%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : KLE003+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 : Sun Jul 17 02:37:10 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : KLE003+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n004.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 : Thu Jun 16 12:33:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.51  (* PROOF-FOUND *)
% 0.19/0.51  % SZS status Theorem
% 0.19/0.51  (* BEGIN-PROOF *)
% 0.19/0.51  % SZS output start Proof
% 0.19/0.51  Theorem goals : ((forall X0 : zenon_U, ((addition X0 X0) = X0))<->((addition (one) (one)) = (one))).
% 0.19/0.51  Proof.
% 0.19/0.51  apply NNPP. intro zenon_G.
% 0.19/0.51  apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_Hf; zenon_intro zenon_He | zenon_intro additive_idempotence; zenon_intro zenon_Hd ].
% 0.19/0.51  exact (zenon_Hf additive_idempotence).
% 0.19/0.51  generalize (additive_idempotence (one)). zenon_intro zenon_He.
% 0.19/0.51  exact (zenon_Hd zenon_He).
% 0.19/0.51  Qed.
% 0.19/0.51  % SZS output end Proof
% 0.19/0.51  (* END-PROOF *)
% 0.19/0.51  nodes searched: 85
% 0.19/0.51  max branch formulas: 69
% 0.19/0.51  proof nodes created: 7
% 0.19/0.51  formulas created: 911
% 0.19/0.51  
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