%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n024.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 : Tue Jul 19 06:35:48 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 02:15:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.51  (* PROOF-FOUND *)
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  (* BEGIN-PROOF *)
% 0.20/0.51  % SZS output start Proof
% 0.20/0.51  Theorem thI47 : (forall A : zenon_U, (member (empty_set) (power_set A))).
% 0.20/0.51  Proof.
% 0.20/0.51  apply NNPP. intro zenon_G.
% 0.20/0.51  apply (zenon_notallex_s (fun A : zenon_U => (member (empty_set) (power_set A))) zenon_G); [ zenon_intro zenon_Hc; idtac ].
% 0.20/0.51  elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He.
% 0.20/0.51  generalize (power_set (empty_set)). zenon_intro zenon_Hf.
% 0.20/0.51  generalize (zenon_Hf zenon_TA_n). zenon_intro zenon_H10.
% 0.20/0.51  apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_He; zenon_intro zenon_H13 | zenon_intro zenon_H12; zenon_intro zenon_H11 ].
% 0.20/0.51  generalize (subset (empty_set)). zenon_intro zenon_H14.
% 0.20/0.51  generalize (zenon_H14 zenon_TA_n). zenon_intro zenon_H15.
% 0.20/0.51  apply (zenon_equiv_s _ _ zenon_H15); [ zenon_intro zenon_H13; zenon_intro zenon_H17 | zenon_intro zenon_H11; zenon_intro zenon_H16 ].
% 0.20/0.51  apply (zenon_notallex_s (fun X : zenon_U => ((member X (empty_set))->(member X zenon_TA_n))) zenon_H17); [ zenon_intro zenon_H18; idtac ].
% 0.20/0.51  elim zenon_H18. zenon_intro zenon_TX_z. zenon_intro zenon_H1a.
% 0.20/0.51  apply (zenon_notimply_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.20/0.51  generalize (empty_set zenon_TX_z). zenon_intro zenon_H1d.
% 0.20/0.51  exact (zenon_H1d zenon_H1c).
% 0.20/0.51  exact (zenon_H13 zenon_H11).
% 0.20/0.51  exact (zenon_He zenon_H12).
% 0.20/0.51  Qed.
% 0.20/0.51  % SZS output end Proof
% 0.20/0.51  (* END-PROOF *)
% 0.20/0.51  nodes searched: 339
% 0.20/0.51  max branch formulas: 294
% 0.20/0.51  proof nodes created: 30
% 0.20/0.51  formulas created: 2597
% 0.20/0.51  
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