%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU152+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n029.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 15:59:45 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU152+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n029.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 Jun 20 02:53:45 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.50  Zenon warning: unused variable (B : zenon_U) in idempotence_k2_xboole_0
% 0.19/0.50  Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.19/0.50  (* PROOF-FOUND *)
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  (* BEGIN-PROOF *)
% 0.19/0.50  % SZS output start Proof
% 0.19/0.50  Theorem l23_zfmisc_1 : (forall A : zenon_U, (forall B : zenon_U, ((in A B)->((set_union2 (singleton A) B) = B)))).
% 0.19/0.50  Proof.
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((in A B)->((set_union2 (singleton A) B) = B)))) zenon_G); [ zenon_intro zenon_H8; idtac ].
% 0.19/0.50  elim zenon_H8. zenon_intro zenon_TA_j. zenon_intro zenon_Ha.
% 0.19/0.50  apply (zenon_notallex_s (fun B : zenon_U => ((in zenon_TA_j B)->((set_union2 (singleton zenon_TA_j) B) = B))) zenon_Ha); [ zenon_intro zenon_Hb; idtac ].
% 0.19/0.50  elim zenon_Hb. zenon_intro zenon_TB_m. zenon_intro zenon_Hd.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_Hd). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.19/0.50  generalize (t12_xboole_1 (singleton zenon_TA_j)). zenon_intro zenon_H10.
% 0.19/0.50  generalize (zenon_H10 zenon_TB_m). zenon_intro zenon_H11.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.19/0.50  generalize (l2_zfmisc_1 zenon_TA_j). zenon_intro zenon_H14.
% 0.19/0.50  generalize (zenon_H14 zenon_TB_m). zenon_intro zenon_H15.
% 0.19/0.50  apply (zenon_equiv_s _ _ zenon_H15); [ zenon_intro zenon_H13; zenon_intro zenon_H17 | zenon_intro zenon_H16; zenon_intro zenon_Hf ].
% 0.19/0.50  exact (zenon_H17 zenon_Hf).
% 0.19/0.50  exact (zenon_H13 zenon_H16).
% 0.19/0.50  exact (zenon_He zenon_H12).
% 0.19/0.50  Qed.
% 0.19/0.50  % SZS output end Proof
% 0.19/0.50  (* END-PROOF *)
% 0.19/0.50  nodes searched: 308
% 0.19/0.50  max branch formulas: 124
% 0.19/0.50  proof nodes created: 61
% 0.19/0.50  formulas created: 1148
% 0.19/0.50  
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