%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO243+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n023.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 07:01:15 EDT 2022

% Result   : Theorem 0.37s 0.56s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO243+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n023.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 : Sat Jun 18 17:59:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.37/0.56  (* PROOF-FOUND *)
% 0.37/0.56  % SZS status Theorem
% 0.37/0.56  (* BEGIN-PROOF *)
% 0.37/0.56  % SZS output start Proof
% 0.37/0.56  Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, ((distinct_points A B)->((left_apart_point C (line_connecting A B))->(right_apart_point C (line_connecting B A))))))).
% 0.37/0.56  Proof.
% 0.37/0.56  apply NNPP. intro zenon_G.
% 0.37/0.56  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, ((distinct_points A B)->((left_apart_point C (line_connecting A B))->(right_apart_point C (line_connecting B A))))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.37/0.56  elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.37/0.56  apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((distinct_points zenon_TA_bm B)->((left_apart_point C (line_connecting zenon_TA_bm B))->(right_apart_point C (line_connecting B zenon_TA_bm)))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.37/0.56  elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a.
% 0.37/0.56  apply (zenon_notallex_s (fun C : zenon_U => ((distinct_points zenon_TA_bm zenon_TB_bp)->((left_apart_point C (line_connecting zenon_TA_bm zenon_TB_bp))->(right_apart_point C (line_connecting zenon_TB_bp zenon_TA_bm))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.37/0.56  elim zenon_H2b. zenon_intro zenon_TC_bs. zenon_intro zenon_H2d.
% 0.37/0.56  apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.37/0.56  apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.37/0.56  generalize (ax10_basics zenon_TC_bs). zenon_intro zenon_H32.
% 0.37/0.56  generalize (zenon_H32 (line_connecting zenon_TA_bm zenon_TB_bp)). zenon_intro zenon_H33.
% 0.37/0.56  apply (zenon_notor_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.37/0.56  exact (zenon_H35 zenon_H31).
% 0.37/0.56  Qed.
% 0.37/0.56  % SZS output end Proof
% 0.37/0.56  (* END-PROOF *)
% 0.37/0.56  nodes searched: 1931
% 0.37/0.56  max branch formulas: 1266
% 0.37/0.56  proof nodes created: 71
% 0.37/0.56  formulas created: 12925
% 0.37/0.56  
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