%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM610+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n013.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 0.48s 0.66s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM610+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n013.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 : Wed Jul  6 01:09:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.48/0.66  (* PROOF-FOUND *)
% 0.48/0.66  % SZS status Theorem
% 0.48/0.66  (* BEGIN-PROOF *)
% 0.48/0.66  % SZS output start Proof
% 0.48/0.66  Theorem m__ : ((forall W0 : zenon_U, ((aElementOf0 W0 (xP))->(aElementOf0 W0 (xO))))\/(aSubsetOf0 (xP) (xO))).
% 0.48/0.66  Proof.
% 0.48/0.66  apply NNPP. intro zenon_G.
% 0.48/0.66  apply (zenon_and_s _ _ m__5078). zenon_intro zenon_H6c. zenon_intro zenon_H6b.
% 0.48/0.66  apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 0.48/0.66  apply (zenon_and_s _ _ m__5164). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 0.48/0.66  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H72. zenon_intro zenon_H71.
% 0.48/0.66  apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H74. zenon_intro zenon_H73.
% 0.48/0.66  apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 0.48/0.66  apply (zenon_notallex_s (fun W0 : zenon_U => ((aElementOf0 W0 (xP))->(aElementOf0 W0 (xO)))) zenon_H76); [ zenon_intro zenon_H77; idtac ].
% 0.48/0.66  elim zenon_H77. zenon_intro zenon_TW0_eq. zenon_intro zenon_H79.
% 0.48/0.66  apply (zenon_notimply_s _ _ zenon_H79). zenon_intro zenon_H7b. zenon_intro zenon_H7a.
% 0.48/0.66  generalize (zenon_H6e zenon_TW0_eq). zenon_intro zenon_H7c.
% 0.48/0.66  apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ].
% 0.48/0.66  generalize (zenon_H74 zenon_TW0_eq). zenon_intro zenon_H7f.
% 0.48/0.66  apply (zenon_equiv_s _ _ zenon_H7f); [ zenon_intro zenon_H82; zenon_intro zenon_H81 | zenon_intro zenon_H7b; zenon_intro zenon_H80 ].
% 0.48/0.66  exact (zenon_H82 zenon_H7b).
% 0.48/0.66  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H84. zenon_intro zenon_H83.
% 0.48/0.66  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H86. zenon_intro zenon_H85.
% 0.48/0.66  exact (zenon_H7e zenon_H86).
% 0.48/0.66  exact (zenon_H7a zenon_H7d).
% 0.48/0.66  Qed.
% 0.48/0.66  % SZS output end Proof
% 0.48/0.66  (* END-PROOF *)
% 0.48/0.66  nodes searched: 2800
% 0.48/0.66  max branch formulas: 2000
% 0.48/0.66  proof nodes created: 52
% 0.48/0.66  formulas created: 35968
% 0.48/0.66  
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