%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU161+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n032.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 15:59:52 EDT 2022

% Result   : Theorem 0.15s 0.41s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SEU161+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.10  % Command  : run_zenon %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Sun Jun 19 17:17:33 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.41  Zenon warning: unused variable (B : zenon_U) in idempotence_k2_xboole_0
% 0.15/0.41  (* PROOF-FOUND *)
% 0.15/0.41  % SZS status Theorem
% 0.15/0.41  (* BEGIN-PROOF *)
% 0.15/0.41  % SZS output start Proof
% 0.15/0.41  Theorem t46_zfmisc_1 : (forall A : zenon_U, (forall B : zenon_U, ((in A B)->((set_union2 (singleton A) B) = B)))).
% 0.15/0.41  Proof.
% 0.15/0.41  apply NNPP. intro zenon_G.
% 0.15/0.41  exact (zenon_G l23_zfmisc_1).
% 0.15/0.41  Qed.
% 0.15/0.41  % SZS output end Proof
% 0.15/0.41  (* END-PROOF *)
% 0.15/0.41  nodes searched: 8
% 0.15/0.41  max branch formulas: 17
% 0.15/0.41  proof nodes created: 1
% 0.15/0.41  formulas created: 163
% 0.15/0.41  
%------------------------------------------------------------------------------