%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO235+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 07:01:10 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO235+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13  % 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 07:34:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.51  (* PROOF-FOUND *)
% 0.19/0.51  % SZS status Theorem
% 0.19/0.51  (* BEGIN-PROOF *)
% 0.19/0.51  % SZS output start Proof
% 0.19/0.51  Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((left_apart_point A L)/\(left_apart_point B (reverse_line L)))->(distinct_points A B))))).
% 0.19/0.51  Proof.
% 0.19/0.51  apply NNPP. intro zenon_G.
% 0.19/0.51  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((left_apart_point A L)/\(left_apart_point B (reverse_line L)))->(distinct_points A B))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.19/0.51  elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22.
% 0.19/0.51  apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((left_apart_point zenon_TA_bh L)/\(left_apart_point B (reverse_line L)))->(distinct_points zenon_TA_bh B)))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.19/0.51  elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25.
% 0.19/0.51  apply (zenon_notallex_s (fun L : zenon_U => (((left_apart_point zenon_TA_bh L)/\(left_apart_point zenon_TB_bk (reverse_line L)))->(distinct_points zenon_TA_bh zenon_TB_bk))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.19/0.51  elim zenon_H26. zenon_intro zenon_TL_bn. zenon_intro zenon_H28.
% 0.19/0.51  apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.19/0.51  apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.19/0.51  generalize (oag10 zenon_TB_bk). zenon_intro zenon_H2d.
% 0.19/0.51  generalize (zenon_H2d zenon_TL_bn). zenon_intro zenon_H2e.
% 0.19/0.51  apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.19/0.51  exact (zenon_H2f zenon_H2b).
% 0.19/0.51  Qed.
% 0.19/0.51  % SZS output end Proof
% 0.19/0.51  (* END-PROOF *)
% 0.19/0.51  nodes searched: 296
% 0.19/0.51  max branch formulas: 282
% 0.19/0.51  proof nodes created: 21
% 0.19/0.51  formulas created: 2425
% 0.19/0.51  
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