%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET602+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n018.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 06:37:13 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET602+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n018.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 : Sat Jul  9 23:28:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  (* PROOF-FOUND *)
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  (* BEGIN-PROOF *)
% 0.18/0.49  % SZS output start Proof
% 0.18/0.49  Theorem prove_self_difference_is_empty_set : (forall B : zenon_U, ((difference B B) = (empty_set))).
% 0.18/0.49  Proof.
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply (zenon_notallex_s (fun B : zenon_U => ((difference B B) = (empty_set))) zenon_G); [ zenon_intro zenon_H8; idtac ].
% 0.18/0.49  elim zenon_H8. zenon_intro zenon_TB_j. zenon_intro zenon_Ha.
% 0.18/0.49  generalize (difference_empty_set zenon_TB_j). zenon_intro zenon_Hb.
% 0.18/0.49  generalize (zenon_Hb zenon_TB_j). zenon_intro zenon_Hc.
% 0.18/0.49  apply (zenon_equiv_s _ _ zenon_Hc); [ zenon_intro zenon_Ha; zenon_intro zenon_Hf | zenon_intro zenon_He; zenon_intro zenon_Hd ].
% 0.18/0.49  generalize (reflexivity_of_subset zenon_TB_j). zenon_intro zenon_Hd.
% 0.18/0.49  exact (zenon_Hf zenon_Hd).
% 0.18/0.49  exact (zenon_Ha zenon_He).
% 0.18/0.49  Qed.
% 0.18/0.49  % SZS output end Proof
% 0.18/0.49  (* END-PROOF *)
% 0.18/0.49  nodes searched: 93
% 0.18/0.49  max branch formulas: 72
% 0.18/0.49  proof nodes created: 11
% 0.18/0.49  formulas created: 644
% 0.18/0.49  
%------------------------------------------------------------------------------