%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUN088+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n018.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 : Mon Jul 18 16:42:16 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUN088+1 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n018.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 : Thu Jun  2 03:27:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.53  (* PROOF-FOUND *)
% 0.19/0.53  % SZS status Theorem
% 0.19/0.53  (* BEGIN-PROOF *)
% 0.19/0.53  % SZS output start Proof
% 0.19/0.53  Theorem zerounidone : (forall Y1 : zenon_U, ((forall Y2 : zenon_U, ((~(id Y2 Y1))\/(~(r1 Y2))))\/(forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y1)))))).
% 0.19/0.53  Proof.
% 0.19/0.53  apply NNPP. intro zenon_G.
% 0.19/0.53  apply (zenon_notallex_s (fun Y1 : zenon_U => ((forall Y2 : zenon_U, ((~(id Y2 Y1))\/(~(r1 Y2))))\/(forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y1)))))) zenon_G); [ zenon_intro zenon_H13; idtac ].
% 0.19/0.53  elim zenon_H13. zenon_intro zenon_TY1_u. zenon_intro zenon_H15.
% 0.19/0.53  apply (zenon_notor_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.19/0.53  apply (zenon_notallex_s (fun Y3 : zenon_U => ((~(r1 Y3))\/(~(r2 Y3 zenon_TY1_u)))) zenon_H16); [ zenon_intro zenon_H18; idtac ].
% 0.19/0.53  elim zenon_H18. zenon_intro zenon_TY3_z. zenon_intro zenon_H1a.
% 0.19/0.53  apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.19/0.53  apply zenon_H1b. zenon_intro zenon_H1d.
% 0.19/0.53  generalize (axiom_7a zenon_TY3_z). zenon_intro zenon_H1e.
% 0.19/0.53  generalize (zenon_H1e zenon_TY1_u). zenon_intro zenon_H1f.
% 0.19/0.53  apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ].
% 0.19/0.53  exact (zenon_H17 zenon_H21).
% 0.19/0.53  exact (zenon_H20 zenon_H1d).
% 0.19/0.53  Qed.
% 0.19/0.53  % SZS output end Proof
% 0.19/0.53  (* END-PROOF *)
% 0.19/0.53  nodes searched: 1380
% 0.19/0.53  max branch formulas: 814
% 0.19/0.53  proof nodes created: 120
% 0.19/0.53  formulas created: 9892
% 0.19/0.53  
%------------------------------------------------------------------------------