%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n019.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 16:42:13 EDT 2022

% Result   : Theorem 0.20s 0.60s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  2 04:57:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.60  (* PROOF-FOUND *)
% 0.20/0.60  % SZS status Theorem
% 0.20/0.60  (* BEGIN-PROOF *)
% 0.20/0.60  % SZS output start Proof
% 0.20/0.60  Theorem oneeqone : (exists Y1 : zenon_U, ((Y1 = Y1)/\(exists Y2 : zenon_U, ((r1 Y2)/\(r2 Y2 Y1))))).
% 0.20/0.60  Proof.
% 0.20/0.60  assert (zenon_L1_ : forall (zenon_TY21_n : zenon_U) (zenon_TY24_o : zenon_U), ((~(r2 zenon_TY24_o zenon_TY21_n))/\(~(zenon_TY21_n = zenon_TY21_n))) -> False).
% 0.20/0.60  do 2 intro. intros zenon_Hc.
% 0.20/0.60  apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.20/0.60  apply zenon_Hf. apply refl_equal.
% 0.20/0.60  (* end of lemma zenon_L1_ *)
% 0.20/0.60  apply NNPP. intro zenon_G.
% 0.20/0.60  elim axiom_1. zenon_intro zenon_TY24_o. zenon_intro zenon_H11.
% 0.20/0.60  generalize (zenon_H11 zenon_TY24_o). zenon_intro zenon_H12.
% 0.20/0.60  apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.20/0.60  apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.20/0.60  apply zenon_H15. apply refl_equal.
% 0.20/0.60  apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.20/0.60  generalize (axiom_2 zenon_TY24_o). zenon_intro zenon_H19.
% 0.20/0.60  elim zenon_H19. zenon_intro zenon_TY21_n. zenon_intro zenon_H1a.
% 0.20/0.60  generalize (zenon_H1a zenon_TY21_n). zenon_intro zenon_H1b.
% 0.20/0.60  apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_Hc | zenon_intro zenon_H1c ].
% 0.20/0.60  apply (zenon_L1_ zenon_TY21_n zenon_TY24_o); trivial.
% 0.20/0.60  apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.20/0.60  apply zenon_G. exists zenon_TY21_n. apply NNPP. zenon_intro zenon_H1f.
% 0.20/0.60  apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_Hf | zenon_intro zenon_H20 ].
% 0.20/0.60  apply zenon_Hf. apply refl_equal.
% 0.20/0.60  apply zenon_H20. exists zenon_TY24_o. apply NNPP. zenon_intro zenon_H21.
% 0.20/0.60  apply (zenon_notand_s _ _ zenon_H21); [ zenon_intro zenon_H16 | zenon_intro zenon_H10 ].
% 0.20/0.60  exact (zenon_H16 zenon_H18).
% 0.20/0.60  exact (zenon_H10 zenon_H1e).
% 0.20/0.60  Qed.
% 0.20/0.60  % SZS output end Proof
% 0.20/0.60  (* END-PROOF *)
% 0.20/0.60  nodes searched: 5189
% 0.20/0.60  max branch formulas: 808
% 0.20/0.60  proof nodes created: 345
% 0.20/0.60  formulas created: 10601
% 0.20/0.60  
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