%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET786+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n016.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 06:38:34 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET786+1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n016.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 05:24:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.49  (* PROOF-FOUND *)
% 0.20/0.49  % SZS status Theorem
% 0.20/0.49  (* BEGIN-PROOF *)
% 0.20/0.49  % SZS output start Proof
% 0.20/0.49  Theorem thm25 : (~(exists Y : zenon_U, (forall X : zenon_U, ((element X Y)<->(~(exists Z : zenon_U, ((element X Z)/\(element Z X)))))))).
% 0.20/0.49  Proof.
% 0.20/0.49  apply NNPP. intro zenon_G.
% 0.20/0.49  apply zenon_G. zenon_intro zenon_H1.
% 0.20/0.49  elim zenon_H1. zenon_intro zenon_TY_c. zenon_intro zenon_H3.
% 0.20/0.49  generalize (zenon_H3 zenon_TY_c). zenon_intro zenon_H4.
% 0.20/0.49  apply (zenon_equiv_s _ _ zenon_H4); [ zenon_intro zenon_H8; zenon_intro zenon_H7 | zenon_intro zenon_H6; zenon_intro zenon_H5 ].
% 0.20/0.49  apply zenon_H7. zenon_intro zenon_H9.
% 0.20/0.49  elim zenon_H9. zenon_intro zenon_TZ_k. zenon_intro zenon_Hb.
% 0.20/0.49  apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.20/0.49  generalize (zenon_H3 zenon_TZ_k). zenon_intro zenon_He.
% 0.20/0.49  apply (zenon_equiv_s _ _ zenon_He); [ zenon_intro zenon_H11; zenon_intro zenon_H10 | zenon_intro zenon_Hc; zenon_intro zenon_Hf ].
% 0.20/0.49  exact (zenon_H11 zenon_Hc).
% 0.20/0.49  apply zenon_Hf. exists zenon_TY_c. apply NNPP. zenon_intro zenon_H12.
% 0.20/0.49  apply (zenon_notand_s _ _ zenon_H12); [ zenon_intro zenon_H11 | zenon_intro zenon_H13 ].
% 0.20/0.49  exact (zenon_H11 zenon_Hc).
% 0.20/0.49  exact (zenon_H13 zenon_Hd).
% 0.20/0.49  apply zenon_H5. exists zenon_TY_c. apply NNPP. zenon_intro zenon_H14.
% 0.20/0.49  apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H8 | zenon_intro zenon_H8 ].
% 0.20/0.49  exact (zenon_H8 zenon_H6).
% 0.20/0.49  exact (zenon_H8 zenon_H6).
% 0.20/0.49  Qed.
% 0.20/0.49  % SZS output end Proof
% 0.20/0.49  (* END-PROOF *)
% 0.20/0.49  nodes searched: 37
% 0.20/0.49  max branch formulas: 24
% 0.20/0.49  proof nodes created: 21
% 0.20/0.49  formulas created: 198
% 0.20/0.49  
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