TSTP Solution File: LCL814-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL814-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 13:05:30 EDT 2022
% Result : Unknown 216.78s 216.83s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL814-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:21:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 216.23/216.38 ----- Otter 3.3f, August 2004 -----
% 216.23/216.38 The process was started by sandbox on n004.cluster.edu,
% 216.23/216.38 Wed Jul 27 09:21:06 2022
% 216.23/216.38 The command was "./otter". The process ID is 24623.
% 216.23/216.38
% 216.23/216.38 set(prolog_style_variables).
% 216.23/216.38 set(auto).
% 216.23/216.38 dependent: set(auto1).
% 216.23/216.38 dependent: set(process_input).
% 216.23/216.38 dependent: clear(print_kept).
% 216.23/216.38 dependent: clear(print_new_demod).
% 216.23/216.38 dependent: clear(print_back_demod).
% 216.23/216.38 dependent: clear(print_back_sub).
% 216.23/216.38 dependent: set(control_memory).
% 216.23/216.38 dependent: assign(max_mem, 12000).
% 216.23/216.38 dependent: assign(pick_given_ratio, 4).
% 216.23/216.38 dependent: assign(stats_level, 1).
% 216.23/216.38 dependent: assign(max_seconds, 10800).
% 216.23/216.38 clear(print_given).
% 216.23/216.38
% 216.23/216.38 list(usable).
% 216.23/216.38 0 [] A=A.
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,T_a)=V_x| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] -c_HOL_Oord__class_Oless(V_x,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|c_List_Onth(c_List_Olist__update(V_xs,V_x,V_xa,T_a),V_x,T_a)=V_xa.
% 216.23/216.38 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_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).
% 216.23/216.38 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 216.23/216.38 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_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).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 216.23/216.38 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c,T_a).
% 216.23/216.38 0 [] -c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a).
% 216.23/216.38 0 [] -c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(V_r,V_x),V_y)).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 216.23/216.38 0 [] c_HOL_Oone__class_Oone(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 216.23/216.38 0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 216.23/216.38 0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 216.23/216.38 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)!=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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)!=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).
% 216.23/216.38 0 [] c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),V_n,T_a)=c_List_Onth(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),T_a)|c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=V_m.
% 216.23/216.38 0 [] c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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.
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_OrderedGroup_Osemigroup__add(T_a)|c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x).
% 216.23/216.38 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a).
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a).
% 216.23/216.38 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).
% 216.23/216.38 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.
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),V_n,T_a)=c_List_Onth(V_xs,V_n,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),V_n,T_a)=c_List_Onth(V_xs,c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 0 [] c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=V_n.
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 216.23/216.38 0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)| -c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 216.23/216.38 0 [] c_lesse_quals(c_Suc(V_m),V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_lesse_quals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_lesse_quals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),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).
% 216.23/216.38 0 [] c_List_Orev(c_List_Olist__update(V_xs,V_k,V_y,T_a),T_a)=c_List_Olist__update(c_List_Orev(V_xs,T_a),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_k,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_y,T_a)| -c_HOL_Oord__class_Oless(V_k,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_m).
% 216.23/216.38 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_nat_H).
% 216.23/216.38 0 [] c_Int_Onumber__class_Onumber__of(V_v,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),T_a)=V_x.
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),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).
% 216.23/216.38 0 [] -hBOOL(hAPP(hAPP(V_r,V_y),V_xa))|c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_x,T_a),c_List_Olist_OCons(V_xa,V_x,T_a),T_a).
% 216.23/216.38 0 [] V_x=V_y|V_xs=V_ys| -c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 216.23/216.38 0 [] -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|c_List_Olist__update(V_xs,V_i,c_List_Onth(V_xs,V_i,T_a),T_a)=V_xs.
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a)=c_List_Odrop(V_i,V_xs,T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 216.23/216.38 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b)=V_a.
% 216.23/216.38 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.
% 216.23/216.38 0 [] c_ListOrder_Ostep1(V_r,c_List_Oappend(V_x,V_vs,T_a),c_List_Oappend(V_x,V_us,T_a),T_a)| -c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a).
% 216.23/216.38 0 [] -c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)|c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,V_x,T_a),c_List_Oappend(V_xs,V_x,T_a),T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 216.23/216.38 0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat).
% 216.23/216.38 0 [] -c_lesse_quals(V_x,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 216.23/216.38 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 216.23/216.38 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)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat).
% 216.23/216.38 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Onth(c_List_Otake(V_n,V_xs,T_a),V_i,T_a)=c_List_Onth(V_xs,V_i,T_a)| -c_HOL_Oord__class_Oless(V_i,V_n,tc_nat).
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z).
% 216.23/216.38 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)).
% 216.23/216.38 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 216.23/216.38 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)).
% 216.23/216.38 0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 216.23/216.38 0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 216.23/216.38 0 [] c_List_Onth(V_xs,V_i,T_a)!=c_List_Onth(V_xs,V_j,T_a)|V_i=V_j| -c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)| -c_List_Odistinct(V_xs,T_a).
% 216.23/216.38 0 [] c_List_Onth(V_xs,V_i,T_a)!=c_List_Onth(V_xs,V_j,T_a)| -c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)| -c_List_Odistinct(V_xs,T_a)|V_i=V_j.
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_Lambda_OdB_OAbs(V_r)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Onth(c_List_Oreplicate(V_n,V_x,T_a),V_i,T_a)=V_x| -c_HOL_Oord__class_Oless(V_i,V_n,tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_nat).
% 216.23/216.38 0 [] -c_HOL_Oord__class_Oless(V_n,V_n,tc_nat).
% 216.23/216.38 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 216.23/216.38 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 216.23/216.38 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 216.23/216.38 0 [] V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),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).
% 216.23/216.38 0 [] c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)|V_xs=V_ys| -c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 216.23/216.38 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).
% 216.23/216.38 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.
% 216.23/216.38 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).
% 216.23/216.38 0 [] V_m=V_n| -c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 216.23/216.38 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.
% 216.23/216.38 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).
% 216.23/216.38 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.
% 216.23/216.38 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.
% 216.23/216.38 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).
% 216.23/216.38 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.
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 216.23/216.38 0 [] c_lesse_quals(V_x,V_y,tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_nat).
% 216.23/216.38 0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Onth(c_List_Omap(V_f,V_xs,T_a,T_b),V_n,T_b)=hAPP(V_f,c_List_Onth(V_xs,V_n,T_a))| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_Suc(V_nat_H)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 0 [] c_Suc(V_m)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 216.23/216.38 0 [] c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a)|c_Int_Onumber__class_Onumber__of(V_v,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 0 [] hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j)=hAPP(V_e,c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 216.23/216.38 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),T_a).
% 216.23/216.38 0 [] -class_Orderings_Olinorder(T_a)| -class_Int_Onumber(T_a)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)| -c_lesse_quals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a).
% 216.23/216.38 0 [] -class_Orderings_Olinorder(T_a)| -class_Int_Onumber(T_a)|c_lesse_quals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a)|c_Int_Onumber__class_Onumber__of(V_v,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i)=c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 216.23/216.38 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k)=c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(V_k,V_i,tc_nat).
% 216.23/216.38 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 216.23/216.38 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a)=c_Divides_Odiv__class_Omod(V_a,V_b,T_a).
% 216.23/216.38 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a),V_b,T_a)=c_Divides_Odiv__class_Omod(V_a,V_b,T_a).
% 216.23/216.38 0 [] hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j)=hAPP(V_e,V_j)| -c_HOL_Oord__class_Oless(V_j,V_i,tc_nat).
% 216.23/216.38 0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 216.23/216.38 0 [] c_lesse_quals(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 216.23/216.38 0 [] -c_lesse_quals(c_Suc(V_n),V_n,tc_nat).
% 216.23/216.38 0 [] c_List_Olist__update(V_xs,V_i,c_List_Onth(V_xs,V_i,T_a),T_a)=V_xs.
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),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).
% 216.23/216.38 0 [] c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_n),T_a)=c_List_Onth(V_xs,V_n,T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 216.23/216.38 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 216.23/216.38 0 [] c_Suc(V_n)!=V_n.
% 216.23/216.38 0 [] V_n!=c_Suc(V_n).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 216.23/216.38 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 216.23/216.38 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a).
% 216.23/216.38 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)).
% 216.23/216.38 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))).
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d).
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b).
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)).
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 216.23/216.38 0 [] c_List_Onth(c_List_Orev(V_xs,T_a),V_n,T_a)=c_List_Onth(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Suc(V_n),tc_nat),T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] -c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 216.23/216.38 0 [] -c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 216.23/216.38 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)=V_u.
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_j,T_a)=c_List_Onth(V_xs,V_j,T_a)|V_i=V_j.
% 216.23/216.38 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a).
% 216.23/216.38 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a).
% 216.23/216.38 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,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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.
% 216.23/216.38 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.
% 216.23/216.38 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.
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_Int_Oring__char__0(T_a)| -class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(V_x,T_a)!=c_Int_Onumber__class_Onumber__of(V_y,T_a)|V_x=V_y.
% 216.23/216.38 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat).
% 216.23/216.38 0 [] c_Lambda_OdB_OAbs(V_r)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 216.23/216.38 0 [] c_List_Orotate(V_n,V_xs,T_a)=V_xs| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 216.23/216.38 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),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).
% 216.23/216.38 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.
% 216.23/216.38 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.
% 216.23/216.38 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.
% 216.23/216.38 0 [] c_Int_Onumber__class_Onumber__of(V_v,tc_nat)=c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 216.23/216.38 0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 216.23/216.38 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)|V_y=V_z.
% 216.23/216.38 0 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 216.23/216.38 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 216.23/216.38 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)|V_b=V_c.
% 216.23/216.38 0 [] c_lesse_quals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat).
% 216.23/216.38 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(V_r)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_r,V_y),V_x))| -c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 216.23/216.38 0 [] c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),T_a)=c_List_Onth(V_xs,c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),T_a)|c_Int_Onumber__class_Onumber__of(V_v,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)).
% 216.23/216.38 0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_n),tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(V_r).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),T_a).
% 216.23/216.38 0 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a)=c_Transitive__Closure_Ortranclp(V_r,T_a).
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)=V_x.
% 216.23/216.38 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 216.23/216.38 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)).
% 216.23/216.38 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 216.23/216.38 0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 216.23/216.38 0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 216.23/216.38 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 216.23/216.38 0 [] c_List_Olist__update(V_xs,V_i,V_x,T_a)!=V_xs| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|c_List_Onth(V_xs,V_i,T_a)=V_x.
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 216.23/216.38 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a)=V_a.
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.38 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] V_ys=V_xs|V_y=V_x| -c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(V_r,V_y),V_x))|V_y=V_x| -c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(V_r,V_y),V_x))|c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)| -c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a).
% 216.23/216.38 0 [] V_ys=V_xs|c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)| -c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_lesse_quals(V_n,V_n,tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_lesse_quals(V_x,V_x,tc_nat).
% 216.23/216.38 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 216.23/216.38 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a).
% 216.23/216.38 0 [] c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)|hBOOL(hAPP(hAPP(V_r,V_y),V_x))| -c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 216.23/216.38 0 [] c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_x,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)| -c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a).
% 216.23/216.38 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 216.23/216.38 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))).
% 216.23/216.38 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).
% 216.23/216.38 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 216.23/216.38 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a).
% 216.23/216.38 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_j,T_a)=c_List_Onth(V_xs,V_j,T_a)|V_i=V_j| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 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.
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 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.
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat).
% 216.23/216.38 0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat).
% 216.23/216.38 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).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(V_r,V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_lesse_quals(V_n,V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 216.23/216.38 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 216.23/216.38 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).
% 216.23/216.38 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).
% 216.23/216.38 0 [] c_List_Otake(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 0 [] c_List_Odrop(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.38 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a)=c_List_Oappend(V_xs,c_List_Olist__update(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_x,T_a),T_a)|c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_List_Orotate(V_n,c_List_Orev(V_xs,T_a),T_a)=c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),tc_nat),V_xs,T_a),T_a).
% 216.23/216.38 0 [] c_List_Otake(c_Suc(V_i),V_xs,T_a)=c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Olist_ONil(T_a),T_a),T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] V_xs=c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a)=V_x.
% 216.23/216.38 0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a).
% 216.23/216.38 0 [] c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a))=c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))).
% 216.23/216.38 0 [] c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)).
% 216.23/216.38 0 [] -c_lesse_quals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_ys,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)).
% 216.23/216.38 0 [] c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a).
% 216.23/216.38 0 [] c_Lambda_OdB_OAbs(V_r)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OAbs(V_r)=V_s.
% 216.23/216.38 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_rs=V_ss.
% 216.23/216.38 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_r=V_s.
% 216.23/216.38 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(V_r)|V_s=c_Lambda_OdB_OAbs(V_r).
% 216.23/216.38 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)=V_t.
% 216.23/216.38 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_r),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_r),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 216.23/216.38 0 [] c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)).
% 216.23/216.38 0 [] c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_xs.
% 216.23/216.38 0 [] c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Odrop(V_n,V_xs,T_a).
% 216.23/216.38 0 [] c_List_Odrop(V_n,V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|c_List_Onth(V_xs,V_n,T_a)=V_y.
% 216.23/216.38 0 [] c_List_Otake(V_n,V_xs,T_a)=V_xs| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat).
% 216.23/216.38 0 [] c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a))=c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat).
% 216.23/216.38 0 [] c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a)=c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a).
% 216.23/216.38 0 [] c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))| -c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T).
% 216.23/216.38 0 [] c_List_Oreplicate(c_Suc(V_n),V_x,T_a)=c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a).
% 216.23/216.38 0 [] c_List_Olist__update(V_xs,V_i,V_x,T_a)=V_xs| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat).
% 216.23/216.38 0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -c_Type_Otyping(V_e,V_t,V_T)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)).
% 216.23/216.38 0 [] c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)|hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x)=V_s.
% 216.23/216.38 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k)=c_Lambda_OdB_OVar(V_i)|V_i=V_k|c_HOL_Oord__class_Oless(V_k,V_i,tc_nat).
% 216.23/216.38 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i)=c_Lambda_OdB_OVar(V_j)| -c_HOL_Oord__class_Oless(V_j,V_i,tc_nat).
% 216.23/216.38 0 [] c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a)=c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a).
% 216.23/216.38 0 [] c_Type_Oshift(c_Type_Oshift(V_e,V_i,V_U,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a)=c_Type_Oshift(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a),c_Suc(V_i),V_U,T_a).
% 216.23/216.38 0 [] c_List_Orotate(V_n,V_xs,T_a)=c_List_Orotate(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 216.23/216.38 0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,V_a,T_a,T_a)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a).
% 216.23/216.38 0 [] c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a)=c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a).
% 216.23/216.38 0 [] hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k)=c_Lambda_OdB_OVar(V_i)| -c_HOL_Oord__class_Oless(V_i,V_k,tc_nat).
% 216.23/216.38 0 [] c_List_Onth(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),T_a)=V_x.
% 216.23/216.38 0 [] c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a).
% 216.23/216.38 0 [] c_Int_Onumber__class_Onumber__of(V_v,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB).
% 216.23/216.38 0 [] c_List_Odrop(V_n,V_xs,T_a)!=c_List_Olist_ONil(T_a)|c_lesse_quals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat).
% 216.23/216.38 0 [] c_List_Odrop(V_n,V_xs,T_a)=c_List_Olist_ONil(T_a)| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat).
% 216.23/216.38 0 [] c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)!=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)|c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a)=V_ys_092_060_094isub_0621|c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a).
% 216.23/216.38 0 [] c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)!=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)|V_xs_092_060_094isub_0621=c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)!=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)|V_xs_092_060_094isub_0622=c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a)| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)!=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)|c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a)=V_ys_092_060_094isub_0622|c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a).
% 216.23/216.38 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a)=c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a)=c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB).
% 216.23/216.38 0 [] c_Lambda_OdB_OVar(V_m)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 216.23/216.38 0 [] c_Lambda_OdB_OVar(V_m)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 216.23/216.38 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB).
% 216.23/216.38 0 [] c_List_Olist__update(V_xs,V_i,V_a,T_a)=c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(V_a,c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.38 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a)=c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a).
% 216.23/216.38 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a)).
% 216.23/216.38 0 [] c_List_Omap(c_COMBK(V_k,T_a,T_b),V_lst,T_b,T_a)=c_List_Oreplicate(c_Nat_Osize__class_Osize(V_lst,tc_List_Olist(T_b)),V_k,T_a).
% 216.23/216.38 0 [] c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Orotate(V_n,V_xs,T_a)=V_xs.
% 216.23/216.38 0 [] c_Type_Otyping(V_e,V_t,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T))| -c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T).
% 216.23/216.38 0 [] c_Int_Onumber__class_Onumber__of(V_v,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.38 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),c_HOL_Ozero__class_Ozero(tc_nat)))).
% 216.23/216.38 0 [] V_v=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)).
% 216.23/216.38 0 [] c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a)!=V_ys_092_060_094isub_0621|c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat)|c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)=c_List_Oappend(V_ys_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a),T_a).
% 216.23/216.39 0 [] V_xs_092_060_094isub_0621!=c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)|c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a)=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 216.23/216.39 0 [] c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a)=c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a).
% 216.23/216.39 0 [] c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a)=c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a).
% 216.23/216.39 0 [] c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 216.23/216.39 0 [] c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 216.23/216.39 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))| -c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U).
% 216.23/216.39 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(c_InductTermi_OIT,V_s))| -hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))).
% 216.23/216.39 0 [] c_List_Orotate(V_n,V_xs,T_a)=c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),c_List_Otake(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),T_a).
% 216.23/216.39 0 [] c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 216.23/216.39 0 [] c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)| -c_Type_Otypings(V_e,V_ts,V_Ts)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 216.23/216.39 0 [] c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 216.23/216.39 0 [] c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 216.23/216.39 0 [] c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 216.23/216.39 0 [] V_U=c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us),V_T,tc_Type_Otype,tc_Type_Otype)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)| -c_Type_Otypings(V_e,V_ts,V_Ts)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 216.23/216.39 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____).
% 216.23/216.39 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____).
% 216.23/216.39 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 216.23/216.39 0 [] c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)| -c_Type_Otypings(V_e,V_ts,V_Ts)| -c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)).
% 216.23/216.39 0 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a).
% 216.23/216.39 0 [] c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a)=V_a.
% 216.23/216.39 0 [] c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a).
% 216.23/216.39 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b)=c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b).
% 216.23/216.39 0 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=V_xs.
% 216.23/216.39 0 [] v_T____=hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 216.23/216.39 0 [] c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a).
% 216.23/216.39 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|V_xs=c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a).
% 216.23/216.39 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)).
% 216.23/216.39 0 [] c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a)=c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a).
% 216.23/216.39 0 [] c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a)=c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 216.23/216.39 0 [] V_ys=c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 216.23/216.39 0 [] c_List_Otake(V_n,V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.39 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a)=c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a).
% 216.23/216.39 0 [] c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a)=c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a).
% 216.23/216.39 0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)|V_r=V_s.
% 216.23/216.39 0 [] c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a)=V_xs.
% 216.23/216.39 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 216.23/216.39 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 216.23/216.39 0 [] c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a)=c_List_Olist_OCons(V_y,V_ys,T_a).
% 216.23/216.39 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 216.23/216.39 0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a).
% 216.23/216.39 0 [] c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 216.23/216.39 0 [] c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 216.23/216.39 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a).
% 216.23/216.39 0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 216.23/216.39 0 [] c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 216.23/216.39 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 216.23/216.39 0 [] c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a)=c_List_Olist_OCons(V_y,V_xs,T_a).
% 216.23/216.39 0 [] c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)).
% 216.23/216.39 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 216.23/216.39 0 [] c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)=c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a).
% 216.23/216.39 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 216.23/216.39 0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_x=V_y|V_m=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.39 0 [] -c_Type_Otyping(V_e_H,V_u,V_U)| -c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)|c_Type_Otyping(V_e_H,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),V_T).
% 216.23/216.39 0 [] c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b)=c_List_Ofoldr(c_COMBC(V_f,T_a,T_b,T_a),c_List_Orev(V_xs,T_b),V_a,T_b,T_a).
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 216.23/216.39 0 [] c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 216.23/216.39 0 [] c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a).
% 216.23/216.39 0 [] c_List_Orev(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a).
% 216.23/216.39 0 [] c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b)=c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b).
% 216.23/216.39 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 216.23/216.39 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 216.23/216.39 0 [] c_List_Olist__update(V_xs,V_k,V_x,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a).
% 216.23/216.39 0 [] c_List_Olistsp(V_A,V_xs,T_a)| -c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 216.23/216.39 0 [] c_List_Olistsp(V_A,V_ys,T_a)| -c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 216.23/216.39 0 [] c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a).
% 216.23/216.39 0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_m=V_n.
% 216.23/216.39 0 [] c_List_Oappend(V_ys,V_xs,T_a)!=c_List_Oappend(V_zs,V_xs,T_a)|V_ys=V_zs.
% 216.23/216.39 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Oappend(V_xs,V_zs,T_a)|V_ys=V_zs.
% 216.23/216.39 0 [] c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))).
% 216.23/216.39 0 [] c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 216.23/216.39 0 [] V_x=c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a).
% 216.23/216.39 0 [] V_xs=c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a).
% 216.23/216.39 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 216.23/216.39 0 [] V_ys=c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a).
% 216.23/216.39 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 216.23/216.39 0 [] c_List_Odistinct(V_ys,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 216.23/216.39 0 [] V_xs=c_List_Orev(c_List_Orev(V_xs,T_a),T_a).
% 216.23/216.39 0 [] c_List_Orev(c_List_Orev(V_ys,T_a),T_a)=V_ys.
% 216.23/216.39 0 [] c_List_Orev(c_List_Orev(V_xs,T_a),T_a)=V_xs.
% 216.23/216.39 0 [] V_xs=c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 216.23/216.39 0 [] hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_s),V_k)),hAPP(hAPP(c_Lambda_Olift,V_t),V_k)).
% 216.23/216.39 0 [] c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a).
% 216.23/216.39 0 [] c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a)=c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a).
% 216.23/216.39 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)|V_xs=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a).
% 216.23/216.39 0 [] hAPP(V_e,V_i)=V_T| -c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T).
% 216.23/216.39 0 [] c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 216.23/216.39 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)).
% 216.23/216.39 0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v).
% 216.23/216.39 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 216.23/216.39 0 [] hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x)=V_T.
% 216.23/216.39 0 [] v_T____!=hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))| -c_Type_Otyping(V_e,V_u,V_T1)| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 216.23/216.39 0 [] v_T____!=hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))| -c_Type_Otyping(V_e,V_u,V_T2)| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 216.23/216.39 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_ys=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a))=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.39 0 [] V_xs!=c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a)|c_List_Oappend(V_xs,c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a),T_a)=V_zs.
% 216.23/216.39 0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 216.23/216.39 0 [] c_Lambda_OdB_OVar(V_m)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OVar(V_m)=V_s.
% 216.23/216.39 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 216.23/216.39 0 [] c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)).
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a).
% 216.23/216.39 0 [] V_T=V_U| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 216.23/216.39 0 [] c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a)=c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a).
% 216.23/216.39 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)|V_dB2=V_dB2_H.
% 216.23/216.39 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)|V_dB1=V_dB1_H.
% 216.23/216.39 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB).
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 216.23/216.39 0 [] c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)| -c_Type_Otyping(V_env,V_t,V_T)| -c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)).
% 216.23/216.39 0 [] c_List_Odistinct(c_List_Olist_ONil(T_a),T_a).
% 216.23/216.39 0 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)).
% 216.23/216.39 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Orev(V_xs,T_a)!=c_List_Orev(V_ys,T_a)|V_xs=V_ys.
% 216.23/216.39 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a).
% 216.23/216.39 0 [] c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 216.23/216.39 0 [] c_List_Oreplicate(V_n,V_x,T_a)!=c_List_Olist_ONil(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.39 0 [] c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)=c_List_Ofoldl(c_COMBC(V_f,T_b,T_a,T_a),V_a,c_List_Orev(V_xs,T_b),T_a,T_b).
% 216.23/216.39 0 [] c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)| -c_List_Olistsp(V_A,V_ys,T_a)| -c_List_Olistsp(V_A,V_xs,T_a).
% 216.23/216.39 0 [] c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a)=c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a).
% 216.23/216.39 0 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a))=V_n.
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)!=c_List_Oreplicate(V_n,V_x,T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.23/216.39 0 [] c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))!=c_HOL_Ozero__class_Ozero(tc_nat)|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a)=hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)).
% 216.23/216.39 0 [] c_List_Orotate(V_n,V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 216.23/216.39 0 [] c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a)=c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a).
% 216.23/216.39 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] V_xs!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_ys|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] V_ys!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2)!=hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)|V_type2=V_type2_H.
% 216.23/216.39 0 [] hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2)!=hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)|V_type1=V_type1_H.
% 216.23/216.39 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a).
% 216.23/216.39 0 [] c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a)!=V_ys_092_060_094isub_0622|c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a)!=V_ys_092_060_094isub_0621|V_xs_092_060_094isub_0621!=c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)|c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a)=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a).
% 216.23/216.39 0 [] c_List_Olist_OCons(V_a,V_list,T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a)|V_a=V_a_H.
% 216.23/216.39 0 [] c_List_Olist_OCons(V_a,V_list,T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a)|V_list=V_list_H.
% 216.23/216.39 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_rs=V_ss.
% 216.23/216.39 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_m=V_n.
% 216.23/216.39 0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))| -c_Type_Otyping(V_e,V_t,V_T).
% 216.23/216.39 0 [] c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a)=c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a)|V_i=V_i_H.
% 216.23/216.39 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 216.23/216.39 0 [] c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a).
% 216.23/216.39 0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)).
% 216.23/216.39 0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H).
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)=c_List_Orev(c_List_Olist_ONil(T_a),T_a).
% 216.23/216.39 0 [] c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)).
% 216.23/216.39 0 [] c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)!=c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)|V_xs=V_ys.
% 216.23/216.39 0 [] c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)!=c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)|V_x=V_y.
% 216.23/216.39 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a)=c_List_Olist__update(V_xs,V_i,V_y,T_a).
% 216.23/216.39 0 [] c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a)=c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a).
% 216.23/216.39 0 [] c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a)=c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a).
% 216.23/216.39 0 [] c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a)=c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a).
% 216.23/216.39 0 [] c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a)=c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a).
% 216.23/216.39 0 [] c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,V_t),V_i),V_T)| -c_Type_Otyping(V_e,V_t,V_T).
% 216.23/216.39 0 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)| -c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB).
% 216.23/216.39 0 [] c_Type_Otyping(v_e____,v_u____,v_T____).
% 216.23/216.39 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_b).
% 216.23/216.39 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_s),V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_k)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_s),V_k)).
% 216.23/216.39 0 [] c_List_Odrop(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a)=c_List_Omap(V_f,c_List_Odrop(V_n,V_xs,T_b),T_b,T_a).
% 216.23/216.39 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k)=V_u.
% 216.23/216.39 0 [] hAPP(V_f,c_List_Osko__List__Xmap__idI__1__1(V_f,V_xs,T_a))!=c_List_Osko__List__Xmap__idI__1__1(V_f,V_xs,T_a)|c_List_Omap(V_f,V_xs,T_a,T_a)=V_xs.
% 216.23/216.39 0 [] hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_i)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_t),V_i),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 216.23/216.39 0 [] c_List_Odistinct(V_xs,T_b)| -c_List_Odistinct(c_List_Omap(V_f,V_xs,T_b,T_a),T_a).
% 216.23/216.39 0 [] c_List_Omap(V_f,c_List_Oappend(V_xs,V_ys,T_b),T_b,T_a)=c_List_Oappend(c_List_Omap(V_f,V_xs,T_b,T_a),c_List_Omap(V_f,V_ys,T_b,T_a),T_a).
% 216.23/216.39 0 [] c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))).
% 216.23/216.39 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Omap(V_f,V_ys,T_b,T_a)|c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b))=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)).
% 216.23/216.39 0 [] v_n____=v_i____.
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)!=c_List_Omap(V_f,V_xs,T_b,T_a)|V_xs=c_List_Olist_ONil(T_b).
% 216.23/216.39 0 [] c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a)=c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a).
% 216.23/216.39 0 [] c_Nat_Osize__class_Osize(c_List_Omap(V_f,V_xs,T_b,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)).
% 216.23/216.39 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u),V_i)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_u),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 216.23/216.39 0 [] c_List_Orotate(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a)=c_List_Omap(V_f,c_List_Orotate(V_n,V_xs,T_b),T_b,T_a).
% 216.23/216.39 0 [] c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____).
% 216.23/216.39 0 [] c_List_Orev(c_List_Omap(V_f,V_xs,T_b,T_a),T_a)=c_List_Omap(V_f,c_List_Orev(V_xs,T_b),T_b,T_a).
% 216.23/216.39 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 216.23/216.39 0 [] hAPP(V_f,c_List_Osko__List__Xmap__ext__1__1(V_f,V_g,V_xs,T_a,T_b))!=hAPP(V_g,c_List_Osko__List__Xmap__ext__1__1(V_f,V_g,V_xs,T_a,T_b))|c_List_Omap(V_f,V_xs,T_a,T_b)=c_List_Omap(V_g,V_xs,T_a,T_b).
% 216.23/216.39 0 [] c_List_Otake(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a)=c_List_Omap(V_f,c_List_Otake(V_n,V_xs,T_b),T_b,T_a).
% 216.23/216.39 0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 216.23/216.39 0 [] c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a)=c_List_Olist_ONil(T_a).
% 216.23/216.39 0 [] c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a)=c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a).
% 216.23/216.39 0 [] c_Type_Otypings(V_e,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_u),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)| -c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_T,tc_Type_Otype),V_ts,V_Ts)| -c_Type_Otyping(V_e,V_u,V_T).
% 216.23/216.39 0 [] c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a)=c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a).
% 216.23/216.39 0 [] c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a)=c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a).
% 216.23/216.39 0 [] c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a)=c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a).
% 216.23/216.39 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 216.23/216.39 0 [] hAPP(V_f,c_List_Osko__List__Xmap__cong__1__1(V_f,V_g,V_x,T_a,T_b))!=hAPP(V_g,c_List_Osko__List__Xmap__cong__1__1(V_f,V_g,V_x,T_a,T_b))|c_List_Omap(V_f,V_x,T_a,T_b)=c_List_Omap(V_g,V_x,T_a,T_b).
% 216.23/216.39 0 [] hAPP(V_f,c_List_Osko__List__Xmap__e_q__conv__1__1(V_f,V_g,V_xs,T_b,T_a))!=hAPP(V_g,c_List_Osko__List__Xmap__e_q__conv__1__1(V_f,V_g,V_xs,T_b,T_a))|c_List_Omap(V_f,V_xs,T_b,T_a)=c_List_Omap(V_g,V_xs,T_b,T_a).
% 216.23/216.39 0 [] c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)| -c_Type_Otypings(V_e,V_ts,V_Ts).
% 216.23/216.39 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k)=V_t.
% 216.23/216.39 0 [] c_List_Omap(V_f,c_List_Olist__update(V_xs,V_k,V_y,T_b),T_b,T_a)=c_List_Olist__update(c_List_Omap(V_f,V_xs,T_b,T_a),V_k,hAPP(V_f,V_y),T_a).
% 216.23/216.39 0 [] c_List_Olist_ONil(T_a)=c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a).
% 216.23/216.39 0 [] c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____).
% 216.23/216.39 0 [] c_Type_Otyping(v_e____,v_u____,v_T____).
% 216.23/216.39 0 [] -c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____).
% 216.23/216.39 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 216.23/216.39 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 216.23/216.39 0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 216.23/216.39 0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 216.23/216.39 0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 216.23/216.39 0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 216.23/216.39 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 216.23/216.39 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 216.23/216.39 0 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 216.23/216.39 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 216.23/216.39 0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 216.23/216.39 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 216.23/216.39 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 216.23/216.39 0 [] class_OrderedGroup_Osemigroup__add(tc_nat).
% 216.23/216.39 0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 216.23/216.39 0 [] class_Divides_Osemiring__div(tc_nat).
% 216.23/216.39 0 [] class_Orderings_Opreorder(tc_nat).
% 216.23/216.39 0 [] class_Orderings_Olinorder(tc_nat).
% 216.23/216.39 0 [] class_Orderings_Oorder(tc_nat).
% 216.23/216.39 0 [] class_Int_Onumber(tc_nat).
% 216.23/216.39 0 [] class_Orderings_Opreorder(tc_bool).
% 216.23/216.39 0 [] class_Orderings_Oorder(tc_bool).
% 216.23/216.39 0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_Ring__and__Field_Oordered__semidom(tc_Int_Oint).
% 216.23/216.39 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Int_Oint).
% 216.23/216.39 0 [] class_Ring__and__Field_Oordered__idom(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Osemigroup__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Oab__group__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Omonoid__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_OrderedGroup_Ogroup__add(tc_Int_Oint).
% 216.23/216.39 0 [] class_Divides_Osemiring__div(tc_Int_Oint).
% 216.23/216.39 0 [] class_Ring__and__Field_Oidom(tc_Int_Oint).
% 216.23/216.39 0 [] class_Orderings_Opreorder(tc_Int_Oint).
% 216.23/216.39 0 [] class_Orderings_Olinorder(tc_Int_Oint).
% 216.23/216.39 0 [] class_Divides_Oring__div(tc_Int_Oint).
% 216.23/216.39 0 [] class_Orderings_Oorder(tc_Int_Oint).
% 216.23/216.39 0 [] class_Int_Oring__char__0(tc_Int_Oint).
% 216.23/216.39 0 [] class_Int_Onumber__ring(tc_Int_Oint).
% 216.23/216.39 0 [] class_Int_Onumber(tc_Int_Oint).
% 216.23/216.39 0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 216.23/216.39 0 [] c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c)=hAPP(V_P,hAPP(V_Q,V_R)).
% 216.23/216.39 0 [] c_fe_qual(V_x,V_x,T_a).
% 216.23/216.39 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 216.23/216.39 end_of_list.
% 216.23/216.39
% 216.23/216.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 216.23/216.39
% 216.23/216.39 This ia a non-Horn set with equality. The strategy will be
% 216.23/216.39 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 216.23/216.39 deletion, with positive clauses in sos and nonpositive
% 216.23/216.39 clauses in usable.
% 216.23/216.39
% 216.23/216.39 dependent: set(knuth_bendix).
% 216.23/216.39 dependent: set(anl_eq).
% 216.23/216.39 dependent: set(para_from).
% 216.23/216.39 dependent: set(para_into).
% 216.23/216.39 dependent: clear(para_from_right).
% 216.23/216.39 dependent: clear(para_into_right).
% 216.23/216.39 dependent: set(para_from_vars).
% 216.23/216.39 dependent: set(eq_units_both_ways).
% 216.23/216.39 dependent: set(dynamic_demod_all).
% 216.23/216.39 dependent: set(dynamic_demod).
% 216.23/216.39 dependent: set(order_eq).
% 216.23/216.39 dependent: set(back_demod).
% 216.23/216.39 dependent: set(lrpo).
% 216.23/216.39 dependent: set(hyper_res).
% 216.23/216.39 dependent: set(unit_deletion).
% 216.23/216.39 dependent: set(factor).
% 216.23/216.39
% 216.23/216.39 ------------> process usable:
% 216.23/216.39 ** KEPT (pick-wt=7): 2 [copy,1,flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 216.23/216.39 ** KEPT (pick-wt=8): 3 [] -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).
% 216.23/216.39 ** KEPT (pick-wt=17): 4 [] c_List_Onth(c_List_Olist__update(A,B,C,D),B,D)=C| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 216.23/216.39 Following clause subsumed by 4 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat)|c_List_Onth(c_List_Olist__update(B,A,D,C),A,C)=D.
% 216.23/216.39 ** KEPT (pick-wt=17): 5 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 216.23/216.39 ** KEPT (pick-wt=17): 6 [] -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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A).
% 216.23/216.39 ** KEPT (pick-wt=17): 7 [] -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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A).
% 216.23/216.39 ** KEPT (pick-wt=17): 8 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 216.36/216.39 ** KEPT (pick-wt=39): 9 [] -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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),E),B),C,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),F),D),C,A).
% 216.36/216.39 ** KEPT (pick-wt=6): 10 [] -c_ListOrder_Ostep1(A,B,c_List_Olist_ONil(C),C).
% 216.36/216.39 ** KEPT (pick-wt=6): 11 [] -c_ListOrder_Ostep1(A,c_List_Olist_ONil(B),C,B).
% 216.36/216.39 ** KEPT (pick-wt=14): 12 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,C),D)).
% 216.36/216.39 ** KEPT (pick-wt=16): 14 [copy,13,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).
% 216.36/216.39 ** KEPT (pick-wt=5): 15 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 216.36/216.39 ** KEPT (pick-wt=8): 16 [] c_Suc(A)!=c_Suc(B)|A=B.
% 216.36/216.39 Following clause subsumed by 16 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 216.36/216.39 ** KEPT (pick-wt=15): 17 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=25): 18 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=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).
% 216.36/216.39 ** KEPT (pick-wt=25): 19 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=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).
% 216.36/216.39 ** KEPT (pick-wt=11): 20 [] -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).
% 216.36/216.39 ** KEPT (pick-wt=9): 21 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=9): 22 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 216.36/216.39 Following clause subsumed by 21 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=9): 23 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=16): 25 [copy,24,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=B|C=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=18): 26 [] 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).
% 216.36/216.39 ** KEPT (pick-wt=27): 28 [copy,27,flip.2] -class_OrderedGroup_Osemigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),C,D,A,A))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A,A).
% 216.36/216.39 ** KEPT (pick-wt=12): 29 [] 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).
% 216.36/216.39 ** KEPT (pick-wt=15): 30 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 216.36/216.39 ** KEPT (pick-wt=15): 31 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 216.36/216.39 Following clause subsumed by 30 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 216.36/216.39 ** KEPT (pick-wt=9): 32 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=9): 33 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 216.36/216.39 ** KEPT (pick-wt=15): 35 [copy,34,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).
% 216.36/216.39 ** KEPT (pick-wt=19): 36 [] c_List_Onth(c_List_Oappend(A,B,C),D,C)=c_List_Onth(A,D,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=9): 37 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=9): 38 [] c_lesse_quals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.39 Following clause subsumed by 37 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 216.36/216.39 Following clause subsumed by 38 during input processing: 0 [] c_lesse_quals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=22): 39 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_lesse_quals(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A)| -c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A).
% 216.36/216.39 ** KEPT (pick-wt=22): 40 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_lesse_quals(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 216.36/216.39 ** KEPT (pick-wt=32): 41 [] c_List_Orev(c_List_Olist__update(A,B,C,D),D)=c_List_Olist__update(c_List_Orev(A,D),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),B,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),C,D)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=5): 43 [copy,42,flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.39 Following clause subsumed by 43 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=17): 44 [] c_Int_Onumber__class_Onumber__of(A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Onth(c_List_Olist_OCons(B,C,D),c_Int_Onumber__class_Onumber__of(A,tc_nat),D)=B.
% 216.36/216.39 ** KEPT (pick-wt=24): 45 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 216.36/216.39 ** KEPT (pick-wt=11): 46 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=11): 47 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_lesse_quals(A,B,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=22): 48 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 216.36/216.39 ** KEPT (pick-wt=17): 49 [] -hBOOL(hAPP(hAPP(A,B),C))|c_ListOrder_Ostep1(A,c_List_Olist_OCons(B,D,E),c_List_Olist_OCons(C,D,E),E).
% 216.36/216.39 ** KEPT (pick-wt=17): 50 [] A=B|C=D| -c_ListOrder_Ostep1(E,c_List_Olist_OCons(B,D,F),c_List_Olist_OCons(A,C,F),F).
% 216.36/216.39 ** KEPT (pick-wt=17): 51 [] -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat)|c_List_Olist__update(B,A,c_List_Onth(B,A,C),C)=B.
% 216.36/216.39 ** KEPT (pick-wt=14): 52 [] -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).
% 216.36/216.39 ** KEPT (pick-wt=23): 53 [] c_List_Olist_OCons(c_List_Onth(A,B,C),c_List_Odrop(c_Suc(B),A,C),C)=c_List_Odrop(B,A,C)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=10): 54 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=10): 55 [] 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).
% 216.36/216.39 ** KEPT (pick-wt=17): 56 [] -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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),A).
% 216.36/216.39 ** KEPT (pick-wt=17): 57 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 216.36/216.39 ** KEPT (pick-wt=18): 58 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),B)).
% 216.36/216.39 ** KEPT (pick-wt=13): 59 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ominus__class_Ominus(B,C,A)),C)=B.
% 216.36/216.39 ** KEPT (pick-wt=16): 60 [] c_ListOrder_Ostep1(A,c_List_Oappend(B,C,D),c_List_Oappend(B,E,D),D)| -c_ListOrder_Ostep1(A,C,E,D).
% 216.36/216.39 ** KEPT (pick-wt=16): 61 [] -c_ListOrder_Ostep1(A,B,C,D)|c_ListOrder_Ostep1(A,c_List_Oappend(B,E,D),c_List_Oappend(C,E,D),D).
% 216.36/216.39 ** KEPT (pick-wt=24): 62 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E),A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(B,D,A).
% 216.36/216.39 ** KEPT (pick-wt=9): 63 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=9): 64 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 216.36/216.39 Following clause subsumed by 63 during input processing: 0 [] -c_lesse_quals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=13): 65 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=19): 67 [copy,66,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)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=27): 69 [copy,68,flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,C,A)),c_Divides_Odiv__class_Omod(D,C,A)),C,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),C,A).
% 216.36/216.39 ** KEPT (pick-wt=22): 70 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 216.36/216.39 ** KEPT (pick-wt=14): 71 [] -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).
% 216.36/216.39 ** KEPT (pick-wt=14): 72 [] -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).
% 216.36/216.39 ** KEPT (pick-wt=16): 73 [] c_List_Onth(c_List_Otake(A,B,C),D,C)=c_List_Onth(B,D,C)| -c_HOL_Oord__class_Oless(D,A,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=25): 75 [copy,74,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 216.36/216.39 ** KEPT (pick-wt=25): 76 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)).
% 216.36/216.39 ** KEPT (pick-wt=25): 77 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 216.36/216.39 ** KEPT (pick-wt=25): 78 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)).
% 216.36/216.39 ** KEPT (pick-wt=25): 79 [] -class_OrderedGroup_Oab__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 216.36/216.39 ** KEPT (pick-wt=8): 80 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 216.36/216.39 ** KEPT (pick-wt=29): 81 [] c_List_Onth(A,B,C)!=c_List_Onth(A,D,C)|B=D| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat)| -c_List_Odistinct(A,C).
% 216.36/216.39 Following clause subsumed by 81 during input processing: 0 [] c_List_Onth(A,B,C)!=c_List_Onth(A,D,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat)| -c_List_Odistinct(A,C)|B=D.
% 216.36/216.39 ** KEPT (pick-wt=22): 82 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),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).
% 216.36/216.39 ** KEPT (pick-wt=22): 83 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),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).
% 216.36/216.39 ** KEPT (pick-wt=12): 84 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=12): 85 [] A=B| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 216.36/216.39 Following clause subsumed by 84 during input processing: 0 [] A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=13): 86 [] c_Lambda_OdB_OAbs(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|C=c_List_Olist_ONil(tc_Lambda_OdB).
% 216.36/216.39 ** KEPT (pick-wt=8): 87 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oone__class_Oone(A),A).
% 216.36/216.39 ** KEPT (pick-wt=11): 88 [] 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).
% 216.36/216.39 ** KEPT (pick-wt=13): 89 [] c_List_Onth(c_List_Oreplicate(A,B,C),D,C)=B| -c_HOL_Oord__class_Oless(D,A,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=10): 90 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,c_HOL_Oone__class_Oone(A),A)=c_HOL_Ozero__class_Ozero(A).
% 216.36/216.39 ** KEPT (pick-wt=10): 91 [] c_Divides_Odiv__class_Omod(A,B,tc_nat)=A| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=14): 92 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 216.36/216.39 ** KEPT (pick-wt=4): 93 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 216.36/216.39 Following clause subsumed by 93 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=6): 94 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 216.36/216.39 ** KEPT (pick-wt=6): 95 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 216.36/216.39 ** KEPT (pick-wt=6): 96 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 216.36/216.39 ** KEPT (pick-wt=9): 97 [] A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 216.36/216.39 ** KEPT (pick-wt=22): 98 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),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).
% 216.36/216.39 ** KEPT (pick-wt=19): 99 [] c_ListOrder_Ostep1(A,B,C,D)|C=B| -c_ListOrder_Ostep1(A,c_List_Olist_OCons(E,B,D),c_List_Olist_OCons(F,C,D),D).
% 216.36/216.39 ** KEPT (pick-wt=8): 100 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_lesse_quals(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(A),A).
% 216.36/216.39 ** KEPT (pick-wt=13): 101 [] -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.
% 216.36/216.39 ** KEPT (pick-wt=13): 102 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 216.36/216.39 ** KEPT (pick-wt=11): 103 [] A=B| -c_lesse_quals(B,A,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=17): 104 [] 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.
% 216.36/216.40 ** KEPT (pick-wt=13): 105 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 216.36/216.40 Following clause subsumed by 102 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.
% 216.36/216.40 Following clause subsumed by 105 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 216.36/216.40 Following clause subsumed by 105 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 216.36/216.40 Following clause subsumed by 102 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).
% 216.36/216.40 Following clause subsumed by 102 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).
% 216.36/216.40 ** KEPT (pick-wt=35): 106 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=14): 107 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=14): 108 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=13): 109 [] 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).
% 216.36/216.40 Following clause subsumed by 109 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).
% 216.36/216.40 ** KEPT (pick-wt=24): 110 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 216.36/216.40 ** KEPT (pick-wt=8): 111 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.40 Following clause subsumed by 111 during input processing: 0 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=10): 112 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 216.36/216.40 ** KEPT (pick-wt=10): 113 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 216.36/216.40 ** KEPT (pick-wt=22): 114 [] c_List_Onth(c_List_Omap(A,B,C,D),E,D)=hAPP(A,c_List_Onth(B,E,C))| -c_HOL_Oord__class_Oless(E,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 216.36/216.40 Following clause subsumed by 43 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.40 Following clause subsumed by 43 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=14): 115 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=14): 116 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=13): 117 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=20): 118 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A)| -c_lesse_quals(B,D,A).
% 216.36/216.40 ** KEPT (pick-wt=20): 119 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A).
% 216.36/216.40 ** KEPT (pick-wt=20): 120 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A)| -c_lesse_quals(C,D,A).
% 216.36/216.40 ** KEPT (pick-wt=20): 121 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A).
% 216.36/216.40 ** KEPT (pick-wt=20): 122 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A)| -c_lesse_quals(B,D,A).
% 216.36/216.40 ** KEPT (pick-wt=20): 123 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A)| -c_lesse_quals(C,D,A).
% 216.36/216.40 ** KEPT (pick-wt=8): 124 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=19): 125 [] hAPP(c_Type_Oshift(A,B,C,D),E)=hAPP(A,c_HOL_Ominus__class_Ominus(E,c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(B,E,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=12): 126 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Oone__class_Oone(A)),A).
% 216.36/216.40 ** KEPT (pick-wt=20): 127 [] -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lesse_quals(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 216.36/216.40 ** KEPT (pick-wt=20): 128 [] -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|c_lesse_quals(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 216.36/216.40 ** KEPT (pick-wt=19): 129 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),C)=c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(C,A,tc_nat).
% 216.36/216.40 Following clause subsumed by 129 during input processing: 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),C)=c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(C,A,tc_nat).
% 216.36/216.40 Following clause subsumed by 93 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).
% 216.36/216.40 ** KEPT (pick-wt=16): 130 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),C,A)=c_Divides_Odiv__class_Omod(B,C,A).
% 216.36/216.40 ** KEPT (pick-wt=16): 131 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),B,A)=c_Divides_Odiv__class_Omod(C,B,A).
% 216.36/216.40 ** KEPT (pick-wt=15): 132 [] hAPP(c_Type_Oshift(A,B,C,D),E)=hAPP(A,E)| -c_HOL_Oord__class_Oless(E,B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=9): 133 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=9): 134 [] c_lesse_quals(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=5): 135 [] -c_lesse_quals(c_Suc(A),A,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=22): 136 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=22): 137 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=20): 138 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 216.36/216.40 ** KEPT (pick-wt=17): 139 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 216.36/216.40 ** KEPT (pick-wt=17): 140 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A).
% 216.36/216.40 ** KEPT (pick-wt=4): 141 [] c_Suc(A)!=A.
% 216.36/216.40 Following clause subsumed by 141 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 216.36/216.40 ** KEPT (pick-wt=20): 142 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 216.36/216.40 ** KEPT (pick-wt=20): 143 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 216.36/216.40 ** KEPT (pick-wt=20): 144 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A).
% 216.36/216.40 ** KEPT (pick-wt=20): 145 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 216.36/216.40 ** KEPT (pick-wt=20): 146 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 216.36/216.40 ** KEPT (pick-wt=20): 147 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A).
% 216.36/216.40 ** KEPT (pick-wt=12): 148 [] -hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|hBOOL(hAPP(A,B)).
% 216.36/216.40 ** KEPT (pick-wt=12): 149 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 216.36/216.40 Following clause subsumed by 75 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 216.36/216.40 ** KEPT (pick-wt=25): 150 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)),C).
% 216.36/216.40 ** KEPT (pick-wt=25): 151 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)).
% 216.36/216.40 Following clause subsumed by 75 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 216.36/216.40 ** KEPT (pick-wt=25): 152 [] c_List_Onth(c_List_Orev(A,B),C,B)=c_List_Onth(A,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_Suc(C),tc_nat),B)| -c_HOL_Oord__class_Oless(C,c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=5): 153 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 216.36/216.40 Following clause subsumed by 153 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=28): 154 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),E)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)=E.
% 216.36/216.40 ** KEPT (pick-wt=20): 156 [copy,155,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).
% 216.36/216.40 ** KEPT (pick-wt=20): 158 [copy,157,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).
% 216.36/216.40 ** KEPT (pick-wt=12): 159 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=10): 160 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 216.36/216.40 Following clause subsumed by 95 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 216.36/216.40 Following clause subsumed by 160 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 216.36/216.40 ** KEPT (pick-wt=10): 161 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 216.36/216.40 Following clause subsumed by 160 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 216.36/216.40 Following clause subsumed by 161 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 216.36/216.40 Following clause subsumed by 160 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 216.36/216.40 ** KEPT (pick-wt=10): 162 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 216.36/216.40 ** KEPT (pick-wt=24): 164 [copy,163,flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,C,A)),D),C,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),C,A).
% 216.36/216.40 ** KEPT (pick-wt=24): 166 [copy,165,flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(C,D,A)),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 216.36/216.40 ** KEPT (pick-wt=22): 167 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 216.36/216.40 ** KEPT (pick-wt=14): 168 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=14): 169 [] 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).
% 216.36/216.40 Following clause subsumed by 169 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).
% 216.36/216.40 ** KEPT (pick-wt=22): 170 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=14): 171 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 216.36/216.40 ** KEPT (pick-wt=14): 172 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 216.36/216.40 ** KEPT (pick-wt=20): 173 [] 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.
% 216.36/216.40 Following clause subsumed by 2 during input processing: 0 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 216.36/216.40 ** KEPT (pick-wt=14): 174 [] -class_Int_Oring__char__0(A)| -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_Int_Onumber__class_Onumber__of(C,A)|B=C.
% 216.36/216.40 ** KEPT (pick-wt=14): 175 [] c_List_Orotate(A,B,C)=B| -c_lesse_quals(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=22): 176 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),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).
% 216.36/216.40 ** KEPT (pick-wt=14): 177 [] -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.
% 216.36/216.40 ** KEPT (pick-wt=12): 178 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 216.36/216.40 ** KEPT (pick-wt=12): 179 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 216.36/216.40 Following clause subsumed by 109 during input processing: 0 [flip.1] c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))=c_Int_Onumber__class_Onumber__of(A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=23): 180 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=22): 181 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),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).
% 216.36/216.40 ** KEPT (pick-wt=22): 182 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),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).
% 216.36/216.40 ** KEPT (pick-wt=18): 183 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=13): 184 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)|c_Suc(A)=B| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=9): 185 [] -c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(B),A,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=20): 186 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)|C=D.
% 216.36/216.40 ** KEPT (pick-wt=18): 187 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)|C=D.
% 216.36/216.40 ** KEPT (pick-wt=18): 188 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)|C=D.
% 216.36/216.40 ** KEPT (pick-wt=18): 189 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C)|B=D.
% 216.36/216.40 ** KEPT (pick-wt=13): 190 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(C)|B=c_List_Olist_ONil(tc_Lambda_OdB).
% 216.36/216.40 ** KEPT (pick-wt=23): 192 [copy,191,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).
% 216.36/216.40 ** KEPT (pick-wt=15): 193 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=20): 194 [] A=B|hBOOL(hAPP(hAPP(C,B),A))| -c_ListOrder_Ostep1(C,c_List_Olist_OCons(B,D,E),c_List_Olist_OCons(A,F,E),E).
% 216.36/216.40 ** KEPT (pick-wt=9): 195 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 216.36/216.40 ** KEPT (pick-wt=35): 196 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),E)).
% 216.36/216.40 ** KEPT (pick-wt=13): 197 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=13): 198 [] A=c_Suc(B)|c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(A,c_Suc(B),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=9): 199 [] -c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=14): 200 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Oone__class_Oone(A)),c_HOL_Oone__class_Oone(A)),A).
% 216.36/216.40 ** KEPT (pick-wt=11): 201 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 216.36/216.40 ** KEPT (pick-wt=11): 202 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 216.36/216.40 ** KEPT (pick-wt=13): 204 [copy,203,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 216.36/216.40 ** KEPT (pick-wt=11): 205 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 216.36/216.40 ** KEPT (pick-wt=11): 206 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 216.36/216.40 ** KEPT (pick-wt=11): 207 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 216.36/216.40 ** KEPT (pick-wt=11): 208 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 216.36/216.40 Following clause subsumed by 201 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 216.36/216.40 ** KEPT (pick-wt=20): 209 [] c_List_Olist__update(A,B,C,D)!=A| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat)|c_List_Onth(A,B,D)=C.
% 216.36/216.40 ** KEPT (pick-wt=14): 210 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),B)).
% 216.36/216.40 ** KEPT (pick-wt=13): 211 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),C,A)=B.
% 216.36/216.40 ** KEPT (pick-wt=24): 212 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(B,D,A).
% 216.36/216.40 ** KEPT (pick-wt=24): 213 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E),A)| -c_lesse_quals(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 216.36/216.40 ** KEPT (pick-wt=10): 214 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=10): 215 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat).
% 216.36/216.40 Following clause subsumed by 214 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).
% 216.36/216.40 ** KEPT (pick-wt=17): 216 [] -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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),A).
% 216.36/216.40 ** KEPT (pick-wt=17): 217 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 216.36/216.40 ** KEPT (pick-wt=9): 218 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A)),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=25): 219 [] A=B|C=D| -c_ListOrder_Ostep1(E,c_List_Oappend(A,c_List_Olist_OCons(C,c_List_Olist_ONil(F),F),F),c_List_Oappend(B,c_List_Olist_OCons(D,c_List_Olist_ONil(F),F),F),F).
% 216.36/216.40 ** KEPT (pick-wt=28): 220 [] hBOOL(hAPP(hAPP(A,B),C))|B=C| -c_ListOrder_Ostep1(A,c_List_Oappend(D,c_List_Olist_OCons(B,c_List_Olist_ONil(E),E),E),c_List_Oappend(F,c_List_Olist_OCons(C,c_List_Olist_ONil(E),E),E),E).
% 216.36/216.40 ** KEPT (pick-wt=30): 221 [] hBOOL(hAPP(hAPP(A,B),C))|c_ListOrder_Ostep1(A,D,E,F)| -c_ListOrder_Ostep1(A,c_List_Oappend(D,c_List_Olist_OCons(B,c_List_Olist_ONil(F),F),F),c_List_Oappend(E,c_List_Olist_OCons(C,c_List_Olist_ONil(F),F),F),F).
% 216.36/216.40 ** KEPT (pick-wt=27): 222 [] A=B|c_ListOrder_Ostep1(C,A,B,D)| -c_ListOrder_Ostep1(C,c_List_Oappend(A,c_List_Olist_OCons(E,c_List_Olist_ONil(D),D),D),c_List_Oappend(B,c_List_Olist_OCons(F,c_List_Olist_ONil(D),D),D),D).
% 216.36/216.40 ** KEPT (pick-wt=14): 223 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 216.36/216.40 ** KEPT (pick-wt=14): 224 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=14): 225 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=22): 226 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_lesse_quals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),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).
% 216.36/216.40 ** KEPT (pick-wt=14): 227 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 216.36/216.40 ** KEPT (pick-wt=12): 228 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=6): 229 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 216.36/216.40 ** KEPT (pick-wt=6): 230 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 216.36/216.40 ** KEPT (pick-wt=14): 231 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=14): 232 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=24): 233 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A)| -c_lesse_quals(E,D,A)| -c_lesse_quals(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),E),A).
% 216.36/216.40 ** KEPT (pick-wt=22): 234 [] c_ListOrder_Ostep1(A,B,C,D)|hBOOL(hAPP(hAPP(A,E),F))| -c_ListOrder_Ostep1(A,c_List_Olist_OCons(E,B,D),c_List_Olist_OCons(F,C,D),D).
% 216.36/216.40 ** KEPT (pick-wt=16): 235 [] c_ListOrder_Ostep1(A,c_List_Olist_OCons(B,C,D),c_List_Olist_OCons(B,E,D),D)| -c_ListOrder_Ostep1(A,C,E,D).
% 216.36/216.40 ** KEPT (pick-wt=8): 236 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 216.36/216.40 ** KEPT (pick-wt=16): 237 [] 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))).
% 216.36/216.40 ** KEPT (pick-wt=12): 238 [] A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=8): 239 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 216.36/216.40 ** KEPT (pick-wt=5): 240 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 216.36/216.40 ** KEPT (pick-wt=12): 241 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=12): 242 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=9): 243 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=9): 244 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=14): 245 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=17): 246 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=19): 247 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=19): 248 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=19): 249 [] -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).
% 216.36/216.40 ** KEPT (pick-wt=19): 250 [] -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).
% 216.36/216.40 Following clause subsumed by 164 during input processing: 0 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,C,A)),D),C,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),C,A).
% 216.36/216.40 Following clause subsumed by 166 during input processing: 0 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(C,D,A)),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 216.36/216.40 ** KEPT (pick-wt=13): 251 [] 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).
% 216.36/216.40 ** KEPT (pick-wt=23): 252 [] c_List_Onth(c_List_Olist__update(A,B,C,D),E,D)=c_List_Onth(A,E,D)|B=E| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=13): 253 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 216.36/216.40 Following clause subsumed by 253 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 216.36/216.40 ** KEPT (pick-wt=11): 254 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lesse_quals(A,B,tc_nat).
% 216.36/216.40 Following clause subsumed by 254 during input processing: 0 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 216.36/216.40 Following clause subsumed by 254 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lesse_quals(A,B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=13): 255 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 216.36/216.40 Following clause subsumed by 255 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 216.36/216.40 Following clause subsumed by 255 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 216.36/216.40 Following clause subsumed by 255 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 216.36/216.40 ** KEPT (pick-wt=13): 256 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 216.36/216.40 Following clause subsumed by 256 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 216.36/216.40 ** KEPT (pick-wt=10): 257 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=10): 258 [] c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=10): 259 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 216.36/216.40 ** KEPT (pick-wt=22): 260 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(A,C),E)).
% 216.36/216.40 ** KEPT (pick-wt=22): 261 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 216.36/216.40 ** KEPT (pick-wt=10): 262 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 216.36/216.40 ** KEPT (pick-wt=10): 263 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 216.36/216.40 ** KEPT (pick-wt=10): 264 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 216.36/216.40 Following clause subsumed by 264 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 216.36/216.40 ** KEPT (pick-wt=27): 265 [] c_List_Otake(c_Suc(A),B,C)=c_List_Oappend(c_List_Otake(A,B,C),c_List_Olist_OCons(c_List_Onth(B,A,C),c_List_Olist_ONil(C),C),C)| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=26): 267 [copy,266,flip.1] c_List_Oappend(c_List_Otake(A,B,C),c_List_Olist_OCons(c_List_Onth(B,A,C),c_List_Odrop(c_Suc(A),B,C),C),C)=B| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=23): 268 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A),C,A,A))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),B,C,A,A).
% 216.36/216.40 ** KEPT (pick-wt=13): 269 [] -c_lesse_quals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C)),c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 216.36/216.40 ** KEPT (pick-wt=32): 270 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),D)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 216.36/216.40 ** KEPT (pick-wt=24): 271 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 216.36/216.40 ** KEPT (pick-wt=24): 272 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,A),C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),C)).
% 216.36/216.40 ** KEPT (pick-wt=13): 273 [] c_Lambda_OdB_OAbs(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OAbs(A)=B.
% 216.36/216.40 ** KEPT (pick-wt=18): 274 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|B=D.
% 216.36/216.40 ** KEPT (pick-wt=18): 275 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|A=C.
% 216.36/216.40 ** KEPT (pick-wt=13): 276 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(C)|A=c_Lambda_OdB_OAbs(C).
% 216.36/216.40 ** KEPT (pick-wt=20): 277 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=C.
% 216.36/216.40 ** KEPT (pick-wt=26): 278 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),C)),hAPP(hAPP(hAPP(c_Lambda_Osubst,A),D),C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,B),D)).
% 216.36/216.40 ** KEPT (pick-wt=28): 279 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),C)),hAPP(hAPP(hAPP(c_Lambda_Osubst,D),B),C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),D)).
% 216.36/216.40 ** KEPT (pick-wt=28): 280 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),C)),hAPP(hAPP(hAPP(c_Lambda_Osubst,A),D),C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D)).
% 216.36/216.40 ** KEPT (pick-wt=20): 281 [] c_ListOrder_Ostep1(c_Lambda_Obeta,A,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(B,A,C),tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(B),A,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 216.36/216.41 ** KEPT (pick-wt=15): 282 [] c_List_Odrop(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Onth(B,A,C)=D.
% 216.36/216.41 ** KEPT (pick-wt=13): 283 [] c_List_Otake(A,B,C)=B| -c_lesse_quals(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=16): 284 [] c_Type_Otyping(A,B,c_Type_Osko__Type__Xtyping__elims__2__1(C,A,D,B))| -c_Type_Otyping(A,hAPP(hAPP(c_Lambda_OdB_OApp,D),B),C).
% 216.36/216.41 ** KEPT (pick-wt=14): 285 [] c_List_Olist__update(A,B,C,D)=A| -c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),B,tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=16): 286 [] c_Type_Otyping(A,B,C)| -c_Type_Otyping(A,D,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),D),B)).
% 216.36/216.41 ** KEPT (pick-wt=15): 287 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),C)=c_Lambda_OdB_OVar(A)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=24): 288 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_Olift,A),B)),hAPP(hAPP(c_Lambda_Olift,C),B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 216.36/216.41 ** KEPT (pick-wt=17): 289 [] -class_OrderedGroup_Oab__semigroup__add(A)|c_List_Ofoldr(c_HOL_Oplus__class_Oplus(A),B,C,A,A)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),C,B,A,A).
% 216.36/216.41 ** KEPT (pick-wt=13): 290 [] hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(A)),B)=c_Lambda_OdB_OVar(A)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=20): 291 [] c_Int_Onumber__class_Onumber__of(A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Odrop(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,C,D).
% 216.36/216.41 ** KEPT (pick-wt=26): 292 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,C,B,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 216.36/216.41 ** KEPT (pick-wt=21): 293 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,A,C,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_ListOrder_Ostep1(c_Lambda_Obeta,B,C,tc_Lambda_OdB).
% 216.36/216.41 ** KEPT (pick-wt=14): 294 [] c_List_Odrop(A,B,C)!=c_List_Olist_ONil(C)|c_lesse_quals(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=14): 295 [] c_List_Odrop(A,B,C)=c_List_Olist_ONil(C)| -c_lesse_quals(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=28): 296 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Otake(c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),A,C)=D|c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=28): 298 [copy,297,flip.2] c_List_Oappend(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),D,C)=A| -c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=31): 299 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,E,C)|B=c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),D,C),E,C)| -c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=31): 300 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),A,C),B,C)=E|c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=24): 302 [copy,301,flip.1] c_List_Oappend(c_List_Olist__update(A,B,C,D),E,D)=c_List_Olist__update(c_List_Oappend(A,E,D),B,C,D)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 216.36/216.41 Following clause subsumed by 302 during input processing: 0 [flip.1] c_List_Oappend(c_List_Olist__update(A,D,E,C),B,C)=c_List_Olist__update(c_List_Oappend(A,B,C),D,E,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=15): 303 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 216.36/216.41 ** KEPT (pick-wt=13): 304 [] c_Lambda_OdB_OVar(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|C=c_List_Olist_ONil(tc_Lambda_OdB).
% 216.36/216.41 ** KEPT (pick-wt=14): 305 [] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 216.36/216.41 ** KEPT (pick-wt=27): 307 [copy,306,flip.1] c_List_Oappend(c_List_Otake(A,B,C),c_List_Olist_OCons(D,c_List_Odrop(c_Suc(A),B,C),C),C)=c_List_Olist__update(B,A,D,C)| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=19): 309 [copy,308,flip.2] -class_OrderedGroup_Omonoid__add(A)|c_List_Ofoldr(c_HOL_Oplus__class_Oplus(A),B,c_HOL_Ozero__class_Ozero(A),A,A)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A),B,A,A).
% 216.36/216.41 ** KEPT (pick-wt=23): 311 [copy,310,flip.2] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(A),C,c_HOL_Ozero__class_Ozero(A),A,A))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),B,C,A,A).
% 216.36/216.41 ** KEPT (pick-wt=16): 312 [] c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Orotate(A,B,C)=B.
% 216.36/216.41 ** KEPT (pick-wt=20): 313 [] c_Type_Otyping(A,B,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(C,A,B,D)),C))| -c_Type_Otyping(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),D),C).
% 216.36/216.41 ** KEPT (pick-wt=18): 314 [] c_Int_Onumber__class_Onumber__of(A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Otake(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_ONil(D).
% 216.36/216.41 ** KEPT (pick-wt=24): 316 [copy,315,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(A,B,C),tc_Lambda_OdB,tc_Lambda_OdB)=C| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 216.36/216.41 ** KEPT (pick-wt=37): 318 [copy,317,flip.3] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B)!=A|c_lesse_quals(c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat)|c_List_Oappend(A,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B),D,B),B)=c_List_Oappend(C,D,B).
% 216.36/216.41 ** KEPT (pick-wt=37): 320 [copy,319,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B)!=A|c_List_Oappend(A,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B),D,B),B)=c_List_Oappend(C,D,B)| -c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=17): 321 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xlist__app__typeD__1__1(C,A,D,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,D,B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 216.36/216.41 ** KEPT (pick-wt=17): 322 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xlist__app__typeE__1__1(C,A,D,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,D,B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 216.36/216.41 ** KEPT (pick-wt=18): 323 [] c_Type_Otyping(A,c_Lambda_OdB_OAbs(B),hAPP(hAPP(c_Type_Otype_OFun,C),D))| -c_Type_Otyping(c_Type_Oshift(A,c_HOL_Ozero__class_Ozero(tc_nat),C,tc_Type_Otype),B,D).
% 216.36/216.41 ** KEPT (pick-wt=34): 324 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B),C,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(c_InductTermi_OIT,B))| -hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),c_HOL_Ozero__class_Ozero(tc_nat)),C,tc_Lambda_OdB,tc_Lambda_OdB))).
% 216.36/216.41 ** KEPT (pick-wt=18): 325 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xvar__app__typesE__1__1(C,A,D,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 216.36/216.41 ** KEPT (pick-wt=37): 326 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xvar__app__types__1__1(C,D,A,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),D)| -c_Type_Otypings(A,F,G)| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 216.36/216.41 ** KEPT (pick-wt=22): 327 [] c_Type_Otyping(A,B,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(C,A,B,D),C,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,B,D,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 216.36/216.41 ** KEPT (pick-wt=22): 328 [] c_Type_Otyping(A,B,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(C,A,B,D),C,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,B,D,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 216.36/216.41 ** KEPT (pick-wt=24): 329 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(C,A,B,D),C,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(B),D,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 216.36/216.41 ** KEPT (pick-wt=41): 331 [copy,330,flip.1] c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(A,B,C,D),A,tc_Type_Otype,tc_Type_Otype)=B| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),B)| -c_Type_Otypings(C,F,G)| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),D,tc_Lambda_OdB,tc_Lambda_OdB),A).
% 216.36/216.41 ** KEPT (pick-wt=22): 332 [] c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB),D)| -c_Type_Otypings(A,C,E)| -c_Type_Otyping(A,B,c_List_Ofoldr(c_Type_Otype_OFun,E,D,tc_Type_Otype,tc_Type_Otype)).
% 216.36/216.41 ** KEPT (pick-wt=20): 333 [] c_List_Orev(A,B)!=c_List_Olist_OCons(C,D,B)|A=c_List_Oappend(c_List_Orev(D,B),c_List_Olist_OCons(C,c_List_Olist_ONil(B),B),B).
% 216.36/216.41 ** KEPT (pick-wt=15): 334 [] c_List_Otake(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=7): 335 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 216.36/216.41 Following clause subsumed by 335 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 216.36/216.41 ** KEPT (pick-wt=16): 336 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,B,tc_Lambda_OdB,tc_Lambda_OdB)|A=C.
% 216.36/216.41 ** KEPT (pick-wt=20): 337 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,A),C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,B),C)).
% 216.36/216.41 ** KEPT (pick-wt=20): 338 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 216.36/216.41 ** KEPT (pick-wt=9): 339 [] c_List_Odistinct(c_List_Odrop(A,B,C),C)| -c_List_Odistinct(B,C).
% 216.36/216.41 ** KEPT (pick-wt=8): 340 [] c_List_Odistinct(c_List_Orev(A,B),B)| -c_List_Odistinct(A,B).
% 216.36/216.41 ** KEPT (pick-wt=8): 341 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Orev(A,B),B).
% 216.36/216.41 ** KEPT (pick-wt=10): 342 [] c_List_Orev(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 216.36/216.41 ** KEPT (pick-wt=20): 343 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,A),B)),hAPP(hAPP(c_Lambda_Olift,C),B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 216.36/216.41 ** KEPT (pick-wt=6): 344 [] c_List_Olist_OCons(A,B,C)!=B.
% 216.36/216.41 Following clause subsumed by 344 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 216.36/216.41 ** KEPT (pick-wt=13): 345 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,A),c_Lambda_OdB_OVar(B))))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 216.36/216.41 ** KEPT (pick-wt=16): 346 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|B=E|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.41 ** KEPT (pick-wt=22): 347 [] -c_Type_Otyping(A,B,C)| -c_Type_Otyping(c_Type_Oshift(A,D,C,tc_Type_Otype),E,F)|c_Type_Otyping(A,hAPP(hAPP(hAPP(c_Lambda_Osubst,E),B),D),F).
% 216.36/216.41 ** KEPT (pick-wt=9): 348 [] c_List_Odistinct(c_List_Otake(A,B,C),C)| -c_List_Odistinct(B,C).
% 216.36/216.41 ** KEPT (pick-wt=9): 349 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Olist_OCons(C,A,B),B).
% 216.36/216.41 ** KEPT (pick-wt=8): 350 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 216.36/216.41 ** KEPT (pick-wt=12): 351 [] c_List_Olist__update(A,B,C,D)!=c_List_Olist_ONil(D)|A=c_List_Olist_ONil(D).
% 216.36/216.41 ** KEPT (pick-wt=16): 352 [] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)!=c_List_Orev(C,B)|C=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 216.36/216.41 ** KEPT (pick-wt=11): 353 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(B,D,C),C).
% 216.36/216.41 ** KEPT (pick-wt=11): 354 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(D,B,C),C).
% 216.36/216.41 ** KEPT (pick-wt=12): 355 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|A=D.
% 216.36/216.41 ** KEPT (pick-wt=12): 356 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,B,C)|A=D.
% 216.36/216.41 ** KEPT (pick-wt=12): 357 [] c_List_Oappend(A,B,C)!=c_List_Oappend(A,D,C)|B=D.
% 216.36/216.41 ** KEPT (pick-wt=9): 358 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(A,C,B),B).
% 216.36/216.41 ** KEPT (pick-wt=9): 359 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(C,A,B),B).
% 216.36/216.41 ** KEPT (pick-wt=16): 360 [] c_List_Orev(A,B)!=c_List_Olist_OCons(C,c_List_Olist_ONil(B),B)|A=c_List_Olist_OCons(C,c_List_Olist_ONil(B),B).
% 216.36/216.41 ** KEPT (pick-wt=10): 361 [] hAPP(A,B)=C| -c_Type_Otyping(A,c_Lambda_OdB_OVar(B),C).
% 216.36/216.41 ** KEPT (pick-wt=37): 363 [copy,362,flip.1] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=v_T____|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,C),D),E)))| -c_Type_Otyping(F,D,A)| -hBOOL(hAPP(c_InductTermi_OIT,D))| -c_Type_Otyping(c_Type_Oshift(F,E,A,tc_Type_Otype),C,G)| -hBOOL(hAPP(c_InductTermi_OIT,C)).
% 216.36/216.41 ** KEPT (pick-wt=37): 365 [copy,364,flip.1] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=v_T____|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,C),D),E)))| -c_Type_Otyping(F,D,B)| -hBOOL(hAPP(c_InductTermi_OIT,D))| -c_Type_Otyping(c_Type_Oshift(F,E,B,tc_Type_Otype),C,G)| -hBOOL(hAPP(c_InductTermi_OIT,C)).
% 216.36/216.41 ** KEPT (pick-wt=12): 366 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,A),B)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 216.36/216.41 ** KEPT (pick-wt=11): 367 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|B=c_List_Olist_ONil(A).
% 216.36/216.41 ** KEPT (pick-wt=11): 368 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|C=c_List_Olist_ONil(A).
% 216.36/216.41 ** KEPT (pick-wt=11): 369 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|A=c_List_Olist_ONil(C).
% 216.36/216.41 ** KEPT (pick-wt=11): 370 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 216.36/216.41 ** KEPT (pick-wt=21): 372 [copy,371,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B)!=A|c_List_Oappend(A,c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B),B)=C.
% 216.36/216.41 ** KEPT (pick-wt=8): 373 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 216.36/216.41 ** KEPT (pick-wt=13): 374 [] c_Lambda_OdB_OVar(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OVar(A)=B.
% 216.36/216.41 ** KEPT (pick-wt=22): 375 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,C,B,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 216.36/216.41 ** KEPT (pick-wt=23): 376 [] A=B| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),E,tc_Lambda_OdB,tc_Lambda_OdB),B)| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),E,tc_Lambda_OdB,tc_Lambda_OdB),A).
% 216.36/216.41 ** KEPT (pick-wt=14): 377 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 216.36/216.41 ** KEPT (pick-wt=14): 378 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 216.36/216.41 ** KEPT (pick-wt=14): 379 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_List_Olistsp(c_InductTermi_OIT,B,tc_Lambda_OdB).
% 216.36/216.41 ** KEPT (pick-wt=7): 380 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 216.36/216.41 ** KEPT (pick-wt=20): 381 [] c_Type_Otyping(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),C),D)| -c_Type_Otyping(A,C,E)| -c_Type_Otyping(A,B,hAPP(hAPP(c_Type_Otype_OFun,E),D)).
% 216.36/216.41 ** KEPT (pick-wt=7): 382 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(A)),B)).
% 216.36/216.41 ** KEPT (pick-wt=10): 383 [] c_List_Orev(A,B)!=c_List_Orev(C,B)|A=C.
% 216.36/216.41 ** KEPT (pick-wt=9): 384 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Orotate(C,A,B),B).
% 216.36/216.41 ** KEPT (pick-wt=9): 385 [] c_List_Odistinct(c_List_Orotate(A,B,C),C)| -c_List_Odistinct(B,C).
% 216.36/216.42 ** KEPT (pick-wt=11): 386 [] c_List_Oreplicate(A,B,C)!=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=15): 387 [] c_List_Olistsp(A,c_List_Oappend(B,C,D),D)| -c_List_Olistsp(A,C,D)| -c_List_Olistsp(A,B,D).
% 216.36/216.42 ** KEPT (pick-wt=11): 388 [] c_List_Olist_ONil(A)!=c_List_Oreplicate(B,C,A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=11): 389 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_List_Olist_ONil(B).
% 216.36/216.42 ** KEPT (pick-wt=10): 390 [] c_List_Olist_ONil(A)!=c_List_Orev(B,A)|B=c_List_Olist_ONil(A).
% 216.36/216.42 ** KEPT (pick-wt=11): 391 [] c_List_Orotate(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 216.36/216.42 ** KEPT (pick-wt=15): 392 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),c_Lambda_OdB_OVar(B)),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 216.36/216.42 ** KEPT (pick-wt=10): 393 [] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 216.36/216.42 Following clause subsumed by 393 during input processing: 0 [flip.1] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 216.36/216.42 ** KEPT (pick-wt=10): 394 [] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 216.36/216.42 Following clause subsumed by 394 during input processing: 0 [flip.1] c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 216.36/216.42 ** KEPT (pick-wt=14): 395 [] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=hAPP(hAPP(c_Type_Otype_OFun,C),D)|B=D.
% 216.36/216.42 ** KEPT (pick-wt=14): 396 [] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=hAPP(hAPP(c_Type_Otype_OFun,C),D)|A=C.
% 216.36/216.42 ** KEPT (pick-wt=57): 398 [copy,397,flip.3] c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),A,B),D,B),B)!=D|c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B)!=A|c_List_Otake(c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),A,B)!=C|c_List_Oappend(C,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),A,B),D,B),B)=c_List_Oappend(A,D,B).
% 216.36/216.42 ** KEPT (pick-wt=12): 399 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 216.36/216.42 ** KEPT (pick-wt=12): 400 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 216.36/216.42 ** KEPT (pick-wt=18): 401 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|B=D.
% 216.36/216.42 ** KEPT (pick-wt=18): 402 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|A=C.
% 216.36/216.42 ** KEPT (pick-wt=14): 403 [] c_Type_Otyping(A,B,C)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,D),B))| -c_Type_Otyping(A,D,C).
% 216.36/216.42 ** KEPT (pick-wt=8): 404 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 216.36/216.42 ** KEPT (pick-wt=24): 405 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)).
% 216.36/216.42 ** KEPT (pick-wt=28): 406 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F).
% 216.36/216.42 ** KEPT (pick-wt=20): 407 [] c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)!=c_List_Oappend(D,c_List_Olist_OCons(E,c_List_Olist_ONil(C),C),C)|A=D.
% 216.36/216.42 ** KEPT (pick-wt=20): 408 [] c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)!=c_List_Oappend(D,c_List_Olist_OCons(E,c_List_Olist_ONil(C),C),C)|B=E.
% 216.36/216.42 ** KEPT (pick-wt=16): 409 [] c_Type_Otyping(c_Type_Oshift(A,B,C,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,D),B),E)| -c_Type_Otyping(A,D,E).
% 216.36/216.42 ** KEPT (pick-wt=19): 410 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),A,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)| -c_List_Olistsp(c_InductTermi_OIT,A,tc_Lambda_OdB).
% 216.36/216.42 ** KEPT (pick-wt=12): 411 [] c_List_Omap(A,B,C,D)!=c_List_Olist_ONil(D)|B=c_List_Olist_ONil(C).
% 216.36/216.42 ** KEPT (pick-wt=18): 412 [] hAPP(A,c_List_Osko__List__Xmap__idI__1__1(A,B,C))!=c_List_Osko__List__Xmap__idI__1__1(A,B,C)|c_List_Omap(A,B,C,C)=B.
% 216.36/216.42 ** KEPT (pick-wt=10): 413 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Omap(C,A,B,D),D).
% 216.36/216.42 ** KEPT (pick-wt=20): 414 [] c_List_Omap(A,B,C,D)!=c_List_Omap(A,E,C,D)|c_Nat_Osize__class_Osize(B,tc_List_Olist(C))=c_Nat_Osize__class_Osize(E,tc_List_Olist(C)).
% 216.36/216.42 ** KEPT (pick-wt=12): 415 [] c_List_Olist_ONil(A)!=c_List_Omap(B,C,D,A)|C=c_List_Olist_ONil(D).
% 216.36/216.42 ** KEPT (pick-wt=24): 416 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),C)),hAPP(hAPP(hAPP(c_Lambda_Osubst,D),B),C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),D)).
% 216.36/216.42 ** KEPT (pick-wt=28): 417 [] hAPP(A,c_List_Osko__List__Xmap__ext__1__1(A,B,C,D,E))!=hAPP(B,c_List_Osko__List__Xmap__ext__1__1(A,B,C,D,E))|c_List_Omap(A,C,D,E)=c_List_Omap(B,C,D,E).
% 216.36/216.42 ** KEPT (pick-wt=34): 418 [] c_Type_Otypings(A,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),B),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),C),D,tc_Lambda_OdB,tc_Lambda_OdB),E)| -c_Type_Otypings(c_Type_Oshift(A,C,F,tc_Type_Otype),D,E)| -c_Type_Otyping(A,B,F).
% 216.36/216.42 ** KEPT (pick-wt=28): 419 [] hAPP(A,c_List_Osko__List__Xmap__cong__1__1(A,B,C,D,E))!=hAPP(B,c_List_Osko__List__Xmap__cong__1__1(A,B,C,D,E))|c_List_Omap(A,C,D,E)=c_List_Omap(B,C,D,E).
% 216.36/216.42 ** KEPT (pick-wt=28): 420 [] hAPP(A,c_List_Osko__List__Xmap__e_q__conv__1__1(A,B,C,D,E))!=hAPP(B,c_List_Osko__List__Xmap__e_q__conv__1__1(A,B,C,D,E))|c_List_Omap(A,C,D,E)=c_List_Omap(B,C,D,E).
% 216.36/216.42 ** KEPT (pick-wt=22): 421 [] c_Type_Otypings(c_Type_Oshift(A,B,C,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),B),D,tc_Lambda_OdB,tc_Lambda_OdB),E)| -c_Type_Otypings(A,D,E).
% 216.36/216.42 ** KEPT (pick-wt=22): 422 [] -c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____).
% 216.36/216.42 ** KEPT (pick-wt=6): 423 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 216.36/216.42 ** KEPT (pick-wt=6): 424 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 216.36/216.42 ** KEPT (pick-wt=7): 425 [] A=B| -c_fe_qual(A,B,C).
% 216.36/216.42 Following clause subsumed by 240 during input processing: 0 [copy,15,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 216.36/216.42 160 back subsumes 128.
% 216.36/216.42 161 back subsumes 127.
% 216.36/216.42 183 back subsumes 137.
% 216.36/216.42 Following clause subsumed by 239 during input processing: 0 [copy,236,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 216.36/216.42 Following clause subsumed by 236 during input processing: 0 [copy,239,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 216.36/216.42 Following clause subsumed by 15 during input processing: 0 [copy,240,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 216.36/216.42 ** KEPT (pick-wt=15): 453 [copy,303,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 216.36/216.42 ** KEPT (pick-wt=14): 454 [copy,305,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C)),D).
% 216.36/216.42 Following clause subsumed by 380 during input processing: 0 [copy,335,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 216.36/216.42 Following clause subsumed by 373 during input processing: 0 [copy,350,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 216.36/216.42 Following clause subsumed by 350 during input processing: 0 [copy,373,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 216.36/216.42 Following clause subsumed by 335 during input processing: 0 [copy,380,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 216.36/216.42 Following clause subsumed by 303 during input processing: 0 [copy,453,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 216.36/216.42 Following clause subsumed by 305 during input processing: 0 [copy,454,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 216.36/216.42
% 216.36/216.42 ------------> process sos:
% 216.36/216.42 ** KEPT (pick-wt=3): 461 [] A=A.
% 216.36/216.42 ** KEPT (pick-wt=7): 462 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=6): 464 [copy,463,flip.1] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_nat).
% 216.36/216.42 ---> New Demodulator: 465 [new_demod,464] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=25): 466 [] c_List_Onth(c_List_Oappend(A,B,C),D,C)=c_List_Onth(B,c_HOL_Ominus__class_Ominus(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat),C)|c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=7): 467 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 216.36/216.42 ---> New Demodulator: 468 [new_demod,467] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 216.36/216.42 ** KEPT (pick-wt=7): 469 [] c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=20): 470 [] c_List_Onth(c_List_Olist_OCons(A,B,C),D,C)=c_List_Onth(B,c_HOL_Ominus__class_Ominus(D,c_HOL_Oone__class_Oone(tc_nat),tc_nat),C)|D=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=8): 471 [] c_HOL_Ominus__class_Ominus(c_Suc(A),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=A.
% 216.36/216.42 ---> New Demodulator: 472 [new_demod,471] c_HOL_Ominus__class_Ominus(c_Suc(A),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=A.
% 216.36/216.42 ** KEPT (pick-wt=8): 473 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 216.36/216.42 Following clause subsumed by 473 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 216.36/216.42 ** KEPT (pick-wt=18): 475 [copy,474,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.
% 216.36/216.42 ** KEPT (pick-wt=8): 476 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_Suc(A),tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=11): 477 [] c_HOL_Ominus__class_Ominus(c_Suc(A),c_Suc(B),tc_nat)=c_HOL_Ominus__class_Ominus(A,B,tc_nat).
% 216.36/216.42 ---> New Demodulator: 478 [new_demod,477] c_HOL_Ominus__class_Ominus(c_Suc(A),c_Suc(B),tc_nat)=c_HOL_Ominus__class_Ominus(A,B,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=8): 480 [copy,479,demod,465] c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=11): 481 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 216.36/216.42 Following clause subsumed by 481 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).
% 216.36/216.42 Following clause subsumed by 481 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 216.36/216.42 ** KEPT (pick-wt=5): 482 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 216.36/216.42 Following clause subsumed by 482 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=29): 483 [] c_List_Otake(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),C,D),D)|c_Int_Onumber__class_Onumber__of(A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=9): 484 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=26): 485 [] c_List_Odrop(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),C,D)|c_Int_Onumber__class_Onumber__of(A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=10): 486 [] c_List_Olist__update(A,B,c_List_Onth(A,B,C),C)=A.
% 216.36/216.42 ---> New Demodulator: 487 [new_demod,486] c_List_Olist__update(A,B,c_List_Onth(A,B,C),C)=A.
% 216.36/216.42 ** KEPT (pick-wt=13): 488 [] c_List_Onth(c_List_Olist_OCons(A,B,C),c_Suc(D),C)=c_List_Onth(B,D,C).
% 216.36/216.42 ---> New Demodulator: 489 [new_demod,488] c_List_Onth(c_List_Olist_OCons(A,B,C),c_Suc(D),C)=c_List_Onth(B,D,C).
% 216.36/216.42 ** KEPT (pick-wt=16): 491 [copy,490,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).
% 216.36/216.42 ** KEPT (pick-wt=6): 492 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=14): 494 [copy,493,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).
% 216.36/216.42 ---> New Demodulator: 495 [new_demod,494] 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).
% 216.36/216.42 ** KEPT (pick-wt=16): 496 [] c_List_Onth(c_List_Olist__update(A,B,C,D),E,D)=c_List_Onth(A,E,D)|B=E.
% 216.36/216.42 ** KEPT (pick-wt=8): 497 [] hAPP(c_COMBK(A,B,C),D)=A.
% 216.36/216.42 ---> New Demodulator: 498 [new_demod,497] hAPP(c_COMBK(A,B,C),D)=A.
% 216.36/216.42 ** KEPT (pick-wt=8): 499 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ---> New Demodulator: 500 [new_demod,499] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=6): 501 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 216.36/216.42 Following clause subsumed by 501 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=11): 503 [copy,502,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(A).
% 216.36/216.42 ---> New Demodulator: 504 [new_demod,503] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(A).
% 216.36/216.42 ** KEPT (pick-wt=7): 505 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),A,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=15): 506 [] 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).
% 216.36/216.42 ** KEPT (pick-wt=5): 507 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=9): 508 [] c_lesse_quals(c_Suc(A),B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=7): 509 [] c_lesse_quals(c_Divides_Odiv__class_Omod(A,B,tc_nat),A,tc_nat).
% 216.36/216.42 Following clause subsumed by 470 during input processing: 0 [] c_List_Onth(c_List_Olist_OCons(A,B,C),c_Int_Onumber__class_Onumber__of(D,tc_nat),C)=c_List_Onth(B,c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(D,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),C)|c_Int_Onumber__class_Onumber__of(D,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=17): 510 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(A),B,tc_nat),c_Suc(C),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat).
% 216.36/216.42 ---> New Demodulator: 511 [new_demod,510] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(A),B,tc_nat),c_Suc(C),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=14): 512 [] c_HOL_Ominus__class_Ominus(A,c_Suc(B),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).
% 216.36/216.42 ** KEPT (pick-wt=6): 513 [] c_lesse_quals(c_Suc(A),c_Suc(A),tc_nat).
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,504] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 216.36/216.42 Following clause subsumed by 482 during input processing: 0 [unit_del,93] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=9): 514 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=9): 515 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 216.36/216.42 ---> New Demodulator: 516 [new_demod,515] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 216.36/216.42 ** KEPT (pick-wt=12): 517 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat)|A=c_List_Olist_ONil(B).
% 216.36/216.42 ** KEPT (pick-wt=4): 518 [] c_lesse_quals(A,A,tc_nat).
% 216.36/216.42 Following clause subsumed by 518 during input processing: 0 [] c_lesse_quals(A,A,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=8): 519 [] c_lesse_quals(A,B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=23): 520 [] c_List_Otake(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Otake(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),C,D),D)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=20): 521 [] c_List_Odrop(A,c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),C,D)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=30): 523 [copy,522,flip.1] c_List_Oappend(A,c_List_Olist__update(B,c_HOL_Ominus__class_Ominus(C,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat),E,D),D)=c_List_Olist__update(c_List_Oappend(A,B,D),C,E,D)|c_HOL_Oord__class_Oless(C,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=25): 525 [copy,524,flip.1] c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_Divides_Odiv__class_Omod(C,c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat),tc_nat),A,B),B)=c_List_Orotate(C,c_List_Orev(A,B),B).
% 216.36/216.42 ---> New Demodulator: 526 [new_demod,525] c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_Divides_Odiv__class_Omod(C,c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat),tc_nat),A,B),B)=c_List_Orotate(C,c_List_Orev(A,B),B).
% 216.36/216.42 ** KEPT (pick-wt=10): 527 [] c_List_Onth(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),C)=A.
% 216.36/216.42 ---> New Demodulator: 528 [new_demod,527] c_List_Onth(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),C)=A.
% 216.36/216.42 ** KEPT (pick-wt=13): 529 [] c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C))=c_Suc(c_Nat_Osize__class_Osize(B,tc_List_Olist(C))).
% 216.36/216.42 ** KEPT (pick-wt=13): 530 [] c_Suc(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(C,A,B),tc_List_Olist(B)).
% 216.36/216.42 ** KEPT (pick-wt=16): 531 [] c_List_Otake(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Otake(A,C,D),D).
% 216.36/216.42 ---> New Demodulator: 532 [new_demod,531] c_List_Otake(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Otake(A,C,D),D).
% 216.36/216.42 ** KEPT (pick-wt=17): 534 [copy,533,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 216.36/216.42 ---> New Demodulator: 535 [new_demod,534] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 216.36/216.42 ** KEPT (pick-wt=10): 536 [] c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=B.
% 216.36/216.42 ---> New Demodulator: 537 [new_demod,536] c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=B.
% 216.36/216.42 ** KEPT (pick-wt=13): 538 [] c_List_Odrop(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(A,C,D).
% 216.36/216.42 ---> New Demodulator: 539 [new_demod,538] c_List_Odrop(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(A,C,D).
% 216.36/216.42 ** KEPT (pick-wt=15): 540 [] c_Nat_Osize__class_Osize(c_List_Odrop(A,B,C),tc_List_Olist(C))=c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 216.36/216.42 ---> New Demodulator: 541 [new_demod,540] c_Nat_Osize__class_Osize(c_List_Odrop(A,B,C),tc_List_Olist(C))=c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=18): 542 [] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_Suc(D),E,C)=c_List_Olist_OCons(A,c_List_Olist__update(B,D,E,C),C).
% 216.36/216.42 ** KEPT (pick-wt=13): 543 [] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 216.36/216.42 ---> New Demodulator: 544 [new_demod,543] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 216.36/216.42 ** KEPT (pick-wt=10): 546 [copy,545,unit_del,93] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),A)=B.
% 216.36/216.42 ---> New Demodulator: 547 [new_demod,546] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),A)=B.
% 216.36/216.42 ** KEPT (pick-wt=18): 548 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),C)=c_Lambda_OdB_OVar(A)|A=C|c_HOL_Oord__class_Oless(C,A,tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=18): 550 [copy,549,flip.1] c_List_Otake(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_List_Odrop(B,C,D),D)=c_List_Odrop(B,c_List_Otake(A,C,D),D).
% 216.36/216.42 ---> New Demodulator: 551 [new_demod,550] c_List_Otake(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_List_Odrop(B,C,D),D)=c_List_Odrop(B,c_List_Otake(A,C,D),D).
% 216.36/216.42 ** KEPT (pick-wt=22): 552 [] c_Type_Oshift(c_Type_Oshift(A,B,C,D),c_HOL_Ozero__class_Ozero(tc_nat),E,D)=c_Type_Oshift(c_Type_Oshift(A,c_HOL_Ozero__class_Ozero(tc_nat),E,D),c_Suc(B),C,D).
% 216.36/216.42 ** KEPT (pick-wt=15): 554 [copy,553,flip.1] c_List_Orotate(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C)=c_List_Orotate(A,B,C).
% 216.36/216.42 ---> New Demodulator: 555 [new_demod,554] c_List_Orotate(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C)=c_List_Orotate(A,B,C).
% 216.36/216.42 ** KEPT (pick-wt=15): 557 [copy,556,flip.1] c_List_Oreplicate(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,D)=c_List_Odrop(B,c_List_Oreplicate(A,C,D),D).
% 216.36/216.42 ---> New Demodulator: 558 [new_demod,557] c_List_Oreplicate(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,D)=c_List_Odrop(B,c_List_Oreplicate(A,C,D),D).
% 216.36/216.42 ** KEPT (pick-wt=15): 559 [] c_List_Onth(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),D)=B.
% 216.36/216.42 ---> New Demodulator: 560 [new_demod,559] c_List_Onth(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),D)=B.
% 216.36/216.42 ** KEPT (pick-wt=14): 561 [] c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,c_List_Olist_ONil(C),C).
% 216.36/216.42 ** KEPT (pick-wt=24): 563 [copy,562,flip.1] c_List_Oappend(c_List_Otake(A,B,C),c_List_Otake(c_HOL_Ominus__class_Ominus(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),D,C),C)=c_List_Otake(A,c_List_Oappend(B,D,C),C).
% 216.36/216.42 ---> New Demodulator: 564 [new_demod,563] c_List_Oappend(c_List_Otake(A,B,C),c_List_Otake(c_HOL_Ominus__class_Ominus(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),D,C),C)=c_List_Otake(A,c_List_Oappend(B,D,C),C).
% 216.36/216.42 ** KEPT (pick-wt=24): 566 [copy,565,flip.1] c_List_Oappend(c_List_Odrop(A,B,C),c_List_Odrop(c_HOL_Ominus__class_Ominus(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),D,C),C)=c_List_Odrop(A,c_List_Oappend(B,D,C),C).
% 216.36/216.42 ---> New Demodulator: 567 [new_demod,566] c_List_Oappend(c_List_Odrop(A,B,C),c_List_Odrop(c_HOL_Ominus__class_Ominus(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),D,C),C)=c_List_Odrop(A,c_List_Oappend(B,D,C),C).
% 216.36/216.42 ** KEPT (pick-wt=11): 569 [copy,568,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OVar(A).
% 216.36/216.42 ---> New Demodulator: 570 [new_demod,569] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OVar(A).
% 216.36/216.42 ** KEPT (pick-wt=16): 572 [copy,571,flip.1] c_List_Oreplicate(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,D)=c_List_Omap(c_COMBK(C,D,B),A,B,D).
% 216.36/216.42 ---> New Demodulator: 573 [new_demod,572] c_List_Oreplicate(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,D)=c_List_Omap(c_COMBK(C,D,B),A,B,D).
% 216.36/216.42 ** KEPT (pick-wt=18): 574 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)),hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),c_HOL_Ozero__class_Ozero(tc_nat)))).
% 216.36/216.42 ** KEPT (pick-wt=19): 575 [] c_List_Orev(c_List_Otake(A,B,C),C)=c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 216.36/216.42 ** KEPT (pick-wt=19): 576 [] c_List_Orev(c_List_Odrop(A,B,C),C)=c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 216.36/216.42 ** KEPT (pick-wt=27): 578 [copy,577,flip.1] c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C),c_List_Otake(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C),C)=c_List_Orotate(A,B,C).
% 216.36/216.42 ---> New Demodulator: 579 [new_demod,578] c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C),c_List_Otake(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C),C)=c_List_Orotate(A,B,C).
% 216.36/216.42 ** KEPT (pick-wt=8): 580 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____).
% 216.36/216.42 ** KEPT (pick-wt=14): 581 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____).
% 216.36/216.42 ** KEPT (pick-wt=18): 582 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 216.36/216.42 ** KEPT (pick-wt=13): 583 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,B,C).
% 216.36/216.42 ---> New Demodulator: 584 [new_demod,583] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,B,C).
% 216.36/216.42 ** KEPT (pick-wt=9): 585 [] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 216.36/216.42 ---> New Demodulator: 586 [new_demod,585] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 216.36/216.42 ** KEPT (pick-wt=17): 587 [] c_List_Orev(c_List_Olist_OCons(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),C).
% 216.36/216.42 ** KEPT (pick-wt=20): 588 [] c_List_Ofoldl(A,B,c_List_Olist_OCons(C,D,E),F,E)=c_List_Ofoldl(A,hAPP(hAPP(A,B),C),D,F,E).
% 216.36/216.42 ** KEPT (pick-wt=7): 589 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 216.36/216.42 ---> New Demodulator: 590 [new_demod,589] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 216.36/216.42 ** KEPT (pick-wt=12): 592 [copy,591,flip.1] hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))=v_T____.
% 216.36/216.42 ---> New Demodulator: 593 [new_demod,592] hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))=v_T____.
% 216.36/216.42 ** KEPT (pick-wt=13): 594 [] c_List_Orev(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 216.36/216.42 ---> New Demodulator: 595 [new_demod,594] c_List_Orev(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 216.36/216.42 ** KEPT (pick-wt=7): 596 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)).
% 216.36/216.42 ** KEPT (pick-wt=15): 598 [copy,597,flip.1] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 216.36/216.42 ---> New Demodulator: 599 [new_demod,598] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,599] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 216.36/216.42 ** KEPT (pick-wt=12): 601 [copy,600,flip.1] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 216.36/216.42 ---> New Demodulator: 602 [new_demod,601] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 216.36/216.42 ** KEPT (pick-wt=9): 603 [] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 216.36/216.42 ---> New Demodulator: 604 [new_demod,603] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,604] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,604] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,599] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,599] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 216.36/216.42 ** KEPT (pick-wt=12): 605 [] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 216.36/216.42 ---> New Demodulator: 606 [new_demod,605] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 216.36/216.42 ** KEPT (pick-wt=17): 607 [] c_List_Orev(c_List_Oappend(c_List_Orev(A,B),c_List_Olist_OCons(C,c_List_Olist_ONil(B),B),B),B)=c_List_Olist_OCons(C,A,B).
% 216.36/216.42 ---> New Demodulator: 608 [new_demod,607] c_List_Orev(c_List_Oappend(c_List_Orev(A,B),c_List_Olist_OCons(C,c_List_Olist_ONil(B),B),B),B)=c_List_Olist_OCons(C,A,B).
% 216.36/216.42 ** KEPT (pick-wt=21): 609 [] c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 216.36/216.42 ** KEPT (pick-wt=11): 610 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 216.36/216.42 ** KEPT (pick-wt=8): 611 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 216.36/216.42 ** KEPT (pick-wt=8): 612 [] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 216.36/216.42 ---> New Demodulator: 613 [new_demod,612] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 216.36/216.42 ** KEPT (pick-wt=14): 614 [] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),D,C)=c_List_Olist_OCons(D,B,C).
% 216.36/216.42 ** KEPT (pick-wt=13): 615 [] c_Nat_Osize__class_Osize(c_List_Olist__update(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(A,tc_List_Olist(D)).
% 216.36/216.42 ---> New Demodulator: 616 [new_demod,615] c_Nat_Osize__class_Osize(c_List_Olist__update(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(A,tc_List_Olist(D)).
% 216.36/216.42 ** KEPT (pick-wt=13): 618 [copy,617,flip.1] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 216.36/216.42 ---> New Demodulator: 619 [new_demod,618] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,595] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 216.36/216.42 ** KEPT (pick-wt=19): 621 [copy,620,flip.1] c_List_Ofoldr(c_COMBC(A,B,C,B),c_List_Orev(D,C),E,C,B)=c_List_Ofoldl(A,E,D,B,C).
% 216.36/216.42 ---> New Demodulator: 622 [new_demod,621] c_List_Ofoldr(c_COMBC(A,B,C,B),c_List_Orev(D,C),E,C,B)=c_List_Ofoldl(A,E,D,B,C).
% 216.36/216.42 ** KEPT (pick-wt=9): 624 [copy,623,flip.1] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 216.36/216.42 ---> New Demodulator: 625 [new_demod,624] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 216.36/216.42 ** KEPT (pick-wt=19): 626 [] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 216.36/216.42 ** KEPT (pick-wt=7): 627 [] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 216.36/216.42 ---> New Demodulator: 628 [new_demod,627] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 216.36/216.42 ** KEPT (pick-wt=15): 629 [] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 216.36/216.42 ---> New Demodulator: 630 [new_demod,629] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 216.36/216.42 ** KEPT (pick-wt=21): 631 [] c_List_Ofoldl(A,B,c_List_Oappend(C,D,E),F,E)=c_List_Ofoldl(A,c_List_Ofoldl(A,B,C,F,E),D,F,E).
% 216.36/216.42 ** KEPT (pick-wt=5): 632 [] c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 216.36/216.42 ** KEPT (pick-wt=8): 633 [] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 216.36/216.42 ---> New Demodulator: 634 [new_demod,633] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 216.36/216.42 ** KEPT (pick-wt=9): 636 [copy,635,demod,593] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),v_T____).
% 216.36/216.42 ** KEPT (pick-wt=7): 637 [] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 216.36/216.42 ---> New Demodulator: 638 [new_demod,637] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 216.36/216.42 ** KEPT (pick-wt=7): 640 [copy,639,flip.1] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 216.36/216.42 ---> New Demodulator: 641 [new_demod,640] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,638] A=A.
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,641] B=B.
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,641] A=A.
% 216.36/216.42 ** KEPT (pick-wt=7): 643 [copy,642,flip.1] c_List_Orev(c_List_Orev(A,B),B)=A.
% 216.36/216.42 ---> New Demodulator: 644 [new_demod,643] c_List_Orev(c_List_Orev(A,B),B)=A.
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,644] A=A.
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,644] A=A.
% 216.36/216.42 ** KEPT (pick-wt=12): 646 [copy,645,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 216.36/216.42 ---> New Demodulator: 647 [new_demod,646] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 216.36/216.42 ** KEPT (pick-wt=23): 648 [] hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),C)=hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,A),C)),hAPP(hAPP(c_Lambda_Olift,B),C)).
% 216.36/216.42 ** KEPT (pick-wt=11): 649 [] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 216.36/216.42 ---> New Demodulator: 650 [new_demod,649] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 216.36/216.42 ** KEPT (pick-wt=21): 651 [] c_List_Ofoldr(A,c_List_Oappend(B,C,D),E,D,F)=c_List_Ofoldr(A,B,c_List_Ofoldr(A,C,E,D,F),D,F).
% 216.36/216.42 ---> New Demodulator: 652 [new_demod,651] c_List_Ofoldr(A,c_List_Oappend(B,C,D),E,D,F)=c_List_Ofoldr(A,B,c_List_Ofoldr(A,C,E,D,F),D,F).
% 216.36/216.42 ** KEPT (pick-wt=8): 653 [] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 216.36/216.42 ---> New Demodulator: 654 [new_demod,653] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 216.36/216.42 ** KEPT (pick-wt=5): 655 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 216.36/216.42 ** KEPT (pick-wt=14): 656 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 216.36/216.42 ---> New Demodulator: 657 [new_demod,656] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 216.36/216.42 Following clause subsumed by 461 during input processing: 0 [demod,657] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 216.36/216.42 ** KEPT (pick-wt=9): 658 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 216.36/216.42 ---> New Demodulator: 659 [new_demod,658] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 216.36/216.42 ** KEPT (pick-wt=9): 660 [] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 216.36/216.42 ---> New Demodulator: 661 [new_demod,660] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 216.36/216.42 ** KEPT (pick-wt=8): 662 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ---> New Demodulator: 663 [new_demod,662] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.42 ** KEPT (pick-wt=12): 664 [] c_Nat_Osize__class_Osize(c_List_Orotate(A,B,C),tc_List_Olist(C))=c_Nat_Osize__class_Osize(B,tc_List_Olist(C)).
% 216.36/216.42 ---> New Demodulator: 665 [new_demod,664] c_Nat_Osize__class_Osize(c_List_Orotate(A,B,C),tc_List_Olist(C))=c_Nat_Osize__class_Osize(B,tc_List_Olist(C)).
% 216.36/216.42 ** KEPT (pick-wt=8): 666 [] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 216.36/216.42 ** KEPT (pick-wt=21): 667 [] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Oreplicate(D,B,C),C)=c_List_Oappend(c_List_Oreplicate(D,B,C),c_List_Oreplicate(A,B,C),C).
% 216.36/216.42 ** KEPT (pick-wt=4): 668 [] c_List_Odistinct(c_List_Olist_ONil(A),A).
% 216.36/216.42 ** KEPT (pick-wt=8): 669 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 216.36/216.42 Following clause subsumed by 669 during input processing: 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_ONil(C).
% 216.36/216.42 ** KEPT (pick-wt=19): 670 [] c_List_Ofoldr(A,B,C,D,E)=c_List_Ofoldl(c_COMBC(A,D,E,E),C,c_List_Orev(B,D),E,D).
% 216.36/216.42 ** KEPT (pick-wt=23): 672 [copy,671,flip.1] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 216.36/216.42 ---> New Demodulator: 673 [new_demod,672] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 216.36/216.42 ** KEPT (pick-wt=9): 674 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 216.36/216.42 ---> New Demodulator: 675 [new_demod,674] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 216.36/216.42 ** KEPT (pick-wt=20): 677 [copy,676,flip.1] hAPP(hAPP(A,B),c_List_Ofoldr(A,C,D,E,F))=c_List_Ofoldr(A,c_List_Olist_OCons(B,C,E),D,E,F).
% 216.36/216.42 ---> New Demodulator: 678 [new_demod,677] hAPP(hAPP(A,B),c_List_Ofoldr(A,C,D,E,F))=c_List_Ofoldr(A,c_List_Olist_OCons(B,C,E),D,E,F).
% 216.36/216.43 ** KEPT (pick-wt=22): 679 [] c_List_Olist__update(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),E,D)=c_List_Oappend(A,c_List_Olist_OCons(E,C,D),D).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [demod,641] c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 216.36/216.43 ** KEPT (pick-wt=22): 680 [] c_List_Olist__update(c_List_Olist__update(A,B,C,D),E,F,D)=c_List_Olist__update(c_List_Olist__update(A,E,F,D),B,C,D)|B=E.
% 216.36/216.43 ** KEPT (pick-wt=21): 682 [copy,681,demod,599] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Olist_OCons(B,D,C),C)=c_List_Oappend(c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C),D,C).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [demod,628] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 216.36/216.43 ** KEPT (pick-wt=11): 683 [] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 216.36/216.43 ---> New Demodulator: 684 [new_demod,683] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [demod,638] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 216.36/216.43 ** KEPT (pick-wt=15): 685 [] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 216.36/216.43 ---> New Demodulator: 686 [new_demod,685] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 216.36/216.43 ** KEPT (pick-wt=15): 687 [] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 216.36/216.43 ---> New Demodulator: 688 [new_demod,687] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [demod,688] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [demod,688] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [demod,688] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 216.36/216.43 ** KEPT (pick-wt=4): 689 [] c_Type_Otyping(v_e____,v_u____,v_T____).
% 216.36/216.43 ** KEPT (pick-wt=29): 690 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),C),D)=hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),C),D)),hAPP(hAPP(hAPP(c_Lambda_Osubst,B),C),D)).
% 216.36/216.43 ** KEPT (pick-wt=17): 691 [] c_List_Odrop(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Odrop(A,C,D),D,E).
% 216.36/216.43 ---> New Demodulator: 692 [new_demod,691] c_List_Odrop(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Odrop(A,C,D),D,E).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [demod,547] B=B.
% 216.36/216.43 ** KEPT (pick-wt=31): 693 [] hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,A),C),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),C),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 216.36/216.43 ---> New Demodulator: 694 [new_demod,693] hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,A),C),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),C),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 216.36/216.43 ** KEPT (pick-wt=21): 696 [copy,695,flip.1] c_List_Oappend(c_List_Omap(A,B,C,D),c_List_Omap(A,E,C,D),D)=c_List_Omap(A,c_List_Oappend(B,E,C),C,D).
% 216.36/216.43 ---> New Demodulator: 697 [new_demod,696] c_List_Oappend(c_List_Omap(A,B,C,D),c_List_Omap(A,E,C,D),D)=c_List_Omap(A,c_List_Oappend(B,E,C),C,D).
% 216.36/216.43 ** KEPT (pick-wt=12): 699 [copy,698,demod,678] c_Type_Otyping(v_e____,v_u____,c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 216.36/216.43 ** KEPT (pick-wt=3): 700 [] v_n____=v_i____.
% 216.36/216.43 ---> New Demodulator: 701 [new_demod,700] v_n____=v_i____.
% 216.36/216.43 ** KEPT (pick-wt=15): 702 [] c_List_Omap(A,c_List_Oreplicate(B,C,D),D,E)=c_List_Oreplicate(B,hAPP(A,C),E).
% 216.36/216.43 ** KEPT (pick-wt=13): 703 [] c_Nat_Osize__class_Osize(c_List_Omap(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(B,tc_List_Olist(C)).
% 216.36/216.43 ** KEPT (pick-wt=43): 704 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C),D)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),C),D),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),C),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),D),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 216.36/216.43 ** KEPT (pick-wt=17): 705 [] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 216.36/216.43 ---> New Demodulator: 706 [new_demod,705] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 216.36/216.43 ** KEPT (pick-wt=8): 707 [] c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____).
% 216.36/216.43 ** KEPT (pick-wt=15): 708 [] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 216.36/216.43 ---> New Demodulator: 709 [new_demod,708] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 216.36/216.43 ** KEPT (pick-wt=17): 710 [] c_List_Otake(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Otake(A,C,D),D,E).
% 216.36/216.43 ---> New Demodulator: 711 [new_demod,710] c_List_Otake(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Otake(A,C,D),D,E).
% 216.36/216.43 ** KEPT (pick-wt=15): 712 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 216.36/216.43 ** KEPT (pick-wt=9): 713 [] c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 216.36/216.43 ** KEPT (pick-wt=20): 715 [copy,714,flip.1] c_List_Omap(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_List_Omap(A,c_List_Omap(B,F,E,C),C,D).
% 216.36/216.43 ---> New Demodulator: 716 [new_demod,715] c_List_Omap(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_List_Omap(A,c_List_Omap(B,F,E,C),C,D).
% 216.36/216.43 ** KEPT (pick-wt=19): 718 [copy,717,flip.1] c_List_Olist_OCons(hAPP(A,B),c_List_Omap(A,C,D,E),E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 216.36/216.43 ---> New Demodulator: 719 [new_demod,718] c_List_Olist_OCons(hAPP(A,B),c_List_Omap(A,C,D,E),E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [demod,719] c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [demod,719] c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 216.36/216.43 ** KEPT (pick-wt=4): 720 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 216.36/216.43 ** KEPT (pick-wt=13): 721 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,A),B)),C),B)=A.
% 216.36/216.43 ---> New Demodulator: 722 [new_demod,721] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,A),B)),C),B)=A.
% 216.36/216.43 ** KEPT (pick-wt=21): 723 [] c_List_Omap(A,c_List_Olist__update(B,C,D,E),E,F)=c_List_Olist__update(c_List_Omap(A,B,E,F),C,hAPP(A,D),F).
% 216.36/216.43 ** KEPT (pick-wt=9): 724 [] c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 216.36/216.43 Following clause subsumed by 707 during input processing: 0 [] c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____).
% 216.36/216.43 Following clause subsumed by 689 during input processing: 0 [] c_Type_Otyping(v_e____,v_u____,v_T____).
% 216.36/216.43 ** KEPT (pick-wt=2): 725 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 726 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 727 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 728 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 729 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 730 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 731 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 732 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 733 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 734 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 735 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 736 [] class_OrderedGroup_Osemigroup__add(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 737 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 738 [] class_Divides_Osemiring__div(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 739 [] class_Orderings_Opreorder(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 740 [] class_Orderings_Olinorder(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 741 [] class_Orderings_Oorder(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 742 [] class_Int_Onumber(tc_nat).
% 216.36/216.43 ** KEPT (pick-wt=2): 743 [] class_Orderings_Opreorder(tc_bool).
% 216.36/216.43 ** KEPT (pick-wt=2): 744 [] class_Orderings_Oorder(tc_bool).
% 216.36/216.43 ** KEPT (pick-wt=2): 745 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 746 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 747 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 748 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 749 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 750 [] class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 751 [] class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 752 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 753 [] class_Ring__and__Field_Oordered__semidom(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 754 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 755 [] class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 756 [] class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 757 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 758 [] class_Ring__and__Field_Oordered__idom(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 759 [] class_OrderedGroup_Osemigroup__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 760 [] class_OrderedGroup_Oab__group__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 761 [] class_OrderedGroup_Omonoid__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 762 [] class_OrderedGroup_Ogroup__add(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 763 [] class_Divides_Osemiring__div(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 764 [] class_Ring__and__Field_Oidom(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 765 [] class_Orderings_Opreorder(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 766 [] class_Orderings_Olinorder(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 767 [] class_Divides_Oring__div(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 768 [] class_Orderings_Oorder(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 769 [] class_Int_Oring__char__0(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 770 [] class_Int_Onumber__ring(tc_Int_Oint).
% 216.36/216.43 ** KEPT (pick-wt=2): 771 [] class_Int_Onumber(tc_Int_Oint).
% 216.36/216.43 Following clause subsumed by 712 during input processing: 0 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 216.36/216.43 ** KEPT (pick-wt=13): 772 [] c_COMBB(A,B,C,D,E,F)=hAPP(A,hAPP(B,C)).
% 216.36/216.43 ** KEPT (pick-wt=4): 773 [] c_fe_qual(A,A,B).
% 216.36/216.43 Following clause subsumed by 461 during input processing: 0 [copy,461,flip.1] A=A.
% 216.36/216.43 461 back subsumes 458.
% 216.36/216.43 461 back subsumes 444.
% 216.36/216.43 461 back subsumes 439.
% 216.36/216.43 461 back subsumes 438.
% 216.36/216.43 461 back subsumes 437.
% 216.36/216.43 461 back subsumes 436.
% 216.36/216.43 461 back subsumes 435.
% 216.36/216.43 461 back subsumes 433.
% 216.36/216.43 >>>> Starting back demodulation with 465.
% 216.36/216.43 >> back demodulating 462 with 465.
% 216.36/216.43 >> back demodulating 245 with 465.
% 216.36/216.43 >> back demodulating 55 with 465.
% 216.36/216.43 >>>> Starting back demodulation with 468.
% 216.36/216.43 ** KEPT (pick-wt=7): 776 [copy,469,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(A,A,tc_nat).
% 216.36/216.43 >>>> Starting back demodulation with 472.
% 216.36/216.43 >>>> Starting back demodulation with 478.
% 216.36/216.43 ** KEPT (pick-wt=8): 777 [copy,480,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)=c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 216.36/216.43 >>>> Starting back demodulation with 487.
% 216.36/216.43 >> back demodulating 51 with 487.
% 216.36/216.43 >>>> Starting back demodulation with 489.
% 216.36/216.43 >>>> Starting back demodulation with 495.
% 216.36/216.43 496 back subsumes 252.
% 216.36/216.43 >>>> Starting back demodulation with 498.
% 216.36/216.43 >>>> Starting back demodulation with 500.
% 216.36/216.43 >>>> Starting back demodulation with 504.
% 216.36/216.43 Following clause subsumed by 506 during input processing: 0 [copy,506,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).
% 216.36/216.43 507 back subsumes 492.
% 216.36/216.43 >>>> Starting back demodulation with 511.
% 216.36/216.43 ** KEPT (pick-wt=14): 778 [copy,512,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_Suc(B),tc_nat).
% 216.36/216.43 >>>> Starting back demodulation with 516.
% 216.36/216.43 518 back subsumes 513.
% 216.36/216.43 518 back subsumes 443.
% 216.36/216.43 520 back subsumes 483.
% 216.36/216.43 521 back subsumes 485.
% 216.36/216.43 >>>> Starting back demodulation with 526.
% 216.36/216.43 >>>> Starting back demodulation with 528.
% 216.36/216.43 Following clause subsumed by 530 during input processing: 0 [copy,529,flip.1] c_Suc(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(C,A,B),tc_List_Olist(B)).
% 216.36/216.43 Following clause subsumed by 529 during input processing: 0 [copy,530,flip.1] c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C))=c_Suc(c_Nat_Osize__class_Osize(B,tc_List_Olist(C))).
% 216.36/216.43 >>>> Starting back demodulation with 532.
% 216.36/216.43 >>>> Starting back demodulation with 535.
% 216.36/216.43 >>>> Starting back demodulation with 537.
% 216.36/216.43 >>>> Starting back demodulation with 539.
% 216.36/216.43 >>>> Starting back demodulation with 541.
% 216.36/216.43 ** KEPT (pick-wt=18): 779 [copy,542,flip.1] c_List_Olist_OCons(A,c_List_Olist__update(B,C,D,E),E)=c_List_Olist__update(c_List_Olist_OCons(A,B,E),c_Suc(C),D,E).
% 216.36/216.43 >>>> Starting back demodulation with 544.
% 216.36/216.43 >>>> Starting back demodulation with 547.
% 216.36/216.43 >>>> Starting back demodulation with 551.
% 216.36/216.43 ** KEPT (pick-wt=22): 780 [copy,552,flip.1] c_Type_Oshift(c_Type_Oshift(A,c_HOL_Ozero__class_Ozero(tc_nat),B,C),c_Suc(D),E,C)=c_Type_Oshift(c_Type_Oshift(A,D,E,C),c_HOL_Ozero__class_Ozero(tc_nat),B,C).
% 216.36/216.43 >>>> Starting back demodulation with 555.
% 216.36/216.43 >>>> Starting back demodulation with 558.
% 216.36/216.43 >>>> Starting back demodulation with 560.
% 216.36/216.43 ** KEPT (pick-wt=14): 781 [copy,561,flip.1] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,C,B),B).
% 216.36/216.43 >>>> Starting back demodulation with 564.
% 216.36/216.43 >>>> Starting back demodulation with 567.
% 216.36/216.43 >>>> Starting back demodulation with 570.
% 216.36/216.43 >>>> Starting back demodulation with 573.
% 216.36/216.43 ** KEPT (pick-wt=19): 782 [copy,575,flip.1] c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,tc_nat),c_List_Orev(A,B),B)=c_List_Orev(c_List_Otake(C,A,B),B).
% 216.36/216.43 ** KEPT (pick-wt=19): 783 [copy,576,flip.1] c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,tc_nat),c_List_Orev(A,B),B)=c_List_Orev(c_List_Odrop(C,A,B),B).
% 216.36/216.43 >>>> Starting back demodulation with 579.
% 216.36/216.43 >>>> Starting back demodulation with 584.
% 216.36/216.43 >>>> Starting back demodulation with 586.
% 216.36/216.43 ** KEPT (pick-wt=17): 784 [copy,587,flip.1] c_List_Oappend(c_List_Orev(A,B),c_List_Olist_OCons(C,c_List_Olist_ONil(B),B),B)=c_List_Orev(c_List_Olist_OCons(C,A,B),B).
% 216.36/216.43 ** KEPT (pick-wt=20): 785 [copy,588,flip.1] c_List_Ofoldl(A,hAPP(hAPP(A,B),C),D,E,F)=c_List_Ofoldl(A,B,c_List_Olist_OCons(C,D,F),E,F).
% 216.36/216.43 >>>> Starting back demodulation with 590.
% 216.36/216.43 >> back demodulating 583 with 590.
% 216.36/216.43 >>>> Starting back demodulation with 593.
% 216.36/216.43 >>>> Starting back demodulation with 595.
% 216.36/216.43 >>>> Starting back demodulation with 599.
% 216.36/216.43 >>>> Starting back demodulation with 602.
% 216.36/216.43 >>>> Starting back demodulation with 604.
% 216.36/216.43 >>>> Starting back demodulation with 606.
% 216.36/216.43 >>>> Starting back demodulation with 608.
% 216.36/216.43 Following clause subsumed by 610 during input processing: 0 [copy,610,flip.1] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 216.36/216.43 Following clause subsumed by 666 during input processing: 0 [copy,611,flip.1] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 216.36/216.43 >>>> Starting back demodulation with 613.
% 216.36/216.43 ** KEPT (pick-wt=14): 786 [copy,614,flip.1] c_List_Olist_OCons(A,B,C)=c_List_Olist__update(c_List_Olist_OCons(D,B,C),c_HOL_Ozero__class_Ozero(tc_nat),A,C).
% 216.36/216.43 >>>> Starting back demodulation with 616.
% 216.36/216.43 >>>> Starting back demodulation with 619.
% 216.36/216.43 >>>> Starting back demodulation with 622.
% 216.36/216.43 >>>> Starting back demodulation with 625.
% 216.36/216.43 ** KEPT (pick-wt=19): 787 [copy,626,flip.1] c_List_Olist_OCons(A,c_List_Oreplicate(B,A,C),C)=c_List_Oappend(c_List_Oreplicate(B,A,C),c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),C).
% 216.36/216.43 >>>> Starting back demodulation with 628.
% 216.36/216.43 >>>> Starting back demodulation with 630.
% 216.36/216.43 >> back demodulating 607 with 630.
% 216.36/216.43 ** KEPT (pick-wt=21): 789 [copy,631,flip.1] c_List_Ofoldl(A,c_List_Ofoldl(A,B,C,D,E),F,D,E)=c_List_Ofoldl(A,B,c_List_Oappend(C,F,E),D,E).
% 216.36/216.43 >>>> Starting back demodulation with 634.
% 216.36/216.43 >>>> Starting back demodulation with 638.
% 216.36/216.43 >> back demodulating 624 with 638.
% 216.36/216.43 >>>> Starting back demodulation with 641.
% 216.36/216.43 >> back demodulating 618 with 641.
% 216.36/216.43 >>>> Starting back demodulation with 644.
% 216.36/216.43 >>>> Starting back demodulation with 647.
% 216.36/216.43 ** KEPT (pick-wt=23): 790 [copy,648,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,A),B)),hAPP(hAPP(c_Lambda_Olift,C),B))=hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,A),C)),B).
% 216.36/216.43 >>>> Starting back demodulation with 650.
% 216.36/216.43 >>>> Starting back demodulation with 652.
% 216.36/216.43 >>>> Starting back demodulation with 654.
% 216.36/216.43 >>>> Starting back demodulation with 657.
% 216.36/216.43 >> back demodulating 406 with 657.
% 216.36/216.43 >>>> Starting back demodulation with 659.
% 216.36/216.43 >> back demodulating 569 with 659.
% 216.36/216.43 >> back demodulating 534 with 659.
% 216.36/216.43 >> back demodulating 503 with 659.
% 216.36/216.43 >> back demodulating 277 with 659.
% 216.36/216.43 >>>> Starting back demodulation with 661.
% 216.36/216.43 >>>> Starting back demodulation with 663.
% 216.36/216.43 >> back demodulating 218 with 663.
% 216.36/216.43 >>>> Starting back demodulation with 665.
% 216.36/216.43 Following clause subsumed by 611 during input processing: 0 [copy,666,flip.1] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 216.36/216.43 Following clause subsumed by 667 during input processing: 0 [copy,667,flip.1] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Oreplicate(D,B,C),C)=c_List_Oappend(c_List_Oreplicate(D,B,C),c_List_Oreplicate(A,B,C),C).
% 216.36/216.43 ** KEPT (pick-wt=8): 791 [copy,669,flip.1] c_List_Olist_ONil(A)=c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 216.36/216.43 ** KEPT (pick-wt=19): 792 [copy,670,flip.1] c_List_Ofoldl(c_COMBC(A,B,C,C),D,c_List_Orev(E,B),C,B)=c_List_Ofoldr(A,E,D,B,C).
% 216.36/216.43 >>>> Starting back demodulation with 673.
% 216.36/216.43 >>>> Starting back demodulation with 675.
% 216.36/216.43 >>>> Starting back demodulation with 678.
% 216.36/216.43 >> back demodulating 592 with 678.
% 216.36/216.43 >> back demodulating 311 with 678.
% 216.36/216.43 ** KEPT (pick-wt=22): 796 [copy,679,flip.1] c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist__update(c_List_Oappend(A,c_List_Olist_OCons(E,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),B,D).
% 216.36/216.43 ** KEPT (pick-wt=21): 797 [copy,682,flip.1] c_List_Oappend(c_List_Olist_OCons(A,c_List_Oreplicate(B,A,C),C),D,C)=c_List_Oappend(c_List_Oreplicate(B,A,C),c_List_Olist_OCons(A,D,C),C).
% 216.36/216.43 >>>> Starting back demodulation with 684.
% 216.36/216.43 >>>> Starting back demodulation with 686.
% 216.36/216.43 >>>> Starting back demodulation with 688.
% 216.36/216.43 ** KEPT (pick-wt=29): 798 [copy,690,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),C)),hAPP(hAPP(hAPP(c_Lambda_Osubst,D),B),C))=hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,A),D)),B),C).
% 216.36/216.43 >>>> Starting back demodulation with 692.
% 216.36/216.43 >>>> Starting back demodulation with 694.
% 216.36/216.43 >>>> Starting back demodulation with 697.
% 216.36/216.43 >>>> Starting back demodulation with 701.
% 216.36/216.43 >> back demodulating 636 with 701.
% 216.36/216.43 >> back demodulating 582 with 701.
% 216.36/216.43 >> back demodulating 581 with 701.
% 216.36/216.43 ** KEPT (pick-wt=15): 802 [copy,702,flip.1] c_List_Oreplicate(A,hAPP(B,C),D)=c_List_Omap(B,c_List_Oreplicate(A,C,E),E,D).
% 216.36/216.43 ** KEPT (pick-wt=13): 803 [copy,703,flip.1] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))=c_Nat_Osize__class_Osize(c_List_Omap(C,A,B,D),tc_List_Olist(D)).
% 216.36/216.43 ** KEPT (pick-wt=43): 804 [copy,704,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),C),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),B),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),C),D,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,A,D,tc_Lambda_OdB,tc_Lambda_OdB)),B),C).
% 216.36/216.43 >>>> Starting back demodulation with 706.
% 216.36/216.43 >>>> Starting back demodulation with 709.
% 216.36/216.43 >>>> Starting back demodulation with 711.
% 216.36/216.43 ** KEPT (pick-wt=15): 805 [copy,712,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(c_COMBC(A,D,E,F),C),B).
% 216.36/216.43 Following clause subsumed by 724 during input processing: 0 [copy,713,flip.1] c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 216.36/216.43 >>>> Starting back demodulation with 716.
% 216.36/216.43 >>>> Starting back demodulation with 719.
% 216.36/216.43 >>>> Starting back demodulation with 722.
% 216.36/216.43 ** KEPT (pick-wt=21): 806 [copy,723,flip.1] c_List_Olist__update(c_List_Omap(A,B,C,D),E,hAPP(A,F),D)=c_List_Omap(A,c_List_Olist__update(B,E,F,C),C,D).
% 216.36/216.43 Following clause subsumed by 713 during input processing: 0 [copy,724,flip.1] c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 216.36/216.43 ** KEPT (pick-wt=13): 807 [copy,772,flip.1] hAPP(A,hAPP(B,C))=c_COMBB(A,B,C,D,E,F).
% 216.36/216.43 Following clause subsumed by 469 during input processing: 0 [copy,776,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.43 Following clause subsumed by 480 during input processing: 0 [copy,777,flip.1] c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 216.36/216.43 Following clause subsumed by 512 during input processing: 0 [copy,778,flip.1] c_HOL_Ominus__class_Ominus(A,c_Suc(B),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).
% 216.36/216.43 Following clause subsumed by 542 during input processing: 0 [copy,779,flip.1] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_Suc(D),E,C)=c_List_Olist_OCons(A,c_List_Olist__update(B,D,E,C),C).
% 216.36/216.43 Following clause subsumed by 552 during input processing: 0 [copy,780,flip.1] c_Type_Oshift(c_Type_Oshift(A,B,C,D),c_HOL_Ozero__class_Ozero(tc_nat),E,D)=c_Type_Oshift(c_Type_Oshift(A,c_HOL_Ozero__class_Ozero(tc_nat),E,D),c_Suc(B),C,D).
% 216.36/216.43 Following clause subsumed by 561 during input processing: 0 [copy,781,flip.1] c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,c_List_Olist_ONil(C),C).
% 216.36/216.43 Following clause subsumed by 575 during input processing: 0 [copy,782,flip.1] c_List_Orev(c_List_Otake(A,B,C),C)=c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 216.36/216.43 Following clause subsumed by 576 during input processing: 0 [copy,783,flip.1] c_List_Orev(c_List_Odrop(A,B,C),C)=c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 216.36/216.43 Following clause subsumed by 587 during input processing: 0 [copy,784,flip.1] c_List_Orev(c_List_Olist_OCons(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),C).
% 216.36/216.43 Following clause subsumed by 588 during input processing: 0 [copy,785,flip.1] c_List_Ofoldl(A,B,c_List_Olist_OCons(C,D,E),F,E)=c_List_Ofoldl(A,hAPP(hAPP(A,B),C),D,F,E).
% 216.36/216.43 Following clause subsumed by 614 during input processing: 0 [copy,786,flip.1] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),D,C)=c_List_Olist_OCons(D,B,C).
% 216.36/216.43 Following clause subsumed by 626 during input processing: 0 [copy,787,flip.1] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 216.36/216.43 ** KEPT (pick-wt=13): 808 [copy,788,flip.1] c_List_Olist_OCons(A,B,C)=c_List_Oappend(c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),B,C).
% 216.36/216.43 Following clause subsumed by 631 during input processing: 0 [copy,789,flip.1] c_List_Ofoldl(A,B,c_List_Oappend(C,D,E),F,E)=c_List_Ofoldl(A,c_List_Ofoldl(A,B,C,F,E),D,F,E).
% 216.36/216.43 Following clause subsumed by 648 during input processing: 0 [copy,790,flip.1] hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),C)=hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,A),C)),hAPP(hAPP(c_Lambda_Olift,B),C)).
% 216.36/216.43 Following clause subsumed by 669 during input processing: 0 [copy,791,flip.1] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 216.36/216.43 Following clause subsumed by 670 during input processing: 0 [copy,792,flip.1] c_List_Ofoldr(A,B,C,D,E)=c_List_Ofoldl(c_COMBC(A,D,E,E),C,c_List_Orev(B,D),E,D).
% 216.78/216.83 >>>> Starting back demodulation with 794.
% 216.78/216.83 >> back demodulating 699 with 794.
% 216.78/216.83 Following clause subsumed by 679 during input processing: 0 [copy,796,flip.1] c_List_Olist__update(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),E,D)=c_List_Oappend(A,c_List_Olist_OCons(E,C,D),D).
% 216.78/216.83 Following clause subsumed by 682 during input processing: 0 [copy,797,flip.1] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Olist_OCons(B,D,C),C)=c_List_Oappend(c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C),D,C).
% 216.78/216.83 Following clause subsumed by 690 during input processing: 0 [copy,798,flip.1] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),C),D)=hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),C),D)),hAPP(hAPP(hAPP(c_Lambda_Osubst,B),C),D)).
% 216.78/216.83 Following clause subsumed by 702 during input processing: 0 [copy,802,flip.1] c_List_Omap(A,c_List_Oreplicate(B,C,D),D,E)=c_List_Oreplicate(B,hAPP(A,C),E).
% 216.78/216.83 Following clause subsumed by 703 during input processing: 0 [copy,803,flip.1] c_Nat_Osize__class_Osize(c_List_Omap(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(B,tc_List_Olist(C)).
% 216.78/216.83 Following clause subsumed by 704 during input processing: 0 [copy,804,flip.1] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C),D)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),C),D),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),C),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),D),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 216.78/216.83 Following clause subsumed by 712 during input processing: 0 [copy,805,flip.1] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 216.78/216.83 Following clause subsumed by 723 during input processing: 0 [copy,806,flip.1] c_List_Omap(A,c_List_Olist__update(B,C,D,E),E,F)=c_List_Olist__update(c_List_Omap(A,B,E,F),C,hAPP(A,D),F).
% 216.78/216.83 Following clause subsumed by 772 during input processing: 0 [copy,807,flip.1] c_COMBB(A,B,C,D,E,F)=hAPP(A,hAPP(B,C)).
% 216.78/216.83 Following clause subsumed by 788 during input processing: 0 [copy,808,flip.1] c_List_Oappend(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),C,B)=c_List_Olist_OCons(A,C,B).
% 216.78/216.83
% 216.78/216.83 ======= end of input processing =======
% 216.78/216.83
% 216.78/216.83 =========== start of search ===========
% 216.78/216.83
% 216.78/216.83
% 216.78/216.83 Resetting weight limit to 2.
% 216.78/216.83
% 216.78/216.83
% 216.78/216.83 Resetting weight limit to 2.
% 216.78/216.83
% 216.78/216.83 sos_size=218
% 216.78/216.83
% 216.78/216.83 Search stopped in tp_alloc by max_mem option.
% 216.78/216.83
% 216.78/216.83 Search stopped in tp_alloc by max_mem option.
% 216.78/216.83
% 216.78/216.83 ============ end of search ============
% 216.78/216.83
% 216.78/216.83 -------------- statistics -------------
% 216.78/216.83 clauses given 125
% 216.78/216.83 clauses generated 46543
% 216.78/216.83 clauses kept 667
% 216.78/216.83 clauses forward subsumed 151
% 216.78/216.83 clauses back subsumed 17
% 216.78/216.83 Kbytes malloced 11718
% 216.78/216.83
% 216.78/216.83 ----------- times (seconds) -----------
% 216.78/216.83 user CPU time 0.49 (0 hr, 0 min, 0 sec)
% 216.78/216.83 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 216.78/216.83 wall-clock time 216 (0 hr, 3 min, 36 sec)
% 216.78/216.83
% 216.78/216.83 Process 24623 finished Wed Jul 27 09:24:42 2022
% 216.78/216.83 Otter interrupted
% 216.78/216.83 PROOF NOT FOUND
%------------------------------------------------------------------------------