%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO246+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n014.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 07:01:17 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO246+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.12  % Command  : run_zenon %s %d
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat Jun 18 15:11:19 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.49  (* PROOF-FOUND *)
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  (* BEGIN-PROOF *)
% 0.18/0.49  % SZS output start Proof
% 0.18/0.49  Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, ((distinct_points A B)->((left_apart_point C (reverse_line (line_connecting A B)))->(left_apart_point B (line_connecting A C))))))).
% 0.18/0.49  Proof.
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, ((distinct_points A B)->((left_apart_point C (reverse_line (line_connecting A B)))->(left_apart_point B (line_connecting A C))))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.18/0.49  elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22.
% 0.18/0.49  apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((distinct_points zenon_TA_bh B)->((left_apart_point C (reverse_line (line_connecting zenon_TA_bh B)))->(left_apart_point B (line_connecting zenon_TA_bh C)))))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.18/0.49  elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25.
% 0.18/0.49  apply (zenon_notallex_s (fun C : zenon_U => ((distinct_points zenon_TA_bh zenon_TB_bk)->((left_apart_point C (reverse_line (line_connecting zenon_TA_bh zenon_TB_bk)))->(left_apart_point zenon_TB_bk (line_connecting zenon_TA_bh C))))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.18/0.49  elim zenon_H26. zenon_intro zenon_TC_bn. zenon_intro zenon_H28.
% 0.18/0.49  apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.18/0.49  apply (zenon_notimply_s _ _ zenon_H29). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.18/0.49  generalize (oag10 zenon_TC_bn). zenon_intro zenon_H2d.
% 0.18/0.49  generalize (zenon_H2d (line_connecting zenon_TA_bh zenon_TB_bk)). zenon_intro zenon_H2e.
% 0.18/0.49  apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.18/0.49  exact (zenon_H2f zenon_H2c).
% 0.18/0.49  Qed.
% 0.18/0.49  % SZS output end Proof
% 0.18/0.49  (* END-PROOF *)
% 0.18/0.49  nodes searched: 419
% 0.18/0.49  max branch formulas: 393
% 0.18/0.49  proof nodes created: 20
% 0.18/0.49  formulas created: 3469
% 0.18/0.49  
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