%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : GEO208+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n029.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 07:00:50 EDT 2022

% Result   : Theorem 0.22s 0.53s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO208+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15  % Command  : run_zenon %s %d
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 05:26:28 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.53  (* PROOF-FOUND *)
% 0.22/0.53  % SZS status Theorem
% 0.22/0.53  (* BEGIN-PROOF *)
% 0.22/0.53  % SZS output start Proof
% 0.22/0.53  Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((~(apart_point_and_line X Y))/\((~(apart_point_and_line X Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z)))))).
% 0.22/0.53  Proof.
% 0.22/0.53  apply NNPP. intro zenon_G.
% 0.22/0.53  apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((~(apart_point_and_line X Y))/\((~(apart_point_and_line X Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z)))))) zenon_G); [ zenon_intro zenon_H10; idtac ].
% 0.22/0.53  elim zenon_H10. zenon_intro zenon_TX_r. zenon_intro zenon_H12.
% 0.22/0.53  apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((~(apart_point_and_line zenon_TX_r Y))/\((~(apart_point_and_line zenon_TX_r Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z))))) zenon_H12); [ zenon_intro zenon_H13; idtac ].
% 0.22/0.53  elim zenon_H13. zenon_intro zenon_TY_u. zenon_intro zenon_H15.
% 0.22/0.53  apply (zenon_notallex_s (fun Z : zenon_U => (((~(apart_point_and_line zenon_TX_r zenon_TY_u))/\((~(apart_point_and_line zenon_TX_r Z))/\(~(convergent_lines zenon_TY_u Z))))->(~(distinct_lines zenon_TY_u Z)))) zenon_H15); [ zenon_intro zenon_H16; idtac ].
% 0.22/0.53  elim zenon_H16. zenon_intro zenon_TZ_x. zenon_intro zenon_H18.
% 0.22/0.53  apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.22/0.53  apply zenon_H19. zenon_intro zenon_H1b.
% 0.22/0.53  apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.22/0.53  apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.22/0.53  generalize (cup1 zenon_TX_r). zenon_intro zenon_H20.
% 0.22/0.53  generalize (zenon_H20 zenon_TY_u). zenon_intro zenon_H21.
% 0.22/0.53  generalize (zenon_H21 zenon_TZ_x). zenon_intro zenon_H22.
% 0.22/0.53  apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.22/0.53  exact (zenon_H24 zenon_H1b).
% 0.22/0.53  apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 0.22/0.53  exact (zenon_H1d zenon_H26).
% 0.22/0.53  apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.22/0.53  exact (zenon_H1f zenon_H28).
% 0.22/0.53  exact (zenon_H1e zenon_H27).
% 0.22/0.53  Qed.
% 0.22/0.53  % SZS output end Proof
% 0.22/0.53  (* END-PROOF *)
% 0.22/0.53  nodes searched: 291
% 0.22/0.53  max branch formulas: 223
% 0.22/0.53  proof nodes created: 45
% 0.22/0.53  formulas created: 1778
% 0.22/0.53  
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