%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n008.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 16:22:46 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n008.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 : Tue Jul  5 00:10:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  (* PROOF-FOUND *)
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  (* BEGIN-PROOF *)
% 0.18/0.49  % SZS output start Proof
% 0.18/0.49  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)))))))))/\((((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))))/\(~(forall Y : zenon_U, ((~(r1 X Y))\/(~((p2 Y)/\((~(p102 Y))/\(p101 Y))))))))\/(~((~(p101 X))/\(p100 X))))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p2 Y))\/(~(p101 Y)))))\/(p2 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~(p101 Y)))))\/(~(p2 X))))\/(~(p101 X)))/\(((((forall Y : zenon_U, ((~(r1 X Y))\/((~(p1 Y))\/(~(p100 Y)))))\/(p1 X))/\((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~(p100 Y)))))\/(~(p1 X))))\/(~(p100 X)))/\(((p101 X)\/(~(p102 X)))/\(((p100 X)\/(~(p101 X)))/\((~(p101 X))/\(p100 X))))))))))))).
% 0.18/0.49  Proof.
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply zenon_G. zenon_intro zenon_H1.
% 0.18/0.49  elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3.
% 0.18/0.49  apply (zenon_notor_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4.
% 0.18/0.49  apply zenon_H4. zenon_intro zenon_H6.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H6). zenon_intro zenon_H8. zenon_intro zenon_H7.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_Ha. zenon_intro zenon_H9.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.18/0.49  apply zenon_H5. zenon_intro zenon_H15.
% 0.18/0.49  apply (zenon_or_s _ _ zenon_Ha); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.18/0.49  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_c Y))\/(~((~(p2 Y))/\((~(p102 Y))/\(p101 Y)))))) zenon_H19); [ zenon_intro zenon_H1a; idtac ].
% 0.18/0.49  elim zenon_H1a. zenon_intro zenon_TY_bb. zenon_intro zenon_H1c.
% 0.18/0.49  apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.18/0.49  apply zenon_H1d. zenon_intro zenon_H1f.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.18/0.49  apply zenon_H1e. zenon_intro zenon_H22.
% 0.18/0.49  generalize (zenon_H15 zenon_TY_bb). zenon_intro zenon_H23.
% 0.18/0.49  apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.18/0.49  exact (zenon_H25 zenon_H22).
% 0.18/0.49  exact (zenon_H21 zenon_H24).
% 0.18/0.49  apply (zenon_notand_s _ _ zenon_H16); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.18/0.49  exact (zenon_H27 zenon_H14).
% 0.18/0.49  exact (zenon_H26 zenon_H13).
% 0.18/0.49  Qed.
% 0.18/0.49  % SZS output end Proof
% 0.18/0.49  (* END-PROOF *)
% 0.18/0.49  nodes searched: 45
% 0.18/0.49  max branch formulas: 55
% 0.18/0.49  proof nodes created: 15
% 0.18/0.49  formulas created: 495
% 0.18/0.49  
%------------------------------------------------------------------------------