%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO251+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n012.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 07:01:19 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO251+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 13:23:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.49  (* PROOF-FOUND *)
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  (* BEGIN-PROOF *)
% 0.19/0.49  % SZS output start Proof
% 0.19/0.49  Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, ((left_apart_point B (reverse_line (parallel_through_point L A)))->(left_apart_point A (parallel_through_point L B)))))).
% 0.19/0.49  Proof.
% 0.19/0.49  apply NNPP. intro zenon_G.
% 0.19/0.49  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, ((left_apart_point B (reverse_line (parallel_through_point L A)))->(left_apart_point A (parallel_through_point L B)))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.19/0.49  elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22.
% 0.19/0.49  apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, ((left_apart_point B (reverse_line (parallel_through_point L zenon_TA_bh)))->(left_apart_point zenon_TA_bh (parallel_through_point L B))))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.19/0.49  elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25.
% 0.19/0.49  apply (zenon_notallex_s (fun L : zenon_U => ((left_apart_point zenon_TB_bk (reverse_line (parallel_through_point L zenon_TA_bh)))->(left_apart_point zenon_TA_bh (parallel_through_point L zenon_TB_bk)))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.19/0.49  elim zenon_H26. zenon_intro zenon_TL_bn. zenon_intro zenon_H28.
% 0.19/0.49  apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.19/0.49  generalize (oag10 zenon_TB_bk). zenon_intro zenon_H2b.
% 0.19/0.49  generalize (zenon_H2b (parallel_through_point zenon_TL_bn zenon_TA_bh)). zenon_intro zenon_H2c.
% 0.19/0.49  apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.19/0.49  exact (zenon_H2d zenon_H2a).
% 0.19/0.49  Qed.
% 0.19/0.49  % SZS output end Proof
% 0.19/0.49  (* END-PROOF *)
% 0.19/0.49  nodes searched: 236
% 0.19/0.49  max branch formulas: 257
% 0.19/0.49  proof nodes created: 12
% 0.19/0.49  formulas created: 2268
% 0.19/0.49  
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