%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n026.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 06:39:39 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13  % Command  : run_zenon %s %d
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 09:31:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.51  Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.20/0.51  (* PROOF-FOUND *)
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  (* BEGIN-PROOF *)
% 0.20/0.51  % SZS output start Proof
% 0.20/0.51  Theorem t66_zfmisc_1 : (forall A : zenon_U, (forall B : zenon_U, (~(((set_difference A (singleton B)) = (empty_set))/\((~(A = (empty_set)))/\(~(A = (singleton B)))))))).
% 0.20/0.51  Proof.
% 0.20/0.51  apply NNPP. intro zenon_G.
% 0.20/0.51  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (~(((set_difference A (singleton B)) = (empty_set))/\((~(A = (empty_set)))/\(~(A = (singleton B)))))))) zenon_G); [ zenon_intro zenon_H7; idtac ].
% 0.20/0.51  elim zenon_H7. zenon_intro zenon_TA_i. zenon_intro zenon_H9.
% 0.20/0.51  apply (zenon_notallex_s (fun B : zenon_U => (~(((set_difference zenon_TA_i (singleton B)) = (empty_set))/\((~(zenon_TA_i = (empty_set)))/\(~(zenon_TA_i = (singleton B))))))) zenon_H9); [ zenon_intro zenon_Ha; idtac ].
% 0.20/0.51  elim zenon_Ha. zenon_intro zenon_TB_l. zenon_intro zenon_Hc.
% 0.20/0.51  apply zenon_Hc. zenon_intro zenon_Hd.
% 0.20/0.51  apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.20/0.51  apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10.
% 0.20/0.51  generalize (l4_zfmisc_1 zenon_TA_i). zenon_intro zenon_H12.
% 0.20/0.51  generalize (zenon_H12 zenon_TB_l). zenon_intro zenon_H13.
% 0.20/0.51  apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_H17; zenon_intro zenon_H16 | zenon_intro zenon_H15; zenon_intro zenon_H14 ].
% 0.20/0.51  generalize (t37_xboole_1 zenon_TA_i). zenon_intro zenon_H18.
% 0.20/0.51  generalize (zenon_H18 (singleton zenon_TB_l)). zenon_intro zenon_H19.
% 0.20/0.51  apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H1a; zenon_intro zenon_H17 | zenon_intro zenon_Hf; zenon_intro zenon_H15 ].
% 0.20/0.51  exact (zenon_H1a zenon_Hf).
% 0.20/0.51  exact (zenon_H17 zenon_H15).
% 0.20/0.51  apply (zenon_or_s _ _ zenon_H14); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 0.20/0.51  exact (zenon_H11 zenon_H1c).
% 0.20/0.51  exact (zenon_H10 zenon_H1b).
% 0.20/0.51  Qed.
% 0.20/0.51  % SZS output end Proof
% 0.20/0.51  (* END-PROOF *)
% 0.20/0.51  nodes searched: 59
% 0.20/0.51  max branch formulas: 44
% 0.20/0.51  proof nodes created: 13
% 0.20/0.51  formulas created: 328
% 0.20/0.51  
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