%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Tue Jul 19 06:33:03 EDT 2022

% Result   : Theorem 0.14s 0.43s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.10  % Command  : run_zenon %s %d
% 0.09/0.30  % Computer : n005.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 600
% 0.09/0.30  % DateTime : Sun Jul 10 04:01:07 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 0.14/0.43  (* PROOF-FOUND *)
% 0.14/0.43  % SZS status Theorem
% 0.14/0.43  (* BEGIN-PROOF *)
% 0.14/0.43  % SZS output start Proof
% 0.14/0.43  Theorem pel41 : (~(exists Z : zenon_U, (forall X : zenon_U, (element X Z)))).
% 0.14/0.43  Proof.
% 0.14/0.43  assert (zenon_L1_ : forall (zenon_TZ_f : zenon_U) (zenon_TY_g : zenon_U), (~((element zenon_TY_g zenon_TZ_f)/\(~(element zenon_TY_g zenon_TY_g)))) -> (~(element zenon_TY_g zenon_TY_g)) -> (forall X : zenon_U, (element X zenon_TZ_f)) -> False).
% 0.14/0.43  do 2 intro. intros zenon_H2 zenon_H3 zenon_H4.
% 0.14/0.43  apply (zenon_notand_s _ _ zenon_H2); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ].
% 0.14/0.43  generalize (zenon_H4 zenon_TY_g). zenon_intro zenon_H9.
% 0.14/0.43  exact (zenon_H8 zenon_H9).
% 0.14/0.43  exact (zenon_H7 zenon_H3).
% 0.14/0.43  (* end of lemma zenon_L1_ *)
% 0.14/0.43  assert (zenon_L2_ : forall (zenon_TZ_f : zenon_U) (zenon_TY_g : zenon_U), ((element zenon_TY_g zenon_TZ_f)/\(~(element zenon_TY_g zenon_TY_g))) -> (element zenon_TY_g zenon_TY_g) -> False).
% 0.14/0.43  do 2 intro. intros zenon_Ha zenon_Hb.
% 0.14/0.43  apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_H9. zenon_intro zenon_H3.
% 0.14/0.43  exact (zenon_H3 zenon_Hb).
% 0.14/0.43  (* end of lemma zenon_L2_ *)
% 0.14/0.43  apply NNPP. intro zenon_G.
% 0.14/0.43  apply zenon_G. zenon_intro zenon_Hc.
% 0.14/0.43  elim zenon_Hc. zenon_intro zenon_TZ_f. zenon_intro zenon_H4.
% 0.14/0.43  generalize (pel41_1 zenon_TZ_f). zenon_intro zenon_Hd.
% 0.14/0.43  elim zenon_Hd. zenon_intro zenon_TY_g. zenon_intro zenon_He.
% 0.14/0.43  generalize (zenon_He zenon_TY_g). zenon_intro zenon_Hf.
% 0.14/0.43  apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_H3; zenon_intro zenon_H2 | zenon_intro zenon_Hb; zenon_intro zenon_Ha ].
% 0.14/0.43  apply (zenon_L1_ zenon_TZ_f zenon_TY_g); trivial.
% 0.14/0.43  apply (zenon_L2_ zenon_TZ_f zenon_TY_g); trivial.
% 0.14/0.43  Qed.
% 0.14/0.43  % SZS output end Proof
% 0.14/0.43  (* END-PROOF *)
% 0.14/0.43  nodes searched: 251
% 0.14/0.43  max branch formulas: 105
% 0.14/0.43  proof nodes created: 47
% 0.14/0.43  formulas created: 596
% 0.14/0.43  
%------------------------------------------------------------------------------