%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET575+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n005.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 0.51s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET575+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n005.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 : Sun Jul 10 14:40:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.51  (* PROOF-FOUND *)
% 0.19/0.51  % SZS status Theorem
% 0.19/0.51  (* BEGIN-PROOF *)
% 0.19/0.51  % SZS output start Proof
% 0.19/0.51  Theorem prove_th15 : (forall B : zenon_U, (forall C : zenon_U, ((intersect B C)->(exists D : zenon_U, ((member D B)/\(member D C)))))).
% 0.19/0.51  Proof.
% 0.19/0.51  apply NNPP. intro zenon_G.
% 0.19/0.51  apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((intersect B C)->(exists D : zenon_U, ((member D B)/\(member D C)))))) zenon_G); [ zenon_intro zenon_H3; idtac ].
% 0.19/0.51  elim zenon_H3. zenon_intro zenon_TB_e. zenon_intro zenon_H5.
% 0.19/0.51  apply (zenon_notallex_s (fun C : zenon_U => ((intersect zenon_TB_e C)->(exists D : zenon_U, ((member D zenon_TB_e)/\(member D C))))) zenon_H5); [ zenon_intro zenon_H6; idtac ].
% 0.19/0.51  elim zenon_H6. zenon_intro zenon_TC_h. zenon_intro zenon_H8.
% 0.19/0.51  apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_Ha. zenon_intro zenon_H9.
% 0.19/0.51  generalize (intersect_defn zenon_TB_e). zenon_intro zenon_Hb.
% 0.19/0.51  generalize (zenon_Hb zenon_TC_h). zenon_intro zenon_Hc.
% 0.19/0.51  apply (zenon_equiv_s _ _ zenon_Hc); [ zenon_intro zenon_He; zenon_intro zenon_H9 | zenon_intro zenon_Ha; zenon_intro zenon_Hd ].
% 0.19/0.51  exact (zenon_He zenon_Ha).
% 0.19/0.51  exact (zenon_H9 zenon_Hd).
% 0.19/0.51  Qed.
% 0.19/0.51  % SZS output end Proof
% 0.19/0.51  (* END-PROOF *)
% 0.19/0.51  nodes searched: 7
% 0.19/0.51  max branch formulas: 11
% 0.19/0.51  proof nodes created: 5
% 0.19/0.51  formulas created: 114
% 0.19/0.51  
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