%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n029.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 15:54:58 EDT 2022

% Result   : Theorem 0.18s 0.53s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : run_zenon %s %d
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jul  7 18:06:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.53  (* PROOF-FOUND *)
% 0.18/0.53  % SZS status Theorem
% 0.18/0.53  (* BEGIN-PROOF *)
% 0.18/0.53  % SZS output start Proof
% 0.18/0.53  Theorem add_same_as_subtract : (exists X : zenon_U, (exists Y : zenon_U, (exists Z : zenon_U, ((sum X Y Z)<->((difference Z Y X)/\(difference Z X Y)))))).
% 0.18/0.53  Proof.
% 0.18/0.53  apply NNPP. intro zenon_G.
% 0.18/0.53  apply zenon_G. exists (n1). apply NNPP. zenon_intro zenon_H193.
% 0.18/0.53  apply zenon_H193. exists (n1). apply NNPP. zenon_intro zenon_H194.
% 0.18/0.53  apply zenon_H194. exists zenon_E. apply NNPP. zenon_intro zenon_H195.
% 0.18/0.53  apply (zenon_notequiv_s _ _ zenon_H195); [ zenon_intro zenon_H199; zenon_intro zenon_H198 | zenon_intro zenon_H197; zenon_intro zenon_H196 ].
% 0.18/0.53  generalize (minus_entry_point zenon_E). zenon_intro zenon_H19a.
% 0.18/0.53  generalize (zenon_H19a (n1)). zenon_intro zenon_H19b.
% 0.18/0.53  generalize (zenon_H19b (n1)). zenon_intro zenon_H19c.
% 0.18/0.53  apply (zenon_equiv_s _ _ zenon_H19c); [ zenon_intro zenon_H199; zenon_intro zenon_H19e | zenon_intro zenon_H197; zenon_intro zenon_H19d ].
% 0.18/0.53  apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19d. zenon_intro zenon_H19d.
% 0.18/0.53  exact (zenon_H19e zenon_H19d).
% 0.18/0.53  exact (zenon_H199 zenon_H197).
% 0.18/0.53  generalize (minus_entry_point zenon_E). zenon_intro zenon_H19a.
% 0.18/0.53  generalize (zenon_H19a (n1)). zenon_intro zenon_H19b.
% 0.18/0.53  generalize (zenon_H19b (n1)). zenon_intro zenon_H19c.
% 0.18/0.53  apply (zenon_equiv_s _ _ zenon_H19c); [ zenon_intro zenon_H199; zenon_intro zenon_H19e | zenon_intro zenon_H197; zenon_intro zenon_H19d ].
% 0.18/0.53  exact (zenon_H199 zenon_H197).
% 0.18/0.53  apply (zenon_notand_s _ _ zenon_H196); [ zenon_intro zenon_H19e | zenon_intro zenon_H19e ].
% 0.18/0.53  exact (zenon_H19e zenon_H19d).
% 0.18/0.53  exact (zenon_H19e zenon_H19d).
% 0.18/0.53  Qed.
% 0.18/0.53  % SZS output end Proof
% 0.18/0.53  (* END-PROOF *)
% 0.18/0.53  nodes searched: 1055
% 0.18/0.53  max branch formulas: 1409
% 0.18/0.53  proof nodes created: 15
% 0.18/0.53  formulas created: 13696
% 0.18/0.53  
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