%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET046+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n017.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 06:33:05 EDT 2022

% Result   : Theorem 0.16s 0.45s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET046+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12  % Command  : run_zenon %s %d
% 0.11/0.31  % Computer : n017.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sat Jul  9 17:47:17 EDT 2022
% 0.16/0.31  % CPUTime  : 
% 0.16/0.45  (* PROOF-FOUND *)
% 0.16/0.45  % SZS status Theorem
% 0.16/0.45  (* BEGIN-PROOF *)
% 0.16/0.45  % SZS output start Proof
% 0.16/0.45  Theorem pel42 : (~(exists Y : zenon_U, (forall X : zenon_U, ((element X Y)<->(~(exists Z : zenon_U, ((element X Z)/\(element Z X)))))))).
% 0.16/0.45  Proof.
% 0.16/0.45  apply NNPP. intro zenon_G.
% 0.16/0.45  apply zenon_G. zenon_intro zenon_H1.
% 0.16/0.45  elim zenon_H1. zenon_intro zenon_TY_c. zenon_intro zenon_H3.
% 0.16/0.45  generalize (zenon_H3 zenon_TY_c). zenon_intro zenon_H4.
% 0.16/0.45  apply (zenon_equiv_s _ _ zenon_H4); [ zenon_intro zenon_H8; zenon_intro zenon_H7 | zenon_intro zenon_H6; zenon_intro zenon_H5 ].
% 0.16/0.45  apply zenon_H7. zenon_intro zenon_H9.
% 0.16/0.45  elim zenon_H9. zenon_intro zenon_TZ_k. zenon_intro zenon_Hb.
% 0.16/0.45  apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.16/0.45  generalize (zenon_H3 zenon_TZ_k). zenon_intro zenon_He.
% 0.16/0.45  apply (zenon_equiv_s _ _ zenon_He); [ zenon_intro zenon_H11; zenon_intro zenon_H10 | zenon_intro zenon_Hc; zenon_intro zenon_Hf ].
% 0.16/0.45  exact (zenon_H11 zenon_Hc).
% 0.16/0.45  apply zenon_Hf. exists zenon_TY_c. apply NNPP. zenon_intro zenon_H12.
% 0.16/0.45  apply (zenon_notand_s _ _ zenon_H12); [ zenon_intro zenon_H11 | zenon_intro zenon_H13 ].
% 0.16/0.45  exact (zenon_H11 zenon_Hc).
% 0.16/0.45  exact (zenon_H13 zenon_Hd).
% 0.16/0.45  apply zenon_H5. exists zenon_TY_c. apply NNPP. zenon_intro zenon_H14.
% 0.16/0.45  apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H8 | zenon_intro zenon_H8 ].
% 0.16/0.45  exact (zenon_H8 zenon_H6).
% 0.16/0.45  exact (zenon_H8 zenon_H6).
% 0.16/0.45  Qed.
% 0.16/0.45  % SZS output end Proof
% 0.16/0.45  (* END-PROOF *)
% 0.16/0.45  nodes searched: 37
% 0.16/0.45  max branch formulas: 24
% 0.16/0.45  proof nodes created: 21
% 0.16/0.45  formulas created: 198
% 0.16/0.45  
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