%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET355+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n007.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 06:35:43 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET355+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n007.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 02:54:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.53  (* PROOF-FOUND *)
% 0.19/0.53  % SZS status Theorem
% 0.19/0.53  (* BEGIN-PROOF *)
% 0.19/0.53  % SZS output start Proof
% 0.19/0.53  Theorem thI43 : (forall A : zenon_U, (forall X : zenon_U, ((member X A)->(subset X (sum A))))).
% 0.19/0.53  Proof.
% 0.19/0.53  apply NNPP. intro zenon_G.
% 0.19/0.53  apply (zenon_notallex_s (fun A : zenon_U => (forall X : zenon_U, ((member X A)->(subset X (sum A))))) zenon_G); [ zenon_intro zenon_Hc; idtac ].
% 0.19/0.53  elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He.
% 0.19/0.53  apply (zenon_notallex_s (fun X : zenon_U => ((member X zenon_TA_n)->(subset X (sum zenon_TA_n)))) zenon_He); [ zenon_intro zenon_Hf; idtac ].
% 0.19/0.53  elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11.
% 0.19/0.53  apply (zenon_notimply_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 0.19/0.53  generalize (subset zenon_TX_q). zenon_intro zenon_H14.
% 0.19/0.53  generalize (zenon_H14 (sum zenon_TA_n)). zenon_intro zenon_H15.
% 0.19/0.53  apply (zenon_equiv_s _ _ zenon_H15); [ zenon_intro zenon_H12; zenon_intro zenon_H18 | zenon_intro zenon_H17; zenon_intro zenon_H16 ].
% 0.19/0.53  apply (zenon_notallex_s (fun X : zenon_U => ((member X zenon_TX_q)->(member X (sum zenon_TA_n)))) zenon_H18); [ zenon_intro zenon_H19; idtac ].
% 0.19/0.53  elim zenon_H19. zenon_intro zenon_TX_ba. zenon_intro zenon_H1b.
% 0.19/0.53  apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.19/0.53  generalize (sum zenon_TX_ba). zenon_intro zenon_H1e.
% 0.19/0.53  generalize (zenon_H1e zenon_TA_n). zenon_intro zenon_H1f.
% 0.19/0.53  apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H1c; zenon_intro zenon_H22 | zenon_intro zenon_H21; zenon_intro zenon_H20 ].
% 0.19/0.53  apply zenon_H22. exists zenon_TX_q. apply NNPP. zenon_intro zenon_H23.
% 0.19/0.53  apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.19/0.53  exact (zenon_H25 zenon_H13).
% 0.19/0.53  exact (zenon_H24 zenon_H1d).
% 0.19/0.53  exact (zenon_H1c zenon_H21).
% 0.19/0.53  exact (zenon_H12 zenon_H17).
% 0.19/0.53  Qed.
% 0.19/0.53  % SZS output end Proof
% 0.19/0.53  (* END-PROOF *)
% 0.19/0.53  nodes searched: 982
% 0.19/0.53  max branch formulas: 658
% 0.19/0.53  proof nodes created: 57
% 0.19/0.53  formulas created: 7233
% 0.19/0.53  
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