%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO250+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n006.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 0.22s 0.54s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO250+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.08/0.14  % Command  : run_zenon %s %d
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Sat Jun 18 01:15:25 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.22/0.54  (* PROOF-FOUND *)
% 0.22/0.54  % SZS status Theorem
% 0.22/0.54  (* BEGIN-PROOF *)
% 0.22/0.54  % SZS output start Proof
% 0.22/0.54  Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, ((left_apart_point B (parallel_through_point L A))->(left_apart_point A (reverse_line (parallel_through_point L B))))))).
% 0.22/0.54  Proof.
% 0.22/0.54  apply NNPP. intro zenon_G.
% 0.22/0.54  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, ((left_apart_point B (parallel_through_point L A))->(left_apart_point A (reverse_line (parallel_through_point L B))))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.22/0.54  elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22.
% 0.22/0.54  apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, ((left_apart_point B (parallel_through_point L zenon_TA_bh))->(left_apart_point zenon_TA_bh (reverse_line (parallel_through_point L B)))))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.22/0.54  elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25.
% 0.22/0.54  apply (zenon_notallex_s (fun L : zenon_U => ((left_apart_point zenon_TB_bk (parallel_through_point L zenon_TA_bh))->(left_apart_point zenon_TA_bh (reverse_line (parallel_through_point L zenon_TB_bk))))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.22/0.54  elim zenon_H26. zenon_intro zenon_TL_bn. zenon_intro zenon_H28.
% 0.22/0.54  apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.22/0.54  generalize (oag10 zenon_TB_bk). zenon_intro zenon_H2b.
% 0.22/0.54  generalize (zenon_H2b (parallel_through_point zenon_TL_bn zenon_TA_bh)). zenon_intro zenon_H2c.
% 0.22/0.54  apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.22/0.54  exact (zenon_H2e zenon_H2a).
% 0.22/0.54  Qed.
% 0.22/0.54  % SZS output end Proof
% 0.22/0.54  (* END-PROOF *)
% 0.22/0.54  nodes searched: 702
% 0.22/0.54  max branch formulas: 557
% 0.22/0.54  proof nodes created: 36
% 0.22/0.54  formulas created: 5279
% 0.22/0.54  
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