%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO265+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 07:01:26 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO265+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Fri Jun 17 22:37:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.48  (* PROOF-FOUND *)
% 0.18/0.48  % SZS status Theorem
% 0.18/0.48  (* BEGIN-PROOF *)
% 0.18/0.48  % SZS output start Proof
% 0.18/0.48  Theorem con : (forall L : zenon_U, (forall M : zenon_U, ((equally_directed_lines L (reverse_line M))->(equally_directed_opposite_lines L M)))).
% 0.18/0.48  Proof.
% 0.18/0.48  apply NNPP. intro zenon_G.
% 0.18/0.48  apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, ((equally_directed_lines L (reverse_line M))->(equally_directed_opposite_lines L M)))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.18/0.48  elim zenon_H25. zenon_intro zenon_TL_bm. zenon_intro zenon_H27.
% 0.18/0.48  apply (zenon_notallex_s (fun M : zenon_U => ((equally_directed_lines zenon_TL_bm (reverse_line M))->(equally_directed_opposite_lines zenon_TL_bm M))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.18/0.48  elim zenon_H28. zenon_intro zenon_TM_bp. zenon_intro zenon_H2a.
% 0.18/0.48  apply (zenon_notimply_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.18/0.48  generalize (a4_defns zenon_TL_bm). zenon_intro zenon_H2d.
% 0.18/0.48  generalize (zenon_H2d (reverse_line zenon_TM_bp)). zenon_intro zenon_H2e.
% 0.18/0.48  apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_H30 | zenon_intro zenon_H2c; zenon_intro zenon_H2f ].
% 0.18/0.48  exact (zenon_H31 zenon_H2c).
% 0.18/0.48  generalize (a5_defns zenon_TL_bm). zenon_intro zenon_H32.
% 0.18/0.48  generalize (zenon_H32 zenon_TM_bp). zenon_intro zenon_H33.
% 0.18/0.48  apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H2b; zenon_intro zenon_H36 | zenon_intro zenon_H35; zenon_intro zenon_H34 ].
% 0.18/0.48  apply zenon_H36. zenon_intro zenon_H37.
% 0.18/0.48  generalize (a1_defns zenon_TL_bm). zenon_intro zenon_H38.
% 0.18/0.48  generalize (zenon_H38 zenon_TM_bp). zenon_intro zenon_H39.
% 0.18/0.48  apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H34; zenon_intro zenon_H2f | zenon_intro zenon_H37; zenon_intro zenon_H3a ].
% 0.18/0.48  exact (zenon_H34 zenon_H37).
% 0.18/0.48  exact (zenon_H2f zenon_H3a).
% 0.18/0.48  exact (zenon_H2b zenon_H35).
% 0.18/0.48  Qed.
% 0.18/0.48  % SZS output end Proof
% 0.18/0.48  (* END-PROOF *)
% 0.18/0.48  nodes searched: 8
% 0.18/0.48  max branch formulas: 36
% 0.18/0.48  proof nodes created: 8
% 0.18/0.48  formulas created: 593
% 0.18/0.48  
%------------------------------------------------------------------------------