%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n028.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 06:39:41 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n028.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 : Sun Jul 10 09:58:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.49  (* PROOF-FOUND *)
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  (* BEGIN-PROOF *)
% 0.19/0.49  % SZS output start Proof
% 0.19/0.49  Theorem t69_zfmisc_1 : (forall A : zenon_U, (forall B : zenon_U, (((set_difference (singleton A) B) = (empty_set))\/((set_difference (singleton A) B) = (singleton A))))).
% 0.19/0.49  Proof.
% 0.19/0.49  apply NNPP. intro zenon_G.
% 0.19/0.49  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((set_difference (singleton A) B) = (empty_set))\/((set_difference (singleton A) B) = (singleton A))))) zenon_G); [ zenon_intro zenon_H7; idtac ].
% 0.19/0.49  elim zenon_H7. zenon_intro zenon_TA_i. zenon_intro zenon_H9.
% 0.19/0.49  apply (zenon_notallex_s (fun B : zenon_U => (((set_difference (singleton zenon_TA_i) B) = (empty_set))\/((set_difference (singleton zenon_TA_i) B) = (singleton zenon_TA_i)))) zenon_H9); [ zenon_intro zenon_Ha; idtac ].
% 0.19/0.49  elim zenon_Ha. zenon_intro zenon_TB_l. zenon_intro zenon_Hc.
% 0.19/0.49  apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.19/0.49  generalize (l34_zfmisc_1 zenon_TA_i). zenon_intro zenon_Hf.
% 0.19/0.49  generalize (zenon_Hf zenon_TB_l). zenon_intro zenon_H10.
% 0.19/0.49  apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_Hd; zenon_intro zenon_H13 | zenon_intro zenon_H12; zenon_intro zenon_H11 ].
% 0.19/0.49  apply zenon_H13. zenon_intro zenon_H14.
% 0.19/0.49  generalize (l36_zfmisc_1 zenon_TA_i). zenon_intro zenon_H15.
% 0.19/0.49  generalize (zenon_H15 zenon_TB_l). zenon_intro zenon_H16.
% 0.19/0.49  apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_He; zenon_intro zenon_H11 | zenon_intro zenon_H17; zenon_intro zenon_H14 ].
% 0.19/0.49  exact (zenon_H11 zenon_H14).
% 0.19/0.49  exact (zenon_He zenon_H17).
% 0.19/0.49  exact (zenon_Hd zenon_H12).
% 0.19/0.49  Qed.
% 0.19/0.49  % SZS output end Proof
% 0.19/0.49  (* END-PROOF *)
% 0.19/0.49  nodes searched: 52
% 0.19/0.49  max branch formulas: 41
% 0.19/0.49  proof nodes created: 14
% 0.19/0.49  formulas created: 292
% 0.19/0.49  
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