%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SWW229+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n032.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 : Thu Jul 21 02:21:23 EDT 2022

% Result   : Theorem 2.62s 2.82s
% Output   : Proof 2.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SWW229+1 : TPTP v8.1.0. Released v5.2.0.
% 0.02/0.09  % Command  : run_zenon %s %d
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Sun Jun  5 19:35:04 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 2.62/2.82  (* PROOF-FOUND *)
% 2.62/2.82  % SZS status Theorem
% 2.62/2.82  (* BEGIN-PROOF *)
% 2.62/2.82  % SZS output start Proof
% 2.62/2.82  Theorem conj_0 : (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____))))) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))).
% 2.62/2.82  Proof.
% 2.62/2.82  apply NNPP. intro zenon_G.
% 2.62/2.82  generalize (fact_norm__triangle__ineq3 (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))). zenon_intro zenon_H4be.
% 2.62/2.82  generalize (zenon_H4be (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))). zenon_intro zenon_H4bf.
% 2.62/2.82  generalize (zenon_H4bf (tc_Complex_Ocomplex)). zenon_intro zenon_H4c0.
% 2.62/2.82  apply (zenon_imply_s _ _ zenon_H4c0); [ zenon_intro zenon_H4c2 | zenon_intro zenon_H4c1 ].
% 2.62/2.82  exact (zenon_H4c2 arity_Complex__Ocomplex__RealVector_Oreal__normed__vector).
% 2.62/2.82  exact (zenon_G zenon_H4c1).
% 2.62/2.82  Qed.
% 2.62/2.82  % SZS output end Proof
% 2.62/2.82  (* END-PROOF *)
% 2.62/2.82  nodes searched: 12457
% 2.62/2.82  max branch formulas: 12847
% 2.62/2.82  proof nodes created: 29
% 2.62/2.82  formulas created: 397732
% 2.62/2.82  
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