%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN730+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n007.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 13:55:21 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN730+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 : Mon Jul 11 17:11:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.50  (* PROOF-FOUND *)
% 0.20/0.50  % SZS status Theorem
% 0.20/0.50  (* BEGIN-PROOF *)
% 0.20/0.50  % SZS output start Proof
% 0.20/0.50  Theorem thm75 : (exists V : zenon_U, (forall J : zenon_U, (exists Q : zenon_U, (((p (a) J (h J))\/(p V J (k J)))->(p V J Q))))).
% 0.20/0.50  Proof.
% 0.20/0.50  apply NNPP. intro zenon_G.
% 0.20/0.50  apply zenon_G. exists (a). apply NNPP. zenon_intro zenon_H2.
% 0.20/0.50  apply (zenon_notallex_s (fun J : zenon_U => (exists Q : zenon_U, (((p (a) J (h J))\/(p (a) J (k J)))->(p (a) J Q)))) zenon_H2); [ zenon_intro zenon_H3; idtac ].
% 0.20/0.50  elim zenon_H3. zenon_intro zenon_TJ_e. zenon_intro zenon_H5.
% 0.20/0.50  apply zenon_H5. exists zenon_E. apply NNPP. zenon_intro zenon_H6.
% 0.20/0.50  apply (zenon_notimply_s _ _ zenon_H6). zenon_intro zenon_H8. zenon_intro zenon_H7.
% 0.20/0.50  apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.20/0.50  apply zenon_H5. exists (h zenon_TJ_e). apply NNPP. zenon_intro zenon_Hb.
% 0.20/0.50  apply (zenon_notimply_s _ _ zenon_Hb). zenon_intro zenon_H8. zenon_intro zenon_Hc.
% 0.20/0.50  exact (zenon_Hc zenon_Ha).
% 0.20/0.50  apply zenon_H5. exists (k zenon_TJ_e). apply NNPP. zenon_intro zenon_Hd.
% 0.20/0.50  apply (zenon_notimply_s _ _ zenon_Hd). zenon_intro zenon_H8. zenon_intro zenon_He.
% 0.20/0.50  exact (zenon_He zenon_H9).
% 0.20/0.50  Qed.
% 0.20/0.50  % SZS output end Proof
% 0.20/0.50  (* END-PROOF *)
% 0.20/0.50  nodes searched: 30
% 0.20/0.50  max branch formulas: 22
% 0.20/0.50  proof nodes created: 16
% 0.20/0.50  formulas created: 210
% 0.20/0.50  
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