%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% 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 15:54:59 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n004.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 : Wed Jul  6 06:41:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.55  (* PROOF-FOUND *)
% 0.20/0.55  % SZS status Theorem
% 0.20/0.55  (* BEGIN-PROOF *)
% 0.20/0.55  % SZS output start Proof
% 0.20/0.55  Theorem sum_something_n0_samething : (exists X : zenon_U, (((less (nn1) X)/\(less X (n1)))->(sum (n21) X (n21)))).
% 0.20/0.55  Proof.
% 0.20/0.55  apply NNPP. intro zenon_G.
% 0.20/0.55  generalize (less_property (n1)). zenon_intro zenon_H192.
% 0.20/0.55  generalize (zenon_H192 (n1)). zenon_intro zenon_H193.
% 0.20/0.55  apply (zenon_equiv_s _ _ zenon_H193); [ zenon_intro zenon_H197; zenon_intro zenon_H196 | zenon_intro zenon_H195; zenon_intro zenon_H194 ].
% 0.20/0.55  apply zenon_G. exists (n1). apply NNPP. zenon_intro zenon_H198.
% 0.20/0.55  apply (zenon_notimply_s _ _ zenon_H198). zenon_intro zenon_H19a. zenon_intro zenon_H199.
% 0.20/0.55  apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19b. zenon_intro zenon_H195.
% 0.20/0.55  exact (zenon_H197 zenon_H195).
% 0.20/0.55  apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H19c.
% 0.20/0.55  exact (zenon_H197 zenon_H195).
% 0.20/0.55  Qed.
% 0.20/0.55  % SZS output end Proof
% 0.20/0.55  (* END-PROOF *)
% 0.20/0.55  nodes searched: 977
% 0.20/0.55  max branch formulas: 1375
% 0.20/0.55  proof nodes created: 9
% 0.20/0.55  formulas created: 12959
% 0.20/0.55  
%------------------------------------------------------------------------------