TSTP Solution File: LCL810-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL810-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 13:05:29 EDT 2022
% Result : Unknown 49.44s 49.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL810-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 09:33:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 49.23/49.35 ----- Otter 3.3f, August 2004 -----
% 49.23/49.35 The process was started by sandbox2 on n028.cluster.edu,
% 49.23/49.35 Wed Jul 27 09:33:04 2022
% 49.23/49.35 The command was "./otter". The process ID is 24386.
% 49.23/49.35
% 49.23/49.35 set(prolog_style_variables).
% 49.23/49.35 set(auto).
% 49.23/49.35 dependent: set(auto1).
% 49.23/49.35 dependent: set(process_input).
% 49.23/49.35 dependent: clear(print_kept).
% 49.23/49.35 dependent: clear(print_new_demod).
% 49.23/49.35 dependent: clear(print_back_demod).
% 49.23/49.35 dependent: clear(print_back_sub).
% 49.23/49.35 dependent: set(control_memory).
% 49.23/49.35 dependent: assign(max_mem, 12000).
% 49.23/49.35 dependent: assign(pick_given_ratio, 4).
% 49.23/49.35 dependent: assign(stats_level, 1).
% 49.23/49.35 dependent: assign(max_seconds, 10800).
% 49.23/49.35 clear(print_given).
% 49.23/49.35
% 49.23/49.35 list(usable).
% 49.23/49.35 0 [] A=A.
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Odistinct(c_List_Ofilter(V_P,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 49.23/49.35 0 [] c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_b))!=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a))|c_Nat_Osize__class_Osize(V_x,tc_List_Olist(T_b))!=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))|c_List_Olist__all2(V_P,c_List_Oappend(V_xs,V_ys,T_a),c_List_Oappend(V_x,V_xa,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_ys,V_xa,T_a,T_b)| -c_List_Olist__all2(V_P,V_xs,V_x,T_a,T_b).
% 49.23/49.35 0 [] c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))!=c_Nat_Osize__class_Osize(V_zs,tc_List_Olist(T_b))|c_Nat_Osize__class_Osize(V_x,tc_List_Olist(T_a))!=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))|c_List_Olist__all2(V_P,c_List_Oappend(V_x,V_xa,T_a),c_List_Oappend(V_ys,V_zs,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_xa,V_zs,T_a,T_b)| -c_List_Olist__all2(V_P,V_x,V_ys,T_a,T_b).
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,c_List_Oappend(V_a,V_c,T_a),c_List_Oappend(V_b,V_d,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_c,V_d,T_a,T_b)| -c_List_Olist__all2(V_P,V_a,V_b,T_a,T_b).
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)).
% 49.23/49.35 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_List_Olistsum(c_List_Olist_ONil(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 49.23/49.35 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 49.23/49.35 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 49.23/49.35 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a).
% 49.23/49.35 0 [] V_xs=V_ys| -c_List_Olist__all2(c_fe_qual(T_a),V_xs,V_ys,T_a,T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a).
% 49.23/49.35 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_c)=c_Lattices_Olower__semilattice__class_Oinf(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).
% 49.23/49.35 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a))=c_Lattices_Olower__semilattice__class_Oinf(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),T_a).
% 49.23/49.35 0 [] -class_OrderedGroup_Olordered__ab__group__add__meet(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_c)=c_Lattices_Olower__semilattice__class_Oinf(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).
% 49.23/49.35 0 [] -class_OrderedGroup_Olordered__ab__group__add__meet(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a))=c_Lattices_Olower__semilattice__class_Oinf(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),T_a).
% 49.23/49.35 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,c_List_Otake(V_n,V_xs,T_a),c_List_Otake(V_n,V_ys,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b).
% 49.23/49.35 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a)=c_HOL_Oone__class_Oone(T_a).
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_List_Otake(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a)=c_List_Odrop(V_m,c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_xs,T_a),T_a).
% 49.23/49.35 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)).
% 49.23/49.35 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)).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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)).
% 49.23/49.35 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)).
% 49.23/49.35 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)).
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)).
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)).
% 49.23/49.35 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)).
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Odrop(V_n,V_xs,T_a),T_a)| -c_List_Olinorder__class_Osorted(V_xs,T_a).
% 49.23/49.35 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_List_Olistsum(V_xs,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).
% 49.23/49.35 0 [] -hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(t_b),t_a,t_b)))|hBOOL(hAPP(V_P,V_f1)).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 0 [] c_List_Olist__all(V_P,c_List_Olist_ONil(T_a),T_a).
% 49.23/49.35 0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_m=V_n.
% 49.23/49.35 0 [] c_List_Oappend(V_ys,V_xs,T_a)!=c_List_Oappend(V_zs,V_xs,T_a)|V_ys=V_zs.
% 49.23/49.35 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Oappend(V_xs,V_zs,T_a)|V_ys=V_zs.
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Otake(V_n,V_xs,T_a),T_a)| -c_List_Olinorder__class_Osorted(V_xs,T_a).
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_OtakeWhile(V_P,V_xs,T_a)=c_List_Otake(c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),V_xs,T_a).
% 49.23/49.35 0 [] c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 49.23/49.35 0 [] V_x=c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a).
% 49.23/49.35 0 [] V_xs=c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a).
% 49.23/49.35 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 49.23/49.35 0 [] V_ys=c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a).
% 49.23/49.35 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 49.23/49.35 0 [] c_List_Odistinct(V_ys,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 49.23/49.35 0 [] V_xs=c_List_Orev(c_List_Orev(V_xs,T_a),T_a).
% 49.23/49.35 0 [] c_List_Orev(c_List_Orev(V_ys,T_a),T_a)=V_ys.
% 49.23/49.35 0 [] c_List_Orev(c_List_Orev(V_xs,T_a),T_a)=V_xs.
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)| -c_List_Olist__all2(V_P,c_List_Orev(V_xs,T_a),c_List_Orev(V_ys,T_b),T_a,T_b).
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,c_List_Orev(V_xs,T_a),c_List_Orev(V_ys,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b).
% 49.23/49.35 0 [] c_Lambda_Osubstn(c_Lambda_OdB_OAbs(V_t),V_s,V_k)=c_Lambda_OdB_OAbs(c_Lambda_Osubstn(V_t,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m).
% 49.23/49.35 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).
% 49.23/49.35 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)).
% 49.23/49.35 0 [] c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Nat_Osemiring__char__0(T_a)|c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)!=c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)|V_m=V_n.
% 49.23/49.35 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).
% 49.23/49.35 0 [] hAPP(V_e,V_i)=V_T| -c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T).
% 49.23/49.35 0 [] c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 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)).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 49.23/49.35 0 [] c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))| -c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b).
% 49.23/49.35 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a)=V_x.
% 49.23/49.35 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a)=V_a.
% 49.23/49.35 0 [] -c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a).
% 49.23/49.35 0 [] -c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Ofilter(V_P,c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 49.23/49.35 0 [] hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x)=V_T.
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 49.23/49.35 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 49.23/49.35 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 49.23/49.35 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 49.23/49.35 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 49.23/49.35 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 49.23/49.35 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)|V_y=V_z.
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)|V_m=V_n.
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)|V_m=V_n.
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_OtakeWhile(V_P,V_xs,T_a),T_a)| -c_List_Olinorder__class_Osorted(V_xs,T_a).
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_List_Oremove1(V_x,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 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)).
% 49.23/49.35 0 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t))| -c_Lambda_Obeta(V_s,V_t).
% 49.23/49.35 0 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u))| -c_Lambda_Obeta(V_s,V_t).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 49.23/49.35 0 [] c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 49.23/49.35 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a).
% 49.23/49.35 0 [] c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)).
% 49.23/49.35 0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b)=V_f1.
% 49.23/49.35 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))!=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))|c_List_Olist__all2(V_P,c_List_Oappend(V_xs,V_us,T_a),c_List_Oappend(V_ys,V_vs,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_us,V_vs,T_a,T_b)| -c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b).
% 49.23/49.35 0 [] c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 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)).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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)).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist_ONil(T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 49.23/49.35 0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 49.23/49.35 0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 49.23/49.35 0 [] c_List_Olist__all(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a)| -c_List_Olist__all(V_P,V_ys,T_a)| -c_List_Olist__all(V_P,V_xs,T_a).
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 49.23/49.35 0 [] c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))| -c_Lambda_Obeta(V_s,V_t).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Orev(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Odistinct(c_List_OtakeWhile(V_P,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 49.23/49.35 0 [] c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Orotate(V_m,c_List_Orotate(V_n,V_xs,T_a),T_a)=c_List_Orotate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_xs,T_a).
% 49.23/49.35 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 49.23/49.35 0 [] c_List_Ofilter(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_Ofilter(V_P,V_xs,T_a),c_List_Ofilter(V_P,V_ys,T_a),T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,c_List_Orev(V_xs,T_a),V_ys,T_a,T_b)| -c_List_Olist__all2(V_P,V_xs,c_List_Orev(V_ys,T_b),T_a,T_b).
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,V_xs,c_List_Orev(V_ys,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,c_List_Orev(V_xs,T_a),V_ys,T_a,T_b).
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 49.23/49.35 0 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 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)).
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 0 [] -class_Ring__and__Field_Osemiring__0(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a).
% 49.23/49.35 0 [] c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k)=V_t.
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.35 0 [] V_x!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)|V_a=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=V_m|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.35 0 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=V_xs.
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] V_x=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)).
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)=V_n.
% 49.23/49.35 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat))=V_m.
% 49.23/49.35 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).
% 49.23/49.35 0 [] -hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_xa,V_xb,t_b),t_a,t_b)))|hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))).
% 49.23/49.35 0 [] -hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,t_b),t_a,t_b)))|hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_a),V_list))).
% 49.23/49.35 0 [] c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Ofilter(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 0 [] c_List_Olist__all(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)| -c_List_Olist__all(V_P,V_xs,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Oremove1(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a)=c_List_Olist_OCons(V_y,c_List_Oremove1(V_x,V_xs,T_a),T_a)|V_x=V_y.
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xa,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_xa,V_ys,T_a,T_b)| -hBOOL(hAPP(hAPP(V_P,V_x),V_y)).
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_xa,V_xb,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_xs,V_xb,T_a,T_b)| -hBOOL(hAPP(hAPP(V_P,V_x),V_xa)).
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)| -hBOOL(hAPP(hAPP(V_P,V_x),V_y)).
% 49.23/49.35 0 [] c_List_OListMem(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)| -c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b).
% 49.23/49.35 0 [] c_List_Ofilter(V_P,V_ys,T_a)!=c_List_Olist_OCons(V_x,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_ys=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a))=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 49.23/49.35 0 [] c_List_Odistinct(c_List_Oremove1(V_x,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))!=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))|c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)| -c_List_Olist__all2(V_P,c_List_Oappend(V_xs,V_us,T_a),c_List_Oappend(V_ys,V_vs,T_b),T_a,T_b).
% 49.23/49.35 0 [] c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))!=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))|c_List_Olist__all2(V_P,V_us,V_vs,T_a,T_b)| -c_List_Olist__all2(V_P,c_List_Oappend(V_xs,V_us,T_a),c_List_Oappend(V_ys,V_vs,T_b),T_a,T_b).
% 49.23/49.35 0 [] 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))| -c_Lambda_Obeta(V_r,V_s).
% 49.23/49.35 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)).
% 49.23/49.35 0 [] c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_l,T_a),T_a),T_a)=c_List_OtakeWhile(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 0 [] c_List_Olist_ONil(T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a).
% 49.23/49.35 0 [] 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))).
% 49.23/49.35 0 [] c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a))).
% 49.23/49.35 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_List_Olistsum(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Olistsum(V_xs,T_a)).
% 49.23/49.35 0 [] c_Lambda_Oliftn(V_n,c_Lambda_OdB_OAbs(V_s),V_k)=c_Lambda_OdB_OAbs(c_Lambda_Oliftn(V_n,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,c_List_Odrop(V_n,V_as,T_a),c_List_Odrop(V_n,V_bs,T_b),T_a,T_b)| -c_List_Olist__all2(V_P,V_as,V_bs,T_a,T_b).
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Odistinct(c_List_Olist_ONil(T_a),T_a).
% 49.23/49.35 0 [] -c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t).
% 49.23/49.35 0 [] c_List_Oremove1(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a)=c_List_Ofilter(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 0 [] c_List_Ofilter(V_P,c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 0 [] c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a)=c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_xs,T_a).
% 49.23/49.35 0 [] c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_x,T_a)=c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a).
% 49.23/49.35 0 [] V_ys=c_List_Olist_ONil(T_b)| -c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),V_ys,T_a,T_b).
% 49.23/49.35 0 [] V_xs=c_List_Olist_ONil(T_a)| -c_List_Olist__all2(V_P,V_xs,c_List_Olist_ONil(T_b),T_a,T_b).
% 49.23/49.35 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Orev(V_xs,T_a)!=c_List_Orev(V_ys,T_a)|V_xs=V_ys.
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a).
% 49.23/49.35 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a).
% 49.23/49.35 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a).
% 49.23/49.35 0 [] c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_List_Olistsum(c_List_Orev(V_xs,T_a),T_a)=c_List_Olistsum(V_xs,T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a))=V_n.
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist_ONil(T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Olist__update(V_xs,V_i,c_List_Onth(V_xs,V_i,T_a),T_a)=V_xs.
% 49.23/49.35 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 49.23/49.35 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 49.23/49.35 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 49.23/49.35 0 [] c_List_Orotate(V_n,V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] V_xs!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_ys|V_xs=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] V_ys!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 49.23/49.35 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 49.23/49.35 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.
% 49.23/49.35 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).
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -c_Lambda_Obeta(V_t,V_t_H)| -c_Type_Otyping(V_e,V_t,V_T).
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(V_xs,T_a)| -c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(V_ys,T_a)| -c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 49.23/49.35 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 49.23/49.35 0 [] c_List_Olist__all(V_P,V_xs,T_a)| -c_List_Olist__all(V_P,c_List_Orev(V_xs,T_a),T_a).
% 49.23/49.35 0 [] c_List_Olist__all(V_P,c_List_Orev(V_xs,T_a),T_a)| -c_List_Olist__all(V_P,V_xs,T_a).
% 49.23/49.35 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 49.23/49.35 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 49.23/49.35 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).
% 49.23/49.35 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)).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist_ONil(T_a)=c_List_Orev(c_List_Olist_ONil(T_a),T_a).
% 49.23/49.35 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)).
% 49.23/49.35 0 [] c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))),V_n),T_a)=c_List_Onth(V_ys,V_n,T_a).
% 49.23/49.35 0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)).
% 49.23/49.35 0 [] c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_b),T_a,T_b).
% 49.23/49.35 0 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 49.23/49.35 0 [] c_List_Orev(c_List_Ofilter(V_P,V_xs,T_a),T_a)=c_List_Ofilter(V_P,c_List_Orev(V_xs,T_a),T_a).
% 49.23/49.35 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_List_Olistsum(c_List_Oappend(V_xs,V_ys,T_a),T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_List_Olistsum(V_xs,T_a)),c_List_Olistsum(V_ys,T_a)).
% 49.23/49.35 0 [] c_List_Olist__all2(c_fe_qual(T_a),V_x,V_x,T_a,T_a).
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_List_Olist__all(V_P,V_xs,T_a)| -c_List_Olist__all(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 49.23/49.35 0 [] c_List_Olist__all(V_P,V_ys,T_a)| -c_List_Olist__all(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 49.23/49.35 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OAbs(V_s)),V_k)=c_Lambda_OdB_OAbs(hAPP(hAPP(c_Lambda_Olift,V_s),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Oremove1(V_a,V_xs,T_a),T_a)| -c_List_Olinorder__class_Osorted(V_xs,T_a).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Ofilter(V_P,V_ys,T_a)|hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,T_b),T_a,T_b)=hAPP(hAPP(V_f2,V_a),V_list).
% 49.23/49.35 0 [] c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_xs.
% 49.23/49.35 0 [] hBOOL(hAPP(hAPP(V_P,V_x),V_y))| -c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 49.23/49.35 0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 49.23/49.35 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).
% 49.23/49.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(V_xs,T_a)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 49.23/49.35 0 [] c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_OtakeWhile(V_P,V_xs,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 49.23/49.35 0 [] c_List_Olist__all(V_P,V_xs,T_a)| -c_List_Olist__all(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 49.23/49.35 0 [] hBOOL(hAPP(V_P,V_x))| -c_List_Olist__all(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 49.23/49.35 0 [] c_List_OListMem(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a)| -c_List_OListMem(V_x,V_xs,T_a).
% 49.23/49.35 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 49.23/49.35 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_List_Olistsum(c_List_Omap(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,T_b),V_xs,T_b,T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 49.23/49.35 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|V_xs=c_List_Olist_OCons(c_List_Osko__List__Xmap__e_q__Cons__conv__1__1(V_f,V_xs,V_y,V_ys,T_b,T_a),c_List_Osko__List__Xmap__e_q__Cons__conv__1__2(V_f,V_xs,V_y,V_ys,T_b,T_a),T_b).
% 49.23/49.35 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Omap(V_f,V_ys,T_b,T_a)|V_ys=c_List_Olist_OCons(c_List_Osko__List__XCons__e_q__map__conv__1__1(V_f,V_x,V_xs,V_ys,T_b,T_a),c_List_Osko__List__XCons__e_q__map__conv__1__2(V_f,V_x,V_xs,V_ys,T_b,T_a),T_b).
% 49.23/49.35 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|V_xs=c_List_Olist_OCons(c_List_Osko__List__Xmap__e_q__Cons__D__1__1(V_f,V_xs,V_y,V_ys,T_b,T_a),c_List_Osko__List__Xmap__e_q__Cons__D__1__2(V_f,V_xs,V_y,V_ys,T_b,T_a),T_b).
% 49.23/49.35 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Omap(V_f,V_ys,T_b,T_a)|V_ys=c_List_Olist_OCons(c_List_Osko__List__XCons__e_q__map__D__1__1(V_f,V_x,V_xs,V_ys,T_b,T_a),c_List_Osko__List__XCons__e_q__map__D__1__2(V_f,V_x,V_xs,V_ys,T_b,T_a),T_b).
% 49.23/49.35 0 [] c_Lambda_Osubstn(V_t,V_s,V_n)=hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat))),V_n).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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.
% 49.23/49.35 0 [] c_List_Odistinct(V_xs,T_b)| -c_List_Odistinct(c_List_Omap(V_f,V_xs,T_b,T_a),T_a).
% 49.23/49.35 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).
% 49.23/49.35 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)).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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)).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a)=c_List_Olist_ONil(T_a).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olist_ONil(T_a)=c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a).
% 49.23/49.35 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))).
% 49.23/49.35 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)).
% 49.23/49.35 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k)=V_u.
% 49.23/49.35 0 [] 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))| -c_Lambda_Obeta(V_r,V_s).
% 49.23/49.35 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(V_t)),V_s),V_k)=c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),hAPP(hAPP(c_Lambda_Olift,V_s),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))).
% 49.23/49.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 49.23/49.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_ua______)).
% 49.23/49.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Olistsp(V_A,V_xs,T_a)| -hBOOL(hAPP(V_A,c_List_Osko__List__Xin__listsp__conv__set__1__1(V_A,V_xs,T_a))).
% 49.23/49.35 0 [] c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_l,T_a)| -c_List_Olistsp(V_B,V_l,T_a)| -c_List_Olistsp(V_A,V_l,T_a).
% 49.23/49.35 0 [] c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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)).
% 49.23/49.35 0 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,V_r),V_i),hAPP(hAPP(c_Lambda_Olift,V_s),V_i))| -c_Lambda_Obeta(V_r,V_s).
% 49.23/49.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),V_ua),V_ia)))| -c_Type_Otyping(V_ea,V_ua,v_T____)| -hBOOL(hAPP(c_InductTermi_OIT,V_ua))| -c_Type_Otyping(c_Type_Oshift(V_ea,V_ia,v_T____,tc_Type_Otype),v_b____,V_T_H).
% 49.23/49.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),V_u),V_ia)))| -c_Type_Otyping(V_ea,V_u,v_T____)| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -c_Type_Otyping(c_Type_Oshift(V_ea,V_ia,v_T____,tc_Type_Otype),v_b____,V_T_H).
% 49.23/49.35 0 [] v_n____=v_i____.
% 49.23/49.35 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a)=c_HOL_Ozero__class_Ozero(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.35 0 [] -class_Ring__and__Field_Osemiring__0(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a)=c_HOL_Ozero__class_Ozero(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.35 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 49.23/49.35 0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 49.23/49.35 0 [] c_Type_Otypings(V_e,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,V_u,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),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).
% 49.23/49.35 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.
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|c_List_Omap(V_f,c_List_Osko__List__Xmap__e_q__Cons__D__1__2(V_f,V_xs,V_y,V_ys,T_b,T_a),T_b,T_a)=V_ys.
% 49.23/49.35 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Omap(V_f,V_ys,T_b,T_a)|V_xs=c_List_Omap(V_f,c_List_Osko__List__XCons__e_q__map__conv__1__2(V_f,V_x,V_xs,V_ys,T_b,T_a),T_b,T_a).
% 49.23/49.35 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|hAPP(V_f,c_List_Osko__List__Xmap__e_q__Cons__D__1__1(V_f,V_xs,V_y,V_ys,T_b,T_a))=V_y.
% 49.23/49.35 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|hAPP(V_f,c_List_Osko__List__Xmap__e_q__Cons__conv__1__1(V_f,V_xs,V_y,V_ys,T_b,T_a))=V_y.
% 49.23/49.35 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|c_List_Omap(V_f,c_List_Osko__List__Xmap__e_q__Cons__conv__1__2(V_f,V_xs,V_y,V_ys,T_b,T_a),T_b,T_a)=V_ys.
% 49.23/49.35 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Omap(V_f,V_ys,T_b,T_a)|V_x=hAPP(V_f,c_List_Osko__List__XCons__e_q__map__conv__1__1(V_f,V_x,V_xs,V_ys,T_b,T_a)).
% 49.23/49.35 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Omap(V_f,V_ys,T_b,T_a)|V_x=hAPP(V_f,c_List_Osko__List__XCons__e_q__map__D__1__1(V_f,V_x,V_xs,V_ys,T_b,T_a)).
% 49.23/49.35 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Omap(V_f,V_ys,T_b,T_a)|V_xs=c_List_Omap(V_f,c_List_Osko__List__XCons__e_q__map__D__1__2(V_f,V_x,V_xs,V_ys,T_b,T_a),T_b,T_a).
% 49.23/49.35 0 [] c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),c_HOL_Ozero__class_Ozero(tc_nat)).
% 49.23/49.35 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(c_COMBC(c_Lambda_Olift,V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 49.23/49.35 0 [] c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)| -c_Type_Otypings(V_e,V_ts,V_Ts).
% 49.23/49.35 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)).
% 49.23/49.35 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(c_COMBC(c_COMBC(c_Lambda_Osubst,V_u,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 49.23/49.35 0 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)| -c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB).
% 49.23/49.35 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.
% 49.23/49.35 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.
% 49.23/49.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 49.23/49.35 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 49.23/49.35 0 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 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).
% 49.23/49.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 49.23/49.35 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k)=V_t.
% 49.23/49.35 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 49.23/49.35 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 49.23/49.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)))).
% 49.23/49.35 0 [] -c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB).
% 49.23/49.35 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 49.23/49.35 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 49.23/49.35 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 49.23/49.35 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 49.23/49.35 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 49.23/49.35 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 49.23/49.35 0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 49.23/49.35 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 49.23/49.35 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 49.23/49.35 0 [] class_OrderedGroup_Osemigroup__add(tc_nat).
% 49.23/49.35 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 49.23/49.35 0 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 49.23/49.35 0 [] class_Ring__and__Field_Osemiring__0(tc_nat).
% 49.23/49.35 0 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 49.23/49.35 0 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 49.23/49.35 0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 49.23/49.35 0 [] class_Nat_Osemiring__char__0(tc_nat).
% 49.23/49.35 0 [] class_Orderings_Olinorder(tc_nat).
% 49.23/49.35 0 [] class_Lattices_Olattice(tc_nat).
% 49.23/49.35 0 [] class_Power_Opower(tc_nat).
% 49.23/49.35 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 49.23/49.35 0 [] class_Lattices_Olattice(tc_bool).
% 49.23/49.35 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 49.23/49.35 0 [] c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c)=hAPP(V_P,hAPP(V_Q,V_R)).
% 49.23/49.35 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 49.23/49.35 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 49.23/49.35 end_of_list.
% 49.23/49.35
% 49.23/49.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 49.23/49.35
% 49.23/49.35 This ia a non-Horn set with equality. The strategy will be
% 49.23/49.35 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 49.23/49.35 deletion, with positive clauses in sos and nonpositive
% 49.23/49.35 clauses in usable.
% 49.23/49.35
% 49.23/49.35 dependent: set(knuth_bendix).
% 49.23/49.35 dependent: set(anl_eq).
% 49.23/49.35 dependent: set(para_from).
% 49.23/49.35 dependent: set(para_into).
% 49.23/49.35 dependent: clear(para_from_right).
% 49.23/49.35 dependent: clear(para_into_right).
% 49.23/49.35 dependent: set(para_from_vars).
% 49.23/49.35 dependent: set(eq_units_both_ways).
% 49.23/49.35 dependent: set(dynamic_demod_all).
% 49.23/49.35 dependent: set(dynamic_demod).
% 49.23/49.35 dependent: set(order_eq).
% 49.23/49.35 dependent: set(back_demod).
% 49.23/49.35 dependent: set(lrpo).
% 49.23/49.35 dependent: set(hyper_res).
% 49.23/49.35 dependent: set(unit_deletion).
% 49.23/49.35 dependent: set(factor).
% 49.23/49.35
% 49.23/49.35 ------------> process usable:
% 49.23/49.35 ** KEPT (pick-wt=9): 1 [] c_List_Odistinct(c_List_Ofilter(A,B,C),C)| -c_List_Odistinct(B,C).
% 49.23/49.35 ** KEPT (pick-wt=15): 2 [] 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).
% 49.23/49.35 ** KEPT (pick-wt=42): 3 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_Nat_Osize__class_Osize(C,tc_List_Olist(D))|c_Nat_Osize__class_Osize(E,tc_List_Olist(B))!=c_Nat_Osize__class_Osize(F,tc_List_Olist(D))|c_List_Olist__all2(G,c_List_Oappend(F,C,D),c_List_Oappend(E,A,B),D,B)| -c_List_Olist__all2(G,C,A,D,B)| -c_List_Olist__all2(G,F,E,D,B).
% 49.23/49.35 ** KEPT (pick-wt=42): 4 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_Nat_Osize__class_Osize(C,tc_List_Olist(D))|c_Nat_Osize__class_Osize(E,tc_List_Olist(B))!=c_Nat_Osize__class_Osize(F,tc_List_Olist(D))|c_List_Olist__all2(G,c_List_Oappend(E,A,B),c_List_Oappend(F,C,D),B,D)| -c_List_Olist__all2(G,A,C,B,D)| -c_List_Olist__all2(G,E,F,B,D).
% 49.23/49.35 ** KEPT (pick-wt=24): 5 [] c_List_Olist__all2(A,c_List_Oappend(B,C,D),c_List_Oappend(E,F,G),D,G)| -c_List_Olist__all2(A,C,F,D,G)| -c_List_Olist__all2(A,B,E,D,G).
% 49.23/49.35 ** KEPT (pick-wt=13): 6 [] 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.
% 49.23/49.35 ** KEPT (pick-wt=9): 7 [] -class_OrderedGroup_Omonoid__add(A)|c_List_Olistsum(c_List_Olist_ONil(A),A)=c_HOL_Ozero__class_Ozero(A).
% 49.23/49.35 ** KEPT (pick-wt=11): 8 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 49.23/49.35 ** KEPT (pick-wt=11): 9 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 49.23/49.35 ** KEPT (pick-wt=20): 10 [] 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).
% 49.23/49.35 ** KEPT (pick-wt=30): 11 [] 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).
% 49.23/49.35 ** KEPT (pick-wt=6): 12 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_ONil(A),A).
% 49.23/49.35 ** KEPT (pick-wt=10): 13 [] A=B| -c_List_Olist__all2(c_fe_qual(C),A,B,C,C).
% 49.23/49.35 ** KEPT (pick-wt=9): 14 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 49.23/49.35 ** KEPT (pick-wt=26): 15 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A)),D)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A).
% 49.23/49.35 ** KEPT (pick-wt=26): 16 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,A))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A).
% 49.23/49.35 ** KEPT (pick-wt=26): 17 [] -class_OrderedGroup_Olordered__ab__group__add__meet(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A)),D)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A).
% 49.23/49.35 ** KEPT (pick-wt=26): 18 [] -class_OrderedGroup_Olordered__ab__group__add__meet(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,A))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A).
% 49.23/49.35 ** KEPT (pick-wt=18): 19 [] c_List_Olist__all2(A,c_List_Otake(B,C,D),c_List_Otake(B,E,F),D,F)| -c_List_Olist__all2(A,C,E,D,F).
% 49.23/49.35 ** KEPT (pick-wt=10): 20 [] -class_OrderedGroup_Omonoid__mult(A)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A)=c_HOL_Oone__class_Oone(A).
% 49.23/49.35 ** KEPT (pick-wt=28): 21 [] -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.
% 49.23/49.35 ** KEPT (pick-wt=25): 22 [] -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)).
% 49.23/49.35 ** KEPT (pick-wt=25): 23 [] -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)).
% 49.23/49.35 ** KEPT (pick-wt=25): 24 [] -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).
% 49.23/49.35 Following clause subsumed by 22 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)).
% 49.23/49.36 ** KEPT (pick-wt=25): 25 [] -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)).
% 49.23/49.36 ** KEPT (pick-wt=25): 26 [] -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)).
% 49.23/49.36 ** KEPT (pick-wt=25): 27 [] -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)).
% 49.23/49.36 ** KEPT (pick-wt=25): 28 [] -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)).
% 49.23/49.36 Following clause subsumed by 22 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)).
% 49.23/49.36 ** KEPT (pick-wt=11): 29 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Odrop(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 49.23/49.36 ** KEPT (pick-wt=14): 30 [] -class_OrderedGroup_Omonoid__add(A)|c_List_Olistsum(B,A)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A),B,A,A).
% 49.23/49.36 ** KEPT (pick-wt=14): 31 [] -hBOOL(hAPP(A,c_List_Olist_Olist__case(B,C,c_List_Olist_ONil(t_b),t_a,t_b)))|hBOOL(hAPP(A,B)).
% 49.23/49.36 ** KEPT (pick-wt=16): 32 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=16): 33 [] -c_ListOrder_Ostep1(A,B,C,D)|c_ListOrder_Ostep1(A,c_List_Oappend(B,E,D),c_List_Oappend(C,E,D),D).
% 49.23/49.36 ** KEPT (pick-wt=16): 34 [] c_ListOrder_Ostep1(A,c_List_Oappend(B,C,D),c_List_Oappend(B,E,D),D)| -c_ListOrder_Ostep1(A,C,E,D).
% 49.23/49.36 ** KEPT (pick-wt=12): 35 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|A=D.
% 49.23/49.36 ** KEPT (pick-wt=12): 36 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,B,C)|A=D.
% 49.23/49.36 ** KEPT (pick-wt=12): 37 [] c_List_Oappend(A,B,C)!=c_List_Oappend(A,D,C)|B=D.
% 49.23/49.36 ** KEPT (pick-wt=11): 38 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Otake(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 49.23/49.36 ** KEPT (pick-wt=9): 39 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(A,C,B),B).
% 49.23/49.36 ** KEPT (pick-wt=9): 40 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(C,A,B),B).
% 49.23/49.36 ** KEPT (pick-wt=16): 41 [] c_List_Olist__all2(A,B,C,D,E)| -c_List_Olist__all2(A,c_List_Orev(B,D),c_List_Orev(C,E),D,E).
% 49.23/49.36 ** KEPT (pick-wt=16): 42 [] c_List_Olist__all2(A,c_List_Orev(B,C),c_List_Orev(D,E),C,E)| -c_List_Olist__all2(A,B,D,C,E).
% 49.23/49.36 ** KEPT (pick-wt=15): 43 [] -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).
% 49.23/49.36 ** KEPT (pick-wt=15): 44 [] -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).
% 49.23/49.36 Following clause subsumed by 43 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).
% 49.23/49.36 ** KEPT (pick-wt=27): 46 [copy,45,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).
% 49.23/49.36 ** KEPT (pick-wt=28): 47 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=12): 48 [] -class_Nat_Osemiring__char__0(A)|c_Nat_Osemiring__1__class_Oof__nat(B,A)!=c_Nat_Osemiring__1__class_Oof__nat(C,A)|B=C.
% 49.23/49.36 ** KEPT (pick-wt=16): 49 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=10): 50 [] hAPP(A,B)=C| -c_Type_Otyping(A,c_Lambda_OdB_OVar(B),C).
% 49.23/49.36 ** KEPT (pick-wt=5): 51 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 49.23/49.36 ** KEPT (pick-wt=15): 52 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))=c_Nat_Osize__class_Osize(C,tc_List_Olist(D))| -c_List_Olist__all2(E,A,C,B,D).
% 49.23/49.36 ** KEPT (pick-wt=9): 53 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_HOL_Oone__class_Oone(tc_nat),A)=B.
% 49.23/49.36 ** KEPT (pick-wt=9): 54 [] -class_OrderedGroup_Omonoid__mult(A)|c_Power_Opower__class_Opower(B,c_HOL_Oone__class_Oone(tc_nat),A)=B.
% 49.23/49.36 ** KEPT (pick-wt=6): 55 [] -c_ListOrder_Ostep1(A,c_List_Olist_ONil(B),C,B).
% 49.23/49.36 ** KEPT (pick-wt=6): 56 [] -c_ListOrder_Ostep1(A,B,c_List_Olist_ONil(C),C).
% 49.23/49.36 ** KEPT (pick-wt=23): 57 [] -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).
% 49.23/49.36 ** KEPT (pick-wt=16): 58 [] c_List_Ofilter(A,c_List_Oreplicate(B,C,D),D)=c_List_Oreplicate(B,C,D)| -hBOOL(hAPP(A,C)).
% 49.23/49.36 ** KEPT (pick-wt=15): 59 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=17): 60 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 49.23/49.36 ** KEPT (pick-wt=17): 61 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 49.23/49.36 ** KEPT (pick-wt=17): 62 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 49.23/49.36 ** KEPT (pick-wt=17): 63 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 49.23/49.36 ** KEPT (pick-wt=11): 64 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|B=c_List_Olist_ONil(A).
% 49.23/49.36 ** KEPT (pick-wt=11): 65 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|C=c_List_Olist_ONil(A).
% 49.23/49.36 ** KEPT (pick-wt=8): 66 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 49.23/49.36 ** KEPT (pick-wt=16): 67 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 49.23/49.36 ** KEPT (pick-wt=16): 68 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)|A=C.
% 49.23/49.36 Following clause subsumed by 67 during input processing: 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 49.23/49.36 ** KEPT (pick-wt=20): 69 [] -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.
% 49.23/49.36 ** KEPT (pick-wt=18): 70 [] -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.
% 49.23/49.36 ** KEPT (pick-wt=18): 71 [] -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.
% 49.23/49.36 ** KEPT (pick-wt=18): 72 [] -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.
% 49.23/49.36 ** KEPT (pick-wt=11): 73 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_OtakeWhile(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 49.23/49.36 ** KEPT (pick-wt=16): 74 [] 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.
% 49.23/49.36 ** KEPT (pick-wt=35): 75 [] -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)).
% 49.23/49.36 ** KEPT (pick-wt=14): 76 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),hAPP(hAPP(c_Lambda_OdB_OApp,A),C))| -c_Lambda_Obeta(B,C).
% 49.23/49.36 ** KEPT (pick-wt=14): 77 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),hAPP(hAPP(c_Lambda_OdB_OApp,C),B))| -c_Lambda_Obeta(A,C).
% 49.23/49.36 ** KEPT (pick-wt=9): 78 [] c_List_Odistinct(c_List_Odrop(A,B,C),C)| -c_List_Odistinct(B,C).
% 49.23/49.36 ** KEPT (pick-wt=8): 79 [] c_List_Odistinct(c_List_Orev(A,B),B)| -c_List_Odistinct(A,B).
% 49.23/49.36 ** KEPT (pick-wt=8): 80 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Orev(A,B),B).
% 49.23/49.36 ** KEPT (pick-wt=10): 81 [] c_List_Orev(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 49.23/49.36 Following clause subsumed by 5 during input processing: 0 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_Nat_Osize__class_Osize(C,tc_List_Olist(D))|c_List_Olist__all2(E,c_List_Oappend(A,F,B),c_List_Oappend(C,G,D),B,D)| -c_List_Olist__all2(E,F,G,B,D)| -c_List_Olist__all2(E,A,C,B,D).
% 49.23/49.36 ** KEPT (pick-wt=13): 82 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,A),c_Lambda_OdB_OVar(B))))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 49.23/49.36 ** KEPT (pick-wt=22): 83 [] -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).
% 49.23/49.36 ** KEPT (pick-wt=27): 84 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=13): 85 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 49.23/49.36 ** KEPT (pick-wt=13): 86 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 49.23/49.36 ** KEPT (pick-wt=15): 87 [] c_List_Olist__all(A,c_List_Oappend(B,C,D),D)| -c_List_Olist__all(A,C,D)| -c_List_Olist__all(A,B,D).
% 49.23/49.36 ** KEPT (pick-wt=9): 88 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_ONil(A),A),A).
% 49.23/49.36 ** KEPT (pick-wt=14): 89 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=9): 90 [] c_List_Odistinct(c_List_Otake(A,B,C),C)| -c_List_Odistinct(B,C).
% 49.23/49.36 ** KEPT (pick-wt=8): 91 [] c_Lambda_Obeta(c_Lambda_OdB_OAbs(A),c_Lambda_OdB_OAbs(B))| -c_Lambda_Obeta(A,B).
% 49.23/49.36 ** KEPT (pick-wt=9): 92 [] c_List_Odistinct(c_List_OtakeWhile(A,B,C),C)| -c_List_Odistinct(B,C).
% 49.23/49.36 ** KEPT (pick-wt=8): 93 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 49.23/49.36 ** KEPT (pick-wt=12): 94 [] c_List_Olist__update(A,B,C,D)!=c_List_Olist_ONil(D)|A=c_List_Olist_ONil(D).
% 49.23/49.36 ** KEPT (pick-wt=16): 95 [] c_List_Olist__all2(A,c_List_Orev(B,C),D,C,E)| -c_List_Olist__all2(A,B,c_List_Orev(D,E),C,E).
% 49.23/49.36 ** KEPT (pick-wt=16): 96 [] c_List_Olist__all2(A,B,c_List_Orev(C,D),E,D)| -c_List_Olist__all2(A,c_List_Orev(B,E),C,E,D).
% 49.23/49.36 ** KEPT (pick-wt=14): 97 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=19): 98 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 49.23/49.36 ** KEPT (pick-wt=13): 99 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 49.23/49.36 ** KEPT (pick-wt=7): 101 [copy,100,flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 49.23/49.36 ** KEPT (pick-wt=15): 102 [] -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).
% 49.23/49.36 ** KEPT (pick-wt=16): 104 [copy,103,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).
% 49.23/49.36 ** KEPT (pick-wt=13): 105 [] -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).
% 49.23/49.36 Following clause subsumed by 101 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).
% 49.23/49.36 ** KEPT (pick-wt=11): 106 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 49.23/49.36 ** KEPT (pick-wt=11): 107 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 49.23/49.36 ** KEPT (pick-wt=13): 109 [copy,108,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.
% 49.23/49.36 ** KEPT (pick-wt=11): 110 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 49.23/49.36 ** KEPT (pick-wt=11): 111 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 49.23/49.36 ** KEPT (pick-wt=11): 112 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 49.23/49.36 ** KEPT (pick-wt=11): 113 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 49.23/49.36 Following clause subsumed by 106 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.
% 49.23/49.36 ** KEPT (pick-wt=13): 114 [] -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 49.23/49.36 ** KEPT (pick-wt=13): 115 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.36 ** KEPT (pick-wt=13): 116 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.36 ** KEPT (pick-wt=12): 118 [copy,117,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.36 Following clause subsumed by 118 during input processing: 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.36 ** KEPT (pick-wt=16): 119 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|B=E|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.36 ** KEPT (pick-wt=20): 120 [] -hBOOL(hAPP(A,c_List_Olist_Olist__case(B,C,c_List_Olist_OCons(D,E,t_b),t_a,t_b)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 49.23/49.36 Following clause subsumed by 120 during input processing: 0 [] -hBOOL(hAPP(A,c_List_Olist_Olist__case(B,C,c_List_Olist_OCons(D,E,t_b),t_a,t_b)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 49.23/49.36 ** KEPT (pick-wt=15): 121 [] c_List_Olist__all(A,c_List_Olist_OCons(B,C,D),D)| -c_List_Olist__all(A,C,D)| -hBOOL(hAPP(A,B)).
% 49.23/49.36 ** KEPT (pick-wt=16): 122 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=22): 123 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=7): 124 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 49.23/49.36 ** KEPT (pick-wt=19): 125 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=24): 126 [] c_List_Olist__all2(A,c_List_Olist_OCons(B,C,D),c_List_Olist_OCons(E,F,G),D,G)| -c_List_Olist__all2(A,C,F,D,G)| -hBOOL(hAPP(hAPP(A,B),E)).
% 49.23/49.36 Following clause subsumed by 126 during input processing: 0 [] c_List_Olist__all2(A,c_List_Olist_OCons(B,C,D),c_List_Olist_OCons(E,F,G),D,G)| -c_List_Olist__all2(A,C,F,D,G)| -hBOOL(hAPP(hAPP(A,B),E)).
% 49.23/49.36 Following clause subsumed by 126 during input processing: 0 [] c_List_Olist__all2(A,c_List_Olist_OCons(B,C,D),c_List_Olist_OCons(E,F,G),D,G)| -c_List_Olist__all2(A,C,F,D,G)| -hBOOL(hAPP(hAPP(A,B),E)).
% 49.23/49.36 ** KEPT (pick-wt=18): 127 [] c_List_Olist__all2(A,B,C,D,E)| -c_List_Olist__all2(A,c_List_Olist_OCons(F,B,D),c_List_Olist_OCons(G,C,E),D,E).
% 49.23/49.36 ** KEPT (pick-wt=13): 128 [] c_List_Ofilter(A,B,C)!=c_List_Olist_OCons(D,E,C)|hBOOL(hAPP(A,D)).
% 49.23/49.36 ** KEPT (pick-wt=11): 129 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|A=c_List_Olist_ONil(C).
% 49.23/49.36 ** KEPT (pick-wt=11): 130 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 49.23/49.36 ** KEPT (pick-wt=21): 132 [copy,131,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.
% 49.23/49.36 ** KEPT (pick-wt=8): 133 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 49.23/49.36 ** KEPT (pick-wt=9): 134 [] c_List_Odistinct(c_List_Oremove1(A,B,C),C)| -c_List_Odistinct(B,C).
% 49.23/49.36 ** KEPT (pick-wt=13): 135 [] 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.
% 49.23/49.36 ** KEPT (pick-wt=27): 136 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_Nat_Osize__class_Osize(C,tc_List_Olist(D))|c_List_Olist__all2(E,A,C,B,D)| -c_List_Olist__all2(E,c_List_Oappend(A,F,B),c_List_Oappend(C,G,D),B,D).
% 49.23/49.36 ** KEPT (pick-wt=27): 137 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_Nat_Osize__class_Osize(C,tc_List_Olist(D))|c_List_Olist__all2(E,F,G,B,D)| -c_List_Olist__all2(E,c_List_Oappend(A,F,B),c_List_Oappend(C,G,D),B,D).
% 49.23/49.36 ** KEPT (pick-wt=16): 138 [] 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))| -c_Lambda_Obeta(A,C).
% 49.23/49.36 ** KEPT (pick-wt=17): 140 [copy,139,flip.2] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Olistsum(C,A))=c_List_Olistsum(c_List_Olist_OCons(B,C,A),A).
% 49.23/49.36 ** KEPT (pick-wt=23): 141 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=14): 142 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 49.23/49.36 ** KEPT (pick-wt=14): 143 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 49.23/49.36 ** KEPT (pick-wt=18): 144 [] c_List_Olist__all2(A,c_List_Odrop(B,C,D),c_List_Odrop(B,E,F),D,F)| -c_List_Olist__all2(A,C,E,D,F).
% 49.23/49.36 ** KEPT (pick-wt=18): 145 [] 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.
% 49.23/49.36 ** KEPT (pick-wt=18): 146 [] 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.
% 49.23/49.36 ** KEPT (pick-wt=13): 147 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=4): 148 [] -c_Lambda_Obeta(c_Lambda_OdB_OVar(A),B).
% 49.23/49.36 ** KEPT (pick-wt=11): 149 [] A=c_List_Olist_ONil(B)| -c_List_Olist__all2(C,c_List_Olist_ONil(D),A,D,B).
% 49.23/49.36 ** KEPT (pick-wt=11): 150 [] A=c_List_Olist_ONil(B)| -c_List_Olist__all2(C,A,c_List_Olist_ONil(D),B,D).
% 49.23/49.36 ** KEPT (pick-wt=10): 151 [] c_List_Orev(A,B)!=c_List_Orev(C,B)|A=C.
% 49.23/49.36 ** KEPT (pick-wt=25): 152 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=10): 153 [] -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 49.23/49.36 ** KEPT (pick-wt=10): 154 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 49.23/49.36 ** KEPT (pick-wt=9): 155 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Orotate(C,A,B),B).
% 49.23/49.36 ** KEPT (pick-wt=9): 156 [] c_List_Odistinct(c_List_Orotate(A,B,C),C)| -c_List_Odistinct(B,C).
% 49.23/49.36 ** KEPT (pick-wt=11): 157 [] c_List_Oreplicate(A,B,C)!=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.36 ** KEPT (pick-wt=11): 158 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_List_Olistsum(c_List_Orev(B,A),A)=c_List_Olistsum(B,A).
% 49.23/49.36 ** KEPT (pick-wt=11): 159 [] c_List_Olist_ONil(A)!=c_List_Oreplicate(B,C,A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.36 ** KEPT (pick-wt=11): 160 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_List_Olist_ONil(B).
% 49.23/49.36 ** KEPT (pick-wt=10): 161 [] c_List_Olist_ONil(A)!=c_List_Orev(B,A)|B=c_List_Olist_ONil(A).
% 49.23/49.36 ** KEPT (pick-wt=14): 162 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 49.23/49.36 ** KEPT (pick-wt=14): 163 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 49.23/49.36 ** KEPT (pick-wt=11): 164 [] c_List_Orotate(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 49.23/49.36 ** KEPT (pick-wt=10): 165 [] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 49.23/49.36 Following clause subsumed by 165 during input processing: 0 [flip.1] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 49.23/49.36 ** KEPT (pick-wt=10): 166 [] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 49.23/49.36 Following clause subsumed by 166 during input processing: 0 [flip.1] c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 49.23/49.36 ** KEPT (pick-wt=8): 167 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 49.23/49.36 ** KEPT (pick-wt=15): 168 [] c_List_Odrop(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Onth(B,A,C)=D.
% 49.23/49.36 ** KEPT (pick-wt=57): 170 [copy,169,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).
% 49.23/49.36 ** KEPT (pick-wt=18): 171 [] 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.
% 49.23/49.36 ** KEPT (pick-wt=18): 172 [] 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.
% 49.23/49.36 ** KEPT (pick-wt=11): 173 [] c_Type_Otyping(A,B,C)| -c_Lambda_Obeta(D,B)| -c_Type_Otyping(A,D,C).
% 49.23/49.36 ** KEPT (pick-wt=11): 174 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(B,A)| -c_List_Olinorder__class_Osorted(c_List_Oappend(B,C,A),A).
% 49.23/49.36 ** KEPT (pick-wt=11): 175 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(B,A)| -c_List_Olinorder__class_Osorted(c_List_Oappend(C,B,A),A).
% 49.23/49.36 ** KEPT (pick-wt=8): 176 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 49.23/49.36 ** KEPT (pick-wt=8): 177 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 49.23/49.36 ** KEPT (pick-wt=10): 178 [] c_List_Olist__all(A,B,C)| -c_List_Olist__all(A,c_List_Orev(B,C),C).
% 49.23/49.36 ** KEPT (pick-wt=10): 179 [] c_List_Olist__all(A,c_List_Orev(B,C),C)| -c_List_Olist__all(A,B,C).
% 49.23/49.36 ** KEPT (pick-wt=8): 180 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 49.23/49.36 ** KEPT (pick-wt=5): 181 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 49.23/49.36 ** KEPT (pick-wt=24): 182 [] 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)).
% 49.23/49.36 ** KEPT (pick-wt=28): 183 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=21): 184 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Nat_Osemiring__1__class_Oof__nat(B,A)),c_Nat_Osemiring__1__class_Oof__nat(C,A)).
% 49.23/49.36 ** KEPT (pick-wt=17): 185 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 49.23/49.36 ** KEPT (pick-wt=19): 187 [copy,186,flip.2] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_List_Olistsum(B,A)),c_List_Olistsum(C,A))=c_List_Olistsum(c_List_Oappend(B,C,A),A).
% 49.23/49.36 ** KEPT (pick-wt=20): 188 [] 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.
% 49.23/49.36 ** KEPT (pick-wt=20): 189 [] 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.
% 49.23/49.36 ** KEPT (pick-wt=11): 190 [] c_List_Olist__all(A,B,C)| -c_List_Olist__all(A,c_List_Oappend(B,D,C),C).
% 49.23/49.36 ** KEPT (pick-wt=11): 191 [] c_List_Olist__all(A,B,C)| -c_List_Olist__all(A,c_List_Oappend(D,B,C),C).
% 49.23/49.36 ** KEPT (pick-wt=11): 192 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Oremove1(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 49.23/49.36 ** KEPT (pick-wt=16): 193 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=17): 194 [] -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).
% 49.23/49.36 ** KEPT (pick-wt=17): 195 [] A=B|C=D| -c_ListOrder_Ostep1(E,c_List_Olist_OCons(B,D,F),c_List_Olist_OCons(A,C,F),F).
% 49.23/49.36 ** KEPT (pick-wt=19): 197 [copy,196,flip.1] c_List_Olist_OCons(A,c_List_Ofilter(B,C,D),D)=c_List_Ofilter(B,c_List_Olist_OCons(A,C,D),D)| -hBOOL(hAPP(B,A)).
% 49.23/49.36 ** KEPT (pick-wt=13): 198 [] c_List_Olist_OCons(A,B,C)!=c_List_Ofilter(D,E,C)|hBOOL(hAPP(D,A)).
% 49.23/49.36 ** KEPT (pick-wt=17): 199 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,A),A)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(D,c_List_Olist_OCons(B,C,A),A),A).
% 49.23/49.36 ** KEPT (pick-wt=18): 200 [] hBOOL(hAPP(hAPP(A,B),C))| -c_List_Olist__all2(A,c_List_Olist_OCons(B,D,E),c_List_Olist_OCons(C,F,G),E,G).
% 49.23/49.36 ** KEPT (pick-wt=7): 201 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 49.23/49.36 Following clause subsumed by 201 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 49.23/49.36 ** KEPT (pick-wt=20): 202 [] 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).
% 49.23/49.36 ** KEPT (pick-wt=11): 203 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(B,A)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(C,B,A),A).
% 49.23/49.36 ** KEPT (pick-wt=19): 204 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_OtakeWhile(A,C,D),D)| -hBOOL(hAPP(A,B)).
% 49.23/49.36 ** KEPT (pick-wt=11): 205 [] c_List_Olist__all(A,B,C)| -c_List_Olist__all(A,c_List_Olist_OCons(D,B,C),C).
% 49.23/49.36 ** KEPT (pick-wt=11): 206 [] hBOOL(hAPP(A,B))| -c_List_Olist__all(A,c_List_Olist_OCons(B,C,D),D).
% 49.23/49.36 ** KEPT (pick-wt=11): 207 [] c_List_OListMem(A,c_List_Olist_OCons(B,C,D),D)| -c_List_OListMem(A,C,D).
% 49.23/49.36 ** KEPT (pick-wt=9): 208 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Olist_OCons(C,A,B),B).
% 49.23/49.36 ** KEPT (pick-wt=16): 209 [] -class_OrderedGroup_Omonoid__add(A)|c_List_Olistsum(c_List_Omap(c_COMBK(c_HOL_Ozero__class_Ozero(A),A,B),C,B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 49.23/49.36 ** KEPT (pick-wt=28): 211 [copy,210,flip.2] c_List_Omap(A,B,C,D)!=c_List_Olist_OCons(E,F,D)|c_List_Olist_OCons(c_List_Osko__List__Xmap__e_q__Cons__conv__1__1(A,B,E,F,C,D),c_List_Osko__List__Xmap__e_q__Cons__conv__1__2(A,B,E,F,C,D),C)=B.
% 49.23/49.36 ** KEPT (pick-wt=28): 213 [copy,212,flip.2] c_List_Olist_OCons(A,B,C)!=c_List_Omap(D,E,F,C)|c_List_Olist_OCons(c_List_Osko__List__XCons__e_q__map__conv__1__1(D,A,B,E,F,C),c_List_Osko__List__XCons__e_q__map__conv__1__2(D,A,B,E,F,C),F)=E.
% 49.23/49.36 ** KEPT (pick-wt=28): 215 [copy,214,flip.2] c_List_Omap(A,B,C,D)!=c_List_Olist_OCons(E,F,D)|c_List_Olist_OCons(c_List_Osko__List__Xmap__e_q__Cons__D__1__1(A,B,E,F,C,D),c_List_Osko__List__Xmap__e_q__Cons__D__1__2(A,B,E,F,C,D),C)=B.
% 49.23/49.36 ** KEPT (pick-wt=28): 217 [copy,216,flip.2] c_List_Olist_OCons(A,B,C)!=c_List_Omap(D,E,F,C)|c_List_Olist_OCons(c_List_Osko__List__XCons__e_q__map__D__1__1(D,A,B,E,F,C),c_List_Osko__List__XCons__e_q__map__D__1__2(D,A,B,E,F,C),F)=E.
% 49.23/49.37 ** KEPT (pick-wt=12): 218 [] c_List_Omap(A,B,C,D)!=c_List_Olist_ONil(D)|B=c_List_Olist_ONil(C).
% 49.23/49.37 ** KEPT (pick-wt=18): 219 [] 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.
% 49.23/49.37 ** KEPT (pick-wt=10): 220 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Omap(C,A,B,D),D).
% 49.23/49.37 ** KEPT (pick-wt=20): 221 [] 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)).
% 49.23/49.37 ** KEPT (pick-wt=12): 222 [] c_List_Olist_ONil(A)!=c_List_Omap(B,C,D,A)|C=c_List_Olist_ONil(D).
% 49.23/49.37 ** KEPT (pick-wt=28): 223 [] 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).
% 49.23/49.37 ** KEPT (pick-wt=28): 224 [] 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).
% 49.23/49.37 ** KEPT (pick-wt=28): 225 [] 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).
% 49.23/49.37 ** KEPT (pick-wt=34): 226 [] 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))).
% 49.23/49.37 ** KEPT (pick-wt=18): 227 [] c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),C),hAPP(hAPP(hAPP(c_Lambda_Osubst,D),B),C))| -c_Lambda_Obeta(A,D).
% 49.23/49.37 ** KEPT (pick-wt=9): 228 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 49.23/49.37 ** KEPT (pick-wt=15): 229 [] c_List_Olistsp(A,c_List_Oappend(B,C,D),D)| -c_List_Olistsp(A,C,D)| -c_List_Olistsp(A,B,D).
% 49.23/49.37 ** KEPT (pick-wt=11): 230 [] c_List_Olistsp(A,B,C)| -hBOOL(hAPP(A,c_List_Osko__List__Xin__listsp__conv__set__1__1(A,B,C))).
% 49.23/49.37 ** KEPT (pick-wt=17): 231 [] c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,C)| -c_List_Olistsp(B,D,C)| -c_List_Olistsp(A,D,C).
% 49.23/49.37 ** KEPT (pick-wt=11): 232 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(D,B,C),C).
% 49.23/49.37 ** KEPT (pick-wt=11): 233 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(B,D,C),C).
% 49.23/49.37 ** KEPT (pick-wt=14): 234 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,A),B),hAPP(hAPP(c_Lambda_Olift,C),B))| -c_Lambda_Obeta(A,C).
% 49.23/49.37 ** KEPT (pick-wt=26): 235 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),A),B)))| -c_Type_Otyping(C,A,v_T____)| -hBOOL(hAPP(c_InductTermi_OIT,A))| -c_Type_Otyping(c_Type_Oshift(C,B,v_T____,tc_Type_Otype),v_b____,D).
% 49.23/49.37 Following clause subsumed by 235 during input processing: 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),A),B)))| -c_Type_Otyping(C,A,v_T____)| -hBOOL(hAPP(c_InductTermi_OIT,A))| -c_Type_Otyping(c_Type_Oshift(C,B,v_T____,tc_Type_Otype),v_b____,D).
% 49.23/49.37 ** KEPT (pick-wt=20): 236 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.37 ** KEPT (pick-wt=16): 237 [] -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.37 ** KEPT (pick-wt=16): 238 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,c_HOL_Ozero__class_Ozero(tc_nat),A)!=c_HOL_Ozero__class_Ozero(A).
% 49.23/49.37 ** KEPT (pick-wt=9): 239 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Ozero__class_Ozero(A).
% 49.23/49.37 ** KEPT (pick-wt=32): 240 [] c_Type_Otypings(A,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,B,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),C,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),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).
% 49.23/49.37 ** KEPT (pick-wt=23): 241 [] c_List_Omap(A,B,C,D)!=c_List_Olist_OCons(E,F,D)|c_List_Omap(A,c_List_Osko__List__Xmap__e_q__Cons__D__1__2(A,B,E,F,C,D),C,D)=F.
% 49.23/49.37 ** KEPT (pick-wt=23): 243 [copy,242,flip.2] c_List_Olist_OCons(A,B,C)!=c_List_Omap(D,E,F,C)|c_List_Omap(D,c_List_Osko__List__XCons__e_q__map__conv__1__2(D,A,B,E,F,C),F,C)=B.
% 49.23/49.37 ** KEPT (pick-wt=21): 244 [] c_List_Omap(A,B,C,D)!=c_List_Olist_OCons(E,F,D)|hAPP(A,c_List_Osko__List__Xmap__e_q__Cons__D__1__1(A,B,E,F,C,D))=E.
% 49.23/49.37 ** KEPT (pick-wt=21): 245 [] c_List_Omap(A,B,C,D)!=c_List_Olist_OCons(E,F,D)|hAPP(A,c_List_Osko__List__Xmap__e_q__Cons__conv__1__1(A,B,E,F,C,D))=E.
% 49.23/49.37 ** KEPT (pick-wt=23): 246 [] c_List_Omap(A,B,C,D)!=c_List_Olist_OCons(E,F,D)|c_List_Omap(A,c_List_Osko__List__Xmap__e_q__Cons__conv__1__2(A,B,E,F,C,D),C,D)=F.
% 49.23/49.37 ** KEPT (pick-wt=21): 248 [copy,247,flip.2] c_List_Olist_OCons(A,B,C)!=c_List_Omap(D,E,F,C)|hAPP(D,c_List_Osko__List__XCons__e_q__map__conv__1__1(D,A,B,E,F,C))=A.
% 49.23/49.37 ** KEPT (pick-wt=21): 250 [copy,249,flip.2] c_List_Olist_OCons(A,B,C)!=c_List_Omap(D,E,F,C)|hAPP(D,c_List_Osko__List__XCons__e_q__map__D__1__1(D,A,B,E,F,C))=A.
% 49.23/49.37 ** KEPT (pick-wt=23): 252 [copy,251,flip.2] c_List_Olist_OCons(A,B,C)!=c_List_Omap(D,E,F,C)|c_List_Omap(D,c_List_Osko__List__XCons__e_q__map__D__1__2(D,A,B,E,F,C),F,C)=B.
% 49.23/49.37 ** KEPT (pick-wt=21): 253 [] c_Type_Otypings(c_Type_Oshift(A,B,C,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,B,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),D,tc_Lambda_OdB,tc_Lambda_OdB),E)| -c_Type_Otypings(A,D,E).
% 49.23/49.37 ** KEPT (pick-wt=15): 254 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),c_Lambda_OdB_OVar(B)),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 49.23/49.37 ** KEPT (pick-wt=18): 255 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),A,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)| -c_List_Olistsp(c_InductTermi_OIT,A,tc_Lambda_OdB).
% 49.23/49.37 ** KEPT (pick-wt=12): 256 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 49.23/49.37 ** KEPT (pick-wt=12): 257 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 49.23/49.37 ** KEPT (pick-wt=12): 258 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,A),B)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 49.23/49.37 ** KEPT (pick-wt=6): 259 [] c_List_Olist_OCons(A,B,C)!=B.
% 49.23/49.37 Following clause subsumed by 259 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 49.23/49.37 ** KEPT (pick-wt=44): 260 [] -c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB).
% 49.23/49.37 ** KEPT (pick-wt=6): 261 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 49.23/49.37 ** KEPT (pick-wt=6): 262 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 49.23/49.37 ** KEPT (pick-wt=10): 263 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 49.23/49.37 5 back subsumes 4.
% 49.23/49.37 5 back subsumes 3.
% 49.23/49.37 Following clause subsumed by 181 during input processing: 0 [copy,51,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 49.23/49.37 ** KEPT (pick-wt=15): 265 [copy,59,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).
% 49.23/49.37 ** KEPT (pick-wt=14): 267 [copy,89,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).
% 49.23/49.37 Following clause subsumed by 133 during input processing: 0 [copy,93,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 49.23/49.37 Following clause subsumed by 201 during input processing: 0 [copy,124,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 49.23/49.37 Following clause subsumed by 93 during input processing: 0 [copy,133,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 49.23/49.37 153 back subsumes 114.
% 49.23/49.37 Following clause subsumed by 180 during input processing: 0 [copy,176,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 49.23/49.37 Following clause subsumed by 176 during input processing: 0 [copy,180,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 49.23/49.37 Following clause subsumed by 51 during input processing: 0 [copy,181,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 49.23/49.37 Following clause subsumed by 124 during input processing: 0 [copy,201,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 49.23/49.37 203 back subsumes 199.
% 49.23/49.37 Following clause subsumed by 59 during input processing: 0 [copy,265,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).
% 49.23/49.37 Following clause subsumed by 89 during input processing: 0 [copy,267,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).
% 49.23/49.37
% 49.23/49.37 ------------> process sos:
% 49.23/49.37 ** KEPT (pick-wt=3): 276 [] A=A.
% 49.23/49.37 ** KEPT (pick-wt=12): 278 [copy,277,flip.1] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 49.23/49.37 ---> New Demodulator: 279 [new_demod,278] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 49.23/49.37 ** KEPT (pick-wt=8): 280 [] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ---> New Demodulator: 281 [new_demod,280] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ** KEPT (pick-wt=7): 282 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)).
% 49.23/49.37 ** KEPT (pick-wt=13): 283 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 49.23/49.37 ** KEPT (pick-wt=13): 284 [] 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).
% 49.23/49.37 ---> New Demodulator: 285 [new_demod,284] 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).
% 49.23/49.37 ** KEPT (pick-wt=17): 286 [] 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).
% 49.23/49.37 ** KEPT (pick-wt=8): 287 [] hAPP(c_COMBK(A,B,C),D)=A.
% 49.23/49.37 ---> New Demodulator: 288 [new_demod,287] hAPP(c_COMBK(A,B,C),D)=A.
% 49.23/49.37 ** KEPT (pick-wt=16): 289 [] c_List_Onth(c_List_Olist__update(A,B,C,D),E,D)=c_List_Onth(A,E,D)|B=E.
% 49.23/49.37 ** KEPT (pick-wt=20): 291 [copy,290,flip.1] c_List_Odrop(A,c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),C,D),D)=c_List_Otake(B,c_List_Odrop(A,C,D),D).
% 49.23/49.37 ---> New Demodulator: 292 [new_demod,291] c_List_Odrop(A,c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),C,D),D)=c_List_Otake(B,c_List_Odrop(A,C,D),D).
% 49.23/49.37 ** KEPT (pick-wt=23): 293 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 49.23/49.37 ---> New Demodulator: 294 [new_demod,293] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 49.23/49.37 ** KEPT (pick-wt=23): 295 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 49.23/49.37 ** KEPT (pick-wt=14): 296 [] 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).
% 49.23/49.37 ** KEPT (pick-wt=14): 297 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,B)).
% 49.23/49.37 ** KEPT (pick-wt=5): 298 [] c_List_Olist__all(A,c_List_Olist_ONil(B),B).
% 49.23/49.37 ** KEPT (pick-wt=15): 299 [] 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.
% 49.23/49.37 ---> New Demodulator: 300 [new_demod,299] 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.
% 49.23/49.37 ** KEPT (pick-wt=8): 301 [] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ---> New Demodulator: 302 [new_demod,301] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ** KEPT (pick-wt=15): 304 [copy,303,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),B,C)=c_List_OtakeWhile(A,B,C).
% 49.23/49.37 ---> New Demodulator: 305 [new_demod,304] c_List_Otake(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),B,C)=c_List_OtakeWhile(A,B,C).
% 49.23/49.37 ** KEPT (pick-wt=7): 306 [] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 49.23/49.37 ---> New Demodulator: 307 [new_demod,306] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 49.23/49.37 ** KEPT (pick-wt=7): 309 [copy,308,flip.1] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 49.23/49.37 ---> New Demodulator: 310 [new_demod,309] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,307] A=A.
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,310] B=B.
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,310] A=A.
% 49.23/49.37 ** KEPT (pick-wt=7): 312 [copy,311,flip.1] c_List_Orev(c_List_Orev(A,B),B)=A.
% 49.23/49.37 ---> New Demodulator: 313 [new_demod,312] c_List_Orev(c_List_Orev(A,B),B)=A.
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,313] A=A.
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,313] A=A.
% 49.23/49.37 ** KEPT (pick-wt=12): 315 [copy,314,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 49.23/49.37 ---> New Demodulator: 316 [new_demod,315] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 49.23/49.37 ** KEPT (pick-wt=17): 318 [copy,317,flip.1] c_Lambda_OdB_OAbs(c_Lambda_Osubstn(A,B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),c_HOL_Oone__class_Oone(tc_nat))))=c_Lambda_Osubstn(c_Lambda_OdB_OAbs(A),B,C).
% 49.23/49.37 ---> New Demodulator: 319 [new_demod,318] c_Lambda_OdB_OAbs(c_Lambda_Osubstn(A,B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),c_HOL_Oone__class_Oone(tc_nat))))=c_Lambda_Osubstn(c_Lambda_OdB_OAbs(A),B,C).
% 49.23/49.37 ** KEPT (pick-wt=13): 320 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 49.23/49.37 ** KEPT (pick-wt=11): 321 [] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 49.23/49.37 ---> New Demodulator: 322 [new_demod,321] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 49.23/49.37 ** KEPT (pick-wt=8): 323 [] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ---> New Demodulator: 324 [new_demod,323] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ** KEPT (pick-wt=14): 325 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 49.23/49.37 ---> New Demodulator: 326 [new_demod,325] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,326] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 49.23/49.37 ** KEPT (pick-wt=9): 327 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 49.23/49.37 ---> New Demodulator: 328 [new_demod,327] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 49.23/49.37 ** KEPT (pick-wt=9): 329 [] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 49.23/49.37 ---> New Demodulator: 330 [new_demod,329] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 49.23/49.37 ** KEPT (pick-wt=23): 331 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 49.23/49.37 ---> New Demodulator: 332 [new_demod,331] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 49.23/49.37 ** KEPT (pick-wt=23): 333 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 49.23/49.37 ** KEPT (pick-wt=16): 335 [copy,334,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).
% 49.23/49.37 ---> New Demodulator: 336 [new_demod,335] 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).
% 49.23/49.37 ** KEPT (pick-wt=9): 337 [] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 49.23/49.37 ---> New Demodulator: 338 [new_demod,337] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,338] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,338] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 49.23/49.37 ** KEPT (pick-wt=10): 339 [] c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=B.
% 49.23/49.37 ---> New Demodulator: 340 [new_demod,339] c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=B.
% 49.23/49.37 ** KEPT (pick-wt=12): 341 [] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 49.23/49.37 ---> New Demodulator: 342 [new_demod,341] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 49.23/49.37 ** KEPT (pick-wt=8): 343 [] c_List_Oremove1(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ---> New Demodulator: 344 [new_demod,343] c_List_Oremove1(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ** KEPT (pick-wt=17): 345 [] 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).
% 49.23/49.37 ---> New Demodulator: 346 [new_demod,345] 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).
% 49.23/49.37 ** KEPT (pick-wt=20): 348 [copy,347,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(A,B,C)),c_Lambda_Oliftn(A,D,C))=c_Lambda_Oliftn(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),D),C).
% 49.23/49.37 ---> New Demodulator: 349 [new_demod,348] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(A,B,C)),c_Lambda_Oliftn(A,D,C))=c_Lambda_Oliftn(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),D),C).
% 49.23/49.37 ** KEPT (pick-wt=8): 350 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 49.23/49.37 ** KEPT (pick-wt=9): 351 [] c_List_Olist_Olist__case(A,B,c_List_Olist_ONil(C),D,C)=A.
% 49.23/49.37 ---> New Demodulator: 352 [new_demod,351] c_List_Olist_Olist__case(A,B,c_List_Olist_ONil(C),D,C)=A.
% 49.23/49.37 ** KEPT (pick-wt=8): 353 [] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ---> New Demodulator: 354 [new_demod,353] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ** KEPT (pick-wt=13): 355 [] 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)).
% 49.23/49.37 ---> New Demodulator: 356 [new_demod,355] 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)).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,310] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,285] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,307] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 49.23/49.37 ** KEPT (pick-wt=19): 357 [] 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).
% 49.23/49.37 ** KEPT (pick-wt=7): 358 [] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 49.23/49.37 ---> New Demodulator: 359 [new_demod,358] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 49.23/49.37 ** KEPT (pick-wt=20): 361 [copy,360,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(A,B,C)),c_Lambda_Osubstn(D,B,C))=c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 49.23/49.37 ---> New Demodulator: 362 [new_demod,361] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(A,B,C)),c_Lambda_Osubstn(D,B,C))=c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 49.23/49.37 ** KEPT (pick-wt=15): 363 [] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 49.23/49.37 ---> New Demodulator: 364 [new_demod,363] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 49.23/49.37 ** KEPT (pick-wt=21): 365 [] 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).
% 49.23/49.37 ** KEPT (pick-wt=17): 367 [copy,366,flip.1] c_List_Orotate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Orotate(A,c_List_Orotate(B,C,D),D).
% 49.23/49.37 ---> New Demodulator: 368 [new_demod,367] c_List_Orotate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Orotate(A,c_List_Orotate(B,C,D),D).
% 49.23/49.37 ** KEPT (pick-wt=18): 369 [] c_List_Ofilter(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Ofilter(A,B,D),c_List_Ofilter(A,C,D),D).
% 49.23/49.37 ---> New Demodulator: 370 [new_demod,369] c_List_Ofilter(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Ofilter(A,B,D),c_List_Ofilter(A,C,D),D).
% 49.23/49.37 ** KEPT (pick-wt=7): 371 [] c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 49.23/49.37 ---> New Demodulator: 372 [new_demod,371] c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 49.23/49.37 ** KEPT (pick-wt=11): 373 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.37 ---> New Demodulator: 374 [new_demod,373] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.37 ** KEPT (pick-wt=7): 375 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 49.23/49.37 ---> New Demodulator: 376 [new_demod,375] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 49.23/49.37 ** KEPT (pick-wt=11): 377 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 49.23/49.37 ** KEPT (pick-wt=9): 379 [copy,378,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=A.
% 49.23/49.37 ---> New Demodulator: 380 [new_demod,379] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=A.
% 49.23/49.37 ** KEPT (pick-wt=9): 381 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=A.
% 49.23/49.37 ---> New Demodulator: 382 [new_demod,381] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=A.
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,380] A=A.
% 49.23/49.37 ** KEPT (pick-wt=11): 383 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_ONil(C).
% 49.23/49.37 ** KEPT (pick-wt=16): 384 [] c_List_Ofilter(A,c_List_Olist_OCons(B,C,D),D)=c_List_Ofilter(A,C,D)|hBOOL(hAPP(A,B)).
% 49.23/49.37 ** KEPT (pick-wt=18): 385 [] c_List_Oremove1(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Oremove1(A,C,D),D)|A=B.
% 49.23/49.37 ** KEPT (pick-wt=7): 386 [] c_List_OListMem(A,c_List_Olist_OCons(A,B,C),C).
% 49.23/49.37 ** KEPT (pick-wt=8): 387 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.37 ---> New Demodulator: 388 [new_demod,387] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 49.23/49.37 ** KEPT (pick-wt=12): 389 [] 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)).
% 49.23/49.37 ---> New Demodulator: 390 [new_demod,389] 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)).
% 49.23/49.37 ** KEPT (pick-wt=19): 391 [] c_List_OtakeWhile(A,c_List_Oappend(B,c_List_Olist_OCons(C,D,E),E),E)=c_List_OtakeWhile(A,B,E)|hBOOL(hAPP(A,C)).
% 49.23/49.37 ** KEPT (pick-wt=8): 392 [] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 49.23/49.37 ** KEPT (pick-wt=15): 393 [] 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))).
% 49.23/49.37 ** KEPT (pick-wt=20): 395 [copy,394,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(B))),c_Nat_Osize__class_Osize(C,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Oappend(A,C,B),tc_List_Olist(B)).
% 49.23/49.37 ---> New Demodulator: 396 [new_demod,395] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(B))),c_Nat_Osize__class_Osize(C,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Oappend(A,C,B),tc_List_Olist(B)).
% 49.23/49.37 ** KEPT (pick-wt=17): 398 [copy,397,flip.1] c_Lambda_OdB_OAbs(c_Lambda_Oliftn(A,B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),c_HOL_Oone__class_Oone(tc_nat))))=c_Lambda_Oliftn(A,c_Lambda_OdB_OAbs(B),C).
% 49.23/49.37 ---> New Demodulator: 399 [new_demod,398] c_Lambda_OdB_OAbs(c_Lambda_Oliftn(A,B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),c_HOL_Oone__class_Oone(tc_nat))))=c_Lambda_Oliftn(A,c_Lambda_OdB_OAbs(B),C).
% 49.23/49.37 ** KEPT (pick-wt=21): 400 [] 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).
% 49.23/49.37 ** KEPT (pick-wt=4): 401 [] c_List_Odistinct(c_List_Olist_ONil(A),A).
% 49.23/49.37 ** KEPT (pick-wt=16): 402 [] c_List_Oremove1(A,c_List_Ofilter(B,C,D),D)=c_List_Ofilter(B,C,D)|hBOOL(hAPP(B,A)).
% 49.23/49.37 ** KEPT (pick-wt=14): 403 [] c_List_Ofilter(A,c_List_Oreplicate(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,C)).
% 49.23/49.37 ** KEPT (pick-wt=17): 405 [copy,404,flip.1] c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Odrop(A,c_List_Odrop(B,C,D),D).
% 49.23/49.37 ---> New Demodulator: 406 [new_demod,405] c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Odrop(A,c_List_Odrop(B,C,D),D).
% 49.23/49.37 ** KEPT (pick-wt=20): 407 [] c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Oappend(c_List_Oreplicate(A,C,D),c_List_Oreplicate(B,C,D),D).
% 49.23/49.37 ---> New Demodulator: 408 [new_demod,407] c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Oappend(c_List_Oreplicate(A,C,D),c_List_Oreplicate(B,C,D),D).
% 49.23/49.37 ** KEPT (pick-wt=8): 409 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 49.23/49.37 ** KEPT (pick-wt=23): 411 [copy,410,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).
% 49.23/49.37 ---> New Demodulator: 412 [new_demod,411] 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).
% 49.23/49.37 ** KEPT (pick-wt=9): 413 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 49.23/49.37 ---> New Demodulator: 414 [new_demod,413] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 49.23/49.37 ** KEPT (pick-wt=10): 415 [] c_List_Olist__update(A,B,c_List_Onth(A,B,C),C)=A.
% 49.23/49.37 ---> New Demodulator: 416 [new_demod,415] c_List_Olist__update(A,B,c_List_Onth(A,B,C),C)=A.
% 49.23/49.37 ** KEPT (pick-wt=18): 417 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 49.23/49.37 ---> New Demodulator: 418 [new_demod,417] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 49.23/49.37 ** KEPT (pick-wt=22): 419 [] 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).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,310] c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 49.23/49.37 ** KEPT (pick-wt=8): 420 [] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ---> New Demodulator: 421 [new_demod,420] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 49.23/49.37 ** KEPT (pick-wt=8): 422 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 49.23/49.37 ---> New Demodulator: 423 [new_demod,422] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 49.23/49.37 ** KEPT (pick-wt=22): 424 [] 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.
% 49.23/49.37 ** KEPT (pick-wt=21): 426 [copy,425,flip.1] c_List_Olist_OCons(A,c_List_Oappend(c_List_Oreplicate(B,A,C),D,C),C)=c_List_Oappend(c_List_Oreplicate(B,A,C),c_List_Olist_OCons(A,D,C),C).
% 49.23/49.37 ---> New Demodulator: 427 [new_demod,426] c_List_Olist_OCons(A,c_List_Oappend(c_List_Oreplicate(B,A,C),D,C),C)=c_List_Oappend(c_List_Oreplicate(B,A,C),c_List_Olist_OCons(A,D,C),C).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,359] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 49.23/49.37 ** KEPT (pick-wt=11): 428 [] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 49.23/49.37 ---> New Demodulator: 429 [new_demod,428] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 49.23/49.37 ** KEPT (pick-wt=20): 430 [] c_List_Onth(c_List_Oappend(A,B,C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(C))),D),C)=c_List_Onth(B,D,C).
% 49.23/49.37 ---> New Demodulator: 431 [new_demod,430] c_List_Onth(c_List_Oappend(A,B,C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(C))),D),C)=c_List_Onth(B,D,C).
% 49.23/49.37 ** KEPT (pick-wt=8): 432 [] c_List_Olist__all2(A,c_List_Olist_ONil(B),c_List_Olist_ONil(C),B,C).
% 49.23/49.37 ** KEPT (pick-wt=13): 433 [] c_List_Orev(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Orev(B,C),C).
% 49.23/49.37 ---> New Demodulator: 434 [new_demod,433] c_List_Orev(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Orev(B,C),C).
% 49.23/49.37 ** KEPT (pick-wt=7): 435 [] c_List_Olist__all2(c_fe_qual(A),B,B,A,A).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,307] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 49.23/49.37 ** KEPT (pick-wt=19): 437 [copy,436,flip.1] c_Lambda_OdB_OAbs(hAPP(hAPP(c_Lambda_Olift,A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OAbs(A)),B).
% 49.23/49.37 ---> New Demodulator: 438 [new_demod,437] c_Lambda_OdB_OAbs(hAPP(hAPP(c_Lambda_Olift,A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OAbs(A)),B).
% 49.23/49.37 ** KEPT (pick-wt=15): 439 [] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 49.23/49.37 ---> New Demodulator: 440 [new_demod,439] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 49.23/49.37 ** KEPT (pick-wt=15): 441 [] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 49.23/49.37 ---> New Demodulator: 442 [new_demod,441] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,442] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,442] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,442] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 49.23/49.37 ** KEPT (pick-wt=20): 443 [] 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).
% 49.23/49.37 ** KEPT (pick-wt=15): 445 [copy,444,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).
% 49.23/49.37 ---> New Demodulator: 446 [new_demod,445] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,446] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 49.23/49.37 ** KEPT (pick-wt=15): 447 [] c_List_Olist_Olist__case(A,B,c_List_Olist_OCons(C,D,E),F,E)=hAPP(hAPP(B,C),D).
% 49.23/49.37 ** KEPT (pick-wt=9): 448 [] c_List_Oremove1(A,c_List_Olist_OCons(A,B,C),C)=B.
% 49.23/49.37 ---> New Demodulator: 449 [new_demod,448] c_List_Oremove1(A,c_List_Olist_OCons(A,B,C),C)=B.
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,446] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 49.23/49.37 Following clause subsumed by 276 during input processing: 0 [demod,446] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 49.23/49.37 ** KEPT (pick-wt=16): 451 [copy,450,flip.1] hAPP(hAPP(hAPP(c_Lambda_Osubst,A),c_Lambda_Oliftn(B,C,c_HOL_Ozero__class_Ozero(tc_nat))),B)=c_Lambda_Osubstn(A,C,B).
% 49.23/49.37 ---> New Demodulator: 452 [new_demod,451] hAPP(hAPP(hAPP(c_Lambda_Osubst,A),c_Lambda_Oliftn(B,C,c_HOL_Ozero__class_Ozero(tc_nat))),B)=c_Lambda_Osubstn(A,C,B).
% 49.23/49.37 ** KEPT (pick-wt=17): 453 [] c_List_Odrop(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Odrop(A,C,D),D,E).
% 49.23/49.37 ---> New Demodulator: 454 [new_demod,453] c_List_Odrop(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Odrop(A,C,D),D,E).
% 49.23/49.37 ** KEPT (pick-wt=21): 456 [copy,455,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).
% 49.23/49.37 ---> New Demodulator: 457 [new_demod,456] 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).
% 49.23/49.37 ** KEPT (pick-wt=15): 458 [] c_List_Omap(A,c_List_Oreplicate(B,C,D),D,E)=c_List_Oreplicate(B,hAPP(A,C),E).
% 49.23/49.37 ** KEPT (pick-wt=13): 459 [] 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)).
% 49.23/49.37 ** KEPT (pick-wt=17): 460 [] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 49.23/49.37 ---> New Demodulator: 461 [new_demod,460] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 49.23/49.37 ** KEPT (pick-wt=15): 462 [] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 49.23/49.37 ---> New Demodulator: 463 [new_demod,462] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 49.23/49.37 ** KEPT (pick-wt=17): 464 [] c_List_Otake(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Otake(A,C,D),D,E).
% 49.23/49.37 ---> New Demodulator: 465 [new_demod,464] c_List_Otake(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Otake(A,C,D),D,E).
% 49.23/49.37 ** KEPT (pick-wt=9): 466 [] c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 49.23/49.37 ** KEPT (pick-wt=20): 468 [copy,467,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).
% 49.23/49.38 ---> New Demodulator: 469 [new_demod,468] 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).
% 49.23/49.38 ** KEPT (pick-wt=21): 470 [] 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).
% 49.23/49.38 ** KEPT (pick-wt=9): 471 [] c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 49.23/49.38 ** KEPT (pick-wt=29): 472 [] 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)).
% 49.23/49.38 ** KEPT (pick-wt=10): 473 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),A)=B.
% 49.23/49.38 ---> New Demodulator: 474 [new_demod,473] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),A)=B.
% 49.23/49.38 ** KEPT (pick-wt=28): 476 [copy,475,flip.1] c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,A),hAPP(hAPP(c_Lambda_Olift,B),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(A)),B),C).
% 49.23/49.38 ---> New Demodulator: 477 [new_demod,476] c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,A),hAPP(hAPP(c_Lambda_Olift,B),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(A)),B),C).
% 49.23/49.38 ** KEPT (pick-wt=5): 478 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 49.23/49.38 ** KEPT (pick-wt=4): 479 [] hBOOL(hAPP(c_InductTermi_OIT,v_ua______)).
% 49.23/49.38 ** KEPT (pick-wt=5): 480 [] c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 49.23/49.38 ** KEPT (pick-wt=23): 481 [] 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)).
% 49.23/49.38 ** KEPT (pick-wt=3): 482 [] v_n____=v_i____.
% 49.23/49.38 ---> New Demodulator: 483 [new_demod,482] v_n____=v_i____.
% 49.23/49.38 ** KEPT (pick-wt=10): 484 [] c_List_Onth(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),C)=A.
% 49.23/49.38 ---> New Demodulator: 485 [new_demod,484] c_List_Onth(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),C)=A.
% 49.23/49.38 Following clause subsumed by 276 during input processing: 0 [demod,376] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 49.23/49.38 ** KEPT (pick-wt=14): 486 [] 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).
% 49.23/49.38 ** KEPT (pick-wt=14): 488 [copy,487,flip.1] hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),c_HOL_Ozero__class_Ozero(tc_nat))=c_Lambda_Osubstn(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 49.23/49.38 ---> New Demodulator: 489 [new_demod,488] hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),c_HOL_Ozero__class_Ozero(tc_nat))=c_Lambda_Osubstn(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 49.23/49.38 ** KEPT (pick-wt=30): 490 [] 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(c_COMBC(c_Lambda_Olift,C,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 49.23/49.38 ---> New Demodulator: 491 [new_demod,490] 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(c_COMBC(c_Lambda_Olift,C,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 49.23/49.38 ** KEPT (pick-wt=41): 492 [] 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(c_COMBC(c_COMBC(c_Lambda_Osubst,C,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),D,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 49.23/49.38 ** KEPT (pick-wt=14): 493 [] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 49.23/49.38 ** KEPT (pick-wt=30): 494 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 49.23/49.38 ** KEPT (pick-wt=19): 496 [copy,495,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).
% 49.23/49.38 ---> New Demodulator: 497 [new_demod,496] 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).
% 49.23/49.38 Following clause subsumed by 276 during input processing: 0 [demod,497] 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).
% 49.23/49.38 Following clause subsumed by 276 during input processing: 0 [demod,497] 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).
% 49.23/49.38 ** KEPT (pick-wt=4): 498 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 49.23/49.38 ** KEPT (pick-wt=13): 499 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,A),B)),C),B)=A.
% 49.23/49.38 ---> New Demodulator: 500 [new_demod,499] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,A),B)),C),B)=A.
% 49.23/49.38 ** KEPT (pick-wt=15): 501 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)))).
% 49.23/49.38 ** KEPT (pick-wt=2): 502 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 503 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 504 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 505 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 506 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 507 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 508 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 509 [] class_OrderedGroup_Osemigroup__add(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 510 [] class_Lattices_Olower__semilattice(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 511 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 512 [] class_Ring__and__Field_Osemiring__0(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 513 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 514 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 515 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 516 [] class_Nat_Osemiring__char__0(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 517 [] class_Orderings_Olinorder(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 518 [] class_Lattices_Olattice(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 519 [] class_Power_Opower(tc_nat).
% 49.23/49.38 ** KEPT (pick-wt=2): 520 [] class_Lattices_Olower__semilattice(tc_bool).
% 49.23/49.38 ** KEPT (pick-wt=2): 521 [] class_Lattices_Olattice(tc_bool).
% 49.23/49.38 Following clause subsumed by 493 during input processing: 0 [] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 49.23/49.38 ** KEPT (pick-wt=13): 522 [] c_COMBB(A,B,C,D,E,F)=hAPP(A,hAPP(B,C)).
% 49.23/49.38 ** KEPT (pick-wt=7): 523 [] hBOOL(hAPP(hAPP(c_fe_qual(A),B),B)).
% 49.23/49.38 Following clause subsumed by 276 during input processing: 0 [copy,276,flip.1] A=A.
% 49.23/49.38 276 back subsumes 269.
% 49.23/49.38 >>>> Starting back demodulation with 279.
% 49.23/49.38 >>>> Starting back demodulation with 281.
% 49.23/49.38 Following clause subsumed by 283 during input processing: 0 [copy,283,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 49.23/49.38 >>>> Starting back demodulation with 285.
% 49.23/49.38 ** KEPT (pick-wt=17): 524 [copy,286,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).
% 49.23/49.38 >>>> Starting back demodulation with 288.
% 49.23/49.38 >>>> Starting back demodulation with 292.
% 49.23/49.38 >>>> Starting back demodulation with 294.
% 49.23/49.38 Following clause subsumed by 295 during input processing: 0 [copy,295,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 49.23/49.38 ** KEPT (pick-wt=14): 525 [copy,296,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).
% 49.23/49.38 >>>> Starting back demodulation with 300.
% 49.23/49.38 >>>> Starting back demodulation with 302.
% 49.23/49.38 >>>> Starting back demodulation with 305.
% 49.23/49.38 >>>> Starting back demodulation with 307.
% 49.23/49.38 >>>> Starting back demodulation with 310.
% 49.23/49.38 >>>> Starting back demodulation with 313.
% 49.23/49.38 >>>> Starting back demodulation with 316.
% 49.23/49.38 >>>> Starting back demodulation with 319.
% 49.23/49.38 Following clause subsumed by 320 during input processing: 0 [copy,320,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 49.23/49.38 >>>> Starting back demodulation with 322.
% 49.23/49.38 >>>> Starting back demodulation with 324.
% 49.23/49.38 >>>> Starting back demodulation with 326.
% 49.23/49.38 >> back demodulating 183 with 326.
% 49.23/49.38 >>>> Starting back demodulation with 328.
% 49.23/49.38 >>>> Starting back demodulation with 330.
% 49.23/49.38 >>>> Starting back demodulation with 332.
% 49.23/49.38 Following clause subsumed by 333 during input processing: 0 [copy,333,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 49.23/49.38 >>>> Starting back demodulation with 336.
% 49.23/49.38 >>>> Starting back demodulation with 338.
% 49.23/49.38 >>>> Starting back demodulation with 340.
% 49.23/49.38 >>>> Starting back demodulation with 342.
% 49.23/49.38 >>>> Starting back demodulation with 344.
% 49.23/49.38 >>>> Starting back demodulation with 346.
% 49.23/49.38 >>>> Starting back demodulation with 349.
% 49.23/49.38 Following clause subsumed by 392 during input processing: 0 [copy,350,flip.1] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 49.23/49.38 >>>> Starting back demodulation with 352.
% 49.23/49.38 >> back demodulating 31 with 352.
% 49.23/49.38 >>>> Starting back demodulation with 354.
% 49.23/49.38 >>>> Starting back demodulation with 356.
% 49.23/49.38 ** KEPT (pick-wt=19): 526 [copy,357,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).
% 49.23/49.38 >>>> Starting back demodulation with 359.
% 49.23/49.38 >>>> Starting back demodulation with 362.
% 49.23/49.38 >>>> Starting back demodulation with 364.
% 49.23/49.38 >> back demodulating 345 with 364.
% 49.23/49.38 ** KEPT (pick-wt=21): 528 [copy,365,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).
% 49.23/49.38 >>>> Starting back demodulation with 368.
% 49.23/49.38 >>>> Starting back demodulation with 370.
% 49.23/49.38 >>>> Starting back demodulation with 372.
% 49.23/49.38 >>>> Starting back demodulation with 374.
% 49.23/49.38 >>>> Starting back demodulation with 376.
% 49.23/49.38 Following clause subsumed by 377 during input processing: 0 [copy,377,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).
% 49.23/49.38 >>>> Starting back demodulation with 380.
% 49.23/49.38 >> back demodulating 373 with 380.
% 49.23/49.38 >>>> Starting back demodulation with 382.
% 49.23/49.38 ** KEPT (pick-wt=11): 529 [copy,383,flip.1] c_List_Olist_ONil(A)=c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(B,C,A),A).
% 49.23/49.38 >>>> Starting back demodulation with 388.
% 49.23/49.38 >>>> Starting back demodulation with 390.
% 49.23/49.38 Following clause subsumed by 350 during input processing: 0 [copy,392,flip.1] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 49.23/49.38 >>>> Starting back demodulation with 396.
% 49.23/49.38 >>>> Starting back demodulation with 399.
% 49.23/49.38 Following clause subsumed by 400 during input processing: 0 [copy,400,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).
% 49.23/49.38 >>>> Starting back demodulation with 406.
% 49.23/49.38 >>>> Starting back demodulation with 408.
% 49.23/49.38 ** KEPT (pick-wt=8): 530 [copy,409,flip.1] c_List_Olist_ONil(A)=c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 49.23/49.38 409 back subsumes 383.
% 49.23/49.38 >>>> Starting back demodulation with 412.
% 49.23/49.38 >>>> Starting back demodulation with 414.
% 49.23/49.38 >>>> Starting back demodulation with 416.
% 49.23/49.38 >>>> Starting back demodulation with 418.
% 49.23/49.38 ** KEPT (pick-wt=22): 531 [copy,419,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).
% 49.23/49.38 >>>> Starting back demodulation with 421.
% 49.23/49.38 >>>> Starting back demodulation with 423.
% 49.23/49.38 >> back demodulating 275 with 423.
% 49.23/49.38 >> back demodulating 272 with 423.
% 49.23/49.38 >>>> Starting back demodulation with 427.
% 49.23/49.38 >>>> Starting back demodulation with 429.
% 49.23/49.38 >>>> Starting back demodulation with 431.
% 49.23/49.38 >>>> Starting back demodulation with 434.
% 49.23/49.38 >>>> Starting back demodulation with 438.
% 49.23/49.38 >>>> Starting back demodulation with 440.
% 49.23/49.38 >>>> Starting back demodulation with 442.
% 49.23/49.38 ** KEPT (pick-wt=20): 532 [copy,443,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).
% 49.23/49.38 >>>> Starting back demodulation with 446.
% 49.23/49.38 >> back demodulating 426 with 446.
% 49.23/49.38 ** KEPT (pick-wt=15): 534 [copy,447,flip.1] hAPP(hAPP(A,B),C)=c_List_Olist_Olist__case(D,A,c_List_Olist_OCons(B,C,E),F,E).
% 49.23/49.38 >>>> Starting back demodulation with 449.
% 49.23/49.38 >>>> Starting back demodulation with 452.
% 49.23/49.38 >>>> Starting back demodulation with 454.
% 49.23/49.38 >>>> Starting back demodulation with 457.
% 49.23/49.38 ** KEPT (pick-wt=15): 535 [copy,458,flip.1] c_List_Oreplicate(A,hAPP(B,C),D)=c_List_Omap(B,c_List_Oreplicate(A,C,E),E,D).
% 49.23/49.38 ** KEPT (pick-wt=13): 536 [copy,459,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)).
% 49.23/49.38 >>>> Starting back demodulation with 461.
% 49.23/49.38 >>>> Starting back demodulation with 463.
% 49.23/49.38 >>>> Starting back demodulation with 465.
% 49.23/49.38 Following clause subsumed by 471 during input processing: 0 [copy,466,flip.1] c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 49.23/49.38 >>>> Starting back demodulation with 469.
% 49.23/49.38 ** KEPT (pick-wt=21): 537 [copy,470,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).
% 49.23/49.38 Following clause subsumed by 466 during input processing: 0 [copy,471,flip.1] c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 49.23/49.38 ** KEPT (pick-wt=29): 538 [copy,472,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).
% 49.23/49.38 >>>> Starting back demodulation with 474.
% 49.23/49.38 >>>> Starting back demodulation with 477.
% 49.23/49.38 ** KEPT (pick-wt=23): 539 [copy,481,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).
% 49.23/49.38 >>>> Starting back demodulation with 483.
% 49.23/49.38 >>>> Starting back demodulation with 485.
% 49.23/49.38 ** KEPT (pick-wt=14): 540 [copy,486,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).
% 49.23/49.38 >>>> Starting back demodulation with 489.
% 49.23/49.38 >> back demodulating 393 with 489.
% 49.23/49.38 >> back demodulating 226 with 489.
% 49.23/49.38 >>>> Starting back demodulation with 491.
% 49.23/49.38 ** KEPT (pick-wt=41): 543 [copy,492,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),B),C),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,B,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),C,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),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).
% 49.23/49.38 ** KEPT (pick-wt=14): 544 [copy,493,flip.1] hAPP(hAPP(A,B),C)=hAPP(c_COMBC(A,C,D,E,F),B).
% 49.23/49.38 >>>> Starting back demodulation with 497.
% 49.23/49.38 >>>> Starting back demodulation with 500.
% 49.23/49.38 ** KEPT (pick-wt=13): 545 [copy,522,flip.1] hAPP(A,hAPP(B,C))=c_COMBB(A,B,C,D,E,F).
% 49.23/49.38 Following clause subsumed by 286 during input processing: 0 [copy,524,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).
% 49.23/49.38 Following clause subsumed by 296 during input processing: 0 [copy,525,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).
% 49.23/49.38 Following clause subsumed by 357 during input processing: 0 [copy,526,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).
% 49.23/49.38 ** KEPT (pick-wt=13): 546 [copy,527,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).
% 49.23/49.38 Following clause subsumed by 365 during input processing: 0 [copy,528,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).
% 49.23/49.38 Following clause subsumed by 409 during input processing: 0 [copy,529,flip.1] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_ONil(C).
% 49.23/49.38 Following clause subsumed by 409 during input processing: 0 [copy,530,flip.1] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 49.23/49.38 530 back subsumes 529.
% 49.23/49.38 Following clause subsumed by 419 during input processing: 0 [copy,531,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).
% 49.23/49.38 Following clause subsumed by 443 during input processing: 0 [copy,532,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).
% 49.23/49.38 ** KEPT (pick-wt=21): 547 [copy,533,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).
% 49.23/49.38 Following clause subsumed by 447 during input processing: 0 [copy,534,flip.1] c_List_Olist_Olist__case(A,B,c_List_Olist_OCons(C,D,E),F,E)=hAPP(hAPP(B,C),D).
% 49.23/49.38 Following clause subsumed by 458 during input processing: 0 [copy,535,flip.1] c_List_Omap(A,c_List_Oreplicate(B,C,D),D,E)=c_List_Oreplicate(B,hAPP(A,C),E).
% 49.23/49.38 Following clause subsumed by 459 during input processing: 0 [copy,536,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)).
% 49.23/49.38 Following clause subsumed by 470 during input processing: 0 [copy,537,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).
% 49.23/49.38 Following clause subsumed by 472 during input processing: 0 [copy,538,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)).
% 49.44/49.59 Following clause subsumed by 481 during input processing: 0 [copy,539,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)).
% 49.44/49.59 Following clause subsumed by 486 during input processing: 0 [copy,540,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).
% 49.44/49.59 Following clause subsumed by 492 during input processing: 0 [copy,543,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(c_COMBC(c_COMBC(c_Lambda_Osubst,C,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),D,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 49.44/49.59 Following clause subsumed by 493 during input processing: 0 [copy,544,flip.1] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 49.44/49.59 Following clause subsumed by 522 during input processing: 0 [copy,545,flip.1] c_COMBB(A,B,C,D,E,F)=hAPP(A,hAPP(B,C)).
% 49.44/49.59 Following clause subsumed by 527 during input processing: 0 [copy,546,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).
% 49.44/49.59 Following clause subsumed by 533 during input processing: 0 [copy,547,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).
% 49.44/49.59
% 49.44/49.59 ======= end of input processing =======
% 49.44/49.59
% 49.44/49.59 =========== start of search ===========
% 49.44/49.59
% 49.44/49.59
% 49.44/49.59 Resetting weight limit to 2.
% 49.44/49.59
% 49.44/49.59
% 49.44/49.59 Resetting weight limit to 2.
% 49.44/49.59
% 49.44/49.59 sos_size=164
% 49.44/49.59
% 49.44/49.59 Search stopped in tp_alloc by max_mem option.
% 49.44/49.59
% 49.44/49.59 Search stopped in tp_alloc by max_mem option.
% 49.44/49.59
% 49.44/49.59 ============ end of search ============
% 49.44/49.59
% 49.44/49.59 -------------- statistics -------------
% 49.44/49.59 clauses given 115
% 49.44/49.59 clauses generated 26071
% 49.44/49.59 clauses kept 428
% 49.44/49.59 clauses forward subsumed 87
% 49.44/49.59 clauses back subsumed 7
% 49.44/49.59 Kbytes malloced 11718
% 49.44/49.59
% 49.44/49.59 ----------- times (seconds) -----------
% 49.44/49.59 user CPU time 0.26 (0 hr, 0 min, 0 sec)
% 49.44/49.59 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 49.44/49.59 wall-clock time 49 (0 hr, 0 min, 49 sec)
% 49.44/49.59
% 49.44/49.59 Process 24386 finished Wed Jul 27 09:33:53 2022
% 49.44/49.59 Otter interrupted
% 49.44/49.59 PROOF NOT FOUND
%------------------------------------------------------------------------------