%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET574+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n022.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 06:36:56 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
% 0.12/0.12  % Problem  : SET574+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 23:22:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 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 prove_th13 : (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((member B C)/\(member B D))->(intersect C D))))).
% 0.19/0.50  Proof.
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (((member B C)/\(member B D))->(intersect C D))))) zenon_G); [ zenon_intro zenon_H3; idtac ].
% 0.19/0.50  elim zenon_H3. zenon_intro zenon_TB_e. zenon_intro zenon_H5.
% 0.19/0.50  apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((member zenon_TB_e C)/\(member zenon_TB_e D))->(intersect C D)))) zenon_H5); [ zenon_intro zenon_H6; idtac ].
% 0.19/0.50  elim zenon_H6. zenon_intro zenon_TC_h. zenon_intro zenon_H8.
% 0.19/0.50  apply (zenon_notallex_s (fun D : zenon_U => (((member zenon_TB_e zenon_TC_h)/\(member zenon_TB_e D))->(intersect zenon_TC_h D))) zenon_H8); [ zenon_intro zenon_H9; idtac ].
% 0.19/0.50  elim zenon_H9. zenon_intro zenon_TD_k. zenon_intro zenon_Hb.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.19/0.50  generalize (intersect_defn zenon_TC_h). zenon_intro zenon_H10.
% 0.19/0.50  generalize (zenon_H10 zenon_TD_k). zenon_intro zenon_H11.
% 0.19/0.50  apply (zenon_equiv_s _ _ zenon_H11); [ zenon_intro zenon_Hc; zenon_intro zenon_H14 | zenon_intro zenon_H13; zenon_intro zenon_H12 ].
% 0.19/0.50  apply zenon_H14. exists zenon_TB_e. apply NNPP. zenon_intro zenon_H15.
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.19/0.50  exact (zenon_H17 zenon_Hf).
% 0.19/0.50  exact (zenon_H16 zenon_He).
% 0.19/0.50  exact (zenon_Hc zenon_H13).
% 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: 16
% 0.19/0.50  max branch formulas: 16
% 0.19/0.50  proof nodes created: 10
% 0.19/0.50  formulas created: 157
% 0.19/0.50  
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