%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM609+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n008.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 : Mon Jul 18 15:57:19 EDT 2022

% Result   : Theorem 0.41s 0.59s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM609+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n008.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 : Thu Jul  7 23:15:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/0.59  (* PROOF-FOUND *)
% 0.41/0.59  % SZS status Theorem
% 0.41/0.59  (* BEGIN-PROOF *)
% 0.41/0.59  % SZS output start Proof
% 0.41/0.59  Theorem m__ : ((forall W0 : zenon_U, ((aElementOf0 W0 (xP))->(aElementOf0 W0 (xQ))))\/(aSubsetOf0 (xP) (xQ))).
% 0.41/0.59  Proof.
% 0.41/0.59  apply NNPP. intro zenon_G.
% 0.41/0.59  apply (zenon_and_s _ _ m__5164). zenon_intro zenon_H6b. zenon_intro zenon_H6a.
% 0.41/0.59  apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c.
% 0.41/0.59  apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e.
% 0.41/0.59  apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H71. zenon_intro zenon_H70.
% 0.41/0.59  apply (zenon_notallex_s (fun W0 : zenon_U => ((aElementOf0 W0 (xP))->(aElementOf0 W0 (xQ)))) zenon_H71); [ zenon_intro zenon_H72; idtac ].
% 0.41/0.59  elim zenon_H72. zenon_intro zenon_TW0_el. zenon_intro zenon_H74.
% 0.41/0.59  apply (zenon_notimply_s _ _ zenon_H74). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 0.41/0.59  generalize (zenon_H6f zenon_TW0_el). zenon_intro zenon_H77.
% 0.41/0.59  apply (zenon_equiv_s _ _ zenon_H77); [ zenon_intro zenon_H7a; zenon_intro zenon_H79 | zenon_intro zenon_H76; zenon_intro zenon_H78 ].
% 0.41/0.59  exact (zenon_H7a zenon_H76).
% 0.41/0.59  apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 0.41/0.59  apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 0.41/0.59  exact (zenon_H75 zenon_H7e).
% 0.41/0.59  Qed.
% 0.41/0.59  % SZS output end Proof
% 0.41/0.59  (* END-PROOF *)
% 0.41/0.59  nodes searched: 1713
% 0.41/0.59  max branch formulas: 1576
% 0.41/0.59  proof nodes created: 28
% 0.41/0.59  formulas created: 25341
% 0.41/0.59  
%------------------------------------------------------------------------------