%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET576+3 : TPTP v8.1.0. Released v2.2.0.
% 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 06:36:56 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET576+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n029.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 12:45:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.49  (* PROOF-FOUND *)
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  (* BEGIN-PROOF *)
% 0.19/0.49  % SZS output start Proof
% 0.19/0.49  Theorem prove_th17 : (forall B : zenon_U, (forall C : zenon_U, ((forall D : zenon_U, ((member D B)->(~(member D C))))->(disjoint B C)))).
% 0.19/0.49  Proof.
% 0.19/0.49  apply NNPP. intro zenon_G.
% 0.19/0.49  apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((forall D : zenon_U, ((member D B)->(~(member D C))))->(disjoint B C)))) zenon_G); [ zenon_intro zenon_H4; idtac ].
% 0.19/0.49  elim zenon_H4. zenon_intro zenon_TB_f. zenon_intro zenon_H6.
% 0.19/0.49  apply (zenon_notallex_s (fun C : zenon_U => ((forall D : zenon_U, ((member D zenon_TB_f)->(~(member D C))))->(disjoint zenon_TB_f C))) zenon_H6); [ zenon_intro zenon_H7; idtac ].
% 0.19/0.49  elim zenon_H7. zenon_intro zenon_TC_i. zenon_intro zenon_H9.
% 0.19/0.49  apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.19/0.49  generalize (disjoint_defn zenon_TB_f). zenon_intro zenon_Hc.
% 0.19/0.49  generalize (zenon_Hc zenon_TC_i). zenon_intro zenon_Hd.
% 0.19/0.49  apply (zenon_equiv_s _ _ zenon_Hd); [ zenon_intro zenon_Ha; zenon_intro zenon_H10 | zenon_intro zenon_Hf; zenon_intro zenon_He ].
% 0.19/0.49  apply zenon_H10. zenon_intro zenon_H11.
% 0.19/0.49  generalize (intersect_defn zenon_TB_f). zenon_intro zenon_H12.
% 0.19/0.49  generalize (zenon_H12 zenon_TC_i). zenon_intro zenon_H13.
% 0.19/0.49  apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_He; zenon_intro zenon_H15 | zenon_intro zenon_H11; zenon_intro zenon_H14 ].
% 0.19/0.49  exact (zenon_He zenon_H11).
% 0.19/0.49  elim zenon_H14. zenon_intro zenon_TD_w. zenon_intro zenon_H17.
% 0.19/0.49  apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.19/0.49  generalize (zenon_Hb zenon_TD_w). zenon_intro zenon_H1a.
% 0.19/0.49  apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 0.19/0.49  exact (zenon_H1c zenon_H19).
% 0.19/0.49  exact (zenon_H1b zenon_H18).
% 0.19/0.49  exact (zenon_Ha zenon_Hf).
% 0.19/0.49  Qed.
% 0.19/0.49  % SZS output end Proof
% 0.19/0.49  (* END-PROOF *)
% 0.19/0.49  nodes searched: 18
% 0.19/0.49  max branch formulas: 18
% 0.19/0.49  proof nodes created: 13
% 0.19/0.49  formulas created: 163
% 0.19/0.49  
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