%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUN088+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n023.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 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : NUN088+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.14  % Command  : run_zenon %s %d
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun  2 05:51:41 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.53  (* PROOF-FOUND *)
% 0.20/0.53  % SZS status Theorem
% 0.20/0.53  (* BEGIN-PROOF *)
% 0.20/0.53  % SZS output start Proof
% 0.20/0.53  Theorem zerouneqone : (forall Y1 : zenon_U, ((forall Y2 : zenon_U, ((~(r1 Y2))\/(~(Y2 = Y1))))\/(forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y1)))))).
% 0.20/0.53  Proof.
% 0.20/0.53  apply NNPP. intro zenon_G.
% 0.20/0.53  apply (zenon_notallex_s (fun Y1 : zenon_U => ((forall Y2 : zenon_U, ((~(r1 Y2))\/(~(Y2 = Y1))))\/(forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y1)))))) zenon_G); [ zenon_intro zenon_Hc; idtac ].
% 0.20/0.53  elim zenon_Hc. zenon_intro zenon_TY1_n. zenon_intro zenon_He.
% 0.20/0.53  apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.20/0.53  apply (zenon_notallex_s (fun Y3 : zenon_U => ((~(r1 Y3))\/(~(r2 Y3 zenon_TY1_n)))) zenon_Hf); [ zenon_intro zenon_H11; idtac ].
% 0.20/0.53  elim zenon_H11. zenon_intro zenon_TY3_s. zenon_intro zenon_H13.
% 0.20/0.53  apply (zenon_notor_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.20/0.53  apply zenon_H14. zenon_intro zenon_H16.
% 0.20/0.53  generalize (axiom_7a zenon_TY3_s). zenon_intro zenon_H17.
% 0.20/0.53  generalize (zenon_H17 zenon_TY1_n). zenon_intro zenon_H18.
% 0.20/0.53  apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 0.20/0.53  exact (zenon_H10 zenon_H1a).
% 0.20/0.53  exact (zenon_H19 zenon_H16).
% 0.20/0.53  Qed.
% 0.20/0.53  % SZS output end Proof
% 0.20/0.53  (* END-PROOF *)
% 0.20/0.53  nodes searched: 200
% 0.20/0.53  max branch formulas: 180
% 0.20/0.53  proof nodes created: 24
% 0.20/0.53  formulas created: 1306
% 0.20/0.53  
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