%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM846+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n023.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 15:59:56 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
% 0.07/0.12  % Problem  : NUM846+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n023.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 20:09:26 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 holds(286, 441, 2) : ((vplus (vmul (vd436) (vplus (vd437) (vd439))) (vd436)) = (vplus (vplus (vmul (vd436) (vd437)) (vmul (vd436) (vd439))) (vd436))).
% 0.19/0.51  Proof.
% 0.19/0.51  apply NNPP. intro zenon_G.
% 0.19/0.51  cut (((vd436) = (vd436))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 0.19/0.51  cut (((vmul (vd436) (vplus (vd437) (vd439))) = (vplus (vmul (vd436) (vd437)) (vmul (vd436) (vd439))))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 0.19/0.51  congruence.
% 0.19/0.51  exact (zenon_H38 holds(285, 440, 0)).
% 0.19/0.51  apply zenon_H37. apply refl_equal.
% 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: 192
% 0.19/0.51  max branch formulas: 243
% 0.19/0.51  proof nodes created: 4
% 0.19/0.51  formulas created: 4826
% 0.19/0.51  
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