%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : LCL656+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n009.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 : Sun Jul 17 16:23:17 EDT 2022

% Result   : Theorem 0.18s 0.46s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LCL656+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.11  % Command  : run_zenon %s %d
% 0.11/0.31  % Computer : n009.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sun Jul  3 07:22:07 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.46  (* PROOF-FOUND *)
% 0.18/0.46  % SZS status Theorem
% 0.18/0.46  (* BEGIN-PROOF *)
% 0.18/0.46  % SZS output start Proof
% 0.18/0.46  Theorem main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y)))))))))/\((~(p101 X))/\(p100 X)))))))).
% 0.18/0.46  Proof.
% 0.18/0.46  apply NNPP. intro zenon_G.
% 0.18/0.46  apply zenon_G. zenon_intro zenon_H2.
% 0.18/0.46  elim zenon_H2. zenon_intro zenon_TX_d. zenon_intro zenon_H4.
% 0.18/0.46  apply (zenon_notor_s _ _ zenon_H4). zenon_intro zenon_H6. zenon_intro zenon_H5.
% 0.18/0.46  apply zenon_H5. zenon_intro zenon_H7.
% 0.18/0.46  apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.18/0.46  apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.18/0.46  apply zenon_H6. zenon_intro zenon_Hc.
% 0.18/0.46  generalize (zenon_H9 zenon_TX_d). zenon_intro zenon_Hd.
% 0.18/0.46  apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.18/0.46  generalize (reflexivity zenon_TX_d). zenon_intro zenon_H10.
% 0.18/0.46  exact (zenon_Hf zenon_H10).
% 0.18/0.46  apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.18/0.46  apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.18/0.46  apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.18/0.46  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TX_d X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))) zenon_H16); [ zenon_intro zenon_H17; idtac ].
% 0.18/0.46  elim zenon_H17. zenon_intro zenon_TX_y. zenon_intro zenon_H19.
% 0.18/0.46  apply (zenon_notor_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.18/0.46  apply zenon_H1a. zenon_intro zenon_H1c.
% 0.18/0.46  apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.18/0.46  apply zenon_H1b. zenon_intro zenon_H1f.
% 0.18/0.46  generalize (zenon_Hc zenon_TX_y). zenon_intro zenon_H20.
% 0.18/0.46  apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.18/0.46  exact (zenon_H22 zenon_H1f).
% 0.18/0.46  exact (zenon_H1e zenon_H21).
% 0.18/0.46  apply (zenon_notand_s _ _ zenon_H13); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.18/0.46  exact (zenon_H24 zenon_Hb).
% 0.18/0.46  exact (zenon_H23 zenon_Ha).
% 0.18/0.46  Qed.
% 0.18/0.46  % SZS output end Proof
% 0.18/0.46  (* END-PROOF *)
% 0.18/0.46  nodes searched: 49
% 0.18/0.46  max branch formulas: 57
% 0.18/0.46  proof nodes created: 19
% 0.18/0.46  formulas created: 450
% 0.18/0.46  
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