TSTP Solution File: SWV883-1 by Otter---3.3

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV883-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n027.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 13:21:43 EDT 2022

% Result   : Unknown 276.45s 276.51s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV883-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 06:07:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 275.02/275.15  ----- Otter 3.3f, August 2004 -----
% 275.02/275.15  The process was started by sandbox2 on n027.cluster.edu,
% 275.02/275.15  Wed Jul 27 06:07:36 2022
% 275.02/275.15  The command was "./otter".  The process ID is 5727.
% 275.02/275.15  
% 275.02/275.15  set(prolog_style_variables).
% 275.02/275.15  set(auto).
% 275.02/275.15     dependent: set(auto1).
% 275.02/275.15     dependent: set(process_input).
% 275.02/275.15     dependent: clear(print_kept).
% 275.02/275.15     dependent: clear(print_new_demod).
% 275.02/275.15     dependent: clear(print_back_demod).
% 275.02/275.15     dependent: clear(print_back_sub).
% 275.02/275.15     dependent: set(control_memory).
% 275.02/275.15     dependent: assign(max_mem, 12000).
% 275.02/275.15     dependent: assign(pick_given_ratio, 4).
% 275.02/275.15     dependent: assign(stats_level, 1).
% 275.02/275.15     dependent: assign(max_seconds, 10800).
% 275.02/275.15  clear(print_given).
% 275.02/275.15  
% 275.02/275.15  list(usable).
% 275.02/275.15  0 [] A=A.
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat)=c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 275.02/275.15  0 [] c_Suc(V_n)=c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 275.02/275.15  0 [] c_Suc(V_n)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 275.02/275.15  0 [] c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 275.02/275.15  0 [] c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat).
% 275.02/275.15  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,T_b),V_A,T_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_z,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)=c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat)!=c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  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).
% 275.02/275.15  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.
% 275.02/275.15  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).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)!=V_m|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] V_x!=c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)|V_a=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  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).
% 275.02/275.15  0 [] c_HOL_Oone__class_Oone(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.15  0 [] hAPP(hAPP(V_times,hAPP(hAPP(V_times,V_a),V_b)),V_c)=hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 275.02/275.15  0 [] hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c))=hAPP(hAPP(V_times,V_b),hAPP(hAPP(V_times,V_a),V_c))| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 275.02/275.15  0 [] hAPP(hAPP(V_times,V_a),V_b)=hAPP(hAPP(V_times,V_b),V_a)| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 275.02/275.15  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)|V_n=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.15  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Oone__class_Oone(T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(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).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)=c_HOL_Ozero__class_Ozero(T_a)|c_Finite__Set_Ofinite(V_A,T_b).
% 275.02/275.15  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_b)|c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)=c_HOL_Ozero__class_Ozero(T_b)|c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)=c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat))|V_m=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_Finite__Set_Osetsum(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 275.02/275.15  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_nat).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(V_n,V_n,tc_nat).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 275.02/275.15  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -c_lesse_quals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)|V_m=V_n.
% 275.02/275.15  0 [] hBOOL(hAPP(hAPP(V_P,V_n),V_m))|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)|V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)|V_x=V_y.
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 275.02/275.15  0 [] c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=V_n| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.15  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.
% 275.02/275.15  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Oone__class_Oone(T_a).
% 275.02/275.15  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)|V_n=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.15  0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat).
% 275.02/275.15  0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(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).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat)!=c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)|V_y=V_z.
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat)!=c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)|V_m=V_n.
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)!=c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)|V_m=V_n.
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.15  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).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  0 [] V_x=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)=V_n.
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=V_m.
% 275.02/275.15  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).
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(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_Oord__class_Oless(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat).
% 275.02/275.15  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 275.02/275.15  0 [] -c_in(V_c,V_B,T_a)| -c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.15  0 [] c_in(V_c,V_A,T_a)| -c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.15  0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 275.02/275.15  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 275.02/275.15  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -c_in(V_xa,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 275.02/275.15  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a).
% 275.02/275.15  0 [] c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 275.02/275.15  0 [] c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 275.02/275.15  0 [] c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)| -c_in(hAPP(V_f,V_a),V_B,T_b).
% 275.02/275.15  0 [] c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b)| -c_in(hAPP(V_f,V_a),V_A,T_a).
% 275.02/275.15  0 [] c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b)| -c_in(hAPP(V_f,V_a),V_B,T_a).
% 275.02/275.15  0 [] c_in(hAPP(V_f,V_a),V_B,T_b)| -c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a).
% 275.02/275.15  0 [] c_in(hAPP(V_f,V_a),V_A,T_b)| -c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a)|V_a=V_b.
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -c_lesse_quals(V_a,V_b,T_a).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_lesse_quals(V_b,V_a,T_a)|V_a=V_b.
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -c_lesse_quals(V_b,V_a,T_a).
% 275.02/275.15  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).
% 275.02/275.15  0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 275.02/275.15  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_X,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,T_a),T_a)| -c_lesse_quals(V_X,hAPP(V_f,V_X),T_a).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 275.02/275.15  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).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|c_lesse_quals(V_x,V_x,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 275.02/275.15  0 [] V_n=c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(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_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)| -c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  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).
% 275.02/275.15  0 [] hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))| -c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)| -hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] hBOOL(hAPP(V_A,hAPP(V_f,V_x)))| -hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)).
% 275.02/275.15  0 [] hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))| -hBOOL(hAPP(V_A,hAPP(V_f,V_x))).
% 275.02/275.15  0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a)=c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat)=V_m|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 275.02/275.15  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_b)|c_Finite__Set_Osetsum(V_f,c_Set_Oinsert(V_a,V_F,T_a),T_a,T_b)=c_HOL_Oplus__class_Oplus(hAPP(V_f,V_a),c_Finite__Set_Osetsum(V_f,V_F,T_a,T_b),T_b)|c_in(V_a,V_F,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)|c_in(V_x,V_B,T_a)| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_B,T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b),T_b)| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(V_A,T_a),tc_nat)| -c_Finite__Set_Ofinite(V_A,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_x,V_B,T_a).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a)| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a)| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_in(V_a,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_a,tc_bool)),T_a)| -c_lesse_quals(V_X,hAPP(V_f,V_X),tc_fun(T_a,tc_bool))| -c_in(V_a,V_X,T_a).
% 275.02/275.15  0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)=c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)|c_in(V_a,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.15  0 [] hBOOL(hAPP(V_P,V_F))| -c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(V_A,V_P,T_a),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a),T_a)| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_B,T_a).
% 275.02/275.15  0 [] -c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 275.02/275.15  0 [] c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)|c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 275.02/275.15  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.15  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.15  0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,V_A,T_a).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 275.02/275.15  0 [] hBOOL(hAPP(V_P,V_F))| -hBOOL(hAPP(V_P,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(V_A,V_P,T_a),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a),T_a)))| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a).
% 275.02/275.15  0 [] c_Finite__Set_Ofinite(V_A,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_b,T_a)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 275.02/275.15  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] -c_lesse_quals(V_x,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_Suc(V_m),V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)| -c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 275.02/275.15  0 [] V_n=V_m| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_Finite__Set_Ocard(V_A,T_a)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.15  0 [] c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=V_n.
% 275.02/275.15  0 [] c_lesse_quals(V_m,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_k,tc_nat),tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat)| -c_lesse_quals(V_c,V_a,tc_nat)| -c_HOL_Oord__class_Oless(V_a,V_b,tc_nat).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)| -c_lesse_quals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)| -c_lesse_quals(V_k,V_j,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)| -c_lesse_quals(V_k,V_j,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)| -c_lesse_quals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat).
% 275.02/275.15  0 [] -class_Orderings_Opreorder(T_a)| -c_lesse_quals(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_in(V_c,V_A,T_b).
% 275.02/275.15  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_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a).
% 275.02/275.15  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_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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.
% 275.02/275.15  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).
% 275.02/275.15  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).
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  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.
% 275.02/275.15  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.15  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.15  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.15  0 [] c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 275.02/275.15  0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat).
% 275.02/275.15  0 [] c_Suc(V_m)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] c_Suc(V_nat_H)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] V_n=V_m| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 275.02/275.15  0 [] V_m=V_n| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 275.02/275.15  0 [] V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat).
% 275.02/275.15  0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_m).
% 275.02/275.15  0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_nat_H).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat)=c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat)=c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)).
% 275.02/275.15  0 [] c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat)=c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)|c_Suc(V_m)=V_n| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 275.02/275.15  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 275.02/275.15  0 [] -class_HOL_Oord(T_b)|c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))|c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 275.02/275.15  0 [] -class_HOL_Oord(T_b)| -c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 275.02/275.15  0 [] V_A=V_B|c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))|V_A=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b).
% 275.02/275.15  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.15  0 [] c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_C,T_a,T_b).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat)| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.15  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(V_A,T_a),tc_nat).
% 275.02/275.15  0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)|V_m=V_n| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)|V_m=V_n| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)| -c_lesse_quals(V_i,V_j,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_x,V_y,tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat).
% 275.02/275.15  0 [] V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)| -c_lesse_quals(V_k,V_l,tc_nat)| -c_lesse_quals(V_i,V_j,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)| -c_lesse_quals(V_i,V_j,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)| -c_lesse_quals(V_i,V_j,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)| -c_lesse_quals(V_x,V_z,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)| -c_lesse_quals(V_x,V_y,tc_nat).
% 275.02/275.15  0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=V_n| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=V_n.
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_j,V_k,tc_nat).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=V_m.
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.15  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 275.02/275.15  0 [] -hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_b,V_x,tc_nat),V_b,tc_nat)))|hBOOL(hAPP(V_P,V_x)).
% 275.02/275.15  0 [] -hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_b,V_d,tc_nat),V_b,tc_nat)))|hBOOL(hAPP(V_P,V_d)).
% 275.02/275.15  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat)=c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat)=V_m.
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat)=V_m.
% 275.02/275.16  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_b)|c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)=c_HOL_Oplus__class_Oplus(hAPP(V_f,V_a),c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b)| -c_in(V_a,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat)=c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)| -c_lesse_quals(V_k,V_j,tc_nat).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)| -c_lesse_quals(V_k,V_j,tc_nat).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)| -c_lesse_quals(V_k,V_j,tc_nat).
% 275.02/275.16  0 [] -c_lesse_quals(V_i,c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),V_i,tc_nat)=V_k.
% 275.02/275.16  0 [] -c_lesse_quals(V_i,V_j,tc_nat)|V_j=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat).
% 275.02/275.16  0 [] c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat)=V_m| -c_lesse_quals(V_n,V_m,tc_nat).
% 275.02/275.16  0 [] c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)=V_m| -c_lesse_quals(V_n,V_m,tc_nat).
% 275.02/275.16  0 [] c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat)| -c_lesse_quals(V_k,V_j,tc_nat).
% 275.02/275.16  0 [] c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat)| -c_lesse_quals(V_k,V_j,tc_nat).
% 275.02/275.16  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 275.02/275.16  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Finite__Set_Ocard(V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 275.02/275.16  0 [] -class_OrderedGroup_Oab__group__add(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b)| -c_in(V_a,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] -class_Ring__and__Field_Oring(T_b)|c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b)| -c_in(V_a,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_in(V_a,V_B,T_a)| -c_in(V_a,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] v_wt(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom))| -c_in(V_pn,v_U,tc_Com_Opname).
% 275.02/275.16  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] -class_Orderings_Olinorder(T_a)|c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] -class_Orderings_Olinorder(T_a)|c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=V_A|c_in(V_x,V_A,T_a).
% 275.02/275.16  0 [] c_Set_Oinsert(V_x,V_xa,T_b)!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))|c_in(V_x,V_xa,T_b)| -c_OrderedGroup_Oab__semigroup__mult(V_times,T_a).
% 275.02/275.16  0 [] c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa).
% 275.02/275.16  0 [] hAPP(V_f,V_a)=V_b| -c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),T_a).
% 275.02/275.16  0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -c_in(V_a,V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)|c_in(V_x,V_B,T_a)| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)|c_in(V_x,V_B,T_a).
% 275.02/275.16  0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(hAPP(V_f,V_n),hAPP(V_f,V_n_H),T_a)| -c_lesse_quals(V_n,V_n_H,tc_nat)| -c_lesse_quals(hAPP(V_f,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(V_f,T_a)),hAPP(V_f,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(V_f,T_a))),T_a).
% 275.02/275.16  0 [] hBOOL(hAPP(V_P,V_F))|hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a)))| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a).
% 275.02/275.16  0 [] hBOOL(hAPP(V_P,V_F))|c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(V_A,V_P,T_a),T_a)| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))|c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))| -c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a)),V_B,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))|c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a),V_A,T_b).
% 275.02/275.16  0 [] c_in(hAPP(V_g,V_a),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_b,tc_bool)),T_b)| -c_lesse_quals(c_Set_Oimage(V_g,V_X,T_a,T_b),hAPP(V_f,c_Set_Oimage(V_g,V_X,T_a,T_b)),tc_fun(T_b,tc_bool))| -c_in(V_a,V_X,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b).
% 275.02/275.16  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(V_A,T_a),c_HOL_Oone__class_Oone(tc_nat),tc_nat)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 275.02/275.16  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] V_B=c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.16  0 [] c_Set_Oimage(V_f,V_A,T_a,T_a)=V_A| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool))| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(V_A,T_a)!=c_HOL_Ozero__class_Ozero(tc_nat)| -c_Finite__Set_Ofinite(V_A,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] -class_Ring__and__Field_Oring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a)=c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)| -c_lesse_quals(V_n,V_m,tc_nat).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)!=c_Finite__Set_Ocard(V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)|c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Finite__Set_Ocard(V_A,T_a)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_m,tc_nat)=c_HOL_Ominus__class_Ominus(c_Suc(V_j),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),tc_nat)| -c_lesse_quals(V_k,V_j,tc_nat).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(V_m,c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_Suc(V_j),tc_nat)| -c_lesse_quals(V_k,V_j,tc_nat).
% 275.02/275.16  0 [] hBOOL(hAPP(hAPP(v_P,V_G),c_Set_Oinsert(hAPP(v_mgt__call,V_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))| -hBOOL(hAPP(hAPP(v_P,c_Set_Oinsert(hAPP(v_mgt__call,V_pn),V_G,t_a)),c_Set_Oinsert(v_mgt(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))).
% 275.02/275.16  0 [] hBOOL(hAPP(V_P,V_F))|c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(V_A,V_P,T_a),V_A,T_a)| -hBOOL(hAPP(V_P,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_F,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_F,T_a).
% 275.02/275.16  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| -c_in(V_x,V_A,T_a).
% 275.02/275.16  0 [] c_in(V_x,V_xa,T_a)|c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_xa,T_a),T_a)=c_Suc(c_Finite__Set_Ocard(V_xa,T_a))|c_Finite__Set_Ocard(V_xa,T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(V_A,T_a)=c_Finite__Set_Ocard(V_B,T_b)| -c_Finite__Set_Ofinite(V_B,T_b)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(c_Set_Oimage(V_g,V_B,T_b,T_a),V_A,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_g,V_B,T_b,T_a)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat)| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Finite__Set_Ocard(V_A,T_a)|c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_b),tc_nat)| -c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 275.02/275.16  0 [] c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a))=c_Finite__Set_Ocard(V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] hBOOL(hAPP(hAPP(v_P,V_G),c_Set_Oinsert(v_mgt(V_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))| -hBOOL(hAPP(hAPP(v_P,V_G),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(V_G,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))| -v_wt(V_c).
% 275.02/275.16  0 [] hBOOL(hAPP(hAPP(v_P,V_G),c_Set_Oinsert(v_mgt(V_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))|c_in(v_sko__local__Xassms__3__1(V_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)| -v_wt(V_c).
% 275.02/275.16  0 [] c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_n,V_n,tc_nat).
% 275.02/275.16  0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_i,V_k,tc_nat)| -c_lesse_quals(V_j,V_k,tc_nat)| -c_lesse_quals(V_i,V_j,tc_nat).
% 275.02/275.16  0 [] c_lesse_quals(V_x,V_x,tc_nat).
% 275.02/275.16  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a).
% 275.02/275.16  0 [] c_in(V_t,V_B,T_a)| -c_in(V_t,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 275.02/275.16  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 275.02/275.16  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.16  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a).
% 275.02/275.16  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a).
% 275.02/275.16  0 [] c_Set_Oimage(V_f,V_A,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 275.02/275.16  0 [] c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 275.02/275.16  0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.16  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).
% 275.02/275.16  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).
% 275.02/275.16  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat).
% 275.02/275.16  0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat).
% 275.02/275.16  0 [] c_lesse_quals(V_n,V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.16  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 275.02/275.16  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).
% 275.02/275.16  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).
% 275.02/275.16  0 [] V_n!=c_Suc(V_n).
% 275.02/275.16  0 [] c_Suc(V_n)!=V_n.
% 275.02/275.16  0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a).
% 275.02/275.16  0 [] -c_lesse_quals(c_Suc(V_n),V_n,tc_nat).
% 275.02/275.16  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 275.02/275.16  0 [] c_lesse_quals(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.16  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 275.02/275.16  0 [] c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)=c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a).
% 275.02/275.16  0 [] -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.16  0 [] hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.16  0 [] -c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.16  0 [] -c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.16  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Finite__Set_Ocard(V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_b=V_d.
% 275.02/275.16  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_b=V_d.
% 275.02/275.16  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_a=V_c.
% 275.02/275.16  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_a=V_c.
% 275.02/275.16  0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 275.02/275.16  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).
% 275.02/275.16  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).
% 275.02/275.16  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).
% 275.02/275.16  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] V_m=V_n| -c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.16  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_in(V_a,V_A,T_a)|V_a=V_b| -c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a).
% 275.02/275.16  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 275.02/275.16  0 [] V_A=V_B| -c_lesse_quals(c_Finite__Set_Ocard(V_B,T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat)=c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat).
% 275.02/275.16  0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 275.02/275.16  0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 275.02/275.16  0 [] c_lesse_quals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a),tc_nat)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 275.02/275.16  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat)=c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))| -c_lesse_quals(V_n,V_m,tc_nat).
% 275.02/275.16  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 275.02/275.16  0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Set_Oinsert(V_x,V_A,T_a).
% 275.02/275.16  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oimage(V_f,V_A,T_b,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_in(hAPP(V_f,V_x),V_B,T_a)| -c_in(V_x,V_A,T_b)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] V_b=V_a| -c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 275.02/275.16  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 275.02/275.16  0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a).
% 275.02/275.16  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a).
% 275.02/275.16  0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a)=c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 275.02/275.16  0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)).
% 275.02/275.16  0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Suc(c_Finite__Set_Ocard(V_A,T_a))|c_in(V_x,V_A,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|c_Finite__Set_Ocard(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 275.02/275.16  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.16  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.16  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 275.02/275.16  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 275.02/275.16  0 [] c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 275.02/275.16  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.
% 275.02/275.16  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.
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat)!=c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat)|V_m=V_n.
% 275.02/275.16  0 [] c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat).
% 275.02/275.16  0 [] c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)!=c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_a=V_b.
% 275.02/275.16  0 [] -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat).
% 275.02/275.16  0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_in(V_x,V_xa,T_a).
% 275.02/275.16  0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] -c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 275.02/275.16  0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 275.02/275.16  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 275.02/275.16  0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -c_in(V_x,V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 275.02/275.16  0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|c_in(V_x,V_B,T_a)|c_in(V_x,V_A,T_a)|V_A=V_B.
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat).
% 275.02/275.16  0 [] hBOOL(hAPP(hAPP(v_P,V_G),V_ts))| -c_lesse_quals(V_ts,V_G,tc_fun(t_a,tc_bool)).
% 275.02/275.16  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_n),tc_nat).
% 275.02/275.16  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 275.02/275.16  0 [] c_lesse_quals(c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b),c_Finite__Set_Ocard(V_A,T_a),tc_nat)| -c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 275.02/275.16  0 [] c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat)=V_i| -c_lesse_quals(V_i,V_n,tc_nat).
% 275.02/275.16  0 [] V_m=c_Suc(V_n)|c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(V_m,c_Suc(V_n),tc_nat).
% 275.02/275.16  0 [] -c_in(V_x,V_A,T_aa)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a).
% 275.02/275.16  0 [] -c_in(V_x,V_A,T_b)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 275.02/275.16  0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)| -c_in(V_x,V_A,T_b).
% 275.02/275.16  0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_x,V_A,T_a).
% 275.02/275.16  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 275.02/275.16  0 [] c_Finite__Set_Ofinite(v_U,tc_Com_Opname).
% 275.02/275.16  0 [] c_lesse_quals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)).
% 275.02/275.16  0 [] c_lesse_quals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(v_G,t_a)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat).
% 275.02/275.16  0 [] c_in(v_pn,v_U,tc_Com_Opname).
% 275.02/275.16  0 [] -c_in(hAPP(v_mgt__call,v_pn),v_G,t_a).
% 275.02/275.16  0 [] -hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))).
% 275.02/275.16  0 [] c_Finite__Set_Ocard(V_G,t_a)!=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat)| -c_lesse_quals(V_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))|hBOOL(hAPP(hAPP(v_P,V_G),c_Set_Oinsert(v_mgt(V_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))| -v_wt(V_c).
% 275.02/275.16  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 275.02/275.16  0 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 275.02/275.16  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 275.02/275.16  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 275.02/275.16  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 275.02/275.16  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 275.02/275.16  0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 275.02/275.16  0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 275.02/275.16  0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 275.02/275.16  0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 275.02/275.16  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 275.02/275.16  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 275.02/275.16  0 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 275.02/275.16  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 275.02/275.16  0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 275.02/275.16  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 275.02/275.16  0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 275.02/275.16  0 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 275.02/275.16  0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 275.02/275.16  0 [] class_Nat_Osemiring__char__0(tc_nat).
% 275.02/275.16  0 [] class_Orderings_Opreorder(tc_nat).
% 275.02/275.16  0 [] class_Orderings_Olinorder(tc_nat).
% 275.02/275.16  0 [] class_Orderings_Oorder(tc_nat).
% 275.02/275.16  0 [] class_Orderings_Obot(tc_nat).
% 275.02/275.16  0 [] class_HOL_Oord(tc_nat).
% 275.02/275.16  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 275.02/275.16  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 275.02/275.16  0 [] class_Orderings_Opreorder(tc_bool).
% 275.02/275.16  0 [] class_Orderings_Oorder(tc_bool).
% 275.02/275.16  0 [] class_Orderings_Obot(tc_bool).
% 275.02/275.16  0 [] class_HOL_Oord(tc_bool).
% 275.02/275.16  0 [] c_fe_qual(V_x,V_x,T_a).
% 275.02/275.16  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 275.02/275.16  end_of_list.
% 275.02/275.16  
% 275.02/275.16  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 275.02/275.16  
% 275.02/275.16  This ia a non-Horn set with equality.  The strategy will be
% 275.02/275.16  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 275.02/275.16  deletion, with positive clauses in sos and nonpositive
% 275.02/275.16  clauses in usable.
% 275.02/275.16  
% 275.02/275.16     dependent: set(knuth_bendix).
% 275.02/275.16     dependent: set(anl_eq).
% 275.02/275.16     dependent: set(para_from).
% 275.02/275.16     dependent: set(para_into).
% 275.02/275.16     dependent: clear(para_from_right).
% 275.02/275.16     dependent: clear(para_into_right).
% 275.02/275.16     dependent: set(para_from_vars).
% 275.02/275.16     dependent: set(eq_units_both_ways).
% 275.02/275.16     dependent: set(dynamic_demod_all).
% 275.02/275.16     dependent: set(dynamic_demod).
% 275.02/275.16     dependent: set(order_eq).
% 275.02/275.16     dependent: set(back_demod).
% 275.02/275.16     dependent: set(lrpo).
% 275.02/275.16     dependent: set(hyper_res).
% 275.02/275.16     dependent: set(unit_deletion).
% 275.02/275.16     dependent: set(factor).
% 275.02/275.16  
% 275.02/275.16  ------------> process usable:
% 275.02/275.16  ** KEPT (pick-wt=17): 1 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=17): 2 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=17): 3 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=17): 4 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=17): 6 [copy,5,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).
% 275.02/275.16  ** KEPT (pick-wt=14): 7 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 275.02/275.16  ** KEPT (pick-wt=18): 8 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)).
% 275.02/275.16  ** KEPT (pick-wt=14): 9 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 275.02/275.16  ** KEPT (pick-wt=20): 10 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=17): 12 [copy,11,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).
% 275.02/275.16  ** KEPT (pick-wt=11): 13 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=15): 14 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=15): 15 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=10): 16 [] A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=20): 17 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 275.02/275.16  ** KEPT (pick-wt=15): 18 [] c_Fun_Oinj__on(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)| -c_Fun_Oinj__on(A,B,D,E).
% 275.02/275.16  ** KEPT (pick-wt=14): 19 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(A),A,B),C,B,A)=c_HOL_Ozero__class_Ozero(A).
% 275.02/275.16  ** KEPT (pick-wt=20): 20 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=20): 21 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=11): 22 [] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=11): 23 [] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=11): 24 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat).
% 275.02/275.16    Following clause subsumed by 22 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.16    Following clause subsumed by 23 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=11): 25 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 275.02/275.16  ** KEPT (pick-wt=11): 26 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 275.02/275.16  ** KEPT (pick-wt=17): 27 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(C,D,tc_nat)| -c_HOL_Oord__class_Oless(C,B,tc_nat)|c_HOL_Oord__class_Oless(A,D,tc_nat).
% 275.02/275.16    Following clause subsumed by 25 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).
% 275.02/275.16  ** KEPT (pick-wt=12): 28 [] -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.
% 275.02/275.16  ** KEPT (pick-wt=14): 30 [copy,29,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).
% 275.02/275.16  ** KEPT (pick-wt=10): 31 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.16    Following clause subsumed by 31 during input processing: 0 [flip.1] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=23): 32 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=23): 33 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=11): 34 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=11): 35 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=13): 36 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=22): 37 [] hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_OrderedGroup_Oab__semigroup__mult(A,E).
% 275.02/275.16  ** KEPT (pick-wt=22): 38 [] hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))=hAPP(hAPP(A,C),hAPP(hAPP(A,B),D))| -c_OrderedGroup_Oab__semigroup__mult(A,E).
% 275.02/275.16  ** KEPT (pick-wt=14): 39 [] hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_OrderedGroup_Oab__semigroup__mult(A,D).
% 275.02/275.16  ** KEPT (pick-wt=15): 40 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=15): 41 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=15): 42 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=15): 43 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=18): 44 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(A,B,tc_nat)|B=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|A=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.16  ** KEPT (pick-wt=16): 45 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(A,B,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=8): 46 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=7): 48 [copy,47,flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 275.02/275.16  ** KEPT (pick-wt=20): 49 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=20): 50 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=13): 51 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,C,D,A)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(C,D).
% 275.02/275.16    Following clause subsumed by 51 during input processing: 0 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,C,D,A)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(C,D).
% 275.02/275.16  ** KEPT (pick-wt=8): 52 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oone__class_Oone(A),A).
% 275.02/275.16  ** KEPT (pick-wt=13): 53 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A)=c_HOL_Ozero__class_Ozero(A).
% 275.02/275.16  ** KEPT (pick-wt=6): 54 [] -c_HOL_Oord__class_Oless(A,A,tc_fun(B,tc_bool)).
% 275.02/275.16  ** KEPT (pick-wt=4): 55 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 275.02/275.16    Following clause subsumed by 55 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=6): 56 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 275.02/275.16  ** KEPT (pick-wt=6): 57 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 275.02/275.16  ** KEPT (pick-wt=6): 58 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 275.02/275.16  ** KEPT (pick-wt=20): 59 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 275.02/275.16  ** KEPT (pick-wt=8): 60 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_lesse_quals(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=13): 61 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 275.02/275.16  ** KEPT (pick-wt=13): 62 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 275.02/275.16    Following clause subsumed by 62 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 275.02/275.16    Following clause subsumed by 62 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 275.02/275.16    Following clause subsumed by 62 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 275.02/275.16  ** KEPT (pick-wt=13): 63 [] c_Suc(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 275.02/275.16    Following clause subsumed by 6 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).
% 275.02/275.16  ** KEPT (pick-wt=17): 64 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=17): 65 [] -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).
% 275.02/275.16    Following clause subsumed by 6 during input processing: 0 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=18): 66 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=5): 67 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.16    Following clause subsumed by 67 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=20): 68 [] -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.
% 275.02/275.16  ** KEPT (pick-wt=20): 69 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 275.02/275.16  ** KEPT (pick-wt=9): 70 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 275.02/275.16    Following clause subsumed by 48 during input processing: 0 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 275.02/275.16  ** KEPT (pick-wt=17): 71 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(A,B,tc_nat)|B=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=17): 72 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(A,B,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.16  ** KEPT (pick-wt=14): 73 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_Suc(B),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 275.02/275.16  ** KEPT (pick-wt=9): 74 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Ozero__class_Ozero(A).
% 275.02/275.16  ** KEPT (pick-wt=20): 75 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=20): 76 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 275.02/275.16  ** KEPT (pick-wt=20): 77 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 275.02/275.16  ** KEPT (pick-wt=12): 78 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 275.02/275.16  ** KEPT (pick-wt=12): 79 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(C,B,tc_nat)|A=C.
% 275.02/275.16    Following clause subsumed by 78 during input processing: 0 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 275.02/275.16  ** KEPT (pick-wt=16): 80 [] -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.
% 275.02/275.16  ** KEPT (pick-wt=14): 81 [] -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.
% 275.02/275.16  ** KEPT (pick-wt=14): 82 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 275.02/275.16  ** KEPT (pick-wt=14): 83 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 275.02/275.16  ** KEPT (pick-wt=17): 84 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|B=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=17): 85 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|A=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.16  ** KEPT (pick-wt=23): 86 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=9): 87 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.16  ** KEPT (pick-wt=12): 88 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(A),c_HOL_Oone__class_Oone(A),A),A).
% 275.02/275.16  ** KEPT (pick-wt=9): 89 [] -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).
% 275.02/275.16    Following clause subsumed by 89 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).
% 275.02/275.16  ** KEPT (pick-wt=9): 90 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 275.02/275.16  ** KEPT (pick-wt=9): 91 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 275.02/275.16  ** KEPT (pick-wt=11): 93 [copy,92,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.
% 275.02/275.16  ** KEPT (pick-wt=9): 94 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 275.02/275.16  ** KEPT (pick-wt=9): 95 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 275.02/275.16  ** KEPT (pick-wt=9): 96 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 275.02/275.16  ** KEPT (pick-wt=9): 97 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 275.02/275.16    Following clause subsumed by 90 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.
% 275.02/275.16  ** KEPT (pick-wt=20): 98 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(B,D,A).
% 275.02/275.16  ** KEPT (pick-wt=20): 99 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_lesse_quals(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 275.02/275.16    Following clause subsumed by 23 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 275.02/275.16    Following clause subsumed by 22 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=15): 100 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A).
% 275.02/275.16  ** KEPT (pick-wt=15): 101 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 275.02/275.16  ** KEPT (pick-wt=13): 102 [] -c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C).
% 275.02/275.16  ** KEPT (pick-wt=13): 103 [] c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C).
% 275.02/275.16  ** KEPT (pick-wt=14): 104 [] c_in(A,B,C)| -c_in(A,D,C)| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool)).
% 275.02/275.16  ** KEPT (pick-wt=23): 105 [] hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)|B=C| -c_Fun_Oinj__on(A,D,E,F).
% 275.02/275.16    Following clause subsumed by 105 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 275.02/275.16    Following clause subsumed by 105 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 275.02/275.16    Following clause subsumed by 105 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -c_in(C,D,E)| -c_in(B,D,E).
% 275.02/275.16  ** KEPT (pick-wt=17): 106 [] c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D).
% 275.02/275.16    Following clause subsumed by 106 during input processing: 0 [] c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D).
% 275.02/275.16  ** KEPT (pick-wt=14): 107 [] c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E).
% 275.02/275.16    Following clause subsumed by 107 during input processing: 0 [] c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E).
% 275.02/275.16    Following clause subsumed by 107 during input processing: 0 [] c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E).
% 275.02/275.16  ** KEPT (pick-wt=14): 108 [] c_in(hAPP(A,B),C,D)| -c_in(B,c_Set_Ovimage(A,C,E,D),E).
% 275.02/275.16    Following clause subsumed by 108 during input processing: 0 [] c_in(hAPP(A,B),C,D)| -c_in(B,c_Set_Ovimage(A,C,E,D),E).
% 275.02/275.16  ** KEPT (pick-wt=13): 109 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 275.02/275.16    Following clause subsumed by 109 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 275.02/275.16  ** KEPT (pick-wt=13): 110 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 275.02/275.16    Following clause subsumed by 110 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 275.02/275.16    Following clause subsumed by 110 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 275.02/275.16    Following clause subsumed by 110 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 275.02/275.16  ** KEPT (pick-wt=13): 111 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 275.02/275.16    Following clause subsumed by 111 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 275.02/275.16  ** KEPT (pick-wt=20): 112 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=14): 113 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 275.02/275.16  ** KEPT (pick-wt=14): 114 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_lesse_quals(B,D,A).
% 275.02/275.16  ** KEPT (pick-wt=14): 115 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(D,C,A).
% 275.02/275.16  ** KEPT (pick-wt=14): 116 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 275.02/275.16  ** KEPT (pick-wt=14): 117 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Inductive_Ocomplete__lattice__class_Ogfp(C,A),A)| -c_lesse_quals(B,hAPP(C,B),A).
% 275.02/275.16  ** KEPT (pick-wt=16): 118 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=16): 119 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=16): 120 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=16): 121 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=16): 122 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=16): 123 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=10): 124 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 275.02/275.16  ** KEPT (pick-wt=10): 125 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 275.02/275.16  ** KEPT (pick-wt=14): 126 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 275.02/275.16  ** KEPT (pick-wt=20): 127 [] -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).
% 275.02/275.16  ** KEPT (pick-wt=10): 128 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 275.02/275.16    Following clause subsumed by 57 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 275.02/275.16    Following clause subsumed by 128 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 275.02/275.16  ** KEPT (pick-wt=10): 129 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 275.02/275.16    Following clause subsumed by 128 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 275.02/275.16    Following clause subsumed by 129 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 275.02/275.16    Following clause subsumed by 128 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 275.02/275.16    Following clause subsumed by 63 during input processing: 0 [flip.1] c_Suc(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 275.02/275.16  ** KEPT (pick-wt=20): 130 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 275.02/275.16  ** KEPT (pick-wt=18): 131 [] c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(C,D,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(B,D,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 132 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 275.02/275.17  ** KEPT (pick-wt=14): 133 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 275.02/275.17  ** KEPT (pick-wt=14): 134 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 135 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A).
% 275.02/275.17  ** KEPT (pick-wt=8): 136 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oone__class_Oone(A),A).
% 275.02/275.17  ** KEPT (pick-wt=10): 137 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(A),A),A).
% 275.02/275.17  ** KEPT (pick-wt=14): 138 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 139 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 275.02/275.17    Following clause subsumed by 55 during input processing: 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=18): 140 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 275.02/275.17  ** KEPT (pick-wt=15): 141 [] -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).
% 275.02/275.17  ** KEPT (pick-wt=15): 142 [] -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).
% 275.02/275.17  ** KEPT (pick-wt=7): 143 [] -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,B,tc_nat),A,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=7): 144 [] -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,B,tc_nat),B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 145 [] c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -c_HOL_Oord__class_Oless(A,c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 146 [] c_HOL_Oord__class_Oless(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=16): 147 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 275.02/275.17  ** KEPT (pick-wt=16): 148 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 275.02/275.17  ** KEPT (pick-wt=16): 149 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,D,A),A).
% 275.02/275.17  ** KEPT (pick-wt=16): 150 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 275.02/275.17  ** KEPT (pick-wt=16): 151 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 275.02/275.17  ** KEPT (pick-wt=16): 152 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(D,B,A),c_HOL_Oplus__class_Oplus(D,C,A),A).
% 275.02/275.17  ** KEPT (pick-wt=14): 153 [] c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 154 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(C,A,tc_nat),c_HOL_Oplus__class_Oplus(C,B,tc_nat),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 155 [] c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=20): 156 [] -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).
% 275.02/275.17  ** KEPT (pick-wt=16): 157 [] hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat)))| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat))).
% 275.02/275.17  ** KEPT (pick-wt=12): 158 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(B,A,tc_nat),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=12): 159 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(B,A,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 160 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 275.02/275.17  ** KEPT (pick-wt=14): 161 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 275.02/275.17  ** KEPT (pick-wt=17): 162 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(B,C,tc_nat),A)=c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A).
% 275.02/275.17  ** KEPT (pick-wt=17): 163 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=18): 164 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|B=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|A=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 275.02/275.17  ** KEPT (pick-wt=16): 165 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=10): 166 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 275.02/275.17  ** KEPT (pick-wt=10): 167 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 275.02/275.17  ** KEPT (pick-wt=10): 168 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 275.02/275.17    Following clause subsumed by 168 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 275.02/275.17  ** KEPT (pick-wt=28): 169 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,c_Set_Oinsert(C,D,E),E,A)=c_HOL_Oplus__class_Oplus(hAPP(B,C),c_Finite__Set_Osetsum(B,D,E,A),A)|c_in(C,D,E)| -c_Finite__Set_Ofinite(D,E).
% 275.02/275.17  ** KEPT (pick-wt=34): 170 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_in(B,A,C)|c_in(B,D,C)| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=34): 171 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|c_in(B,C,D).
% 275.02/275.17  ** KEPT (pick-wt=36): 172 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=34): 173 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,D,tc_fun(E,tc_bool)),E,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,E,A),c_Finite__Set_Osetsum(B,D,E,A),A)| -c_lesse_quals(D,C,tc_fun(E,tc_bool))| -c_Finite__Set_Ofinite(C,E).
% 275.02/275.17  ** KEPT (pick-wt=38): 174 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=16): 175 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(A,B),tc_nat)| -c_Finite__Set_Ofinite(A,B)|A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=23): 176 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(A,C),c_Finite__Set_Ocard(B,C),tc_nat)| -c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.17  ** KEPT (pick-wt=14): 177 [] -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).
% 275.02/275.17  ** KEPT (pick-wt=14): 178 [] -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).
% 275.02/275.17  ** KEPT (pick-wt=20): 179 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 275.02/275.17  ** KEPT (pick-wt=19): 180 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_in(D,B,C)| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=19): 181 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,C,D)| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=20): 182 [] c_in(A,c_Inductive_Ocomplete__lattice__class_Ogfp(B,tc_fun(C,tc_bool)),C)| -c_lesse_quals(D,hAPP(B,D),tc_fun(C,tc_bool))| -c_in(A,D,C).
% 275.02/275.17  ** KEPT (pick-wt=31): 183 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)=c_Finite__Set_Osetsum(B,C,E,A)|c_in(D,C,E)| -c_Finite__Set_Ofinite(C,E).
% 275.02/275.17  ** KEPT (pick-wt=30): 184 [] hBOOL(hAPP(A,B))| -c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(C,A,D),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(C,A,D),D)| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D).
% 275.02/275.17  ** KEPT (pick-wt=14): 185 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A)| -c_lesse_quals(B,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 186 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(B,C,tc_nat)| -c_lesse_quals(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A).
% 275.02/275.17  ** KEPT (pick-wt=36): 187 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|c_in(B,C,D).
% 275.02/275.17  ** KEPT (pick-wt=29): 188 [] -c_in(hAPP(A,B),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E),E)| -c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E).
% 275.02/275.17  ** KEPT (pick-wt=34): 189 [] c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E)|c_in(hAPP(A,B),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E),E)| -c_Fun_Oinj__on(A,C,D,E).
% 275.02/275.17  ** KEPT (pick-wt=19): 190 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)),C).
% 275.02/275.17  ** KEPT (pick-wt=19): 191 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),D).
% 275.02/275.17  ** KEPT (pick-wt=13): 192 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 275.02/275.17  ** KEPT (pick-wt=13): 193 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 275.02/275.17  ** KEPT (pick-wt=33): 194 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(C,A,D),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(C,A,D),D)))| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D).
% 275.02/275.17  ** KEPT (pick-wt=15): 195 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(C,A,B,D)| -c_Finite__Set_Ofinite(c_Set_Oimage(C,A,B,D),D).
% 275.02/275.17  ** KEPT (pick-wt=9): 196 [] -c_lesse_quals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=9): 197 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=9): 198 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=9): 199 [] c_lesse_quals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=9): 200 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 275.02/275.17    Following clause subsumed by 199 during input processing: 0 [] c_lesse_quals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.17    Following clause subsumed by 200 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=12): 201 [] A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 202 [] c_lesse_quals(A,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,A,tc_nat),C,tc_nat),tc_nat)| -c_lesse_quals(C,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=18): 203 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_lesse_quals(B,A,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=11): 204 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_lesse_quals(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=11): 205 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=18): 206 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -c_lesse_quals(A,c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_lesse_quals(B,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=18): 207 [] c_lesse_quals(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat)| -c_lesse_quals(C,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 208 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 209 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)| -c_lesse_quals(A,c_HOL_Oplus__class_Oplus(C,B,tc_nat),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=10): 210 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 275.02/275.17  ** KEPT (pick-wt=19): 211 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,E,A).
% 275.02/275.17  ** KEPT (pick-wt=19): 212 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 275.02/275.17  ** KEPT (pick-wt=11): 213 [] -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).
% 275.02/275.17  ** KEPT (pick-wt=9): 214 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 275.02/275.17  ** KEPT (pick-wt=9): 215 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 275.02/275.17    Following clause subsumed by 214 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 275.02/275.17  ** KEPT (pick-wt=9): 216 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 275.02/275.17  ** KEPT (pick-wt=11): 217 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A)=B.
% 275.02/275.17  ** KEPT (pick-wt=14): 218 [] -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.
% 275.02/275.17  ** KEPT (pick-wt=12): 219 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 275.02/275.17  ** KEPT (pick-wt=12): 220 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 275.02/275.17  ** KEPT (pick-wt=11): 221 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=B.
% 275.02/275.17  ** KEPT (pick-wt=14): 222 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.17  ** KEPT (pick-wt=14): 223 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B).
% 275.02/275.17  ** KEPT (pick-wt=11): 224 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 275.02/275.17  ** KEPT (pick-wt=9): 225 [] -c_HOL_Oord__class_Oless(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=9): 226 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=9): 227 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=13): 228 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(C,B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=5): 229 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.17    Following clause subsumed by 229 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=12): 230 [] A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=12): 231 [] A=B| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 275.02/275.17    Following clause subsumed by 230 during input processing: 0 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 275.02/275.17    Following clause subsumed by 229 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.17    Following clause subsumed by 229 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=13): 232 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)|c_Suc(A)=B| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=9): 233 [] -c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=10): 234 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=10): 235 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat).
% 275.02/275.17    Following clause subsumed by 234 during input processing: 0 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=13): 236 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D).
% 275.02/275.17  ** KEPT (pick-wt=14): 237 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(B,C,tc_fun(D,A)).
% 275.02/275.17  ** KEPT (pick-wt=20): 238 [] -class_HOL_Oord(A)|c_HOL_Oord__class_Oless(B,C,tc_fun(D,A))|c_lesse_quals(C,B,tc_fun(D,A))| -c_lesse_quals(B,C,tc_fun(D,A)).
% 275.02/275.17  ** KEPT (pick-wt=14): 239 [] -class_HOL_Oord(A)| -c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(C,B,tc_fun(D,A)).
% 275.02/275.17  ** KEPT (pick-wt=15): 240 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 275.02/275.17    Following clause subsumed by 240 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))|A=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=25): 241 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=18): 242 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=18): 243 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=16): 244 [] c_Fun_Oinj__on(A,B,C,D)| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,E,C,D).
% 275.02/275.17  ** KEPT (pick-wt=12): 245 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=28): 246 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=20): 247 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(D,tc_bool)).
% 275.02/275.17  ** KEPT (pick-wt=42): 248 [] c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_lesse_quals(C,F,tc_fun(D,tc_bool))| -c_lesse_quals(B,F,tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,F,D,E).
% 275.02/275.17  ** KEPT (pick-wt=17): 249 [] c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(A,B),c_Finite__Set_Ocard(C,B),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 275.02/275.17  ** KEPT (pick-wt=10): 250 [] c_Finite__Set_Ofinite(A,B)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(A,B),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=10): 251 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=11): 252 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.17    Following clause subsumed by 252 during input processing: 0 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.17    Following clause subsumed by 252 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 253 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat)| -c_lesse_quals(B,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 254 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(C,A,tc_nat),c_HOL_Oplus__class_Oplus(C,B,tc_nat),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 255 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(C,B,tc_nat),tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=8): 256 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.17    Following clause subsumed by 256 during input processing: 0 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=9): 257 [] A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=18): 258 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(C,D,tc_nat),tc_nat)| -c_lesse_quals(B,D,tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=11): 259 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=11): 260 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=11): 261 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(C,A,tc_nat),B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=11): 262 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat).
% 275.02/275.17    Following clause subsumed by 259 during input processing: 0 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 275.02/275.17    Following clause subsumed by 260 during input processing: 0 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=13): 263 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Suc(B),tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 264 [] c_Suc(c_HOL_Ominus__class_Ominus(A,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=17): 265 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(B,A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|B=A.
% 275.02/275.17  ** KEPT (pick-wt=11): 266 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=18): 267 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(C,A,tc_nat)| -c_HOL_Oord__class_Oless(C,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=14): 268 [] -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,tc_nat),B,tc_nat)))|hBOOL(hAPP(A,C)).
% 275.02/275.17    Following clause subsumed by 268 during input processing: 0 [] -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,tc_nat),B,tc_nat)))|hBOOL(hAPP(A,C)).
% 275.02/275.17  ** KEPT (pick-wt=36): 270 [copy,269,flip.2] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(hAPP(B,C),c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(D,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A),A)=c_Finite__Set_Osetsum(B,D,E,A)| -c_in(C,D,E)| -c_Finite__Set_Ofinite(D,E).
% 275.02/275.17  ** KEPT (pick-wt=19): 272 [copy,271,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -c_lesse_quals(C,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=19): 274 [copy,273,flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=19): 275 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat)| -c_lesse_quals(C,B,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=16): 276 [] -c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,A,tc_nat),A,tc_nat)=B.
% 275.02/275.17  ** KEPT (pick-wt=13): 278 [copy,277,flip.2] -c_lesse_quals(A,B,tc_nat)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,A,tc_nat),A,tc_nat)=B.
% 275.02/275.17  ** KEPT (pick-wt=13): 279 [] c_HOL_Oplus__class_Oplus(A,c_HOL_Ominus__class_Ominus(B,A,tc_nat),tc_nat)=B| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.17    Following clause subsumed by 278 during input processing: 0 [] c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),B,tc_nat)=A| -c_lesse_quals(B,A,tc_nat).
% 275.02/275.17    Following clause subsumed by 272 during input processing: 0 [] c_HOL_Oplus__class_Oplus(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -c_lesse_quals(C,B,tc_nat).
% 275.02/275.17    Following clause subsumed by 274 during input processing: 0 [] c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=22): 280 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,C,tc_nat),c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(C,A,tc_nat).
% 275.02/275.17    Following clause subsumed by 203 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_lesse_quals(B,C,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 275.02/275.17  ** KEPT (pick-wt=16): 281 [] c_Finite__Set_Ocard(c_Set_Oimage(A,B,C,D),D)=c_Finite__Set_Ocard(B,C)| -c_Fun_Oinj__on(A,B,C,D).
% 275.02/275.18  ** KEPT (pick-wt=36): 282 [] -class_OrderedGroup_Oab__group__add(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,E,A),hAPP(B,D),A)| -c_in(D,C,E)| -c_Finite__Set_Ofinite(C,E).
% 275.02/275.18  ** KEPT (pick-wt=36): 283 [] -class_Ring__and__Field_Oring(A)|c_Finite__Set_Osetsum(B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,C,E,A),hAPP(B,D),A)| -c_in(D,C,E)| -c_Finite__Set_Ofinite(C,E).
% 275.02/275.18  ** KEPT (pick-wt=41): 284 [] c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C),c_Finite__Set_Ocard(A,C),tc_nat)| -c_in(D,A,C)| -c_in(B,A,C)| -c_Finite__Set_Ofinite(A,C).
% 275.02/275.18  ** KEPT (pick-wt=26): 285 [] c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C),c_Finite__Set_Ocard(A,C),tc_nat)| -c_in(B,A,C)| -c_Finite__Set_Ofinite(A,C).
% 275.02/275.18  ** KEPT (pick-wt=35): 286 [] c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),D),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_in(B,C,D)| -c_in(B,A,D)| -c_Finite__Set_Ofinite(A,D).
% 275.02/275.18  ** KEPT (pick-wt=9): 287 [] v_wt(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom))| -c_in(A,v_U,tc_Com_Opname).
% 275.02/275.18  ** KEPT (pick-wt=15): 288 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),C,A)| -c_in(C,B,A)| -c_Finite__Set_Ofinite(B,A).
% 275.02/275.18  ** KEPT (pick-wt=15): 289 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Finite__Set_Olinorder__class_OMax(C,A),A)| -c_in(B,C,A)| -c_Finite__Set_Ofinite(C,A).
% 275.02/275.18  ** KEPT (pick-wt=17): 290 [] -class_Orderings_Olinorder(A)|c_in(c_Finite__Set_Olinorder__class_OMax(B,A),B,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 275.02/275.18  ** KEPT (pick-wt=17): 291 [] -class_Orderings_Olinorder(A)|c_in(c_Finite__Set_Olinorder__class_OMin(B,A),B,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 275.02/275.18  ** KEPT (pick-wt=16): 292 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,B,C)| -c_OrderedGroup_Oab__semigroup__mult(D,E).
% 275.02/275.18  ** KEPT (pick-wt=19): 293 [] hAPP(A,B)=C| -c_in(B,c_Set_Ovimage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),E).
% 275.02/275.18  ** KEPT (pick-wt=21): 294 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -c_in(A,B,C).
% 275.02/275.18  ** KEPT (pick-wt=23): 295 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)|c_in(D,B,C)| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=23): 296 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D)|c_in(B,C,D).
% 275.02/275.18  ** KEPT (pick-wt=25): 297 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D)| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=27): 298 [] -class_Orderings_Oorder(A)|c_lesse_quals(hAPP(B,C),hAPP(B,D),A)| -c_lesse_quals(C,D,tc_nat)| -c_lesse_quals(hAPP(B,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(B,A)),hAPP(B,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(B,A))),A).
% 275.02/275.18  ** KEPT (pick-wt=27): 299 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(C,A,D)))| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D).
% 275.02/275.18  ** KEPT (pick-wt=26): 300 [] hBOOL(hAPP(A,B))|c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(C,A,D),D)| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D).
% 275.02/275.18  ** KEPT (pick-wt=21): 301 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))| -c_in(hAPP(A,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(B,E,A,C,D)),E,D).
% 275.02/275.18  ** KEPT (pick-wt=30): 302 [] c_in(hAPP(A,B),c_Inductive_Ocomplete__lattice__class_Ogfp(C,tc_fun(D,tc_bool)),D)| -c_lesse_quals(c_Set_Oimage(A,E,F,D),hAPP(C,c_Set_Oimage(A,E,F,D)),tc_fun(D,tc_bool))| -c_in(B,E,F).
% 275.02/275.18  ** KEPT (pick-wt=21): 303 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))| -c_in(hAPP(A,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(B,E,A,C,D)),E,D).
% 275.02/275.18  ** KEPT (pick-wt=32): 304 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=29): 305 [] c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(A,C),c_HOL_Oone__class_Oone(tc_nat),tc_nat)| -c_in(B,A,C)| -c_Finite__Set_Ofinite(A,C).
% 275.02/275.18  ** KEPT (pick-wt=18): 306 [] c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(B,c_Set_Oimage(A,B,C,C),tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.18  ** KEPT (pick-wt=25): 308 [copy,307,flip.1] c_Set_Oimage(A,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(B,C,A,D,E),D,E)=C| -c_lesse_quals(C,c_Set_Oimage(A,B,D,E),tc_fun(E,tc_bool))| -c_Finite__Set_Ofinite(C,E).
% 275.02/275.18  ** KEPT (pick-wt=21): 309 [] c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(A,B,C,D,E),D)| -c_lesse_quals(B,c_Set_Oimage(C,A,D,E),tc_fun(E,tc_bool))| -c_Finite__Set_Ofinite(B,E).
% 275.02/275.18  ** KEPT (pick-wt=25): 310 [] c_Set_Oimage(A,B,C,C)=B| -c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(c_Set_Oimage(A,B,C,C),B,tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.18  ** KEPT (pick-wt=24): 311 [] c_lesse_quals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(A,B,C,D,E),A,tc_fun(D,tc_bool))| -c_lesse_quals(B,c_Set_Oimage(C,A,D,E),tc_fun(E,tc_bool))| -c_Finite__Set_Ofinite(B,E).
% 275.02/275.18  ** KEPT (pick-wt=15): 312 [] c_Finite__Set_Ocard(A,B)!=c_HOL_Ozero__class_Ozero(tc_nat)| -c_Finite__Set_Ofinite(A,B)|A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=21): 313 [] -class_Ring__and__Field_Oring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(B,C,tc_nat),A)=c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A)| -c_lesse_quals(C,B,tc_nat).
% 275.02/275.18  ** KEPT (pick-wt=19): 314 [] c_Finite__Set_Ocard(c_Set_Oimage(A,B,C,D),D)!=c_Finite__Set_Ocard(B,C)| -c_Finite__Set_Ofinite(B,C)|c_Fun_Oinj__on(A,B,C,D).
% 275.02/275.18    Following clause subsumed by 281 during input processing: 0 [] c_Finite__Set_Ocard(c_Set_Oimage(A,B,C,D),D)=c_Finite__Set_Ocard(B,C)| -c_Fun_Oinj__on(A,B,C,D)| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.18  ** KEPT (pick-wt=21): 315 [] c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(A,B,tc_nat)),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_Suc(A),c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 275.02/275.18  ** KEPT (pick-wt=21): 316 [] c_HOL_Ominus__class_Ominus(A,c_Suc(c_HOL_Ominus__class_Ominus(B,C,tc_nat)),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,C,tc_nat),c_Suc(B),tc_nat)| -c_lesse_quals(C,B,tc_nat).
% 275.02/275.18  ** KEPT (pick-wt=35): 317 [] hBOOL(hAPP(hAPP(v_P,A),c_Set_Oinsert(hAPP(v_mgt__call,B),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))| -hBOOL(hAPP(hAPP(v_P,c_Set_Oinsert(hAPP(v_mgt__call,B),A,t_a)),c_Set_Oinsert(v_mgt(c_Option_Othe(c_Com_Obody(B),tc_Com_Ocom)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))).
% 275.02/275.18  ** KEPT (pick-wt=27): 318 [] hBOOL(hAPP(A,B))|c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(C,A,D),C,D)| -hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))))| -c_lesse_quals(B,C,tc_fun(D,tc_bool))| -c_Finite__Set_Ofinite(B,D).
% 275.02/275.18  ** KEPT (pick-wt=25): 319 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(B,A),c_Finite__Set_Olinorder__class_OMax(C,A),A)| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=25): 320 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),c_Finite__Set_Olinorder__class_OMin(C,A),A)| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=30): 321 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_in(B,A,C)| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=30): 322 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 275.02/275.18    Following clause subsumed by 322 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=20): 323 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)| -c_in(E,D,C).
% 275.02/275.18  ** KEPT (pick-wt=43): 324 [] c_Finite__Set_Ocard(A,B)=c_Finite__Set_Ocard(C,D)| -c_Finite__Set_Ofinite(C,D)| -c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(c_Set_Oimage(E,C,D,B),A,tc_fun(B,tc_bool))| -c_Fun_Oinj__on(E,C,D,B)| -c_lesse_quals(c_Set_Oimage(F,A,B,D),C,tc_fun(D,tc_bool))| -c_Fun_Oinj__on(F,A,B,D).
% 275.02/275.18  ** KEPT (pick-wt=26): 325 [] c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(A,C),c_Finite__Set_Ocard(B,C),tc_nat)| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.18  ** KEPT (pick-wt=25): 326 [] c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Finite__Set_Ocard(A,C)|c_in(B,A,C)| -c_Finite__Set_Ofinite(A,C).
% 275.02/275.18  ** KEPT (pick-wt=25): 328 [copy,327,flip.1] c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C))=c_Finite__Set_Ocard(c_Set_Oinsert(B,A,C),C)| -c_Finite__Set_Ofinite(A,C).
% 275.02/275.18  ** KEPT (pick-wt=22): 329 [] c_lesse_quals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C),c_Finite__Set_Ocard(A,C),tc_nat)| -c_Finite__Set_Ofinite(A,C).
% 275.02/275.18  ** KEPT (pick-wt=26): 330 [] c_lesse_quals(c_Finite__Set_Ocard(A,B),c_Finite__Set_Ocard(C,D),tc_nat)| -c_Finite__Set_Ofinite(C,D)| -c_lesse_quals(c_Set_Oimage(E,A,B,D),C,tc_fun(D,tc_bool))| -c_Fun_Oinj__on(E,A,B,D).
% 275.02/275.18  ** KEPT (pick-wt=26): 331 [] c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C))=c_Finite__Set_Ocard(A,C)| -c_in(B,A,C)| -c_Finite__Set_Ofinite(A,C).
% 275.02/275.18  ** KEPT (pick-wt=33): 332 [] hBOOL(hAPP(hAPP(v_P,A),c_Set_Oinsert(v_mgt(B),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))| -hBOOL(hAPP(hAPP(v_P,A),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(A,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))| -v_wt(B).
% 275.02/275.18  ** KEPT (pick-wt=23): 333 [] hBOOL(hAPP(hAPP(v_P,A),c_Set_Oinsert(v_mgt(B),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))|c_in(v_sko__local__Xassms__3__1(A,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)| -v_wt(B).
% 275.02/275.18  ** KEPT (pick-wt=14): 334 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 275.02/275.18    Following clause subsumed by 334 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=12): 335 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 275.02/275.18    Following clause subsumed by 334 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 275.02/275.18    Following clause subsumed by 334 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=18): 336 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=14): 337 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=6): 338 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 275.02/275.18  ** KEPT (pick-wt=6): 339 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 275.02/275.18  ** KEPT (pick-wt=12): 340 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 275.02/275.18    Following clause subsumed by 337 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 275.02/275.18    Following clause subsumed by 340 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 275.02/275.18  ** KEPT (pick-wt=11): 341 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 275.02/275.18    Following clause subsumed by 341 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 275.02/275.18  ** KEPT (pick-wt=16): 342 [] c_Set_Oimage(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=27): 343 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=19): 344 [] -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).
% 275.02/275.18  ** KEPT (pick-wt=19): 345 [] -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).
% 275.02/275.18  ** KEPT (pick-wt=20): 346 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 275.02/275.18    Following clause subsumed by 346 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=18): 347 [] c_lesse_quals(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=10): 348 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat).
% 275.02/275.18  ** KEPT (pick-wt=10): 349 [] c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.18  ** KEPT (pick-wt=10): 350 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 275.02/275.18  ** KEPT (pick-wt=14): 351 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 275.02/275.18  ** KEPT (pick-wt=14): 352 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 275.02/275.18  ** KEPT (pick-wt=4): 354 [copy,353,flip.1] c_Suc(A)!=A.
% 275.02/275.18    Following clause subsumed by 354 during input processing: 0 [] c_Suc(A)!=A.
% 275.02/275.18  ** KEPT (pick-wt=19): 355 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 275.02/275.18  ** KEPT (pick-wt=5): 356 [] -c_lesse_quals(c_Suc(A),A,tc_nat).
% 275.02/275.18  ** KEPT (pick-wt=9): 357 [] c_lesse_quals(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.18  ** KEPT (pick-wt=9): 358 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 275.02/275.18  ** KEPT (pick-wt=7): 359 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 275.02/275.18    Following clause subsumed by 359 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 275.02/275.18    Following clause subsumed by 359 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 275.02/275.18    Following clause subsumed by 359 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 275.02/275.18  ** KEPT (pick-wt=9): 360 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 275.02/275.18  ** KEPT (pick-wt=15): 361 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=17): 362 [] c_Finite__Set_Ocard(c_Set_Oinsert(A,B,C),C)=c_Finite__Set_Ocard(B,C)| -c_in(A,B,C)| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.18  ** KEPT (pick-wt=27): 363 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E.
% 275.02/275.18  ** KEPT (pick-wt=27): 364 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E.
% 275.02/275.18  ** KEPT (pick-wt=27): 365 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D.
% 275.02/275.18  ** KEPT (pick-wt=27): 366 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D.
% 275.02/275.18  ** KEPT (pick-wt=10): 367 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.18  ** KEPT (pick-wt=13): 368 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 275.02/275.18    Following clause subsumed by 368 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 275.02/275.18    Following clause subsumed by 368 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 275.02/275.18  ** KEPT (pick-wt=15): 369 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=11): 370 [] A=B| -c_lesse_quals(B,A,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 275.02/275.18    Following clause subsumed by 369 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=14): 371 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C).
% 275.02/275.18  ** KEPT (pick-wt=7): 372 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 275.02/275.18  ** KEPT (pick-wt=20): 373 [] A=B| -c_lesse_quals(c_Finite__Set_Ocard(B,C),c_Finite__Set_Ocard(A,C),tc_nat)| -c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.18  ** KEPT (pick-wt=8): 374 [] c_Suc(A)!=c_Suc(B)|A=B.
% 275.02/275.18    Following clause subsumed by 374 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 275.02/275.18  ** KEPT (pick-wt=14): 375 [] c_lesse_quals(c_Finite__Set_Ocard(A,B),c_Finite__Set_Ocard(c_Set_Oinsert(C,A,B),B),tc_nat)| -c_Finite__Set_Ofinite(A,B).
% 275.02/275.18  ** KEPT (pick-wt=9): 376 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 275.02/275.18  ** KEPT (pick-wt=9): 377 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 275.02/275.18  ** KEPT (pick-wt=15): 379 [copy,378,flip.1] c_Suc(c_HOL_Ominus__class_Ominus(A,B,tc_nat))=c_HOL_Ominus__class_Ominus(c_Suc(A),B,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 275.02/275.18  ** KEPT (pick-wt=14): 380 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 275.02/275.18  ** KEPT (pick-wt=9): 381 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=7): 382 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 275.02/275.18  ** KEPT (pick-wt=16): 383 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oimage(B,C,D,A)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=15): 384 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=15): 385 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)).
% 275.02/275.18  ** KEPT (pick-wt=16): 386 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,c_Set_Oimage(C,D,E,B),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(D,E).
% 275.02/275.18  ** KEPT (pick-wt=20): 387 [] c_in(hAPP(A,B),C,D)| -c_in(B,E,F)| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=13): 388 [] A=B| -c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 275.14/275.19  ** KEPT (pick-wt=8): 389 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)).
% 275.14/275.19  ** KEPT (pick-wt=8): 390 [] hBOOL(hAPP(A,B))| -c_in(B,A,C).
% 275.14/275.19  ** KEPT (pick-wt=18): 391 [] c_Finite__Set_Ocard(c_Set_Oinsert(A,B,C),C)=c_Suc(c_Finite__Set_Ocard(B,C))|c_in(A,B,C)| -c_Finite__Set_Ofinite(B,C).
% 275.14/275.19  ** KEPT (pick-wt=14): 392 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(A,C,tc_nat),tc_nat)| -c_lesse_quals(C,B,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=14): 393 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 275.14/275.19    Following clause subsumed by 393 during input processing: 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_lesse_quals(A,C,tc_nat)| -c_lesse_quals(B,C,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=22): 394 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,C,tc_nat),c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(C,A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=14): 395 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 275.14/275.19  ** KEPT (pick-wt=14): 396 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 275.14/275.19  ** KEPT (pick-wt=20): 397 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)!=c_HOL_Ominus__class_Ominus(C,B,tc_nat)| -c_lesse_quals(B,C,tc_nat)| -c_lesse_quals(B,A,tc_nat)|A=C.
% 275.14/275.19  ** KEPT (pick-wt=18): 398 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C.
% 275.14/275.19    Following clause subsumed by 359 during input processing: 0 [] -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 275.14/275.19  ** KEPT (pick-wt=23): 399 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(A,C,tc_nat)| -c_lesse_quals(B,C,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 275.14/275.19    Following clause subsumed by 381 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,B,C).
% 275.14/275.19  ** KEPT (pick-wt=13): 400 [] c_in(A,B,C)| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=9): 401 [] -c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(B),A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=11): 402 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 275.14/275.19  ** KEPT (pick-wt=20): 403 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -c_in(B,C,D).
% 275.14/275.19    Following clause subsumed by 384 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 275.14/275.19  ** KEPT (pick-wt=19): 404 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 275.14/275.19    Following clause subsumed by 384 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 275.14/275.19    Following clause subsumed by 404 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|c_in(D,A,C).
% 275.14/275.19  ** KEPT (pick-wt=20): 405 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D.
% 275.14/275.19  ** KEPT (pick-wt=12): 406 [] hBOOL(hAPP(hAPP(v_P,A),B))| -c_lesse_quals(B,A,tc_fun(t_a,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=10): 407 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C).
% 275.14/275.19  ** KEPT (pick-wt=17): 408 [] c_lesse_quals(c_Finite__Set_Ocard(A,B),c_Finite__Set_Ocard(C,B),tc_nat)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 275.14/275.19  ** KEPT (pick-wt=15): 409 [] c_lesse_quals(c_Finite__Set_Ocard(c_Set_Oimage(A,B,C,D),D),c_Finite__Set_Ocard(B,C),tc_nat)| -c_Finite__Set_Ofinite(B,C).
% 275.14/275.19  ** KEPT (pick-wt=5): 410 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 275.14/275.19  ** KEPT (pick-wt=13): 411 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(A,B,tc_nat),tc_nat)=B| -c_lesse_quals(B,A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=13): 412 [] A=c_Suc(B)|c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(A,c_Suc(B),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=14): 413 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 275.14/275.19    Following clause subsumed by 413 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 275.14/275.19    Following clause subsumed by 413 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 275.14/275.19    Following clause subsumed by 413 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 275.14/275.19  ** KEPT (pick-wt=16): 414 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 275.14/275.19  ** KEPT (pick-wt=6): 415 [] -c_in(hAPP(v_mgt__call,v_pn),v_G,t_a).
% 275.14/275.19  ** KEPT (pick-wt=14): 416 [] -hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))).
% 275.14/275.19  ** KEPT (pick-wt=39): 417 [] c_Finite__Set_Ocard(A,t_a)!=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat)| -c_lesse_quals(A,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))|hBOOL(hAPP(hAPP(v_P,A),c_Set_Oinsert(v_mgt(B),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))| -v_wt(B).
% 275.14/275.19  ** KEPT (pick-wt=6): 418 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 275.14/275.19  ** KEPT (pick-wt=8): 419 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 275.14/275.19  ** KEPT (pick-wt=6): 420 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 275.14/275.19  ** KEPT (pick-wt=6): 421 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 275.14/275.19  ** KEPT (pick-wt=6): 422 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 275.14/275.19  ** KEPT (pick-wt=6): 423 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 275.14/275.19  ** KEPT (pick-wt=7): 424 [] A=B| -c_fe_qual(A,B,C).
% 275.14/275.19  198 back subsumes 196.
% 275.14/275.19  224 back subsumes 222.
% 275.14/275.19    Following clause subsumed by 381 during input processing: 0 [copy,360,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 275.14/275.19    Following clause subsumed by 360 during input processing: 0 [copy,381,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 275.14/275.19  381 back subsumes 292.
% 275.14/275.19  384 back subsumes 304.
% 275.14/275.19  
% 275.14/275.19  ------------> process sos:
% 275.14/275.19  ** KEPT (pick-wt=3): 470 [] A=A.
% 275.14/275.19  ** KEPT (pick-wt=15): 471 [] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 275.14/275.19  ---> New Demodulator: 472 [new_demod,471] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=15): 473 [] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=9): 474 [] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ---> New Demodulator: 475 [new_demod,474] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=8): 476 [] c_Suc(A)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 275.14/275.19  ---> New Demodulator: 477 [new_demod,476] c_Suc(A)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=11): 479 [copy,478,demod,477] c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=17): 481 [copy,480,demod,477,472,477] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 275.14/275.19  ---> New Demodulator: 482 [new_demod,481] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=25): 483 [] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=11): 485 [copy,484,demod,477,472] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=11): 487 [copy,486,demod,477,472] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat).
% 275.14/275.19    Following clause subsumed by 485 during input processing: 0 [demod,477,472] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=9): 488 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=9): 490 [copy,489,demod,477,flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 275.14/275.19  ---> New Demodulator: 491 [new_demod,490] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=6): 493 [copy,492,demod,477,491] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=21): 495 [copy,494,demod,477,472,flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,B,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=9): 497 [copy,496,demod,477,491,477,491,flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 275.14/275.19  ---> New Demodulator: 498 [new_demod,497] c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=11): 499 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 275.14/275.19    Following clause subsumed by 499 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 275.14/275.19    Following clause subsumed by 499 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 275.14/275.19  ** KEPT (pick-wt=8): 500 [] hAPP(c_COMBK(A,B,C),D)=A.
% 275.14/275.19  ---> New Demodulator: 501 [new_demod,500] hAPP(c_COMBK(A,B,C),D)=A.
% 275.14/275.19  ** KEPT (pick-wt=18): 502 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 275.14/275.19  ---> New Demodulator: 503 [new_demod,502] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 275.14/275.19    Following clause subsumed by 470 during input processing: 0 [demod,477,491,477,491,491] c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=10): 504 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=9): 506 [copy,505,demod,477] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.14/275.19    Following clause subsumed by 506 during input processing: 0 [demod,477] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=7): 508 [copy,507,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 275.14/275.19  ---> New Demodulator: 509 [new_demod,508] c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 275.14/275.19  ** KEPT (pick-wt=7): 510 [] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=A.
% 275.14/275.19  ---> New Demodulator: 511 [new_demod,510] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=A.
% 275.14/275.19    Following clause subsumed by 470 during input processing: 0 [demod,509] A=A.
% 275.14/275.19  ** KEPT (pick-wt=9): 512 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19    Following clause subsumed by 470 during input processing: 0 [demod,477,511,511,477,511] c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=13): 513 [] c_HOL_Oplus__class_Oplus(A,c_HOL_Ominus__class_Ominus(B,A,tc_nat),tc_nat)=B|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=23): 515 [copy,514,flip.1] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))|c_in(A,C,D).
% 275.14/275.19  ** KEPT (pick-wt=20): 516 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 275.14/275.19  ---> New Demodulator: 517 [new_demod,516] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 275.14/275.19  ** KEPT (pick-wt=27): 518 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=27): 519 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=16): 520 [] c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=28): 521 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=14): 522 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=9): 523 [] c_Finite__Set_Ocard(A,B)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Finite__Set_Ofinite(A,B).
% 275.14/275.19  ** KEPT (pick-wt=9): 524 [] c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ---> New Demodulator: 525 [new_demod,524] c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=17): 527 [copy,526,demod,477] c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=11): 529 [copy,528,demod,477] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=11): 531 [copy,530,demod,477] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=A.
% 275.14/275.19  ---> New Demodulator: 532 [new_demod,531] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=A.
% 275.14/275.19  ** KEPT (pick-wt=17): 533 [] c_Set_Ovimage(c_COMBK(A,B,C),D,C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,D,B).
% 275.14/275.19  ** KEPT (pick-wt=13): 534 [] c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=14): 535 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 275.14/275.19  ---> New Demodulator: 536 [new_demod,535] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=11): 537 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=11): 538 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 275.14/275.19  ---> New Demodulator: 539 [new_demod,538] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 275.14/275.19  ** KEPT (pick-wt=8): 540 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 275.14/275.19  ** KEPT (pick-wt=8): 542 [copy,541,demod,477] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.14/275.19    Following clause subsumed by 542 during input processing: 0 [demod,477] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=17): 544 [copy,543,demod,477,472,477,472] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.14/275.19    Following clause subsumed by 470 during input processing: 0 [demod,477,477,472] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.14/275.19    Following clause subsumed by 544 during input processing: 0 [demod,477,472,477] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.14/275.19    Following clause subsumed by 542 during input processing: 0 [demod,477,unit_del,55] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=12): 546 [copy,545,demod,477] c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=11): 547 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=6): 548 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=7): 549 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=7): 550 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 275.14/275.19    Following clause subsumed by 549 during input processing: 0 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=5): 551 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=7): 552 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 275.14/275.19  ---> New Demodulator: 553 [new_demod,552] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 275.14/275.19  ** KEPT (pick-wt=7): 554 [] c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=15): 555 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=8): 556 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ---> New Demodulator: 557 [new_demod,556] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=15): 558 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(C,B,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(A,C,tc_nat).
% 275.14/275.19  ---> New Demodulator: 559 [new_demod,558] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(C,B,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(A,C,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=15): 560 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(B,C,tc_nat).
% 275.14/275.19  ---> New Demodulator: 561 [new_demod,560] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(B,C,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=9): 562 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),B,tc_nat)=A.
% 275.14/275.19  ---> New Demodulator: 563 [new_demod,562] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),B,tc_nat)=A.
% 275.14/275.19  ** KEPT (pick-wt=9): 564 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),A,tc_nat)=B.
% 275.14/275.19  ---> New Demodulator: 565 [new_demod,564] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),A,tc_nat)=B.
% 275.14/275.19  ** KEPT (pick-wt=21): 566 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=B|c_in(A,B,C).
% 275.14/275.19  ** KEPT (pick-wt=16): 567 [] c_in(A,c_Set_Ovimage(B,c_Set_Oinsert(hAPP(B,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),D,C),D).
% 275.14/275.19  ** KEPT (pick-wt=19): 568 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))|c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(B,E,A,C,D),B,C).
% 275.14/275.19  ** KEPT (pick-wt=19): 569 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))|c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(B,E,A,C,D),B,C).
% 275.14/275.19  ** KEPT (pick-wt=22): 570 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=24): 572 [copy,571,demod,477] c_in(A,B,C)|c_Finite__Set_Ocard(c_Set_Oinsert(A,B,C),C)=c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(B,C),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_Finite__Set_Ocard(B,C)=c_HOL_Ozero__class_Ozero(tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=4): 573 [] c_lesse_quals(A,A,tc_nat).
% 275.14/275.19    Following clause subsumed by 573 during input processing: 0 [] c_lesse_quals(A,A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=6): 574 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 275.14/275.19    Following clause subsumed by 574 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=10): 575 [] c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B).
% 275.14/275.19  ** KEPT (pick-wt=8): 576 [] c_lesse_quals(A,B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=7): 577 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 275.14/275.19  ** KEPT (pick-wt=19): 579 [copy,578,flip.1] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 275.14/275.19  ---> New Demodulator: 580 [new_demod,579] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 275.14/275.19    Following clause subsumed by 574 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 275.14/275.19    Following clause subsumed by 470 during input processing: 0 [demod,477,477,559] c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ominus__class_Ominus(A,B,tc_nat).
% 275.14/275.19  ** KEPT (pick-wt=6): 581 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 275.14/275.19  ** KEPT (pick-wt=9): 582 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=12): 583 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 275.14/275.19  ---> New Demodulator: 584 [new_demod,583] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 275.14/275.19  ** KEPT (pick-wt=9): 585 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 275.14/275.19  ** KEPT (pick-wt=7): 586 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 275.14/275.19    Following clause subsumed by 586 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 275.14/275.19    Following clause subsumed by 586 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 275.14/275.19  ** KEPT (pick-wt=15): 587 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 275.14/275.19  ** KEPT (pick-wt=12): 589 [copy,588,demod,525,477,511,unit_del,359] c_Finite__Set_Ocard(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=c_HOL_Oone__class_Oone(tc_nat).
% 275.14/275.19  ---> New Demodulator: 590 [new_demod,589] c_Finite__Set_Ocard(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=c_HOL_Oone__class_Oone(tc_nat).
% 275.15/275.20    Following clause subsumed by 587 during input processing: 0 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 275.15/275.20  ** KEPT (pick-wt=13): 591 [] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 275.15/275.20  ** KEPT (pick-wt=7): 592 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),A,tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=15): 593 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=12): 595 [copy,594,demod,477] c_lesse_quals(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=23): 597 [copy,596,demod,477,477] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat),c_HOL_Oplus__class_Oplus(C,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat).
% 275.15/275.20  ---> New Demodulator: 598 [new_demod,597] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat),c_HOL_Oplus__class_Oplus(C,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat).
% 275.15/275.20    Following clause subsumed by 573 during input processing: 0 [demod,477,477] c_lesse_quals(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=13): 599 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 275.15/275.20  ** KEPT (pick-wt=3): 600 [] c_Finite__Set_Ofinite(v_U,tc_Com_Opname).
% 275.15/275.20  ** KEPT (pick-wt=10): 601 [] c_lesse_quals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)).
% 275.15/275.20  ** KEPT (pick-wt=14): 603 [copy,602,demod,477] c_lesse_quals(c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=18): 605 [copy,604,demod,477,flip.1] c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_Finite__Set_Ocard(v_G,t_a).
% 275.15/275.20  ---> New Demodulator: 606 [new_demod,605] c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_Finite__Set_Ocard(v_G,t_a).
% 275.15/275.20  ** KEPT (pick-wt=4): 607 [] c_in(v_pn,v_U,tc_Com_Opname).
% 275.15/275.20  ** KEPT (pick-wt=2): 608 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 609 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 610 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 611 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 612 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 613 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 614 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 615 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 616 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 617 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 618 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 619 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 620 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 621 [] class_Nat_Osemiring__char__0(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 622 [] class_Orderings_Opreorder(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 623 [] class_Orderings_Olinorder(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 624 [] class_Orderings_Oorder(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 625 [] class_Orderings_Obot(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 626 [] class_HOL_Oord(tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=2): 627 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 275.15/275.20  ** KEPT (pick-wt=2): 628 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 275.15/275.20  ** KEPT (pick-wt=2): 629 [] class_Orderings_Opreorder(tc_bool).
% 275.15/275.20  ** KEPT (pick-wt=2): 630 [] class_Orderings_Oorder(tc_bool).
% 275.15/275.20  ** KEPT (pick-wt=2): 631 [] class_Orderings_Obot(tc_bool).
% 275.15/275.20  ** KEPT (pick-wt=2): 632 [] class_HOL_Oord(tc_bool).
% 275.15/275.20  ** KEPT (pick-wt=4): 633 [] c_fe_qual(A,A,B).
% 275.15/275.20    Following clause subsumed by 470 during input processing: 0 [copy,470,flip.1] A=A.
% 275.15/275.20  470 back subsumes 468.
% 275.15/275.20  470 back subsumes 466.
% 275.15/275.20  470 back subsumes 464.
% 275.15/275.20  470 back subsumes 463.
% 275.15/275.20  470 back subsumes 462.
% 275.15/275.20  470 back subsumes 456.
% 275.15/275.20  470 back subsumes 449.
% 275.15/275.20  470 back subsumes 435.
% 275.15/275.20  470 back subsumes 432.
% 275.15/275.20  470 back subsumes 431.
% 275.15/275.20  >>>> Starting back demodulation with 472.
% 275.15/275.20    Following clause subsumed by 473 during input processing: 0 [copy,473,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 275.15/275.20  >>>> Starting back demodulation with 475.
% 275.15/275.20  >>>> Starting back demodulation with 477.
% 275.15/275.20      >> back demodulating 454 with 477.
% 275.15/275.20      >> back demodulating 444 with 477.
% 275.15/275.20      >> back demodulating 443 with 477.
% 275.15/275.20      >> back demodulating 429 with 477.
% 275.15/275.20      >> back demodulating 428 with 477.
% 275.15/275.20      >> back demodulating 412 with 477.
% 275.15/275.20      >> back demodulating 401 with 477.
% 275.15/275.20      >> back demodulating 391 with 477.
% 275.15/275.20      >> back demodulating 379 with 477.
% 275.15/275.20      >> back demodulating 374 with 477.
% 275.15/275.20      >> back demodulating 358 with 477.
% 275.15/275.20      >> back demodulating 357 with 477.
% 275.15/275.20      >> back demodulating 356 with 477.
% 275.15/275.20      >> back demodulating 354 with 477.
% 275.15/275.20      >> back demodulating 349 with 477.
% 275.15/275.20      >> back demodulating 348 with 477.
% 275.15/275.20      >> back demodulating 331 with 477.
% 275.15/275.20      >> back demodulating 328 with 477.
% 275.15/275.20      >> back demodulating 316 with 477.
% 275.15/275.20      >> back demodulating 315 with 477.
% 275.15/275.20      >> back demodulating 298 with 477.
% 275.15/275.20      >> back demodulating 264 with 477.
% 275.15/275.20      >> back demodulating 263 with 477.
% 275.15/275.20      >> back demodulating 235 with 477.
% 275.15/275.20      >> back demodulating 234 with 477.
% 275.15/275.20      >> back demodulating 233 with 477.
% 275.15/275.20      >> back demodulating 232 with 477.
% 275.15/275.20      >> back demodulating 231 with 477.
% 275.15/275.20      >> back demodulating 230 with 477.
% 275.15/275.20      >> back demodulating 229 with 477.
% 275.15/275.20      >> back demodulating 228 with 477.
% 275.15/275.20      >> back demodulating 227 with 477.
% 275.15/275.20      >> back demodulating 226 with 477.
% 275.15/275.20      >> back demodulating 201 with 477.
% 275.15/275.20      >> back demodulating 200 with 477.
% 275.15/275.20      >> back demodulating 199 with 477.
% 275.15/275.20      >> back demodulating 198 with 477.
% 275.15/275.20      >> back demodulating 197 with 477.
% 275.15/275.20      >> back demodulating 165 with 477.
% 275.15/275.20      >> back demodulating 164 with 477.
% 275.15/275.20      >> back demodulating 85 with 477.
% 275.15/275.20      >> back demodulating 84 with 477.
% 275.15/275.20      >> back demodulating 73 with 477.
% 275.15/275.20      >> back demodulating 72 with 477.
% 275.15/275.20      >> back demodulating 71 with 477.
% 275.15/275.20      >> back demodulating 63 with 477.
% 275.15/275.20      >> back demodulating 45 with 477.
% 275.15/275.20      >> back demodulating 44 with 477.
% 275.15/275.20      >> back demodulating 16 with 477.
% 275.15/275.20    Following clause subsumed by 488 during input processing: 0 [copy,479,flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 275.15/275.20  >>>> Starting back demodulation with 482.
% 275.15/275.20  ** KEPT (pick-wt=25): 674 [copy,483,flip.1] c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(D,tc_bool)),C,D).
% 275.15/275.20    Following clause subsumed by 488 during input processing: 0 [copy,488,flip.1] c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 275.15/275.20  488 back subsumes 479.
% 275.15/275.20  >>>> Starting back demodulation with 491.
% 275.15/275.20      >> back demodulating 481 with 491.
% 275.15/275.20  >>>> Starting back demodulation with 498.
% 275.15/275.20  >>>> Starting back demodulation with 501.
% 275.15/275.20  >>>> Starting back demodulation with 503.
% 275.15/275.20      >> back demodulating 451 with 503.
% 275.15/275.20  ** KEPT (pick-wt=10): 675 [copy,504,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 275.15/275.20  >>>> Starting back demodulation with 509.
% 275.15/275.20      >> back demodulating 497 with 509.
% 275.15/275.20      >> back demodulating 474 with 509.
% 275.15/275.20  >>>> Starting back demodulation with 511.
% 275.15/275.20      >> back demodulating 490 with 511.
% 275.15/275.20  >>>> Starting back demodulation with 517.
% 275.15/275.20      >> back demodulating 294 with 517.
% 275.15/275.20  ** KEPT (pick-wt=27): 676 [copy,518,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 275.15/275.20  ** KEPT (pick-wt=27): 677 [copy,519,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 275.15/275.20    Following clause subsumed by 599 during input processing: 0 [copy,520,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(c_COMBK(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 275.15/275.20  >>>> Starting back demodulation with 525.
% 275.15/275.20      >> back demodulating 251 with 525.
% 275.15/275.20  ** KEPT (pick-wt=17): 678 [copy,527,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 275.15/275.20  >>>> Starting back demodulation with 532.
% 275.15/275.20  ** KEPT (pick-wt=13): 679 [copy,534,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Ovimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),A,C).
% 275.15/275.20  >>>> Starting back demodulation with 536.
% 275.15/275.20  ** KEPT (pick-wt=11): 680 [copy,537,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 275.15/275.20  >>>> Starting back demodulation with 539.
% 275.15/275.20  ** KEPT (pick-wt=17): 681 [copy,544,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat).
% 275.15/275.20  551 back subsumes 548.
% 275.15/275.20  >>>> Starting back demodulation with 553.
% 275.15/275.20  ** KEPT (pick-wt=7): 682 [copy,554,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(A,A,tc_nat).
% 275.15/275.20  ** KEPT (pick-wt=15): 683 [copy,555,flip.1] c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat).
% 275.15/275.20  >>>> Starting back demodulation with 557.
% 275.15/275.20  >>>> Starting back demodulation with 559.
% 275.15/275.20  >>>> Starting back demodulation with 561.
% 275.15/275.20  >>>> Starting back demodulation with 563.
% 275.15/275.20      >> back demodulating 531 with 563.
% 275.15/275.20      >> back demodulating 276 with 563.
% 275.15/275.20  >>>> Starting back demodulation with 565.
% 275.15/275.20      >> back demodulating 268 with 565.
% 275.15/275.20  573 back subsumes 465.
% 275.15/275.20  574 back subsumes 452.
% 275.15/275.20  >>>> Starting back demodulation with 580.
% 275.15/275.20      >> back demodulating 403 with 580.
% 275.15/275.20  >>>> Starting back demodulation with 584.
% 275.15/275.20      >> back demodulating 461 with 584.
% 275.15/275.20      >> back demodulating 460 with 584.
% 275.15/275.20      >> back demodulating 459 with 584.
% 275.15/275.20      >> back demodulating 458 with 584.
% 275.15/275.20  586 back subsumes 575.
% 275.15/275.20    Following clause subsumed by 587 during input processing: 0 [copy,587,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 275.15/275.20  >>>> Starting back demodulation with 590.
% 275.15/275.20    Following clause subsumed by 599 during input processing: 0 [copy,591,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 275.15/275.20  591 back subsumes 520.
% 275.15/275.20    Following clause subsumed by 593 during input processing: 0 [copy,593,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 275.15/275.20  >>>> Starting back demodulation with 598.
% 275.15/275.20    Following clause subsumed by 591 during input processing: 0 [copy,599,flip.1] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 275.15/275.20  >>>> Starting back demodulation with 606.
% 276.45/276.51  ** KEPT (pick-wt=8): 689 [copy,657,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)!=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 276.45/276.51    Following clause subsumed by 483 during input processing: 0 [copy,674,flip.1] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 276.45/276.51    Following clause subsumed by 504 during input processing: 0 [copy,675,flip.1] c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 276.45/276.51    Following clause subsumed by 518 during input processing: 0 [copy,676,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 276.45/276.51    Following clause subsumed by 519 during input processing: 0 [copy,677,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 276.45/276.51    Following clause subsumed by 527 during input processing: 0 [copy,678,flip.1] c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat).
% 276.45/276.51    Following clause subsumed by 534 during input processing: 0 [copy,679,flip.1] c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 276.45/276.51    Following clause subsumed by 537 during input processing: 0 [copy,680,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 276.45/276.51    Following clause subsumed by 544 during input processing: 0 [copy,681,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 276.45/276.51    Following clause subsumed by 554 during input processing: 0 [copy,682,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 276.45/276.51    Following clause subsumed by 555 during input processing: 0 [copy,683,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 276.45/276.51    Following clause subsumed by 657 during input processing: 0 [copy,689,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 276.45/276.51  
% 276.45/276.51  ======= end of input processing =======
% 276.45/276.51  
% 276.45/276.51  =========== start of search ===========
% 276.45/276.51  
% 276.45/276.51  
% 276.45/276.51  Resetting weight limit to 2.
% 276.45/276.51  
% 276.45/276.51  
% 276.45/276.51  Resetting weight limit to 2.
% 276.45/276.51  
% 276.45/276.51  sos_size=160
% 276.45/276.51  
% 276.45/276.51  Search stopped because sos empty.
% 276.45/276.51  
% 276.45/276.51  
% 276.45/276.51  Search stopped because sos empty.
% 276.45/276.51  
% 276.45/276.51  ============ end of search ============
% 276.45/276.51  
% 276.45/276.51  -------------- statistics -------------
% 276.45/276.51  clauses given                161
% 276.45/276.51  clauses generated         127014
% 276.45/276.51  clauses kept                 626
% 276.45/276.51  clauses forward subsumed     162
% 276.45/276.51  clauses back subsumed         20
% 276.45/276.51  Kbytes malloced             9765
% 276.45/276.51  
% 276.45/276.51  ----------- times (seconds) -----------
% 276.45/276.51  user CPU time          1.39          (0 hr, 0 min, 1 sec)
% 276.45/276.51  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 276.45/276.51  wall-clock time      276             (0 hr, 4 min, 36 sec)
% 276.45/276.51  
% 276.45/276.51  Process 5727 finished Wed Jul 27 06:12:12 2022
% 276.45/276.51  Otter interrupted
% 276.45/276.51  PROOF NOT FOUND
%------------------------------------------------------------------------------