%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 16:23:54 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
% 0.03/0.12  % Problem  : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % 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  3 07:09:25 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, (~(False\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(False\/(~(forall X : zenon_U, ((~(r1 Y X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))))))))))))))).
% 0.18/0.49  Proof.
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply zenon_G. zenon_intro zenon_H3.
% 0.18/0.49  elim zenon_H3. zenon_intro zenon_TX_e. zenon_intro zenon_H5.
% 0.18/0.49  apply (zenon_notor_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.18/0.49  apply zenon_H6. zenon_intro zenon_H8.
% 0.18/0.49  generalize (zenon_H8 zenon_TX_e). zenon_intro zenon_H9.
% 0.18/0.49  apply (zenon_or_s _ _ zenon_H9); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ].
% 0.18/0.49  generalize (reflexivity zenon_TX_e). zenon_intro zenon_Hc.
% 0.18/0.49  exact (zenon_Hb zenon_Hc).
% 0.18/0.49  apply (zenon_or_s _ _ zenon_Ha); [ zenon_intro zenon_He | zenon_intro zenon_Hd ].
% 0.18/0.49  exact zenon_He.
% 0.18/0.49  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TX_e X))\/((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))\/(~(forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y))))))) zenon_Hd); [ zenon_intro zenon_Hf; idtac ].
% 0.18/0.49  elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11.
% 0.18/0.49  apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 0.18/0.49  apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.18/0.49  exact (zenon_H14 zenon_H15).
% 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: 25
% 0.18/0.49  max branch formulas: 20
% 0.18/0.49  proof nodes created: 14
% 0.18/0.49  formulas created: 207
% 0.18/0.49  
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