%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN986+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n003.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 : Thu Jul 21 13:56:53 EDT 2022

% Result   : Theorem 0.39s 0.58s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN986+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_zenon %s %d
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 23:21:00 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.39/0.58  (* PROOF-FOUND *)
% 0.39/0.58  % SZS status Theorem
% 0.39/0.58  (* BEGIN-PROOF *)
% 0.39/0.58  % SZS output start Proof
% 0.39/0.58  Theorem ck : (exists Z1 : zenon_U, (exists Z0 : zenon_U, ((r (zero) (zero) Z1)/\(r (zero) Z1 Z0)))).
% 0.39/0.58  Proof.
% 0.39/0.58  apply NNPP. intro zenon_G.
% 0.39/0.58  generalize (hyp2 (zero)). zenon_intro zenon_H3.
% 0.39/0.58  generalize (hyp1 (zero)). zenon_intro zenon_H4.
% 0.39/0.58  generalize (zenon_H3 (zero)). zenon_intro zenon_H5.
% 0.39/0.58  generalize (zenon_H5 (succ (zero))). zenon_intro zenon_H6.
% 0.39/0.58  generalize (hyp1 (succ (zero))). zenon_intro zenon_H7.
% 0.39/0.58  generalize (zenon_H6 (succ (succ (zero)))). zenon_intro zenon_H8.
% 0.39/0.58  apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.39/0.58  exact (zenon_Ha zenon_H4).
% 0.39/0.58  apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ].
% 0.39/0.58  exact (zenon_Hc zenon_H7).
% 0.39/0.58  apply zenon_G. exists (succ (zero)). apply NNPP. zenon_intro zenon_Hd.
% 0.39/0.58  apply zenon_Hd. exists (succ (succ (zero))). apply NNPP. zenon_intro zenon_He.
% 0.39/0.58  apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_Ha | zenon_intro zenon_Hf ].
% 0.39/0.58  exact (zenon_Ha zenon_H4).
% 0.39/0.58  exact (zenon_Hf zenon_Hb).
% 0.39/0.58  Qed.
% 0.39/0.58  % SZS output end Proof
% 0.39/0.58  (* END-PROOF *)
% 0.39/0.58  nodes searched: 1801
% 0.39/0.58  max branch formulas: 248
% 0.39/0.58  proof nodes created: 78
% 0.39/0.58  formulas created: 2003
% 0.39/0.58  
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