%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV886-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n018.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   : Timeout 286.87s 286.95s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV886-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 06:12:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 285.57/285.66  ----- Otter 3.3f, August 2004 -----
% 285.57/285.66  The process was started by sandbox2 on n018.cluster.edu,
% 285.57/285.66  Wed Jul 27 06:12:46 2022
% 285.57/285.66  The command was "./otter".  The process ID is 18251.
% 285.57/285.66  
% 285.57/285.66  set(prolog_style_variables).
% 285.57/285.66  set(auto).
% 285.57/285.66     dependent: set(auto1).
% 285.57/285.66     dependent: set(process_input).
% 285.57/285.66     dependent: clear(print_kept).
% 285.57/285.66     dependent: clear(print_new_demod).
% 285.57/285.66     dependent: clear(print_back_demod).
% 285.57/285.66     dependent: clear(print_back_sub).
% 285.57/285.66     dependent: set(control_memory).
% 285.57/285.66     dependent: assign(max_mem, 12000).
% 285.57/285.66     dependent: assign(pick_given_ratio, 4).
% 285.57/285.66     dependent: assign(stats_level, 1).
% 285.57/285.66     dependent: assign(max_seconds, 10800).
% 285.57/285.66  clear(print_given).
% 285.57/285.66  
% 285.57/285.66  list(usable).
% 285.57/285.66  0 [] A=A.
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  0 [] -c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 285.57/285.66  0 [] -c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 285.57/285.66  0 [] hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 285.57/285.66  0 [] -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 285.57/285.66  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)).
% 285.57/285.66  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)).
% 285.57/285.66  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).
% 285.57/285.66  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)).
% 285.57/285.66  0 [] -c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.57/285.66  0 [] -c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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).
% 285.57/285.66  0 [] c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=V_m.
% 285.57/285.66  0 [] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)=V_n.
% 285.57/285.66  0 [] V_x=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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)).
% 285.57/285.66  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).
% 285.57/285.66  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)).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  0 [] V_m=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))| -c_Ring__and__Field_Odvd__class_Odvd(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 285.57/285.66  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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)).
% 285.57/285.66  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).
% 285.57/285.66  0 [] c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))!=V_n|c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  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.
% 285.57/285.66  0 [] c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 285.57/285.66  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 285.57/285.66  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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)).
% 285.57/285.66  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).
% 285.57/285.66  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat).
% 285.57/285.66  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat).
% 285.57/285.66  0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 285.57/285.66  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)).
% 285.57/285.66  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).
% 285.57/285.66  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.
% 285.57/285.66  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)).
% 285.57/285.66  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).
% 285.57/285.66  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)).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a).
% 285.57/285.66  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a).
% 285.57/285.66  0 [] -c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.57/285.66  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).
% 285.57/285.66  0 [] -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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.
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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.
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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)).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)|c_Divides_Odiv__class_Omod(V_a,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a).
% 285.57/285.66  0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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.
% 285.57/285.66  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).
% 285.57/285.66  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).
% 285.57/285.66  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.
% 285.57/285.66  0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a).
% 285.57/285.66  0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a).
% 285.57/285.66  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.
% 285.57/285.67  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.
% 285.57/285.67  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.
% 285.57/285.67  0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a).
% 285.57/285.67  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.
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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)).
% 285.57/285.67  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat)=c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat).
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 285.57/285.67  0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat).
% 285.57/285.67  0 [] c_Suc(V_m)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.57/285.67  0 [] c_Suc(V_nat_H)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_m).
% 285.57/285.67  0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_nat_H).
% 285.57/285.67  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)).
% 285.57/285.67  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)).
% 285.57/285.67  0 [] c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat)=c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))|c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))=V_n.
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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)).
% 285.57/285.67  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 285.57/285.67  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.
% 285.57/285.67  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.
% 285.57/285.67  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.
% 285.57/285.67  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.
% 285.57/285.67  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 285.57/285.67  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 285.57/285.67  0 [] c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 285.57/285.67  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)).
% 285.57/285.67  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.
% 285.57/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_k,tc_nat).
% 285.57/285.67  0 [] -c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.57/285.67  0 [] -c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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)).
% 285.57/285.67  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)).
% 285.57/285.67  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)).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 285.57/285.67  0 [] c_Suc(V_n)=c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.57/285.67  0 [] c_Suc(V_n)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a)=c_Divides_Odiv__class_Omod(V_a,V_b,T_a).
% 285.57/285.67  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)).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat).
% 285.57/285.67  0 [] c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat).
% 285.57/285.67  0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat).
% 285.57/285.67  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 285.57/285.67  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)).
% 285.57/285.67  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)).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)=c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_lesse_quals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 285.57/285.67  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.
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)!=V_m|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.57/285.67  0 [] V_x!=c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)|V_a=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.57/285.67  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.
% 285.57/285.67  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)).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_HOL_Oone__class_Oone(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)|c_Divides_Odiv__class_Omod(V_a,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a).
% 285.57/285.67  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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)).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 285.57/285.67  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.
% 285.57/285.67  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)).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 285.57/285.67  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).
% 285.57/285.67  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 285.57/285.67  0 [] c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.57/285.67  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).
% 285.57/285.67  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)).
% 285.57/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 285.57/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat).
% 285.57/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat).
% 285.57/285.67  0 [] c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)=V_m| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 285.57/285.67  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)).
% 285.57/285.67  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)).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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.
% 285.57/285.67  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)).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.57/285.67  0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.57/285.67  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).
% 285.57/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(V_x,V_y,tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat).
% 285.60/285.67  0 [] V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  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)).
% 285.60/285.67  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)).
% 285.60/285.67  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)).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  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.
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat).
% 285.60/285.67  0 [] c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=V_m.
% 285.60/285.67  0 [] c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat)=V_m.
% 285.60/285.67  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat)=V_m.
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)| -c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 285.60/285.67  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(c_Suc(V_m),V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 285.60/285.67  0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat).
% 285.60/285.67  0 [] -c_lesse_quals(V_x,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_Finite__Set_Ocard(V_A,T_a)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Finite__Set_Ofinite(V_A,T_a).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=V_n.
% 285.60/285.67  0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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.
% 285.60/285.67  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).
% 285.60/285.67  0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_nat).
% 285.60/285.67  0 [] -c_HOL_Oord__class_Oless(V_n,V_n,tc_nat).
% 285.60/285.67  0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 285.60/285.67  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 285.60/285.67  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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.
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  0 [] V_x=V_y| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.60/285.67  0 [] V_x=V_y| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.60/285.67  0 [] -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)|V_x=V_y| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.60/285.67  0 [] V_m=V_n| -c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat).
% 285.60/285.67  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.
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  0 [] V_x=V_y| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat).
% 285.60/285.67  0 [] -c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)|V_a=V_b| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat).
% 285.60/285.67  0 [] -c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)|V_a=V_b.
% 285.60/285.67  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.
% 285.60/285.67  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.
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] -c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 285.60/285.67  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a).
% 285.60/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_x,V_x,tc_nat).
% 285.60/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.60/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a).
% 285.60/285.67  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).
% 285.60/285.67  0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.60/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a)=c_Divides_Odiv__class_Omod(V_a,V_b,T_a).
% 285.60/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a)=c_Divides_Odiv__class_Omod(V_a,V_b,T_a).
% 285.60/285.67  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).
% 285.60/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat).
% 285.60/285.67  0 [] -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat).
% 285.60/285.67  0 [] c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] -hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|hBOOL(hAPP(V_P,V_n)).
% 285.60/285.67  0 [] -hBOOL(hAPP(V_P,V_n))|hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 285.60/285.67  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  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)).
% 285.60/285.67  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))).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  0 [] V_m=c_HOL_Oone__class_Oone(tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a).
% 285.60/285.67  0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_lesse_quals(V_k,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.60/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat).
% 285.60/285.67  0 [] c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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)).
% 285.60/285.67  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 285.60/285.67  0 [] c_lesse_quals(V_n,V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a).
% 285.60/285.67  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a).
% 285.60/285.67  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 285.60/285.67  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 285.60/285.67  0 [] c_lesse_quals(V_x,V_x,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_lesse_quals(V_n,V_n,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] V_n!=c_Suc(V_n).
% 285.60/285.67  0 [] c_Suc(V_n)!=V_n.
% 285.60/285.67  0 [] -c_lesse_quals(c_Suc(V_n),V_n,tc_nat).
% 285.60/285.67  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 285.60/285.67  0 [] c_lesse_quals(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] V_m=V_n| -c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 285.60/285.67  0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 285.60/285.67  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 285.60/285.67  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).
% 285.60/285.67  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 285.60/285.67  0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a).
% 285.60/285.67  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)).
% 285.60/285.67  0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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.
% 285.60/285.67  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.
% 285.60/285.67  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.
% 285.60/285.67  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] -c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 285.60/285.67  0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 285.60/285.67  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 285.60/285.67  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).
% 285.60/285.67  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.
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a).
% 285.60/285.67  0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_n),tc_nat).
% 285.60/285.67  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).
% 285.60/285.67  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_Finite__Set_Ofinite(v_U,tc_Com_Opname).
% 285.60/285.67  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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] c_in(v_pn,v_U,tc_Com_Opname).
% 285.60/285.67  0 [] -c_in(hAPP(v_mgt__call,v_pn),v_G,t_a).
% 285.60/285.67  0 [] c_Finite__Set_Ofinite(v_G,t_a).
% 285.60/285.67  0 [] c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_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).
% 285.60/285.67  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).
% 285.60/285.67  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 285.60/285.67  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 285.60/285.67  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 285.60/285.67  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 285.60/285.67  0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 285.60/285.67  0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 285.60/285.67  0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 285.60/285.67  0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 285.60/285.67  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 285.60/285.67  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 285.60/285.67  0 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 285.60/285.67  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 285.60/285.67  0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 285.60/285.67  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 285.60/285.67  0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 285.60/285.67  0 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 285.60/285.67  0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 285.60/285.67  0 [] class_Divides_Osemiring__div(tc_nat).
% 285.60/285.67  0 [] class_Nat_Osemiring__char__0(tc_nat).
% 285.60/285.67  0 [] class_Orderings_Opreorder(tc_nat).
% 285.60/285.67  0 [] class_Orderings_Olinorder(tc_nat).
% 285.60/285.67  0 [] class_Orderings_Oorder(tc_nat).
% 285.60/285.67  0 [] class_Orderings_Obot(tc_nat).
% 285.60/285.67  0 [] class_HOL_Oord(tc_nat).
% 285.60/285.67  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 285.60/285.67  0 [] class_Orderings_Opreorder(tc_bool).
% 285.60/285.67  0 [] class_Orderings_Oorder(tc_bool).
% 285.60/285.67  0 [] class_Orderings_Obot(tc_bool).
% 285.60/285.67  0 [] class_HOL_Oord(tc_bool).
% 285.60/285.67  0 [] c_fe_qual(V_x,V_x,T_a).
% 285.60/285.67  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 285.60/285.67  end_of_list.
% 285.60/285.67  
% 285.60/285.67  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 285.60/285.67  
% 285.60/285.67  This ia a non-Horn set with equality.  The strategy will be
% 285.60/285.67  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 285.60/285.67  deletion, with positive clauses in sos and nonpositive
% 285.60/285.67  clauses in usable.
% 285.60/285.67  
% 285.60/285.67     dependent: set(knuth_bendix).
% 285.60/285.67     dependent: set(anl_eq).
% 285.60/285.67     dependent: set(para_from).
% 285.60/285.67     dependent: set(para_into).
% 285.60/285.67     dependent: clear(para_from_right).
% 285.60/285.67     dependent: clear(para_into_right).
% 285.60/285.67     dependent: set(para_from_vars).
% 285.60/285.67     dependent: set(eq_units_both_ways).
% 285.60/285.67     dependent: set(dynamic_demod_all).
% 285.60/285.67     dependent: set(dynamic_demod).
% 285.60/285.67     dependent: set(order_eq).
% 285.60/285.67     dependent: set(back_demod).
% 285.60/285.67     dependent: set(lrpo).
% 285.60/285.67     dependent: set(hyper_res).
% 285.60/285.67     dependent: set(unit_deletion).
% 285.60/285.67     dependent: set(factor).
% 285.60/285.67  
% 285.60/285.67  ------------> process usable:
% 285.60/285.67  ** KEPT (pick-wt=23): 1 [] 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.
% 285.60/285.67    Following clause subsumed by 1 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.
% 285.60/285.67    Following clause subsumed by 1 during input processing: 0 [] 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).
% 285.60/285.67  ** KEPT (pick-wt=13): 2 [] c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C).
% 285.60/285.67  ** KEPT (pick-wt=13): 3 [] -c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C).
% 285.60/285.67  ** KEPT (pick-wt=7): 4 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 285.60/285.67    Following clause subsumed by 4 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 285.60/285.67    Following clause subsumed by 4 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 285.60/285.67    Following clause subsumed by 4 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 285.60/285.67  ** KEPT (pick-wt=14): 5 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 285.60/285.67    Following clause subsumed by 5 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 285.60/285.67    Following clause subsumed by 5 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 285.60/285.67    Following clause subsumed by 5 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 285.60/285.67  ** KEPT (pick-wt=16): 6 [] -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 285.60/285.67    Following clause subsumed by 6 during input processing: 0 [] -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 285.60/285.67  ** KEPT (pick-wt=15): 7 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=15): 8 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=13): 9 [] 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).
% 285.60/285.67  ** KEPT (pick-wt=13): 10 [] 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).
% 285.60/285.67  ** KEPT (pick-wt=20): 11 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=20): 12 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=9): 13 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 285.60/285.67  ** KEPT (pick-wt=9): 14 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 285.60/285.67  ** KEPT (pick-wt=9): 15 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 285.60/285.67  ** KEPT (pick-wt=9): 16 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 285.60/285.67  ** KEPT (pick-wt=9): 17 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 285.60/285.67  ** KEPT (pick-wt=11): 19 [copy,18,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.
% 285.60/285.67  ** KEPT (pick-wt=9): 20 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 285.60/285.67    Following clause subsumed by 13 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.
% 285.60/285.67  ** KEPT (pick-wt=9): 21 [] -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).
% 285.60/285.67    Following clause subsumed by 21 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).
% 285.60/285.67  ** KEPT (pick-wt=32): 22 [] 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)).
% 285.60/285.67  ** KEPT (pick-wt=12): 23 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=16): 24 [] 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)).
% 285.60/285.67  ** KEPT (pick-wt=10): 25 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=11): 26 [] A=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))| -c_Ring__and__Field_Odvd__class_Odvd(A,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 285.60/285.67  ** KEPT (pick-wt=17): 27 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 285.60/285.67  ** KEPT (pick-wt=9): 28 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=23): 29 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=17): 30 [] 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)).
% 285.60/285.67  ** KEPT (pick-wt=17): 31 [] 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).
% 285.60/285.67  ** KEPT (pick-wt=15): 32 [] c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat))!=B|c_Divides_Odiv__class_Omod(c_Suc(A),B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.67  ** KEPT (pick-wt=14): 33 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 285.60/285.67  ** KEPT (pick-wt=14): 34 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 285.60/285.67  ** KEPT (pick-wt=14): 35 [] -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.
% 285.60/285.67  ** KEPT (pick-wt=16): 36 [] -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.
% 285.60/285.67  ** KEPT (pick-wt=12): 37 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 285.60/285.67  ** KEPT (pick-wt=12): 38 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(C,B,tc_nat)|A=C.
% 285.60/285.67    Following clause subsumed by 37 during input processing: 0 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 285.60/285.67  ** KEPT (pick-wt=20): 39 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=20): 40 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=13): 41 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 285.60/285.67  ** KEPT (pick-wt=13): 42 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 285.60/285.67  ** KEPT (pick-wt=11): 43 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(A),B,A).
% 285.60/285.67  ** KEPT (pick-wt=20): 44 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=9): 45 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=14): 46 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=13): 47 [] -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.
% 285.60/285.67  ** KEPT (pick-wt=17): 48 [] 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)).
% 285.60/285.67  ** KEPT (pick-wt=17): 49 [] 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).
% 285.60/285.67  ** KEPT (pick-wt=25): 50 [] -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)).
% 285.60/285.67  ** KEPT (pick-wt=7): 51 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 285.60/285.67  ** KEPT (pick-wt=9): 52 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=20): 53 [] -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).
% 285.60/285.67  ** KEPT (pick-wt=20): 55 [copy,54,flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 285.60/285.67  ** KEPT (pick-wt=20): 57 [copy,56,flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 285.60/285.67    Following clause subsumed by 6 during input processing: 0 [] -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 285.60/285.67    Following clause subsumed by 1 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).
% 285.60/285.67    Following clause subsumed by 4 during input processing: 0 [] -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 285.60/285.67  ** KEPT (pick-wt=17): 58 [] 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).
% 285.60/285.67    Following clause subsumed by 58 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).
% 285.60/285.67  ** KEPT (pick-wt=13): 59 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 285.60/285.67    Following clause subsumed by 59 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 285.60/285.67  ** KEPT (pick-wt=13): 60 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 285.60/285.67    Following clause subsumed by 60 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 285.60/285.67    Following clause subsumed by 60 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 285.60/285.67    Following clause subsumed by 60 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 285.60/285.67  ** KEPT (pick-wt=13): 61 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 285.60/285.68    Following clause subsumed by 61 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 285.60/285.68  ** KEPT (pick-wt=20): 62 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=14): 63 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=14): 64 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=14): 65 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=14): 66 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=16): 67 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=16): 68 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=16): 69 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=16): 70 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=16): 71 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=16): 72 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=10): 73 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 285.60/285.68  ** KEPT (pick-wt=10): 74 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 285.60/285.68  ** KEPT (pick-wt=14): 75 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 285.60/285.68  ** KEPT (pick-wt=7): 76 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 285.60/285.68  ** KEPT (pick-wt=20): 77 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=10): 78 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 285.60/285.68  ** KEPT (pick-wt=10): 79 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 285.60/285.68    Following clause subsumed by 78 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 285.60/285.68  ** KEPT (pick-wt=10): 80 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 285.60/285.68    Following clause subsumed by 78 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 285.60/285.68    Following clause subsumed by 80 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 285.60/285.68    Following clause subsumed by 78 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 285.60/285.68  ** KEPT (pick-wt=10): 81 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 285.60/285.68  ** KEPT (pick-wt=16): 82 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 285.60/285.68  ** KEPT (pick-wt=17): 83 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=17): 84 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=19): 85 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=19): 86 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=35): 87 [] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)!=c_Divides_Odiv__class_Omod(D,C,A)|c_Divides_Odiv__class_Omod(E,C,A)!=c_Divides_Odiv__class_Omod(F,C,A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(E,B,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(F,D,A),C,A).
% 285.60/285.68  ** KEPT (pick-wt=17): 88 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ominus__class_Ominus(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 285.60/285.68  ** KEPT (pick-wt=11): 89 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=9): 90 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 285.60/285.68  ** KEPT (pick-wt=9): 91 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 285.60/285.68    Following clause subsumed by 90 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 285.60/285.68  ** KEPT (pick-wt=9): 92 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 285.60/285.68  ** KEPT (pick-wt=11): 93 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A)=B.
% 285.60/285.68  ** KEPT (pick-wt=20): 95 [copy,94,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 285.60/285.68  ** KEPT (pick-wt=20): 97 [copy,96,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,C,A),D,A).
% 285.60/285.68  ** KEPT (pick-wt=14): 98 [] -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.
% 285.60/285.68  ** KEPT (pick-wt=12): 99 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 285.60/285.68  ** KEPT (pick-wt=12): 100 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 285.60/285.68  ** KEPT (pick-wt=23): 102 [copy,101,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(B,C,A),c_Divides_Odiv__class_Omod(D,C,A),A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 285.60/285.68  ** KEPT (pick-wt=11): 103 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=B.
% 285.60/285.68  ** KEPT (pick-wt=21): 104 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=12): 105 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 285.60/285.68    Following clause subsumed by 105 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 285.60/285.68  ** KEPT (pick-wt=14): 106 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=14): 107 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=11): 108 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 285.60/285.68  ** KEPT (pick-wt=34): 109 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=29): 110 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=9): 111 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=9): 112 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=13): 113 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=5): 114 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.68    Following clause subsumed by 114 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=12): 115 [] A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=12): 116 [] A=B| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 285.60/285.68    Following clause subsumed by 115 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).
% 285.60/285.68    Following clause subsumed by 114 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.68    Following clause subsumed by 114 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=13): 117 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)|c_Suc(A)=B| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=9): 118 [] -c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=10): 119 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=10): 120 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat).
% 285.60/285.68    Following clause subsumed by 119 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).
% 285.60/285.68  ** KEPT (pick-wt=25): 121 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=18): 122 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=18): 123 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=9): 124 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 285.60/285.68  ** KEPT (pick-wt=27): 125 [] 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.
% 285.60/285.68  ** KEPT (pick-wt=27): 126 [] 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.
% 285.60/285.68  ** KEPT (pick-wt=27): 127 [] 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.
% 285.60/285.68  ** KEPT (pick-wt=27): 128 [] 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.
% 285.60/285.68  ** KEPT (pick-wt=9): 129 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 285.60/285.68  ** KEPT (pick-wt=12): 130 [] c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(A,B,tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=20): 131 [] -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.
% 285.60/285.68  ** KEPT (pick-wt=5): 132 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.60/285.68    Following clause subsumed by 132 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=18): 133 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=17): 134 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=17): 135 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=17): 136 [] -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).
% 285.60/285.68    Following clause subsumed by 134 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).
% 285.60/285.68  ** KEPT (pick-wt=17): 137 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=17): 138 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=17): 139 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=17): 140 [] -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).
% 285.60/285.68    Following clause subsumed by 134 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).
% 285.60/285.68  ** KEPT (pick-wt=14): 141 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=14): 142 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=20): 143 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=23): 145 [copy,144,flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),c_Divides_Odiv__class_Omod(D,C,A),A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 285.60/285.68  ** KEPT (pick-wt=17): 147 [copy,146,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).
% 285.60/285.68  ** KEPT (pick-wt=11): 148 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=30): 149 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=30): 150 [] 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)).
% 285.60/285.68    Following clause subsumed by 150 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)).
% 285.60/285.68  ** KEPT (pick-wt=15): 151 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=15): 152 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=10): 153 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=10): 154 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 285.60/285.68  ** KEPT (pick-wt=14): 155 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,A),C,A)=c_Divides_Odiv__class_Omod(B,C,A).
% 285.60/285.68  ** KEPT (pick-wt=20): 156 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=15): 157 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=20): 158 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=20): 159 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=11): 160 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=11): 161 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=11): 162 [] 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).
% 285.60/285.68    Following clause subsumed by 160 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).
% 285.60/285.68    Following clause subsumed by 161 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).
% 285.60/285.68  ** KEPT (pick-wt=17): 163 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A).
% 285.60/285.68  ** KEPT (pick-wt=17): 164 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 285.60/285.68    Following clause subsumed by 163 during input processing: 0 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 285.60/285.68    Following clause subsumed by 164 during input processing: 0 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 285.60/285.68  ** KEPT (pick-wt=9): 165 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 285.60/285.68  ** KEPT (pick-wt=9): 166 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 285.60/285.68  ** KEPT (pick-wt=11): 167 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 285.60/285.68  ** KEPT (pick-wt=11): 168 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 285.60/285.68  ** KEPT (pick-wt=17): 169 [] 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).
% 285.60/285.68    Following clause subsumed by 167 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).
% 285.60/285.68  ** KEPT (pick-wt=12): 170 [] c_lesse_quals(c_Divides_Odiv__class_Omod(A,B,tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=12): 171 [] -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.
% 285.60/285.68  ** KEPT (pick-wt=14): 173 [copy,172,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).
% 285.60/285.68  ** KEPT (pick-wt=10): 174 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.68    Following clause subsumed by 174 during input processing: 0 [flip.1] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=23): 175 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=23): 176 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=11): 177 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=11): 178 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=13): 179 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=35): 180 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)!=c_Divides_Odiv__class_Omod(D,C,A)|c_Divides_Odiv__class_Omod(E,C,A)!=c_Divides_Odiv__class_Omod(F,C,A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,B,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(F,D,A),C,A).
% 285.60/285.68  ** KEPT (pick-wt=15): 181 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=15): 182 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=15): 183 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=15): 184 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=18): 185 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=16): 186 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=8): 187 [] -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).
% 285.60/285.68    Following clause subsumed by 51 during input processing: 0 [flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 285.60/285.68  ** KEPT (pick-wt=13): 188 [] -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.
% 285.60/285.68  ** KEPT (pick-wt=20): 189 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=20): 190 [] -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).
% 285.60/285.68  ** KEPT (pick-wt=7): 191 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ozero__class_Ozero(A),A).
% 285.60/285.68  ** KEPT (pick-wt=8): 192 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oone__class_Oone(A),A).
% 285.60/285.68  ** KEPT (pick-wt=7): 193 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 285.60/285.68  ** KEPT (pick-wt=28): 194 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=10): 195 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,c_HOL_Oone__class_Oone(A),A)=c_HOL_Ozero__class_Ozero(A).
% 285.60/285.68  ** KEPT (pick-wt=11): 196 [] c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=11): 197 [] c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=10): 198 [] c_Divides_Odiv__class_Omod(A,B,tc_nat)=A| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=15): 199 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=15): 200 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=13): 201 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D).
% 285.60/285.68  ** KEPT (pick-wt=18): 202 [] 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.
% 285.60/285.68  ** KEPT (pick-wt=15): 203 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=10): 204 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=11): 205 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lesse_quals(A,B,tc_nat).
% 285.60/285.68    Following clause subsumed by 205 during input processing: 0 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 285.60/285.68    Following clause subsumed by 205 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lesse_quals(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=14): 206 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=14): 207 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=14): 208 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=8): 209 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.68    Following clause subsumed by 209 during input processing: 0 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=9): 210 [] A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=18): 211 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=11): 212 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=11): 213 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=11): 214 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(C,A,tc_nat),B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=11): 215 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat).
% 285.60/285.68    Following clause subsumed by 212 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).
% 285.60/285.68    Following clause subsumed by 213 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).
% 285.60/285.68  ** KEPT (pick-wt=13): 216 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=14): 217 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=20): 218 [] -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)).
% 285.60/285.68    Following clause subsumed by 218 during input processing: 0 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=16): 219 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=16): 220 [] 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)).
% 285.60/285.68  ** KEPT (pick-wt=17): 221 [] 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.
% 285.60/285.68  ** KEPT (pick-wt=11): 222 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=15): 223 [] c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 285.60/285.68  ** KEPT (pick-wt=18): 224 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=14): 225 [] -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,tc_nat),B,tc_nat)))|hBOOL(hAPP(A,C)).
% 285.60/285.68    Following clause subsumed by 225 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)).
% 285.60/285.68  ** KEPT (pick-wt=26): 226 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=41): 227 [] 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).
% 285.60/285.68  ** KEPT (pick-wt=43): 228 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=26): 229 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=29): 230 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=14): 231 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=14): 232 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=19): 233 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=20): 234 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=13): 235 [] A=B| -c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 285.60/285.69    Following clause subsumed by 129 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).
% 285.60/285.69  ** KEPT (pick-wt=13): 236 [] c_in(A,B,C)| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 285.60/285.69    Following clause subsumed by 199 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).
% 285.60/285.69  ** KEPT (pick-wt=19): 237 [] 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)).
% 285.60/285.69    Following clause subsumed by 199 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).
% 285.60/285.69    Following clause subsumed by 237 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).
% 285.60/285.69  ** KEPT (pick-wt=20): 238 [] 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)).
% 285.60/285.69  ** KEPT (pick-wt=14): 239 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=14): 240 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=19): 241 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=19): 242 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=25): 243 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=15): 244 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=16): 245 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=12): 246 [] A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=9): 247 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=9): 248 [] c_lesse_quals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.69    Following clause subsumed by 247 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 285.60/285.69    Following clause subsumed by 248 during input processing: 0 [] c_lesse_quals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=9): 249 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=9): 250 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 285.60/285.69    Following clause subsumed by 249 during input processing: 0 [] -c_lesse_quals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=25): 252 [copy,251,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).
% 285.60/285.69  ** KEPT (pick-wt=22): 253 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=26): 254 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=22): 255 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=22): 256 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=19): 257 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=19): 258 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=13): 259 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=13): 260 [] 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).
% 285.60/285.69    Following clause subsumed by 259 during input processing: 0 [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.
% 285.60/285.69  ** KEPT (pick-wt=16): 261 [] -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.
% 285.60/285.69  ** KEPT (pick-wt=4): 262 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 285.60/285.69    Following clause subsumed by 262 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=6): 263 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 285.60/285.69  ** KEPT (pick-wt=6): 264 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 285.60/285.69  ** KEPT (pick-wt=6): 265 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 285.60/285.69  ** KEPT (pick-wt=20): 266 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=8): 267 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_lesse_quals(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(A),A).
% 285.60/285.69  ** KEPT (pick-wt=13): 268 [] -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.
% 285.60/285.69  ** KEPT (pick-wt=13): 269 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 285.60/285.69  ** KEPT (pick-wt=15): 270 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 285.60/285.69  ** KEPT (pick-wt=11): 271 [] A=B| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 285.60/285.69    Following clause subsumed by 271 during input processing: 0 [] A=B| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 285.60/285.69    Following clause subsumed by 271 during input processing: 0 [] -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|B=A| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 285.60/285.69    Following clause subsumed by 271 during input processing: 0 [] A=B| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 285.60/285.69    Following clause subsumed by 270 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)).
% 285.60/285.69    Following clause subsumed by 271 during input processing: 0 [] A=B| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 285.60/285.69    Following clause subsumed by 271 during input processing: 0 [] -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|B=A| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 285.60/285.69    Following clause subsumed by 271 during input processing: 0 [] -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)|B=A.
% 285.60/285.69    Following clause subsumed by 269 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.
% 285.60/285.69    Following clause subsumed by 269 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).
% 285.60/285.69    Following clause subsumed by 269 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).
% 285.60/285.69  ** KEPT (pick-wt=13): 272 [] -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_HOL_Oord__class_Oless(B,A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=13): 273 [] 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).
% 285.60/285.69    Following clause subsumed by 273 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).
% 285.60/285.69  ** KEPT (pick-wt=20): 274 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=18): 275 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=14): 276 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(D,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 285.60/285.69  ** KEPT (pick-wt=6): 277 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,B,A).
% 285.60/285.69  ** KEPT (pick-wt=20): 278 [] c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=12): 279 [] c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=14): 280 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=14): 281 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=14): 282 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=14): 283 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=25): 284 [] -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)).
% 285.60/285.69  ** KEPT (pick-wt=8): 285 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=15): 286 [] 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)).
% 285.60/285.69  ** KEPT (pick-wt=10): 287 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=14): 288 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=14): 289 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=7): 290 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),B,A).
% 285.60/285.69    Following clause subsumed by 262 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).
% 285.60/285.69  ** KEPT (pick-wt=14): 291 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=c_Divides_Odiv__class_Omod(B,C,A).
% 285.60/285.69  ** KEPT (pick-wt=14): 292 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),B,A)=c_Divides_Odiv__class_Omod(C,B,A).
% 285.60/285.69  ** KEPT (pick-wt=18): 293 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=18): 294 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,A),D,A)=c_Divides_Odiv__class_Omod(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(D,C,A).
% 285.60/285.69  ** KEPT (pick-wt=15): 295 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=15): 296 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=7): 297 [] -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,B,tc_nat),A,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=7): 298 [] -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(A,B,tc_nat),B,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=14): 299 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=14): 300 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=16): 301 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=16): 302 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=16): 303 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=16): 304 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=16): 305 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=16): 306 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=14): 307 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=14): 308 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=14): 309 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=12): 310 [] -hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|hBOOL(hAPP(A,B)).
% 285.60/285.69  ** KEPT (pick-wt=12): 311 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 285.60/285.69  ** KEPT (pick-wt=20): 312 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=18): 313 [] 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)).
% 285.60/285.69  ** KEPT (pick-wt=16): 314 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=14): 315 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 285.60/285.69    Following clause subsumed by 315 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 285.60/285.69  ** KEPT (pick-wt=16): 316 [] 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))).
% 285.60/285.69  ** KEPT (pick-wt=42): 317 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=9): 318 [] A=c_HOL_Oone__class_Oone(tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=27): 319 [] 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)).
% 285.60/285.69  ** KEPT (pick-wt=12): 320 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=12): 321 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=17): 322 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=17): 323 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=25): 324 [] 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)).
% 285.60/285.69    Following clause subsumed by 57 during input processing: 0 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 285.60/285.69    Following clause subsumed by 55 during input processing: 0 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 285.60/285.69  ** KEPT (pick-wt=18): 325 [] 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)).
% 285.60/285.69  ** KEPT (pick-wt=16): 326 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=13): 327 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=10): 328 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 285.60/285.69  ** KEPT (pick-wt=10): 329 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 285.60/285.69    Following clause subsumed by 279 during input processing: 0 [] c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 285.60/285.69    Following clause subsumed by 279 during input processing: 0 [] c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=10): 330 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 285.60/285.69    Following clause subsumed by 330 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 285.60/285.69  ** KEPT (pick-wt=19): 331 [] 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).
% 285.60/285.69    Following clause subsumed by 257 during input processing: 0 [flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -c_lesse_quals(C,A,tc_nat).
% 285.60/285.69    Following clause subsumed by 258 during input processing: 0 [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).
% 285.60/285.69  ** KEPT (pick-wt=14): 332 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=14): 333 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=16): 335 [copy,334,flip.1] c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_nat),B,tc_nat)=c_Divides_Odiv__class_Omod(A,B,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=18): 336 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=18): 337 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=19): 338 [] c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_lesse_quals(B,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=19): 339 [] c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=11): 340 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=11): 341 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_lesse_quals(A,B,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=18): 342 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=14): 343 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=16): 344 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=26): 345 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=35): 346 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=15): 347 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=15): 348 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=27): 349 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=21): 350 [] -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).
% 285.60/285.69  ** KEPT (pick-wt=20): 351 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=17): 352 [] 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).
% 285.60/285.69    Following clause subsumed by 344 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).
% 285.60/285.69  ** KEPT (pick-wt=19): 353 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=21): 354 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=21): 355 [] 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).
% 285.60/285.69  ** KEPT (pick-wt=10): 356 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 285.60/285.69  ** KEPT (pick-wt=10): 357 [] c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=10): 358 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat).
% 285.60/285.69  ** KEPT (pick-wt=19): 359 [] -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).
% 285.60/285.70  ** KEPT (pick-wt=19): 360 [] -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).
% 285.60/285.70  ** KEPT (pick-wt=11): 361 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 285.60/285.70    Following clause subsumed by 361 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 285.60/285.70  ** KEPT (pick-wt=6): 362 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 285.60/285.70  ** KEPT (pick-wt=6): 363 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 285.60/285.70  ** KEPT (pick-wt=12): 364 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=14): 365 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 285.60/285.70  ** KEPT (pick-wt=14): 366 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 285.60/285.70  ** KEPT (pick-wt=4): 368 [copy,367,flip.1] c_Suc(A)!=A.
% 285.60/285.70    Following clause subsumed by 368 during input processing: 0 [] c_Suc(A)!=A.
% 285.60/285.70  ** KEPT (pick-wt=5): 369 [] -c_lesse_quals(c_Suc(A),A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=9): 370 [] c_lesse_quals(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=9): 371 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=17): 372 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=10): 373 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 285.60/285.70  ** KEPT (pick-wt=13): 374 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 285.60/285.70    Following clause subsumed by 374 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 285.60/285.70    Following clause subsumed by 374 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 285.60/285.70  ** KEPT (pick-wt=11): 375 [] A=B| -c_lesse_quals(B,A,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=14): 376 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C).
% 285.60/285.70  ** KEPT (pick-wt=8): 377 [] c_Suc(A)!=c_Suc(B)|A=B.
% 285.60/285.70    Following clause subsumed by 377 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 285.60/285.70  ** KEPT (pick-wt=14): 378 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=9): 379 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 285.60/285.70  ** KEPT (pick-wt=9): 380 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 285.60/285.70  ** KEPT (pick-wt=15): 382 [copy,381,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).
% 285.60/285.70  ** KEPT (pick-wt=14): 383 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 285.60/285.70  ** KEPT (pick-wt=8): 384 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)).
% 285.60/285.70  ** KEPT (pick-wt=8): 385 [] hBOOL(hAPP(A,B))| -c_in(B,A,C).
% 285.60/285.70  ** KEPT (pick-wt=18): 386 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=14): 387 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=14): 388 [] 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).
% 285.60/285.70    Following clause subsumed by 388 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).
% 285.60/285.70  ** KEPT (pick-wt=22): 389 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=14): 390 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 285.60/285.70  ** KEPT (pick-wt=14): 391 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 285.60/285.70  ** KEPT (pick-wt=20): 392 [] 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.
% 285.60/285.70  ** KEPT (pick-wt=23): 393 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=9): 394 [] -c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(B),A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=11): 395 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 285.60/285.70  ** KEPT (pick-wt=20): 396 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=20): 397 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D.
% 285.60/285.70  ** KEPT (pick-wt=10): 398 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C).
% 285.60/285.70  ** KEPT (pick-wt=15): 399 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=5): 400 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 285.60/285.70  ** KEPT (pick-wt=13): 401 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=13): 402 [] A=c_Suc(B)|c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(A,c_Suc(B),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=14): 403 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 285.60/285.70    Following clause subsumed by 403 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 285.60/285.70    Following clause subsumed by 403 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 285.60/285.70    Following clause subsumed by 403 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 285.60/285.70  ** KEPT (pick-wt=6): 404 [] -c_in(hAPP(v_mgt__call,v_pn),v_G,t_a).
% 285.60/285.70  ** KEPT (pick-wt=19): 405 [] c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_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).
% 285.60/285.70  ** KEPT (pick-wt=8): 406 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 285.60/285.70  ** KEPT (pick-wt=6): 407 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 285.60/285.70  ** KEPT (pick-wt=6): 408 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 285.60/285.70  ** KEPT (pick-wt=6): 409 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 285.60/285.70  ** KEPT (pick-wt=6): 410 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 285.60/285.70  ** KEPT (pick-wt=7): 411 [] A=B| -c_fe_qual(A,B,C).
% 285.60/285.70  80 back subsumes 79.
% 285.60/285.70  108 back subsumes 106.
% 285.60/285.70    Following clause subsumed by 129 during input processing: 0 [copy,124,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 285.60/285.70    Following clause subsumed by 124 during input processing: 0 [copy,129,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 285.60/285.70  160 back subsumes 9.
% 285.60/285.70  161 back subsumes 10.
% 285.60/285.70  199 back subsumes 22.
% 285.60/285.70  279 back subsumes 278.
% 285.60/285.70  279 back subsumes 6.
% 285.60/285.70  342 back subsumes 255.
% 285.60/285.70  
% 285.60/285.70  ------------> process sos:
% 285.60/285.70  ** KEPT (pick-wt=3): 461 [] A=A.
% 285.60/285.70  ** KEPT (pick-wt=7): 462 [] c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 285.60/285.70  ---> New Demodulator: 463 [new_demod,462] c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 285.60/285.70  ** KEPT (pick-wt=7): 464 [] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=A.
% 285.60/285.70  ---> New Demodulator: 465 [new_demod,464] c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=A.
% 285.60/285.70    Following clause subsumed by 461 during input processing: 0 [demod,463] A=A.
% 285.60/285.70  ** KEPT (pick-wt=9): 466 [] c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.70  ---> New Demodulator: 467 [new_demod,466] c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=6): 468 [] c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=20): 469 [] 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).
% 285.60/285.70  ---> New Demodulator: 470 [new_demod,469] 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).
% 285.60/285.70  ** KEPT (pick-wt=11): 471 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 285.60/285.70  ** KEPT (pick-wt=6): 472 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 285.60/285.70    Following clause subsumed by 472 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=8): 473 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 285.60/285.70  ** KEPT (pick-wt=28): 474 [] 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)).
% 285.60/285.70  ** KEPT (pick-wt=10): 475 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.70    Following clause subsumed by 461 during input processing: 0 [demod,465] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 285.60/285.70  ** KEPT (pick-wt=21): 476 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=6): 477 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 285.60/285.70  ** KEPT (pick-wt=14): 479 [copy,478,flip.1] c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat)),B,tc_nat)=c_Divides_Odiv__class_Omod(c_Suc(A),B,tc_nat).
% 285.60/285.70  ---> New Demodulator: 480 [new_demod,479] c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat)),B,tc_nat)=c_Divides_Odiv__class_Omod(c_Suc(A),B,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=5): 481 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 285.60/285.70    Following clause subsumed by 481 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=11): 483 [copy,482,flip.1] c_Suc(c_HOL_Oplus__class_Oplus(A,B,tc_nat))=c_HOL_Oplus__class_Oplus(c_Suc(A),B,tc_nat).
% 285.60/285.70  ---> New Demodulator: 484 [new_demod,483] c_Suc(c_HOL_Oplus__class_Oplus(A,B,tc_nat))=c_HOL_Oplus__class_Oplus(c_Suc(A),B,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=11): 486 [copy,485,demod,484] c_HOL_Oplus__class_Oplus(A,c_Suc(B),tc_nat)=c_HOL_Oplus__class_Oplus(c_Suc(A),B,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=18): 488 [copy,487,flip.1] c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat))=c_Divides_Odiv__class_Omod(c_Suc(A),B,tc_nat)|c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat))=B.
% 285.60/285.70  ** KEPT (pick-wt=11): 489 [] c_HOL_Oplus__class_Oplus(c_Suc(A),B,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_Suc(B),tc_nat).
% 285.60/285.70    Following clause subsumed by 481 during input processing: 0 [unit_del,262] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=9): 490 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=9): 491 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 285.60/285.70  ** KEPT (pick-wt=18): 492 [] 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)).
% 285.60/285.70  ---> New Demodulator: 493 [new_demod,492] 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)).
% 285.60/285.70  ** KEPT (pick-wt=6): 494 [] c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=15): 495 [] 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).
% 285.60/285.70  ---> New Demodulator: 496 [new_demod,495] 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).
% 285.60/285.70  ** KEPT (pick-wt=15): 497 [] 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).
% 285.60/285.70    Following clause subsumed by 461 during input processing: 0 [demod,463] c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=8): 498 [] c_Suc(A)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.60/285.70  ---> New Demodulator: 499 [new_demod,498] c_Suc(A)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=11): 501 [copy,500,demod,499] 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).
% 285.60/285.70    Following clause subsumed by 461 during input processing: 0 [demod,499,465,463,499,465] c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=11): 503 [copy,502,demod,499,496] 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).
% 285.60/285.70  ** KEPT (pick-wt=11): 505 [copy,504,demod,499,496] 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).
% 285.60/285.70    Following clause subsumed by 503 during input processing: 0 [demod,499,496] 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).
% 285.60/285.70  ** KEPT (pick-wt=9): 506 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 285.60/285.70  ** KEPT (pick-wt=27): 507 [] 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)).
% 285.60/285.70  ** KEPT (pick-wt=27): 508 [] 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)).
% 285.60/285.70  ** KEPT (pick-wt=9): 509 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=11): 510 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 285.60/285.70  ---> New Demodulator: 511 [new_demod,510] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 285.60/285.70  ** KEPT (pick-wt=11): 512 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 285.60/285.70    Following clause subsumed by 461 during input processing: 0 [demod,499,465] c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=6): 514 [copy,513,demod,499,465] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.60/285.70    Following clause subsumed by 468 during input processing: 0 [demod,499,465,499,465] c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=14): 515 [] 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)).
% 285.60/285.70  ---> New Demodulator: 516 [new_demod,515] 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)).
% 285.60/285.70  ** KEPT (pick-wt=8): 518 [copy,517,demod,499,465] c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=21): 520 [copy,519,demod,499,496,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).
% 285.60/285.70  ** KEPT (pick-wt=21): 521 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=6): 522 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=7): 523 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=7): 524 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 285.60/285.70    Following clause subsumed by 523 during input processing: 0 [] c_lesse_quals(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=5): 525 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=7): 526 [] c_lesse_quals(c_Divides_Odiv__class_Omod(A,B,tc_nat),A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=13): 527 [] 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)).
% 285.60/285.70  ** KEPT (pick-wt=13): 528 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=7): 529 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 285.60/285.70  ---> New Demodulator: 530 [new_demod,529] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 285.60/285.70  ** KEPT (pick-wt=7): 531 [] c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=15): 532 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=8): 533 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.70  ---> New Demodulator: 534 [new_demod,533] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=15): 535 [] 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).
% 285.60/285.70  ---> New Demodulator: 536 [new_demod,535] 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).
% 285.60/285.70  ** KEPT (pick-wt=15): 537 [] 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).
% 285.60/285.70  ---> New Demodulator: 538 [new_demod,537] 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).
% 285.60/285.70  ** KEPT (pick-wt=9): 539 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),B,tc_nat)=A.
% 285.60/285.70  ---> New Demodulator: 540 [new_demod,539] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),B,tc_nat)=A.
% 285.60/285.70  ** KEPT (pick-wt=9): 541 [] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),A,tc_nat)=B.
% 285.60/285.70  ---> New Demodulator: 542 [new_demod,541] c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),A,tc_nat)=B.
% 285.60/285.70  ** KEPT (pick-wt=10): 543 [] c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B).
% 285.60/285.70  ** KEPT (pick-wt=23): 545 [copy,544,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).
% 285.60/285.70  ** KEPT (pick-wt=9): 546 [] c_Finite__Set_Ocard(A,B)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Finite__Set_Ofinite(A,B).
% 285.60/285.70    Following clause subsumed by 461 during input processing: 0 [demod,499,540] A=A.
% 285.60/285.70  ** KEPT (pick-wt=11): 548 [copy,547,demod,499] 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).
% 285.60/285.70  ** KEPT (pick-wt=17): 550 [copy,549,demod,499] 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).
% 285.60/285.70    Following clause subsumed by 461 during input processing: 0 [demod,499,465,499,465,463] c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=11): 551 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 285.60/285.70    Following clause subsumed by 551 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).
% 285.60/285.70    Following clause subsumed by 551 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 285.60/285.70  ** KEPT (pick-wt=4): 552 [] c_Ring__and__Field_Odvd__class_Odvd(A,A,tc_nat).
% 285.60/285.70    Following clause subsumed by 506 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)).
% 285.60/285.70  ** KEPT (pick-wt=9): 553 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=16): 555 [copy,554,flip.1] c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_nat),B,tc_nat)=c_Divides_Odiv__class_Omod(A,B,tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=6): 556 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 285.60/285.70    Following clause subsumed by 556 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 285.60/285.70    Following clause subsumed by 461 during input processing: 0 [demod,499,465,465,499,465] c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=13): 557 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=24): 559 [copy,558,demod,499] 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).
% 285.60/285.70  ** KEPT (pick-wt=12): 561 [copy,560,demod,467,499,465,unit_del,4] 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).
% 285.60/285.70  ---> New Demodulator: 562 [new_demod,561] 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).
% 285.60/285.70  ** KEPT (pick-wt=8): 563 [] c_lesse_quals(A,B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=4): 564 [] c_lesse_quals(A,A,tc_nat).
% 285.60/285.70    Following clause subsumed by 564 during input processing: 0 [] c_lesse_quals(A,A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=7): 565 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 285.60/285.70  ** KEPT (pick-wt=19): 567 [copy,566,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).
% 285.60/285.70  ---> New Demodulator: 568 [new_demod,567] 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).
% 285.60/285.70    Following clause subsumed by 461 during input processing: 0 [demod,499,499,536] c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ominus__class_Ominus(A,B,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=12): 569 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 285.60/285.70  ---> New Demodulator: 570 [new_demod,569] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 285.60/285.70  ** KEPT (pick-wt=7): 571 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 285.60/285.70    Following clause subsumed by 571 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 285.60/285.70    Following clause subsumed by 571 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 285.60/285.70  ** KEPT (pick-wt=15): 572 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 285.60/285.70  ** KEPT (pick-wt=7): 573 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),A,tc_nat).
% 285.60/285.70  ** KEPT (pick-wt=15): 574 [] 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).
% 285.60/285.70  ** KEPT (pick-wt=12): 576 [copy,575,demod,499] 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).
% 285.60/285.70  ** KEPT (pick-wt=23): 578 [copy,577,demod,499,499] 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).
% 285.60/285.71  ---> New Demodulator: 579 [new_demod,578] 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).
% 285.60/285.71    Following clause subsumed by 564 during input processing: 0 [demod,499,499] 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).
% 285.60/285.71  ** KEPT (pick-wt=3): 580 [] c_Finite__Set_Ofinite(v_U,tc_Com_Opname).
% 285.60/285.71  ** KEPT (pick-wt=14): 582 [copy,581,demod,499] 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).
% 285.60/285.71  ** KEPT (pick-wt=18): 584 [copy,583,demod,499,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).
% 285.60/285.71  ---> New Demodulator: 585 [new_demod,584] 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).
% 285.60/285.71  ** KEPT (pick-wt=4): 586 [] c_in(v_pn,v_U,tc_Com_Opname).
% 285.60/285.71  ** KEPT (pick-wt=3): 587 [] c_Finite__Set_Ofinite(v_G,t_a).
% 285.60/285.71  ** KEPT (pick-wt=2): 588 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 589 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 590 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 591 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 592 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 593 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 594 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 595 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 596 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 597 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 598 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 599 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 600 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 601 [] class_Divides_Osemiring__div(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 602 [] class_Nat_Osemiring__char__0(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 603 [] class_Orderings_Opreorder(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 604 [] class_Orderings_Olinorder(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 605 [] class_Orderings_Oorder(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 606 [] class_Orderings_Obot(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 607 [] class_HOL_Oord(tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=2): 608 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 285.60/285.71  ** KEPT (pick-wt=2): 609 [] class_Orderings_Opreorder(tc_bool).
% 285.60/285.71  ** KEPT (pick-wt=2): 610 [] class_Orderings_Oorder(tc_bool).
% 285.60/285.71  ** KEPT (pick-wt=2): 611 [] class_Orderings_Obot(tc_bool).
% 285.60/285.71  ** KEPT (pick-wt=2): 612 [] class_HOL_Oord(tc_bool).
% 285.60/285.71  ** KEPT (pick-wt=4): 613 [] c_fe_qual(A,A,B).
% 285.60/285.71    Following clause subsumed by 461 during input processing: 0 [copy,461,flip.1] A=A.
% 285.60/285.71  461 back subsumes 459.
% 285.60/285.71  461 back subsumes 457.
% 285.60/285.71  461 back subsumes 455.
% 285.60/285.71  461 back subsumes 454.
% 285.60/285.71  461 back subsumes 442.
% 285.60/285.71  461 back subsumes 441.
% 285.60/285.71  461 back subsumes 440.
% 285.60/285.71  461 back subsumes 439.
% 285.60/285.71  461 back subsumes 437.
% 285.60/285.71  461 back subsumes 433.
% 285.60/285.71  461 back subsumes 412.
% 285.60/285.71  >>>> Starting back demodulation with 463.
% 285.60/285.71  >>>> Starting back demodulation with 465.
% 285.60/285.71  >>>> Starting back demodulation with 467.
% 285.60/285.71      >> back demodulating 25 with 467.
% 285.60/285.71  >>>> Starting back demodulation with 470.
% 285.60/285.71      >> back demodulating 104 with 470.
% 285.60/285.71  ** KEPT (pick-wt=10): 614 [copy,475,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).
% 285.60/285.71  >>>> Starting back demodulation with 480.
% 285.60/285.71  >>>> Starting back demodulation with 484.
% 285.60/285.71  ** KEPT (pick-wt=17): 615 [copy,486,flip.1,demod,499,496,499] 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).
% 285.60/285.71  ** KEPT (pick-wt=17): 616 [copy,489,flip.1,demod,499,499,496] 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).
% 285.60/285.71  >>>> Starting back demodulation with 493.
% 285.60/285.71      >> back demodulating 436 with 493.
% 285.60/285.71  >>>> Starting back demodulation with 496.
% 285.60/285.71    Following clause subsumed by 497 during input processing: 0 [copy,497,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).
% 285.60/285.71  >>>> Starting back demodulation with 499.
% 285.60/285.71      >> back demodulating 494 with 499.
% 285.60/285.71      >> back demodulating 490 with 499.
% 285.60/285.71      >> back demodulating 489 with 499.
% 285.60/285.71      >> back demodulating 488 with 499.
% 285.60/285.71      >> back demodulating 486 with 499.
% 285.60/285.71      >> back demodulating 483 with 499.
% 285.60/285.71      >> back demodulating 481 with 499.
% 285.60/285.71      >> back demodulating 479 with 499.
% 285.60/285.71      >> back demodulating 472 with 499.
% 285.60/285.71      >> back demodulating 452 with 499.
% 285.60/285.71      >> back demodulating 451 with 499.
% 285.60/285.71      >> back demodulating 450 with 499.
% 285.60/285.71      >> back demodulating 430 with 499.
% 285.60/285.71      >> back demodulating 429 with 499.
% 285.60/285.71      >> back demodulating 402 with 499.
% 285.60/285.71      >> back demodulating 394 with 499.
% 285.60/285.71      >> back demodulating 386 with 499.
% 285.60/285.71      >> back demodulating 382 with 499.
% 285.60/285.71      >> back demodulating 377 with 499.
% 285.60/285.71      >> back demodulating 371 with 499.
% 285.60/285.71      >> back demodulating 370 with 499.
% 285.60/285.71      >> back demodulating 369 with 499.
% 285.60/285.71      >> back demodulating 368 with 499.
% 285.60/285.71      >> back demodulating 358 with 499.
% 285.60/285.71      >> back demodulating 357 with 499.
% 285.60/285.71      >> back demodulating 355 with 499.
% 285.60/285.71      >> back demodulating 354 with 499.
% 285.60/285.71      >> back demodulating 349 with 499.
% 285.60/285.71      >> back demodulating 345 with 499.
% 285.60/285.71      >> back demodulating 326 with 499.
% 285.60/285.71      >> back demodulating 325 with 499.
% 285.60/285.71      >> back demodulating 273 with 499.
% 285.60/285.71      >> back demodulating 252 with 499.
% 285.60/285.71      >> back demodulating 250 with 499.
% 285.60/285.71      >> back demodulating 249 with 499.
% 285.60/285.71      >> back demodulating 248 with 499.
% 285.60/285.71      >> back demodulating 247 with 499.
% 285.60/285.71      >> back demodulating 246 with 499.
% 285.60/285.71      >> back demodulating 217 with 499.
% 285.60/285.71      >> back demodulating 216 with 499.
% 285.60/285.71      >> back demodulating 186 with 499.
% 285.60/285.71      >> back demodulating 185 with 499.
% 285.60/285.71      >> back demodulating 153 with 499.
% 285.60/285.71      >> back demodulating 120 with 499.
% 285.60/285.71      >> back demodulating 119 with 499.
% 285.60/285.71      >> back demodulating 118 with 499.
% 285.60/285.71      >> back demodulating 117 with 499.
% 285.60/285.71      >> back demodulating 116 with 499.
% 285.60/285.71      >> back demodulating 115 with 499.
% 285.60/285.71      >> back demodulating 114 with 499.
% 285.60/285.71      >> back demodulating 113 with 499.
% 285.60/285.71      >> back demodulating 112 with 499.
% 285.60/285.71      >> back demodulating 111 with 499.
% 285.60/285.71      >> back demodulating 49 with 499.
% 285.60/285.71      >> back demodulating 48 with 499.
% 285.60/285.71      >> back demodulating 46 with 499.
% 285.60/285.71      >> back demodulating 32 with 499.
% 285.60/285.71      >> back demodulating 31 with 499.
% 285.60/285.71      >> back demodulating 30 with 499.
% 285.60/285.71      >> back demodulating 26 with 499.
% 285.60/285.71    Following clause subsumed by 509 during input processing: 0 [copy,501,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).
% 285.60/285.71  ** KEPT (pick-wt=27): 665 [copy,507,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)).
% 285.60/285.71  ** KEPT (pick-wt=27): 666 [copy,508,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)).
% 285.60/285.71    Following clause subsumed by 509 during input processing: 0 [copy,509,flip.1] c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 285.60/285.71  509 back subsumes 501.
% 285.60/285.71  >>>> Starting back demodulation with 511.
% 285.60/285.71  ** KEPT (pick-wt=11): 667 [copy,512,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 285.60/285.71  >>>> Starting back demodulation with 516.
% 285.60/285.71  ** KEPT (pick-wt=8): 668 [copy,518,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)=c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 285.60/285.71    Following clause subsumed by 572 during input processing: 0 [copy,521,flip.1] 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).
% 285.60/285.71  525 back subsumes 522.
% 285.60/285.71    Following clause subsumed by 528 during input processing: 0 [copy,527,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).
% 285.60/285.71    Following clause subsumed by 527 during input processing: 0 [copy,528,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)).
% 285.60/285.71  >>>> Starting back demodulation with 530.
% 285.60/285.71  ** KEPT (pick-wt=7): 669 [copy,531,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(A,A,tc_nat).
% 285.60/285.71  ** KEPT (pick-wt=15): 670 [copy,532,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).
% 285.60/285.71  >>>> Starting back demodulation with 534.
% 285.60/285.71  >>>> Starting back demodulation with 536.
% 285.60/285.71  >>>> Starting back demodulation with 538.
% 285.60/285.71  >>>> Starting back demodulation with 540.
% 285.60/285.71      >> back demodulating 261 with 540.
% 285.60/285.71  >>>> Starting back demodulation with 542.
% 285.60/285.71      >> back demodulating 225 with 542.
% 285.60/285.71  ** KEPT (pick-wt=17): 671 [copy,550,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).
% 285.60/285.71  552 back subsumes 468.
% 285.60/285.71  >>>> Starting back demodulation with 562.
% 285.60/285.71  563 back subsumes 456.
% 285.60/285.71  >>>> Starting back demodulation with 568.
% 285.60/285.71      >> back demodulating 396 with 568.
% 285.60/285.71  >>>> Starting back demodulation with 570.
% 285.60/285.71      >> back demodulating 422 with 570.
% 285.60/285.71      >> back demodulating 421 with 570.
% 285.60/285.71      >> back demodulating 420 with 570.
% 285.60/285.71      >> back demodulating 419 with 570.
% 285.60/285.71  571 back subsumes 543.
% 285.60/285.71    Following clause subsumed by 572 during input processing: 0 [copy,572,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 285.60/285.71  572 back subsumes 521.
% 285.60/285.71    Following clause subsumed by 574 during input processing: 0 [copy,574,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).
% 285.60/285.71  >>>> Starting back demodulation with 579.
% 285.60/285.71  >>>> Starting back demodulation with 585.
% 285.60/285.71    Following clause subsumed by 475 during input processing: 0 [copy,614,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).
% 285.60/285.71    Following clause subsumed by 616 during input processing: 0 [copy,615,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).
% 285.60/285.71    Following clause subsumed by 615 during input processing: 0 [copy,616,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).
% 285.60/285.71  >>>> Starting back demodulation with 622.
% 285.60/285.71  ** KEPT (pick-wt=8): 677 [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).
% 285.60/285.71    Following clause subsumed by 507 during input processing: 0 [copy,665,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)).
% 286.87/286.95    Following clause subsumed by 508 during input processing: 0 [copy,666,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)).
% 286.87/286.95    Following clause subsumed by 512 during input processing: 0 [copy,667,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 286.87/286.95    Following clause subsumed by 518 during input processing: 0 [copy,668,flip.1] c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 286.87/286.95    Following clause subsumed by 531 during input processing: 0 [copy,669,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 286.87/286.95    Following clause subsumed by 532 during input processing: 0 [copy,670,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).
% 286.87/286.95    Following clause subsumed by 550 during input processing: 0 [copy,671,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).
% 286.87/286.95    Following clause subsumed by 657 during input processing: 0 [copy,677,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 286.87/286.95  
% 286.87/286.95  ======= end of input processing =======
% 286.87/286.95  
% 286.87/286.95  =========== start of search ===========
% 286.87/286.95  
% 286.87/286.95  
% 286.87/286.95  Resetting weight limit to 2.
% 286.87/286.95  
% 286.87/286.95  
% 286.87/286.95  Resetting weight limit to 2.
% 286.87/286.95  
% 286.87/286.95  sos_size=158
% 286.87/286.95  
% 286.87/286.95  Search stopped because sos empty.
% 286.87/286.95  
% 286.87/286.95  
% 286.87/286.95  Search stopped because sos empty.
% 286.87/286.95  
% 286.87/286.95  ============ end of search ============
% 286.87/286.95  
% 286.87/286.95  -------------- statistics -------------
% 286.87/286.95  clauses given                159
% 286.87/286.95  clauses generated         117477
% 286.87/286.95  clauses kept                 620
% 286.87/286.95  clauses forward subsumed     171
% 286.87/286.95  clauses back subsumed         25
% 286.87/286.95  Kbytes malloced             7812
% 286.87/286.95  
% 286.87/286.95  ----------- times (seconds) -----------
% 286.87/286.95  user CPU time          1.31          (0 hr, 0 min, 1 sec)
% 286.87/286.95  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 286.87/286.95  wall-clock time      287             (0 hr, 4 min, 47 sec)
% 286.87/286.95  
% 286.87/286.95  Process 18251 finished Wed Jul 27 06:17:33 2022
% 286.87/286.95  Otter interrupted
% 286.87/286.95  PROOF NOT FOUND
%------------------------------------------------------------------------------