TSTP Solution File: ALG386-1 by Otter---3.3

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : ALG386-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n026.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  : 300s
% DateTime : Wed Jul 27 12:46:36 EDT 2022

% Result   : Unknown 160.38s 160.47s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG386-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 03:50:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 159.25/159.36  ----- Otter 3.3f, August 2004 -----
% 159.25/159.36  The process was started by sandbox2 on n026.cluster.edu,
% 159.25/159.36  Wed Jul 27 03:50:54 2022
% 159.25/159.36  The command was "./otter".  The process ID is 17285.
% 159.25/159.36  
% 159.25/159.36  set(prolog_style_variables).
% 159.25/159.36  set(auto).
% 159.25/159.36     dependent: set(auto1).
% 159.25/159.36     dependent: set(process_input).
% 159.25/159.36     dependent: clear(print_kept).
% 159.25/159.36     dependent: clear(print_new_demod).
% 159.25/159.36     dependent: clear(print_back_demod).
% 159.25/159.36     dependent: clear(print_back_sub).
% 159.25/159.36     dependent: set(control_memory).
% 159.25/159.36     dependent: assign(max_mem, 12000).
% 159.25/159.36     dependent: assign(pick_given_ratio, 4).
% 159.25/159.36     dependent: assign(stats_level, 1).
% 159.25/159.36     dependent: assign(max_seconds, 10800).
% 159.25/159.36  clear(print_given).
% 159.25/159.36  
% 159.25/159.36  list(usable).
% 159.25/159.36  0 [] A=A.
% 159.25/159.36  0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.36  0 [] c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)|V_y=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.25/159.36  0 [] c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a).
% 159.25/159.36  0 [] -class_Nat_Osemiring__char__0(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.25/159.36  0 [] -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_a,V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ouminus__class_Ouminus(V_a,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)|V_c=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a)=V_d.
% 159.25/159.36  0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a).
% 159.25/159.36  0 [] c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)|V_c=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_a=V_b.
% 159.25/159.36  0 [] c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)|V_c=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_a=V_b.
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a).
% 159.25/159.36  0 [] c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 159.25/159.36  0 [] c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Ominus__class_Ominus(V_b,V_a,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 159.25/159.36  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=V_y.
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)| -c_lesse_quals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.36  0 [] -class_OrderedGroup_Olordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 159.25/159.36  0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=V_y|V_x=c_HOL_Ouminus__class_Ouminus(V_z,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Osemiring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 159.25/159.36  0 [] c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)=c_HOL_Otimes__class_Otimes(V_b,V_a,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)=c_HOL_Otimes__class_Otimes(V_y,V_x,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=V_a.
% 159.25/159.36  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Olordered__ring(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 159.25/159.36  0 [] -class_Nat_Osemiring__char__0(T_a)|c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)!=c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)|V_m=V_n.
% 159.25/159.36  0 [] -class_Ring__and__Field_Oidom(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_a,T_a)!=c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)|V_a=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)=V_a|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Olordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),V_h,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_h,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__vector(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Omult__zero(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Omult__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Oinverse__class_Oinverse(V_b,T_a)|V_a=V_b|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x!=c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Ouminus__class_Ouminus(V_a,T_a)|c_HOL_Ozero__class_Ozero(T_a)=V_a.
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 159.25/159.36  0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 159.25/159.36  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 159.25/159.36  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)=V_x.
% 159.25/159.36  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Opordered__ring__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Opordered__ring__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Opordered__ring__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Opordered__ring__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=c_HOL_Ouminus__class_Ouminus(V_a,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a).
% 159.25/159.36  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)| -c_lesse_quals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.25/159.36  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_RealVector_Onorm__class_Onorm(V_x,T_a).
% 159.25/159.36  0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 159.25/159.36  0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a).
% 159.25/159.36  0 [] v_cs____!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).
% 159.25/159.36  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a)!=V_a|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a)=V_a| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)=V_a.
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 159.25/159.37  0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_x,V_y,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a)=V_b.
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|V_a=c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a)!=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)|V_c=V_d|V_r=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)=V_x.
% 159.25/159.37  0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Oinverse__class_Oinverse(V_b,T_a)|V_a=V_b.
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Ocomm__monoid__mult(T_a)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oab__semigroup__mult(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a)=c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oidom(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_b,V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_x,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)=c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Oabs__class_Oabs(V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)|V_y=V_z.
% 159.25/159.37  0 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 159.25/159.37  0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 159.25/159.37  0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_b,V_a,T_a)!=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)|V_b=V_c.
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)|c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)=V_u.
% 159.25/159.37  0 [] -class_Ring__and__Field_Olordered__ring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b2,T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b2,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b1,T_a),T_a),T_a),T_a)| -c_lesse_quals(V_b,V_b2,T_a)| -c_lesse_quals(V_b1,V_b,T_a)| -c_lesse_quals(V_a,V_a2,T_a)| -c_lesse_quals(V_a1,V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_x,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)=c_HOL_Oabs__class_Oabs(V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Olordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b2,T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b2,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_b,V_b2,T_a)| -c_lesse_quals(V_b1,V_b,T_a)| -c_lesse_quals(V_a,V_a2,T_a)| -c_lesse_quals(V_a1,V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_y,V_x,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_b,V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)=V_b.
% 159.25/159.37  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)|V_c=V_d|V_a=V_b.
% 159.25/159.37  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)|V_y=V_z|V_w=V_x.
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_a,V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_b=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)=V_b|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=V_y.
% 159.25/159.37  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=V_b.
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)=c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)!=c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)=c_HOL_Otimes__class_Otimes(V_w,V_y,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)!=c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)=c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a)!=V_a|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a)=V_a| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,V_a,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Omult__mono(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Omult__mono(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Omult__mono1(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=V_a| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_lesse_quals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_b,V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_lesse_quals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_b,V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.25/159.37  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(V_x,T_a)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.25/159.37  0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.37  0 [] c_lesse_quals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.37  0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(V_a,V_p,T_a),V_c,T_a)=c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a).
% 159.25/159.37  0 [] c_lesse_quals(V_d,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| -c_lesse_quals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(V_a,V_d,V_p),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal)|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.37  0 [] -class_RealVector_Oreal__normed__vector(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.37  0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(V_p,V_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal).
% 159.25/159.37  0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal).
% 159.25/159.37  0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.37  0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__Xhyps__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.37  0 [] v_thesis____|c_lesse_quals(V_r,c_RealVector_Onorm__class_Onorm(v_sko__local__Xthat__1(v_c____,v_cs____,V_r),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.37  0 [] v_thesis____| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_sko__local__Xthat__1(v_c____,v_cs____,V_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.37  0 [] c_lesse_quals(V_w,V_z,tc_RealDef_Oreal)|c_lesse_quals(V_z,V_w,tc_RealDef_Oreal).
% 159.25/159.37  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 159.25/159.37  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 159.25/159.37  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 159.25/159.37  0 [] c_lesse_quals(V_w,V_w,tc_RealDef_Oreal).
% 159.25/159.37  0 [] c_lesse_quals(V_i,V_k,tc_RealDef_Oreal)| -c_lesse_quals(V_j,V_k,tc_RealDef_Oreal)| -c_lesse_quals(V_i,V_j,tc_RealDef_Oreal).
% 159.25/159.37  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 159.25/159.37  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 159.25/159.37  0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_Polynomial_OpCons(V_b,V_q,T_a)|V_a=V_b.
% 159.25/159.37  0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_Polynomial_OpCons(V_b,V_q,T_a)|V_p=V_q.
% 159.25/159.37  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 159.25/159.37  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 159.25/159.37  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 159.25/159.37  0 [] V_z=V_w| -c_lesse_quals(V_w,V_z,tc_RealDef_Oreal)| -c_lesse_quals(V_z,V_w,tc_RealDef_Oreal).
% 159.25/159.37  0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| -c_lesse_quals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.37  0 [] -v_thesis____.
% 159.25/159.37  0 [] v_thesis____|c_lesse_quals(V_xa,c_RealVector_Onorm__class_Onorm(v_x(V_xa),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.37  0 [] v_thesis____| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__semiring(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__semigroup__mult(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__mono1(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__mono(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 159.25/159.37  0 [] class_Ring__and__Field_Osemiring(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 159.25/159.37  0 [] class_Nat_Osemiring__char__0(tc_nat).
% 159.25/159.37  0 [] class_Orderings_Opreorder(tc_nat).
% 159.25/159.37  0 [] class_Orderings_Olinorder(tc_nat).
% 159.25/159.37  0 [] class_Orderings_Oorder(tc_nat).
% 159.25/159.37  0 [] class_Power_Opower(tc_nat).
% 159.25/159.37  0 [] class_HOL_Ozero(tc_nat).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Nat_Osemiring__char__0(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Power_Opower(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_HOL_Ozero(tc_RealDef_Oreal).
% 159.25/159.37  0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Nat_Osemiring__char__0(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_Power_Opower(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_HOL_Ozero(tc_Complex_Ocomplex).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Oab__group__add(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 159.25/159.37  0 [] class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Oab__group__add(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring(T_1).
% 159.25/159.37  0 [] class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 159.25/159.37  0 [] class_Nat_Osemiring__char__0(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 159.25/159.37  0 [] class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 159.25/159.37  0 [] class_Power_Opower(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 159.25/159.37  0 [] class_HOL_Ozero(tc_Polynomial_Opoly(T_1))| -class_HOL_Ozero(T_1).
% 159.25/159.37  end_of_list.
% 159.25/159.37  
% 159.25/159.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 159.25/159.37  
% 159.25/159.37  This ia a non-Horn set with equality.  The strategy will be
% 159.25/159.37  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 159.25/159.37  deletion, with positive clauses in sos and nonpositive
% 159.25/159.37  clauses in usable.
% 159.25/159.37  
% 159.25/159.37     dependent: set(knuth_bendix).
% 159.25/159.37     dependent: set(anl_eq).
% 159.25/159.37     dependent: set(para_from).
% 159.25/159.37     dependent: set(para_into).
% 159.25/159.37     dependent: clear(para_from_right).
% 159.25/159.37     dependent: clear(para_into_right).
% 159.25/159.37     dependent: set(para_from_vars).
% 159.25/159.37     dependent: set(eq_units_both_ways).
% 159.25/159.37     dependent: set(dynamic_demod_all).
% 159.25/159.37     dependent: set(dynamic_demod).
% 159.25/159.37     dependent: set(order_eq).
% 159.25/159.37     dependent: set(back_demod).
% 159.25/159.37     dependent: set(lrpo).
% 159.25/159.37     dependent: set(hyper_res).
% 159.25/159.37     dependent: set(unit_deletion).
% 159.25/159.37     dependent: set(factor).
% 159.25/159.37  
% 159.25/159.37  ------------> process usable:
% 159.25/159.37  ** KEPT (pick-wt=15): 1 [] c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.25/159.37  ** KEPT (pick-wt=15): 2 [] c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal)|A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.25/159.37  ** KEPT (pick-wt=17): 3 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal).
% 159.25/159.37  ** KEPT (pick-wt=18): 4 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),A).
% 159.25/159.37  ** KEPT (pick-wt=20): 5 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),A).
% 159.25/159.37  ** KEPT (pick-wt=10): 6 [] -class_Nat_Osemiring__char__0(A)|c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(B,tc_nat),A)!=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.37  ** KEPT (pick-wt=13): 8 [copy,7,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 159.25/159.37  ** KEPT (pick-wt=13): 10 [copy,9,flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 159.25/159.37  ** KEPT (pick-wt=13): 12 [copy,11,flip.2] -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 159.25/159.37    Following clause subsumed by 8 during input processing: 0 [flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 159.25/159.37  ** KEPT (pick-wt=13): 13 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oplus__class_Oplus(B,C,A).
% 159.25/159.37  ** KEPT (pick-wt=11): 14 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ouminus__class_Ouminus(B,A).
% 159.25/159.37  ** KEPT (pick-wt=29): 15 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A)|D=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A).
% 159.25/159.37  ** KEPT (pick-wt=29): 16 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A)=F.
% 159.25/159.37  ** KEPT (pick-wt=26): 18 [copy,17,flip.2] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A),E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A).
% 159.25/159.37    Following clause subsumed by 18 during input processing: 0 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A),E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A).
% 159.25/159.37  ** KEPT (pick-wt=41): 20 [copy,19,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),E,A),A),c_HOL_Otimes__class_Otimes(C,c_HOL_Ominus__class_Ominus(D,E,A),A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 159.25/159.37  ** KEPT (pick-wt=14): 21 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.37  ** KEPT (pick-wt=14): 22 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,C,A).
% 159.25/159.37  ** KEPT (pick-wt=17): 24 [copy,23,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.25/159.37  ** KEPT (pick-wt=16): 25 [] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|A=C.
% 159.25/159.37  ** KEPT (pick-wt=16): 26 [] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal)|A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|B=C.
% 159.25/159.37  ** KEPT (pick-wt=15): 27 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,B,A),A).
% 159.25/159.37  ** KEPT (pick-wt=20): 29 [copy,28,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 159.25/159.37  ** KEPT (pick-wt=20): 31 [copy,30,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 159.25/159.37  ** KEPT (pick-wt=11): 32 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A)=B.
% 159.25/159.37  ** KEPT (pick-wt=14): 33 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 159.25/159.37  ** KEPT (pick-wt=14): 34 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 159.25/159.37  ** KEPT (pick-wt=20): 35 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 159.25/159.37    Following clause subsumed by 35 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 159.25/159.37  ** KEPT (pick-wt=20): 36 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.37    Following clause subsumed by 36 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.37  ** KEPT (pick-wt=23): 38 [copy,37,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 159.25/159.37  ** KEPT (pick-wt=11): 39 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=B.
% 159.25/159.37  ** KEPT (pick-wt=13): 40 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(C,B,A).
% 159.25/159.37  ** KEPT (pick-wt=9): 41 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.37  ** KEPT (pick-wt=9): 42 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.37  ** KEPT (pick-wt=9): 43 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 159.25/159.37    Following clause subsumed by 42 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.37  ** KEPT (pick-wt=11): 44 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.37  ** KEPT (pick-wt=12): 45 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 159.25/159.37  ** KEPT (pick-wt=12): 46 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 159.25/159.37  ** KEPT (pick-wt=14): 47 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 159.25/159.37  ** KEPT (pick-wt=19): 48 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 159.25/159.37  ** KEPT (pick-wt=19): 49 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 159.25/159.37  ** KEPT (pick-wt=15): 50 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(C,B,A),A).
% 159.25/159.37  ** KEPT (pick-wt=31): 51 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A),A)| -c_lesse_quals(D,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A),A).
% 159.25/159.37  ** KEPT (pick-wt=31): 52 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(C,D,A),E,A),F,A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,E,A),B,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,E,A),F,A),A).
% 159.25/159.37  ** KEPT (pick-wt=31): 53 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),F,A).
% 159.25/159.37  ** KEPT (pick-wt=31): 54 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A),E,A),F,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),E,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,A),F,A),A).
% 159.25/159.37  ** KEPT (pick-wt=37): 55 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(C,E,A),A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.37  ** KEPT (pick-wt=38): 57 [copy,56,flip.2] -class_RealVector_Oreal__field(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(C,D,A),E,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,F,A),E,A),D,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(F,D,A),A),E,A).
% 159.25/159.37  ** KEPT (pick-wt=11): 58 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(B,tc_nat),A),A).
% 159.25/159.37  ** KEPT (pick-wt=18): 59 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A).
% 159.25/159.37  ** KEPT (pick-wt=30): 60 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,D,A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,E,A),A),A),A).
% 159.25/159.37  ** KEPT (pick-wt=33): 62 [copy,61,flip.2] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ominus__class_Ominus(C,B,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.37  ** KEPT (pick-wt=18): 63 [] -class_RealVector_Oreal__normed__algebra(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.38  ** KEPT (pick-wt=14): 65 [copy,64,flip.2] -class_OrderedGroup_Olordered__ab__group__add__abs(A)|c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 159.25/159.38  ** KEPT (pick-wt=10): 66 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=9): 68 [copy,67,flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=14): 69 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=12): 70 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 68 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=9): 71 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=12): 72 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=12): 74 [copy,73,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=9): 75 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.25/159.38  ** KEPT (pick-wt=9): 76 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.25/159.38    Following clause subsumed by 75 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.25/159.38    Following clause subsumed by 75 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.25/159.38    Following clause subsumed by 75 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.25/159.38  ** KEPT (pick-wt=20): 78 [copy,77,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=20): 80 [copy,79,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=19): 81 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=23): 82 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oinverse__class_Odivide(C,D,A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=23): 83 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)=c_HOL_Oinverse__class_Odivide(B,D,A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=16): 84 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=C|B=c_HOL_Ouminus__class_Ouminus(D,A).
% 159.25/159.38  ** KEPT (pick-wt=19): 85 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 87 [copy,86,flip.3] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(B,A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 88 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(B,C,A),A)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=11): 89 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=11): 90 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=11): 91 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 89 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=26): 93 [copy,92,flip.2] -class_Ring__and__Field_Osemiring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A),E,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,A),E,A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 95 [copy,94,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=17): 96 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 159.25/159.38  ** KEPT (pick-wt=18): 97 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 98 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 99 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 100 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 159.25/159.38    Following clause subsumed by 98 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 101 [] -class_OrderedGroup_Oab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 102 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 159.25/159.38    Following clause subsumed by 98 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 103 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 104 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=11): 105 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 159.25/159.38    Following clause subsumed by 105 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 159.25/159.38  ** KEPT (pick-wt=11): 106 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(B,A),A)=B.
% 159.25/159.38  ** KEPT (pick-wt=25): 107 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 159.25/159.38    Following clause subsumed by 107 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=19): 108 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=18): 109 [] -class_Ring__and__Field_Olordered__ring(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A).
% 159.25/159.38  ** KEPT (pick-wt=12): 110 [] -class_Nat_Osemiring__char__0(A)|c_Nat_Osemiring__1__class_Oof__nat(B,A)!=c_Nat_Osemiring__1__class_Oof__nat(C,A)|B=C.
% 159.25/159.38  ** KEPT (pick-wt=19): 111 [] -class_Ring__and__Field_Oidom(A)|c_HOL_Otimes__class_Otimes(B,B,A)!=c_HOL_Otimes__class_Otimes(C,C,A)|B=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 159.25/159.38  ** KEPT (pick-wt=23): 112 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 159.25/159.38  ** KEPT (pick-wt=23): 113 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(D,E,A),A),A).
% 159.25/159.38  ** KEPT (pick-wt=23): 114 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(D,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),E,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 115 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 115 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=18): 116 [] -class_OrderedGroup_Olordered__ab__group__add__abs(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,c_HOL_Oabs__class_Oabs(D,A),A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=41): 118 [copy,117,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,C,A),D,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A),D,A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=22): 119 [] -class_RealVector_Oreal__normed__vector(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(B,A),c_HOL_Otimes__class_Otimes(C,c_RealVector_Onorm__class_Onorm(D,A),tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.38  ** KEPT (pick-wt=13): 120 [] -class_Ring__and__Field_Oordered__field(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Oinverse(c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(B,tc_nat),A),A),A).
% 159.25/159.38  ** KEPT (pick-wt=35): 122 [copy,121,flip.2] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=10): 123 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=10): 124 [] -class_Ring__and__Field_Omult__zero(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=10): 125 [] -class_Ring__and__Field_Omult__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=10): 126 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=10): 127 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 127 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=10): 128 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 128 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=10): 129 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 126 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=13): 130 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(B,A),A)=B|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 74 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=11): 131 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=B|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=9): 132 [] -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 132 during input processing: 0 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=20): 133 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Oinverse__class_Oinverse(C,A)|B=C|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=9): 134 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=13): 135 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=19): 136 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=12): 137 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=17): 138 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=17): 139 [] -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 139 during input processing: 0 [] -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=13): 140 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(B,B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=14): 142 [copy,141,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=9): 143 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=11): 144 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=9): 145 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=12): 146 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Ouminus__class_Ouminus(B,A)|c_HOL_Ozero__class_Ozero(A)=B.
% 159.25/159.38  ** KEPT (pick-wt=10): 147 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 74 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38    Following clause subsumed by 74 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=10): 148 [] -class_RealVector_Oreal__normed__field(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=9): 149 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 159.25/159.38  ** KEPT (pick-wt=9): 150 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 159.25/159.38  ** KEPT (pick-wt=9): 151 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 159.25/159.38  ** KEPT (pick-wt=11): 153 [copy,152,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 159.25/159.38  ** KEPT (pick-wt=9): 154 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 159.25/159.38  ** KEPT (pick-wt=9): 155 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 159.25/159.38  ** KEPT (pick-wt=9): 156 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 159.25/159.38    Following clause subsumed by 154 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 159.25/159.38  ** KEPT (pick-wt=20): 158 [copy,157,flip.2] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=12): 159 [] -class_Ring__and__Field_Oordered__idom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(B,A),C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=16): 160 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=16): 161 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=27): 162 [] -class_Ring__and__Field_Opordered__ring__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=27): 163 [] -class_Ring__and__Field_Opordered__ring__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=27): 164 [] -class_Ring__and__Field_Opordered__ring__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.38  ** KEPT (pick-wt=27): 165 [] -class_Ring__and__Field_Opordered__ring__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.38  ** KEPT (pick-wt=20): 166 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=16): 167 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A),A).
% 159.25/159.38  ** KEPT (pick-wt=11): 168 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(B,A),A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 169 [] -class_Ring__and__Field_Oordered__ring__strict(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,C,A),c_HOL_Otimes__class_Otimes(B,B,A),A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 170 [] -class_Ring__and__Field_Oordered__ring__strict(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=14): 172 [copy,171,flip.2] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Ouminus__class_Ouminus(B,A)=c_HOL_Oabs__class_Oabs(B,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=30): 173 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=30): 174 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(D,C,A),B,A)| -c_lesse_quals(B,c_HOL_Otimes__class_Otimes(D,C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 175 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(E,D,A)| -c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,E,A),A).
% 159.25/159.38  ** KEPT (pick-wt=8): 176 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(B,c_HOL_Oabs__class_Oabs(B,A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 177 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(B,D,A).
% 159.25/159.38  ** KEPT (pick-wt=16): 178 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_lesse_quals(B,D,A).
% 159.25/159.38  ** KEPT (pick-wt=16): 179 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=16): 180 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_lesse_quals(C,D,A).
% 159.25/159.38  ** KEPT (pick-wt=16): 181 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(D,B,A),c_HOL_Oplus__class_Oplus(D,C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=16): 182 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_lesse_quals(B,D,A).
% 159.25/159.38  ** KEPT (pick-wt=16): 183 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_lesse_quals(C,D,A).
% 159.25/159.38  ** KEPT (pick-wt=14): 184 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.25/159.38  ** KEPT (pick-wt=14): 185 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,B,A).
% 159.25/159.38  ** KEPT (pick-wt=12): 186 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=14): 187 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 159.25/159.38    Following clause subsumed by 187 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 159.25/159.38  ** KEPT (pick-wt=14): 188 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.25/159.38    Following clause subsumed by 188 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.25/159.38  ** KEPT (pick-wt=11): 189 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_RealVector_Onorm__class_Onorm(B,A).
% 159.25/159.38  ** KEPT (pick-wt=15): 190 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|C=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 159.25/159.38  ** KEPT (pick-wt=20): 191 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Opoly(c_Polynomial_OpCons(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(D,c_Polynomial_Opoly(C,D,A),A),A).
% 159.25/159.38  ** KEPT (pick-wt=5): 193 [copy,192,flip.1] c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))!=v_cs____.
% 159.25/159.38  ** KEPT (pick-wt=9): 194 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oabs__class_Oabs(B,A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 195 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 196 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 197 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=12): 198 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A)!=B|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=12): 199 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A)=B| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=22): 200 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=22): 201 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.38  ** KEPT (pick-wt=9): 202 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=22): 203 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=22): 204 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=22): 205 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=22): 206 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=13): 207 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A)!=c_HOL_Ozero__class_Ozero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=13): 208 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A)=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=13): 209 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.38  ** KEPT (pick-wt=13): 210 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),B,A).
% 159.25/159.38  ** KEPT (pick-wt=13): 211 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(B,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=13): 212 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.25/159.38  ** KEPT (pick-wt=13): 213 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.38  ** KEPT (pick-wt=13): 214 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),B,A).
% 159.25/159.38  ** KEPT (pick-wt=13): 215 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(B,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.38  ** KEPT (pick-wt=13): 216 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 217 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 159.25/159.38    Following clause subsumed by 217 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 159.25/159.38  ** KEPT (pick-wt=12): 218 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 159.25/159.38  ** KEPT (pick-wt=12): 219 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 159.25/159.38  ** KEPT (pick-wt=22): 220 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 221 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=25): 222 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 223 [] -class_Ring__and__Field_Oring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=15): 224 [] -class_Ring__and__Field_Oring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=14): 225 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,C,A).
% 159.25/159.38  ** KEPT (pick-wt=14): 226 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=13): 227 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A)=C.
% 159.25/159.38  ** KEPT (pick-wt=15): 228 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(C,B,A).
% 159.25/159.38  ** KEPT (pick-wt=12): 230 [copy,229,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A)=B.
% 159.25/159.38  ** KEPT (pick-wt=26): 231 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A)!=c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,E,A),A)|D=E|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=19): 232 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=19): 233 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=8): 234 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,B,A)=B.
% 159.25/159.38  ** KEPT (pick-wt=14): 235 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Oinverse__class_Oinverse(C,A)|B=C.
% 159.25/159.38  ** KEPT (pick-wt=20): 236 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 237 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 238 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(B,C,A),A)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=15): 240 [copy,239,flip.3] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(B,A),A)=c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 241 [] -class_OrderedGroup_Oab__semigroup__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 242 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=17): 243 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.38    Following clause subsumed by 243 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 244 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(B,D,A),A).
% 159.25/159.38    Following clause subsumed by 243 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 245 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 246 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 159.25/159.38    Following clause subsumed by 246 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 247 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.38    Following clause subsumed by 247 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 248 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=20): 249 [] -class_Ring__and__Field_Ocomm__semiring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.25/159.38  ** KEPT (pick-wt=17): 250 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 251 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.25/159.38    Following clause subsumed by 245 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 253 [copy,252,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.25/159.38    Following clause subsumed by 253 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.25/159.38  ** KEPT (pick-wt=15): 255 [copy,254,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.25/159.38    Following clause subsumed by 255 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.25/159.38  ** KEPT (pick-wt=15): 256 [] -class_Ring__and__Field_Oidom(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Otimes__class_Otimes(B,B,A).
% 159.25/159.38  ** KEPT (pick-wt=15): 257 [] -class_Ring__and__Field_Oring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Otimes__class_Otimes(B,C,A).
% 159.25/159.38  ** KEPT (pick-wt=13): 258 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A).
% 159.25/159.38  ** KEPT (pick-wt=33): 260 [copy,259,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oinverse__class_Oinverse(B,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=33): 262 [copy,261,flip.2] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.38  ** KEPT (pick-wt=26): 263 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(D,C,A),A),C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=26): 264 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(C,c_HOL_Otimes__class_Otimes(B,D,A),A),D,A)|D=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=23): 265 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 159.25/159.39  ** KEPT (pick-wt=19): 266 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=11): 267 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(B,A),A)=c_Nat_Osemiring__1__class_Oof__nat(B,A).
% 159.25/159.39  ** KEPT (pick-wt=18): 268 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(B,C,A).
% 159.25/159.39    Following clause subsumed by 268 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(B,C,A).
% 159.25/159.39  ** KEPT (pick-wt=11): 269 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 159.25/159.39  ** KEPT (pick-wt=16): 270 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 159.25/159.39  ** KEPT (pick-wt=14): 271 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 159.25/159.39  ** KEPT (pick-wt=14): 272 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 159.25/159.39  ** KEPT (pick-wt=14): 273 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 159.25/159.39  ** KEPT (pick-wt=19): 274 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=25): 275 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(C,A),c_HOL_Oinverse__class_Oinverse(B,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=17): 277 [copy,276,flip.2] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(B,A),A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=21): 278 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=20): 279 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=c_HOL_Oplus__class_Oplus(C,E,A)|c_HOL_Oplus__class_Oplus(B,D,A)=E.
% 159.25/159.39  ** KEPT (pick-wt=62): 280 [] -class_Ring__and__Field_Olordered__ring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(D,A),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(E,A),A),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(F,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(E,A),A),A),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(D,A),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(G,A),A),A),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(F,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(G,A),A),A),A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(G,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(F,B,A).
% 159.25/159.39  ** KEPT (pick-wt=13): 282 [copy,281,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),A)=c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=11): 283 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 159.25/159.39  ** KEPT (pick-wt=62): 284 [] -class_Ring__and__Field_Olordered__ring(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(C,A),A),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(D,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(C,A),A),A),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(E,A),A),A),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(D,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(E,A),A),A),c_HOL_Otimes__class_Otimes(F,G,A),A)| -c_lesse_quals(G,C,A)| -c_lesse_quals(E,G,A)| -c_lesse_quals(F,D,A)| -c_lesse_quals(B,F,A).
% 159.25/159.39  ** KEPT (pick-wt=11): 285 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 159.25/159.39    Following clause subsumed by 285 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 159.25/159.39  ** KEPT (pick-wt=11): 286 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 159.25/159.39  ** KEPT (pick-wt=17): 287 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,C,A),B,A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=10): 288 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oabs__class_Oabs(B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=15): 290 [copy,289,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=14): 291 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Ouminus__class_Ouminus(B,A)=C.
% 159.25/159.39  ** KEPT (pick-wt=14): 292 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ouminus__class_Ouminus(C,A).
% 159.25/159.39  ** KEPT (pick-wt=31): 293 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 159.25/159.39    Following clause subsumed by 293 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 159.25/159.39  ** KEPT (pick-wt=15): 294 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Otimes__class_Otimes(B,B,A).
% 159.25/159.39  ** KEPT (pick-wt=19): 295 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(B,C,A),A)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),C,A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=17): 297 [copy,296,flip.2] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(B,A),A)=c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(B,A),A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=37): 298 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(C,E,A),A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=17): 300 [copy,299,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39    Following clause subsumed by 300 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=17): 301 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(B,C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=13): 302 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(C,B,A),A)=C.
% 159.25/159.39  ** KEPT (pick-wt=13): 303 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A)=C.
% 159.25/159.39  ** KEPT (pick-wt=12): 304 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,A)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 159.25/159.39  ** KEPT (pick-wt=15): 305 [] -class_Ring__and__Field_Oring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=13): 307 [copy,306,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 159.25/159.39    Following clause subsumed by 307 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 159.25/159.39  ** KEPT (pick-wt=24): 308 [] -class_Ring__and__Field_Ofield(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=21): 309 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=19): 310 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=28): 311 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,C,A)!=c_HOL_Oinverse__class_Odivide(D,E,A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|c_HOL_Otimes__class_Otimes(B,E,A)=c_HOL_Otimes__class_Otimes(D,C,A).
% 159.25/159.39  ** KEPT (pick-wt=28): 312 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Otimes__class_Otimes(D,E,A)|C=c_HOL_Ozero__class_Ozero(A)|E=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(B,E,A)=c_HOL_Oinverse__class_Odivide(D,C,A).
% 159.25/159.39    Following clause subsumed by 290 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=17): 313 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=17): 314 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=15): 315 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=15): 316 [] -class_Ring__and__Field_Oordered__idom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=15): 317 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=15): 318 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=16): 319 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Oinverse(B,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=16): 320 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Oinverse(B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 321 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=12): 322 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A)!=B|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=12): 323 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A)=B| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=14): 324 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Ouminus__class_Ouminus(B,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=14): 325 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=10): 326 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 327 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 159.25/159.39    Following clause subsumed by 327 during input processing: 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 328 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39    Following clause subsumed by 327 during input processing: 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39    Following clause subsumed by 328 during input processing: 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=20): 329 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 330 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=9): 331 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=30): 332 [] -class_Ring__and__Field_Opordered__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(B,D,A).
% 159.25/159.39  ** KEPT (pick-wt=30): 333 [] -class_Ring__and__Field_Opordered__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(B,D,A).
% 159.25/159.39  ** KEPT (pick-wt=20): 334 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 335 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 336 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 337 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 338 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=20): 339 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 340 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=10): 341 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 342 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39    Following clause subsumed by 342 during input processing: 0 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 343 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=23): 344 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(D,B,A).
% 159.25/159.39  ** KEPT (pick-wt=23): 345 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,D,A).
% 159.25/159.39  ** KEPT (pick-wt=21): 346 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(D,B,A).
% 159.25/159.39  ** KEPT (pick-wt=21): 347 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(D,C,A).
% 159.25/159.39  ** KEPT (pick-wt=21): 348 [] -class_Ring__and__Field_Omult__mono(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,D,A).
% 159.25/159.39  ** KEPT (pick-wt=21): 349 [] -class_Ring__and__Field_Omult__mono(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(C,D,A).
% 159.25/159.39  ** KEPT (pick-wt=21): 350 [] -class_Ring__and__Field_Omult__mono1(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(C,D,A).
% 159.25/159.39  ** KEPT (pick-wt=20): 351 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 352 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 353 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=20): 354 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=14): 355 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=14): 356 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=12): 357 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(B,A)=B| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=13): 358 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=13): 359 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A)!=c_HOL_Ozero__class_Ozero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=13): 360 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A)=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=23): 361 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=23): 362 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=22): 363 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=22): 364 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.25/159.39  ** KEPT (pick-wt=20): 365 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A).
% 159.25/159.39  ** KEPT (pick-wt=20): 366 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 159.25/159.39  ** KEPT (pick-wt=17): 368 [copy,367,factor_simp] -class_OrderedGroup_Opordered__comm__monoid__add(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=22): 369 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(C,B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=22): 370 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=22): 371 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(C,B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=22): 372 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A).
% 159.25/159.39  ** KEPT (pick-wt=21): 373 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(B,D,A).
% 159.25/159.39  ** KEPT (pick-wt=19): 374 [] -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_Power_Opower__class_Opower(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=16): 375 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=16): 376 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.25/159.39  ** KEPT (pick-wt=9): 377 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 159.25/159.39    Following clause subsumed by 377 during input processing: 0 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 159.25/159.39  ** KEPT (pick-wt=9): 378 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=12): 379 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(B,A)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=14): 380 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|B=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=13): 381 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 159.25/159.39  ** KEPT (pick-wt=9): 382 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(B,A),tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=11): 383 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=11): 384 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.25/159.39  ** KEPT (pick-wt=20): 385 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(B,C,A),D,A)=c_Polynomial_OpCons(c_Polynomial_Opoly(C,D,A),c_Polynomial_Osynthetic__div(C,D,A),A).
% 159.25/159.39  ** KEPT (pick-wt=26): 386 [] c_lesse_quals(A,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(B,C,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| -c_lesse_quals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(B,A,C),c_RealVector_Onorm__class_Onorm(D,tc_Complex_Ocomplex),tc_RealDef_Oreal)|C=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).
% 159.25/159.39  ** KEPT (pick-wt=10): 387 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=13): 388 [] -class_RealVector_Oreal__normed__vector(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(B,A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=22): 389 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(A,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(A,B),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(C,tc_Complex_Ocomplex),B,tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=17): 390 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(A,C),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(B,tc_Complex_Ocomplex),C,tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=25): 391 [] v_thesis____| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_sko__local__Xthat__1(v_c____,v_cs____,A),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=10): 392 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 159.25/159.39  ** KEPT (pick-wt=14): 393 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 159.25/159.39  ** KEPT (pick-wt=14): 394 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 159.25/159.39  ** KEPT (pick-wt=12): 395 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(C,B,tc_RealDef_Oreal)| -c_lesse_quals(A,C,tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=6): 396 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 159.25/159.39  ** KEPT (pick-wt=6): 397 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 159.25/159.39  ** KEPT (pick-wt=14): 398 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_Polynomial_OpCons(D,E,A)|B=D.
% 159.25/159.39  ** KEPT (pick-wt=14): 399 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_Polynomial_OpCons(D,E,A)|C=E.
% 159.25/159.39  ** KEPT (pick-wt=13): 400 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 159.25/159.39    Following clause subsumed by 400 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 159.25/159.39    Following clause subsumed by 400 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 159.25/159.39  ** KEPT (pick-wt=11): 401 [] A=B| -c_lesse_quals(B,A,tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=29): 402 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| -c_lesse_quals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=1): 403 [] -v_thesis____.
% 159.25/159.39  ** KEPT (pick-wt=22): 405 [copy,404,unit_del,403] -c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(A),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.25/159.39  ** KEPT (pick-wt=5): 406 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 407 [] class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 408 [] class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 409 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 410 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 411 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 412 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 413 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 414 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 415 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 416 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 159.25/159.39  ** KEPT (pick-wt=5): 417 [] class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 418 [] class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 419 [] class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 420 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 421 [] class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 422 [] class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 423 [] class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 424 [] class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 425 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 426 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 427 [] class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 428 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 429 [] class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 430 [] class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 431 [] class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 432 [] class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 433 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 434 [] class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 435 [] class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 436 [] class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Oab__group__add(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 437 [] class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 438 [] class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 439 [] class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 440 [] class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 441 [] class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 442 [] class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Oab__group__add(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 443 [] class_Ring__and__Field_Oring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 444 [] class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 445 [] class_Nat_Osemiring__char__0(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 446 [] class_Orderings_Opreorder(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 447 [] class_Orderings_Olinorder(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 448 [] class_Orderings_Oorder(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 449 [] class_Int_Onumber__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 450 [] class_Power_Opower(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 159.36/159.41  ** KEPT (pick-wt=5): 451 [] class_HOL_Ozero(tc_Polynomial_Opoly(A))| -class_HOL_Ozero(A).
% 159.36/159.41  70 back subsumes 69.
% 159.36/159.41  217 back subsumes 115.
% 159.36/159.41  243 back subsumes 113.
% 159.36/159.41  244 back subsumes 114.
% 159.36/159.41  377 back subsumes 58.
% 159.36/159.41  505 back subsumes 501.
% 159.36/159.41  509 back subsumes 503.
% 159.36/159.41  
% 159.36/159.41  ------------> process sos:
% 159.36/159.41  ** KEPT (pick-wt=3): 554 [] A=A.
% 159.36/159.41  ** KEPT (pick-wt=12): 555 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=15): 556 [] c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.36/159.41  ---> New Demodulator: 557 [new_demod,556] c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=9): 558 [] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=6): 560 [copy,559,flip.1] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)).
% 159.36/159.41  ---> New Demodulator: 561 [new_demod,560] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)).
% 159.36/159.41  ** KEPT (pick-wt=10): 562 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=7): 563 [] c_lesse_quals(c_Complex_ORe(A),c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=15): 564 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=15): 565 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__Xhyps__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=9): 567 [copy,566,unit_del,403] c_lesse_quals(A,c_RealVector_Onorm__class_Onorm(v_sko__local__Xthat__1(v_c____,v_cs____,A),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=8): 568 [] c_lesse_quals(A,B,tc_RealDef_Oreal)|c_lesse_quals(B,A,tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=4): 569 [] c_lesse_quals(A,A,tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=7): 571 [copy,570,unit_del,403] c_lesse_quals(A,c_RealVector_Onorm__class_Onorm(v_x(A),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 572 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 573 [] class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 574 [] class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 575 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 576 [] class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 577 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 578 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 579 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 580 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 581 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 582 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 583 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 584 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 585 [] class_Ring__and__Field_Opordered__semiring(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 586 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 587 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 588 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 589 [] class_Ring__and__Field_Ocomm__semiring__0(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 590 [] class_OrderedGroup_Oab__semigroup__mult(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 591 [] class_OrderedGroup_Ocomm__monoid__mult(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 592 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 593 [] class_Ring__and__Field_Ocomm__semiring(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 594 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 595 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 596 [] class_Ring__and__Field_Omult__mono1(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 597 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 598 [] class_Ring__and__Field_Omult__mono(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 599 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 600 [] class_Ring__and__Field_Osemiring(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 601 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 602 [] class_Nat_Osemiring__char__0(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 603 [] class_Orderings_Opreorder(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 604 [] class_Orderings_Olinorder(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 605 [] class_Orderings_Oorder(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 606 [] class_Power_Opower(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 607 [] class_HOL_Ozero(tc_nat).
% 159.36/159.41  ** KEPT (pick-wt=2): 608 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 609 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 610 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 611 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 612 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 613 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 614 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 615 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 616 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 617 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 618 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 619 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 620 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 621 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 622 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 623 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 624 [] class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 625 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 626 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 627 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 628 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 629 [] class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 630 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 631 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 632 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 633 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 634 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 635 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 636 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 637 [] class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 638 [] class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 639 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 640 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 641 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 642 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 643 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 644 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 645 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 646 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 647 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 648 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 649 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 650 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 651 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 652 [] class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 653 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 654 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 655 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 656 [] class_Nat_Osemiring__char__0(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 657 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 658 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 659 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 660 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 661 [] class_Power_Opower(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 662 [] class_HOL_Ozero(tc_RealDef_Oreal).
% 159.36/159.41  ** KEPT (pick-wt=2): 663 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 664 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 665 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 666 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 667 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 668 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 669 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 670 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 671 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 672 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 673 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 674 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 675 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 676 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 677 [] class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 678 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 679 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 159.36/159.41  ** KEPT (pick-wt=2): 680 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 681 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 682 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 683 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 684 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 685 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 686 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 687 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 688 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 689 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 690 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 691 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 692 [] class_Nat_Osemiring__char__0(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 693 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 694 [] class_Power_Opower(tc_Complex_Ocomplex).
% 160.38/160.47  ** KEPT (pick-wt=2): 695 [] class_HOL_Ozero(tc_Complex_Ocomplex).
% 160.38/160.47    Following clause subsumed by 554 during input processing: 0 [copy,554,flip.1] A=A.
% 160.38/160.47  554 back subsumes 534.
% 160.38/160.47  554 back subsumes 533.
% 160.38/160.47  554 back subsumes 460.
% 160.38/160.47  554 back subsumes 459.
% 160.38/160.47  554 back subsumes 458.
% 160.38/160.47  >>>> Starting back demodulation with 557.
% 160.38/160.47    Following clause subsumed by 558 during input processing: 0 [copy,558,flip.1] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 160.38/160.47  >>>> Starting back demodulation with 561.
% 160.38/160.47      >> back demodulating 453 with 561.
% 160.38/160.47      >> back demodulating 452 with 561.
% 160.38/160.47      >> back demodulating 388 with 561.
% 160.38/160.47      >> back demodulating 387 with 561.
% 160.38/160.47      >> back demodulating 382 with 561.
% 160.38/160.47      >> back demodulating 379 with 561.
% 160.38/160.47      >> back demodulating 378 with 561.
% 160.38/160.47      >> back demodulating 119 with 561.
% 160.38/160.47      >> back demodulating 26 with 561.
% 160.38/160.47      >> back demodulating 25 with 561.
% 160.38/160.47      >> back demodulating 2 with 561.
% 160.38/160.47      >> back demodulating 1 with 561.
% 160.38/160.47  
% 160.38/160.47  ======= end of input processing =======
% 160.38/160.47  
% 160.38/160.47  =========== start of search ===========
% 160.38/160.47  
% 160.38/160.47  
% 160.38/160.47  Resetting weight limit to 2.
% 160.38/160.47  
% 160.38/160.47  
% 160.38/160.47  Resetting weight limit to 2.
% 160.38/160.47  
% 160.38/160.47  sos_size=148
% 160.38/160.47  
% 160.38/160.47  Search stopped because sos empty.
% 160.38/160.47  
% 160.38/160.47  
% 160.38/160.47  Search stopped because sos empty.
% 160.38/160.47  
% 160.38/160.47  ============ end of search ============
% 160.38/160.47  
% 160.38/160.47  -------------- statistics -------------
% 160.38/160.47  clauses given                149
% 160.38/160.47  clauses generated          69787
% 160.38/160.47  clauses kept                 662
% 160.38/160.47  clauses forward subsumed     130
% 160.38/160.47  clauses back subsumed         12
% 160.38/160.47  Kbytes malloced             9765
% 160.38/160.47  
% 160.38/160.47  ----------- times (seconds) -----------
% 160.38/160.47  user CPU time          1.13          (0 hr, 0 min, 1 sec)
% 160.38/160.47  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 160.38/160.47  wall-clock time      160             (0 hr, 2 min, 40 sec)
% 160.38/160.47  
% 160.38/160.47  Process 17285 finished Wed Jul 27 03:53:34 2022
% 160.38/160.47  Otter interrupted
% 160.38/160.47  PROOF NOT FOUND
%------------------------------------------------------------------------------