (zenon_notor_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.20/0.50  exact (zenon_H37 zenon_H32).
% 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: 225
% 0.20/0.50  max branch formulas: 249
% 0.20/0.50  proof nodes created: 12
% 0.20/0.50  formulas created: 2043
% 0.20/0.50  
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