%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM552+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n005.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 15:56:46 EDT 2022

% Result   : Theorem 0.46s 0.66s
% Output   : Proof 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUM552+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n005.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 : Tue Jul  5 11:14:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.46/0.66  (* PROOF-FOUND *)
% 0.46/0.66  % SZS status Theorem
% 0.46/0.66  (* BEGIN-PROOF *)
% 0.46/0.66  % SZS output start Proof
% 0.46/0.66  Theorem m__ : ((aElementOf0 (xx) (xQ))->(aElementOf0 (xx) (xT))).
% 0.46/0.66  Proof.
% 0.46/0.66  assert (zenon_L1_ : ((aSet0 (xQ))/\((forall W1 : zenon_U, ((aElementOf0 W1 (xQ))->(aElementOf0 W1 (xT))))/\((aSubsetOf0 (xQ) (xT))/\((sbrdtbr0 (xQ)) = (xk))))) -> (~((aElementOf0 (xx) (xQ))->(aElementOf0 (xx) (xT)))) -> False).
% 0.46/0.66  do 0 intro. intros zenon_H44 zenon_G.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H46. zenon_intro zenon_H45.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H48. zenon_intro zenon_H47.
% 0.46/0.66  generalize (zenon_H48 (xx)). zenon_intro zenon_H49.
% 0.46/0.66  exact (zenon_G zenon_H49).
% 0.46/0.66  (* end of lemma zenon_L1_ *)
% 0.46/0.66  apply NNPP. intro zenon_G.
% 0.46/0.66  apply (zenon_and_s _ _ m__2227). zenon_intro zenon_H4b. zenon_intro zenon_H4a.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52.
% 0.46/0.66  apply (zenon_and_s _ _ m__2270). zenon_intro zenon_H46. zenon_intro zenon_H54.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 0.46/0.66  generalize (zenon_H51 (xQ)). zenon_intro zenon_H5b.
% 0.46/0.66  apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H5d. zenon_intro zenon_H5c.
% 0.46/0.66  apply (zenon_imply_s _ _ zenon_H5d); [ zenon_intro zenon_H5e | zenon_intro zenon_H44 ].
% 0.46/0.66  generalize (zenon_H53 (xQ)). zenon_intro zenon_H5f.
% 0.46/0.66  apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ].
% 0.46/0.66  exact (zenon_H61 zenon_H59).
% 0.46/0.66  exact (zenon_H5e zenon_H60).
% 0.46/0.66  apply (zenon_L1_); trivial.
% 0.46/0.66  Qed.
% 0.46/0.66  % SZS output end Proof
% 0.46/0.66  (* END-PROOF *)
% 0.46/0.66  nodes searched: 4832
% 0.46/0.66  max branch formulas: 1182
% 0.46/0.66  proof nodes created: 94
% 0.46/0.66  formulas created: 26964
% 0.46/0.66  
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