%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n007.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 06:39:18 EDT 2022

% Result   : Theorem 0.88s 1.06s
% Output   : Proof 0.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 02:06:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.88/1.06  (* PROOF-FOUND *)
% 0.88/1.06  % SZS status Theorem
% 0.88/1.06  (* BEGIN-PROOF *)
% 0.88/1.06  % SZS output start Proof
% 0.88/1.06  Theorem t2_zfmisc_1 : ((union (empty_set)) = (empty_set)).
% 0.88/1.06  Proof.
% 0.88/1.06  assert (zenon_L1_ : (~((empty_set) = (empty_set))) -> False).
% 0.88/1.06  do 0 intro. intros zenon_H7.
% 0.88/1.06  apply zenon_H7. apply refl_equal.
% 0.88/1.06  (* end of lemma zenon_L1_ *)
% 0.88/1.06  apply NNPP. intro zenon_G.
% 0.88/1.06  generalize (d4_tarski (empty_set)). zenon_intro zenon_H8.
% 0.88/1.06  generalize (zenon_H8 (empty_set)). zenon_intro zenon_H9.
% 0.88/1.06  apply (zenon_equiv_s _ _ zenon_H9); [ zenon_intro zenon_Hd; zenon_intro zenon_Hc | zenon_intro zenon_Hb; zenon_intro zenon_Ha ].
% 0.88/1.06  apply (zenon_notallex_s (fun C : zenon_U => ((in C (empty_set))<->(exists D : zenon_U, ((in C D)/\(in D (empty_set)))))) zenon_Hc); [ zenon_intro zenon_He; idtac ].
% 0.88/1.06  elim zenon_He. zenon_intro zenon_TC_p. zenon_intro zenon_H10.
% 0.88/1.06  apply (zenon_notequiv_s _ _ zenon_H10); [ zenon_intro zenon_H14; zenon_intro zenon_H13 | zenon_intro zenon_H12; zenon_intro zenon_H11 ].
% 0.88/1.06  elim zenon_H13. zenon_intro zenon_TD_v. zenon_intro zenon_H16.
% 0.88/1.06  apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.88/1.06  generalize (d1_xboole_0 (empty_set)). zenon_intro zenon_H19.
% 0.88/1.06  apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H7; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H1a ].
% 0.88/1.06  apply zenon_H7. apply refl_equal.
% 0.88/1.06  generalize (zenon_H1a zenon_TD_v). zenon_intro zenon_H1d.
% 0.88/1.06  exact (zenon_H1d zenon_H17).
% 0.88/1.06  generalize (d1_xboole_0 (empty_set)). zenon_intro zenon_H19.
% 0.88/1.06  apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H7; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H1a ].
% 0.88/1.06  apply zenon_H7. apply refl_equal.
% 0.88/1.06  generalize (zenon_H1a zenon_TC_p). zenon_intro zenon_H14.
% 0.88/1.06  exact (zenon_H14 zenon_H12).
% 0.88/1.06  apply zenon_G. apply sym_equal. exact zenon_Hb.
% 0.88/1.06  Qed.
% 0.88/1.06  % SZS output end Proof
% 0.88/1.06  (* END-PROOF *)
% 0.88/1.06  nodes searched: 26059
% 0.88/1.06  max branch formulas: 1667
% 0.88/1.06  proof nodes created: 2493
% 0.88/1.06  formulas created: 95856
% 0.88/1.06  
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