%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n004.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 15:56:05 EDT 2022

% Result   : Theorem 1.01s 1.19s
% Output   : Proof 1.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jul  7 05:43:07 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 1.01/1.19  (* PROOF-FOUND *)
% 1.01/1.19  % SZS status Theorem
% 1.01/1.19  (* BEGIN-PROOF *)
% 1.01/1.19  % SZS output start Proof
% 1.01/1.19  Theorem m__ : ((isPrime0 (xk))->(exists W0 : zenon_U, ((aNaturalNumber0 W0)/\((doDivides0 W0 (xk))/\(isPrime0 W0))))).
% 1.01/1.19  Proof.
% 1.01/1.19  apply NNPP. intro zenon_G.
% 1.01/1.19  apply (zenon_and_s _ _ mSortsC_01). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 1.01/1.19  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 1.01/1.19  apply zenon_H2b. exists (xk). apply NNPP. zenon_intro zenon_H2d.
% 1.01/1.19  apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ].
% 1.01/1.19  exact (zenon_H2f m__1716).
% 1.01/1.19  apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ].
% 1.01/1.19  generalize (mDefDiv (xk)). zenon_intro zenon_H32.
% 1.01/1.19  generalize (zenon_H32 (xk)). zenon_intro zenon_H33.
% 1.01/1.19  apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 1.01/1.19  apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H2f | zenon_intro zenon_H2f ].
% 1.01/1.19  exact (zenon_H2f m__1716).
% 1.01/1.19  exact (zenon_H2f m__1716).
% 1.01/1.19  apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H31; zenon_intro zenon_H38 | zenon_intro zenon_H37; zenon_intro zenon_H36 ].
% 1.01/1.19  generalize (m_MulUnit (xk)). zenon_intro zenon_H39.
% 1.01/1.19  apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H2f | zenon_intro zenon_H3a ].
% 1.01/1.19  exact (zenon_H2f m__1716).
% 1.01/1.19  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 1.01/1.19  apply zenon_H38. exists (sz10). apply NNPP. zenon_intro zenon_H3d.
% 1.01/1.19  apply (zenon_notand_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ].
% 1.01/1.19  exact (zenon_H3f zenon_H2a).
% 1.01/1.19  apply zenon_H3e. apply sym_equal. exact zenon_H3c.
% 1.01/1.19  exact (zenon_H31 zenon_H37).
% 1.01/1.19  exact (zenon_H30 zenon_H2c).
% 1.01/1.19  Qed.
% 1.01/1.19  % SZS output end Proof
% 1.01/1.19  (* END-PROOF *)
% 1.01/1.19  nodes searched: 6188
% 1.01/1.19  max branch formulas: 3542
% 1.01/1.19  proof nodes created: 324
% 1.01/1.19  formulas created: 70255
% 1.01/1.19  
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