TSTP Solution File: LCL830-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL830-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:05:33 EDT 2022
% Result : Unknown 78.13s 78.22s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL830-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 09:19:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 77.96/78.02 ----- Otter 3.3f, August 2004 -----
% 77.96/78.02 The process was started by sandbox2 on n014.cluster.edu,
% 77.96/78.02 Wed Jul 27 09:19:09 2022
% 77.96/78.02 The command was "./otter". The process ID is 4912.
% 77.96/78.02
% 77.96/78.02 set(prolog_style_variables).
% 77.96/78.02 set(auto).
% 77.96/78.02 dependent: set(auto1).
% 77.96/78.02 dependent: set(process_input).
% 77.96/78.02 dependent: clear(print_kept).
% 77.96/78.02 dependent: clear(print_new_demod).
% 77.96/78.02 dependent: clear(print_back_demod).
% 77.96/78.02 dependent: clear(print_back_sub).
% 77.96/78.02 dependent: set(control_memory).
% 77.96/78.02 dependent: assign(max_mem, 12000).
% 77.96/78.02 dependent: assign(pick_given_ratio, 4).
% 77.96/78.02 dependent: assign(stats_level, 1).
% 77.96/78.02 dependent: assign(max_seconds, 10800).
% 77.96/78.02 clear(print_given).
% 77.96/78.02
% 77.96/78.02 list(usable).
% 77.96/78.02 0 [] A=A.
% 77.96/78.02 0 [] c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a)=c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a).
% 77.96/78.02 0 [] c_List_Orotate(V_n,V_xs,T_a)=c_List_Orotate(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a).
% 77.96/78.02 0 [] c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a)=c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a).
% 77.96/78.02 0 [] c_lesse_quals(c_Nat_Osize__class_Osize(c_List_OdropWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 77.96/78.02 0 [] c_lesse_quals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 77.96/78.02 0 [] c_List_Olist__update(V_xs,V_i,V_x,T_a)=V_xs| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat).
% 77.96/78.02 0 [] c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)| -c_Type_Otyping(V_env,V_t,V_T)| -c_Type_Otyping(V_env,V_s,c_Type_Otype_OFun(V_T,V_U)).
% 77.96/78.02 0 [] c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a))=c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat).
% 77.96/78.02 0 [] -class_Orderings_Olinorder(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)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 77.96/78.02 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_y,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).
% 77.96/78.02 0 [] c_lesse_quals(c_Nat_Osize__class_Osize(c_List_Ofilter(V_P,V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 77.96/78.02 0 [] c_List_Otake(V_n,V_xs,T_a)=V_xs| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat).
% 77.96/78.02 0 [] -c_lesse_quals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_ys,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat).
% 77.96/78.02 0 [] c_List_Orotate(V_n,c_List_Orev(V_xs,T_a),T_a)=c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),tc_nat),V_xs,T_a),T_a).
% 77.96/78.02 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 77.96/78.02 0 [] c_lesse_quals(V_n,V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 77.96/78.02 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 77.96/78.02 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 77.96/78.02 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 77.96/78.02 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 77.96/78.02 0 [] c_lesse_quals(V_x,V_x,tc_nat).
% 77.96/78.02 0 [] c_lesse_quals(V_i,V_k,tc_nat)| -c_lesse_quals(V_j,V_k,tc_nat)| -c_lesse_quals(V_i,V_j,tc_nat).
% 77.96/78.02 0 [] c_lesse_quals(V_n,V_n,tc_nat).
% 77.96/78.02 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 77.96/78.02 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 77.96/78.02 0 [] -hBOOL(hAPP(V_P,V_n))|hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 77.96/78.02 0 [] -hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|hBOOL(hAPP(V_P,V_n)).
% 77.96/78.02 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 77.96/78.02 0 [] c_Type_Otype_OFun(V_type1,V_type2)!=c_Type_Otype_OFun(V_type1_H,V_type2_H)|V_type1=V_type1_H.
% 77.96/78.02 0 [] c_Type_Otype_OFun(V_type1,V_type2)!=c_Type_Otype_OFun(V_type1_H,V_type2_H)|V_type2=V_type2_H.
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 77.96/78.02 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 77.96/78.02 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 77.96/78.02 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)|c_Divides_Odiv__class_Omod(V_a,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a).
% 77.96/78.02 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 77.96/78.02 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 77.96/78.02 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=V_n.
% 77.96/78.02 0 [] V_m=V_n| -c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 77.96/78.02 0 [] V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 77.96/78.02 0 [] c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat).
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=V_m.
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.02 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 77.96/78.02 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 77.96/78.02 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 77.96/78.02 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 77.96/78.02 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 77.96/78.02 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 77.96/78.02 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 77.96/78.02 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a)=c_Divides_Odiv__class_Omod(V_a,V_b,T_a).
% 77.96/78.02 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 77.96/78.02 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a).
% 77.96/78.02 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a).
% 77.96/78.02 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 77.96/78.02 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 77.96/78.02 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 77.96/78.02 0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 77.96/78.02 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 77.96/78.02 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat)!=c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat)|V_m=V_n.
% 77.96/78.02 0 [] -class_Int_Oring__char__0(T_a)| -class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(V_x,T_a)!=c_Int_Onumber__class_Onumber__of(V_y,T_a)|V_x=V_y.
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 77.96/78.02 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat).
% 77.96/78.02 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=V_y.
% 77.96/78.02 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 77.96/78.02 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat).
% 77.96/78.02 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 77.96/78.02 0 [] c_lesse_quals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat).
% 77.96/78.02 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 77.96/78.02 0 [] c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat)=V_i| -c_lesse_quals(V_i,V_n,tc_nat).
% 77.96/78.02 0 [] c_Int_Onumber__class_Onumber__of(V_v,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a).
% 77.96/78.02 0 [] c_List_Odrop(V_n,V_xs,T_a)!=c_List_Olist_ONil(T_a)|c_lesse_quals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat).
% 77.96/78.02 0 [] c_List_Odrop(V_n,V_xs,T_a)=c_List_Olist_ONil(T_a)| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat).
% 77.96/78.02 0 [] c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)!=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)|c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a)=V_ys_092_060_094isub_0621|c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 77.96/78.02 0 [] c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a).
% 77.96/78.02 0 [] c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)!=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)|V_xs_092_060_094isub_0621=c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 77.96/78.02 0 [] c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)!=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)|V_xs_092_060_094isub_0622=c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a)| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 77.96/78.02 0 [] c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)!=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)|c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a)=V_ys_092_060_094isub_0622|c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 77.96/78.02 0 [] c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a).
% 77.96/78.02 0 [] c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Orotate(V_n,V_xs,T_a)=V_xs.
% 77.96/78.02 0 [] V_ys=c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a).
% 77.96/78.02 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 77.96/78.02 0 [] c_List_Odistinct(V_ys,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 77.96/78.02 0 [] V_xs=c_List_Orev(c_List_Orev(V_xs,T_a),T_a).
% 77.96/78.02 0 [] c_List_Orev(c_List_Orev(V_ys,T_a),T_a)=V_ys.
% 77.96/78.02 0 [] c_List_Orev(c_List_Orev(V_xs,T_a),T_a)=V_xs.
% 77.96/78.02 0 [] c_List_OdropWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Odistinct(c_List_OdropWhile(V_P,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 77.96/78.02 0 [] c_List_Omap__filter(V_f,V_P,V_xs,T_b,T_a)=c_List_Omap(V_f,c_List_Ofilter(V_P,V_xs,T_b),T_b,T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] hAPP(V_e,V_i)=V_T| -c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T).
% 77.96/78.02 0 [] c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 77.96/78.02 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).
% 77.96/78.02 0 [] -c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a).
% 77.96/78.02 0 [] -c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 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))).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 77.96/78.02 0 [] hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x)=V_T.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] v_T____!=c_Type_Otype_OFun(V_T1,V_T2)|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))| -c_Type_Otyping(V_e,V_u,V_T1)| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 77.96/78.02 0 [] v_T____!=c_Type_Otype_OFun(V_T1,V_T2)|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))| -c_Type_Otyping(V_e,V_u,V_T2)| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 77.96/78.02 0 [] c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)| -c_Type_Otypings(V_e,V_ts,V_Ts)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 77.96/78.02 0 [] c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 77.96/78.02 0 [] c_List_Orotate(V_n,V_xs,T_a)=c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),c_List_Otake(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),T_a).
% 77.96/78.02 0 [] c_Type_Otyping(v_ea______,v_ua______,v_T____).
% 77.96/78.02 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),c_Type_Otype_OFun(V_T,V_U))| -c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U).
% 77.96/78.02 0 [] c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 77.96/78.02 0 [] c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 77.96/78.02 0 [] c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a)=c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a).
% 77.96/78.02 0 [] c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a)=c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a).
% 77.96/78.02 0 [] c_Type_Otyping(v_e____,v_u____,v_T____).
% 77.96/78.02 0 [] V_xs_092_060_094isub_0621!=c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)|c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a)=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)| -c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat).
% 77.96/78.02 0 [] c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a)!=V_ys_092_060_094isub_0621|c_lesse_quals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat)|c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a)=c_List_Oappend(V_ys_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a),T_a).
% 77.96/78.02 0 [] V_v=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)| -c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB),V_v).
% 77.96/78.02 0 [] c_Int_Onumber__class_Onumber__of(V_v,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 77.96/78.02 0 [] V_xs=c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 0 [] V_x=c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a).
% 77.96/78.02 0 [] c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Oappend(V_xs,V_zs,T_a)|V_ys=V_zs.
% 77.96/78.02 0 [] c_List_Oappend(V_ys,V_xs,T_a)!=c_List_Oappend(V_zs,V_xs,T_a)|V_ys=V_zs.
% 77.96/78.02 0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_m=V_n.
% 77.96/78.02 0 [] c_List_Olist__all(V_P,c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] -c_List_Olist__ex(V_P,c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_OremoveAll(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)).
% 77.96/78.02 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).
% 77.96/78.02 0 [] V_xs=V_ys| -c_List_Olist__all2(c_fe_qual(T_a),V_xs,V_ys,T_a,T_a).
% 77.96/78.02 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 0 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=V_xs.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)).
% 77.96/78.02 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.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Odistinct(c_List_Ofilter(V_P,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 77.96/78.02 0 [] c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 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.
% 77.96/78.02 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.
% 77.96/78.02 0 [] c_List_Oremove1(V_x,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 77.96/78.02 0 [] c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 77.96/78.02 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a).
% 77.96/78.02 0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b)=V_f1.
% 77.96/78.02 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Olist_ONil(T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 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)).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 77.96/78.02 0 [] c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))| -c_Lambda_Obeta(V_s,V_t).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Olistrelp(V_r,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 0 [] c_List_Orev(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Odistinct(c_List_OtakeWhile(V_P,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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))).
% 77.96/78.02 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))).
% 77.96/78.02 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)).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_OremoveAll(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_OremoveAll(V_x,V_xs,T_a).
% 77.96/78.02 0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 77.96/78.02 0 [] c_List_Omap__filter(V_f,V_P,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__filter(V_f,V_P,V_xs,T_b,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 77.96/78.02 0 [] c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_OdropWhile(V_P,V_xs,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 77.96/78.02 0 [] c_List_OdropWhile(V_P,V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|V_xs=c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a).
% 77.96/78.02 0 [] V_xs!=c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)|c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Olist_OCons(V_y,V_ys,T_a)|hBOOL(hAPP(V_P,V_y)).
% 77.96/78.02 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_ys=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a))=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.02 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.
% 77.96/78.02 0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 77.96/78.02 0 [] c_List_Odistinct(c_List_Oremove1(V_x,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 77.96/78.02 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.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_OremoveAll(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_OremoveAll(V_x,V_xs,T_a),c_List_OremoveAll(V_x,V_ys,T_a),T_a).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] c_List_Olist_ONil(T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a).
% 77.96/78.02 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))).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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.
% 77.96/78.02 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.
% 77.96/78.02 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).
% 77.96/78.02 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.
% 77.96/78.02 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.
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Odistinct(c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 0 [] -c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t).
% 77.96/78.02 0 [] c_List_Oremove1(V_x,V_xs,T_a)=c_List_OremoveAll(V_x,V_xs,T_a)| -c_List_Odistinct(V_xs,T_a).
% 77.96/78.02 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)).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_OdropWhile(V_P,V_xs,T_a),T_a)=V_xs.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Orev(V_xs,T_a)!=c_List_Orev(V_ys,T_a)|V_xs=V_ys.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a).
% 77.96/78.02 0 [] c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a))=V_n.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Olist_ONil(T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] c_List_Orotate(V_n,V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Odrop(c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),V_xs,T_a).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] V_xs!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_ys|V_xs=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] V_ys!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 77.96/78.02 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 77.96/78.02 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).
% 77.96/78.02 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.
% 77.96/78.02 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.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 77.96/78.02 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.
% 77.96/78.02 0 [] c_List_Omap__filter(V_f,V_P,c_List_Olist_ONil(T_b),T_b,T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 77.96/78.02 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Olist_ONil(T_a)=c_List_Orev(c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 0 [] c_List_OremoveAll(V_x,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_b),T_a,T_b).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Olist__all2(c_fe_qual(T_a),V_x,V_x,T_a,T_a).
% 77.96/78.02 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.
% 77.96/78.02 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.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_OdropWhile(V_P,V_xs,T_a),T_a)| -c_List_Olinorder__class_Osorted(V_xs,T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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.
% 77.96/78.02 0 [] c_List_Olistrelp(V_r,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)| -c_List_Olistrelp(V_r,V_xs,V_ys,T_a)| -hBOOL(hAPP(hAPP(V_r,V_x),V_y)).
% 77.96/78.02 0 [] c_List_Olist__ex(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x))| -c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 77.96/78.02 0 [] c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)| -c_List_Olist__ex(V_P,V_xs,T_a).
% 77.96/78.02 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)).
% 77.96/78.02 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)).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] c_List_OremoveAll(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a)=c_List_Olist_OCons(V_y,c_List_OremoveAll(V_x,V_xs,T_a),T_a)|V_x=V_y.
% 77.96/78.02 0 [] c_List_OdropWhile(V_P,V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)| -hBOOL(hAPP(V_P,V_y)).
% 77.96/78.02 0 [] c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 77.96/78.02 0 [] c_List_Omap__filter(V_f,V_P,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a)=c_List_Omap__filter(V_f,V_P,V_xs,T_b,T_a)|hBOOL(hAPP(V_P,V_x)).
% 77.96/78.02 0 [] c_List_OListMem(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_xs.
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 77.96/78.02 0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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.
% 77.96/78.02 0 [] c_List_Odistinct(V_xs,T_b)| -c_List_Odistinct(c_List_Omap(V_f,V_xs,T_b,T_a),T_a).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a)=c_List_Olist_ONil(T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Olist_ONil(T_a)=c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a).
% 77.96/78.02 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)).
% 77.96/78.02 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k)=V_u.
% 77.96/78.02 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).
% 77.96/78.02 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k)=V_t.
% 77.96/78.02 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 77.96/78.02 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 77.96/78.02 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_ua______)).
% 77.96/78.02 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 77.96/78.02 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).
% 77.96/78.02 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))).
% 77.96/78.02 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).
% 77.96/78.02 0 [] c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),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_a____,V_T_H).
% 77.96/78.02 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),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_a____,V_T_H).
% 77.96/78.02 0 [] v_n____!=v_i____.
% 77.96/78.02 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).
% 77.96/78.02 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.
% 77.96/78.02 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).
% 77.96/78.02 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.
% 77.96/78.02 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.
% 77.96/78.02 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.
% 77.96/78.02 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)).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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)).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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.
% 77.96/78.02 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.
% 77.96/78.02 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 77.96/78.02 0 [] c_List_Olistsp(c_InductTermi_OIT,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_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 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).
% 77.96/78.02 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 77.96/78.02 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 77.96/78.02 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 77.96/78.02 0 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),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_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB).
% 77.96/78.02 0 [] -c_List_Olistsp(c_InductTermi_OIT,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),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 77.96/78.02 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 77.96/78.02 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 77.96/78.02 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 77.96/78.02 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 77.96/78.02 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 77.96/78.02 0 [] class_Divides_Osemiring__div(tc_nat).
% 77.96/78.02 0 [] class_Orderings_Opreorder(tc_nat).
% 77.96/78.02 0 [] class_Orderings_Olinorder(tc_nat).
% 77.96/78.02 0 [] class_Lattices_Olattice(tc_nat).
% 77.96/78.02 0 [] class_Orderings_Oorder(tc_nat).
% 77.96/78.02 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 77.96/78.02 0 [] class_Orderings_Opreorder(tc_bool).
% 77.96/78.02 0 [] class_Lattices_Olattice(tc_bool).
% 77.96/78.02 0 [] class_Orderings_Oorder(tc_bool).
% 77.96/78.02 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint).
% 77.96/78.02 0 [] class_Lattices_Olower__semilattice(tc_Int_Oint).
% 77.96/78.02 0 [] class_OrderedGroup_Oab__group__add(tc_Int_Oint).
% 77.96/78.02 0 [] class_OrderedGroup_Ogroup__add(tc_Int_Oint).
% 77.96/78.02 0 [] class_Divides_Osemiring__div(tc_Int_Oint).
% 77.96/78.02 0 [] class_Ring__and__Field_Oidom(tc_Int_Oint).
% 77.96/78.02 0 [] class_Orderings_Opreorder(tc_Int_Oint).
% 77.96/78.02 0 [] class_Orderings_Olinorder(tc_Int_Oint).
% 77.96/78.02 0 [] class_Lattices_Olattice(tc_Int_Oint).
% 77.96/78.02 0 [] class_Divides_Oring__div(tc_Int_Oint).
% 77.96/78.02 0 [] class_Orderings_Oorder(tc_Int_Oint).
% 77.96/78.02 0 [] class_Int_Oring__char__0(tc_Int_Oint).
% 77.96/78.02 0 [] class_Int_Onumber__ring(tc_Int_Oint).
% 77.96/78.02 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 77.96/78.02 0 [] c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c)=hAPP(V_P,hAPP(V_Q,V_R)).
% 77.96/78.02 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 77.96/78.02 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 77.96/78.02 end_of_list.
% 77.96/78.02
% 77.96/78.02 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 77.96/78.02
% 77.96/78.02 This ia a non-Horn set with equality. The strategy will be
% 77.96/78.02 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 77.96/78.02 deletion, with positive clauses in sos and nonpositive
% 77.96/78.02 clauses in usable.
% 77.96/78.02
% 77.96/78.02 dependent: set(knuth_bendix).
% 77.96/78.02 dependent: set(anl_eq).
% 77.96/78.02 dependent: set(para_from).
% 77.96/78.02 dependent: set(para_into).
% 77.96/78.02 dependent: clear(para_from_right).
% 77.96/78.02 dependent: clear(para_into_right).
% 77.96/78.02 dependent: set(para_from_vars).
% 77.96/78.02 dependent: set(eq_units_both_ways).
% 77.96/78.02 dependent: set(dynamic_demod_all).
% 77.96/78.02 dependent: set(dynamic_demod).
% 77.96/78.02 dependent: set(order_eq).
% 77.96/78.02 dependent: set(back_demod).
% 77.96/78.02 dependent: set(lrpo).
% 77.96/78.02 dependent: set(hyper_res).
% 77.96/78.02 dependent: set(unit_deletion).
% 77.96/78.02 dependent: set(factor).
% 77.96/78.02
% 77.96/78.02 ------------> process usable:
% 77.96/78.02 ** KEPT (pick-wt=14): 1 [] c_List_Olist__update(A,B,C,D)=A| -c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),B,tc_nat).
% 77.96/78.02 ** KEPT (pick-wt=18): 2 [] c_Type_Otyping(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),C),D)| -c_Type_Otyping(A,C,E)| -c_Type_Otyping(A,B,c_Type_Otype_OFun(E,D)).
% 77.96/78.02 ** KEPT (pick-wt=21): 3 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_OCons(C,D,A),A),A)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(C,D,A),A)| -c_lesse_quals(B,C,A).
% 77.96/78.02 ** KEPT (pick-wt=15): 4 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_OCons(C,D,A),A),A).
% 77.96/78.02 ** KEPT (pick-wt=13): 5 [] c_List_Otake(A,B,C)=B| -c_lesse_quals(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 77.96/78.02 ** KEPT (pick-wt=13): 6 [] -c_lesse_quals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C)),c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 77.96/78.02 ** KEPT (pick-wt=10): 7 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 77.96/78.02 ** KEPT (pick-wt=19): 8 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 77.96/78.02 ** KEPT (pick-wt=19): 9 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 77.96/78.02 ** KEPT (pick-wt=6): 10 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 77.96/78.02 ** KEPT (pick-wt=6): 11 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 77.96/78.02 ** KEPT (pick-wt=12): 12 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 77.96/78.02 ** KEPT (pick-wt=14): 13 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 77.96/78.02 ** KEPT (pick-wt=14): 14 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 77.96/78.02 ** KEPT (pick-wt=12): 15 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 77.96/78.02 ** KEPT (pick-wt=12): 16 [] -hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|hBOOL(hAPP(A,B)).
% 77.96/78.02 ** KEPT (pick-wt=10): 17 [] c_Type_Otype_OFun(A,B)!=c_Type_Otype_OFun(C,D)|A=C.
% 77.96/78.02 ** KEPT (pick-wt=10): 18 [] c_Type_Otype_OFun(A,B)!=c_Type_Otype_OFun(C,D)|B=D.
% 77.96/78.02 ** KEPT (pick-wt=9): 19 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 77.96/78.02 ** KEPT (pick-wt=9): 20 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 77.96/78.02 ** KEPT (pick-wt=17): 21 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 77.96/78.02 Following clause subsumed by 21 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 77.96/78.02 Following clause subsumed by 21 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 77.96/78.02 ** KEPT (pick-wt=9): 22 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 77.96/78.02 ** KEPT (pick-wt=9): 23 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 77.96/78.02 ** KEPT (pick-wt=14): 24 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,C,A).
% 77.96/78.02 ** KEPT (pick-wt=14): 25 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 77.96/78.02 ** KEPT (pick-wt=35): 26 [] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)!=c_Divides_Odiv__class_Omod(D,C,A)|c_Divides_Odiv__class_Omod(E,C,A)!=c_Divides_Odiv__class_Omod(F,C,A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(E,B,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(F,D,A),C,A).
% 77.96/78.02 ** KEPT (pick-wt=13): 27 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 77.96/78.02 Following clause subsumed by 27 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 77.96/78.02 Following clause subsumed by 27 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 77.96/78.02 ** KEPT (pick-wt=17): 28 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(B,A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|B=A.
% 77.96/78.02 ** KEPT (pick-wt=11): 29 [] A=B| -c_lesse_quals(B,A,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 77.96/78.02 ** KEPT (pick-wt=9): 30 [] A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 77.96/78.02 ** KEPT (pick-wt=16): 32 [copy,31,flip.1] c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_nat),B,tc_nat)=c_Divides_Odiv__class_Omod(A,B,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 77.96/78.02 ** KEPT (pick-wt=11): 33 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 77.96/78.02 ** KEPT (pick-wt=9): 34 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 77.96/78.02 ** KEPT (pick-wt=9): 35 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 77.96/78.02 Following clause subsumed by 34 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 77.96/78.02 ** KEPT (pick-wt=9): 36 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 77.96/78.02 ** KEPT (pick-wt=9): 37 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 77.96/78.02 ** KEPT (pick-wt=9): 38 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 77.96/78.02 ** KEPT (pick-wt=11): 39 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 77.96/78.02 ** KEPT (pick-wt=11): 40 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_lesse_quals(A,B,tc_nat).
% 77.96/78.02 ** KEPT (pick-wt=14): 41 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,A),C,A)=c_Divides_Odiv__class_Omod(B,C,A).
% 77.96/78.02 ** KEPT (pick-wt=10): 42 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 77.96/78.02 ** KEPT (pick-wt=20): 44 [copy,43,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 77.96/78.03 ** KEPT (pick-wt=20): 46 [copy,45,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,C,A),D,A).
% 77.96/78.03 ** KEPT (pick-wt=14): 47 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(A,C,tc_nat),tc_nat)| -c_lesse_quals(C,B,tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=14): 48 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 77.96/78.03 Following clause subsumed by 48 during input processing: 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_lesse_quals(A,C,tc_nat)| -c_lesse_quals(B,C,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=22): 49 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,C,tc_nat),c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(C,A,tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=14): 50 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 77.96/78.03 ** KEPT (pick-wt=14): 51 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 77.96/78.03 ** KEPT (pick-wt=20): 52 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)!=c_HOL_Ominus__class_Ominus(C,B,tc_nat)| -c_lesse_quals(B,C,tc_nat)| -c_lesse_quals(B,A,tc_nat)|A=C.
% 77.96/78.03 ** KEPT (pick-wt=14): 53 [] -class_Int_Oring__char__0(A)| -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_Int_Onumber__class_Onumber__of(C,A)|B=C.
% 77.96/78.03 ** KEPT (pick-wt=12): 54 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 77.96/78.03 ** KEPT (pick-wt=12): 55 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 77.96/78.03 ** KEPT (pick-wt=12): 56 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 77.96/78.03 ** KEPT (pick-wt=14): 57 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 77.96/78.03 ** KEPT (pick-wt=12): 58 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 77.96/78.03 ** KEPT (pick-wt=12): 59 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 77.96/78.03 ** KEPT (pick-wt=23): 60 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(A,C,tc_nat)| -c_lesse_quals(B,C,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=23): 62 [copy,61,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(B,C,A),c_Divides_Odiv__class_Omod(D,C,A),A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 77.96/78.03 ** KEPT (pick-wt=13): 63 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 77.96/78.03 ** KEPT (pick-wt=13): 64 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 77.96/78.03 ** KEPT (pick-wt=13): 65 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 77.96/78.03 ** KEPT (pick-wt=13): 66 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 77.96/78.03 Following clause subsumed by 63 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 77.96/78.03 Following clause subsumed by 64 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 77.96/78.03 ** KEPT (pick-wt=13): 67 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(A,B,tc_nat),tc_nat)=B| -c_lesse_quals(B,A,tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=20): 68 [] c_Int_Onumber__class_Onumber__of(A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Odrop(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,C,D).
% 77.96/78.03 ** KEPT (pick-wt=14): 69 [] c_List_Odrop(A,B,C)!=c_List_Olist_ONil(C)|c_lesse_quals(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=14): 70 [] c_List_Odrop(A,B,C)=c_List_Olist_ONil(C)| -c_lesse_quals(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=28): 71 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Otake(c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),A,C)=D|c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=28): 73 [copy,72,flip.2] c_List_Oappend(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),D,C)=A| -c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=31): 74 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,E,C)|B=c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),D,C),E,C)| -c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=31): 75 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),A,C),B,C)=E|c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),c_Nat_Osize__class_Osize(D,tc_List_Olist(C)),tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=16): 76 [] c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Orotate(A,B,C)=B.
% 77.96/78.03 ** KEPT (pick-wt=9): 77 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(A,C,B),B).
% 77.96/78.03 ** KEPT (pick-wt=9): 78 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(C,A,B),B).
% 77.96/78.03 ** KEPT (pick-wt=9): 79 [] c_List_Odistinct(c_List_OdropWhile(A,B,C),C)| -c_List_Odistinct(B,C).
% 77.96/78.03 ** KEPT (pick-wt=16): 80 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=16): 81 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=28): 82 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=16): 83 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=10): 84 [] hAPP(A,B)=C| -c_Type_Otyping(A,c_Lambda_OdB_OVar(B),C).
% 77.96/78.03 ** KEPT (pick-wt=5): 85 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 77.96/78.03 ** KEPT (pick-wt=15): 86 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=6): 87 [] -c_ListOrder_Ostep1(A,c_List_Olist_ONil(B),C,B).
% 77.96/78.03 ** KEPT (pick-wt=6): 88 [] -c_ListOrder_Ostep1(A,B,c_List_Olist_ONil(C),C).
% 77.96/78.03 ** KEPT (pick-wt=34): 89 [] 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))).
% 77.96/78.03 ** KEPT (pick-wt=16): 90 [] c_List_Ofilter(A,c_List_Oreplicate(B,C,D),D)=c_List_Oreplicate(B,C,D)| -hBOOL(hAPP(A,C)).
% 77.96/78.03 ** KEPT (pick-wt=15): 91 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=17): 92 [] -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).
% 77.96/78.03 ** KEPT (pick-wt=17): 93 [] -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).
% 77.96/78.03 ** KEPT (pick-wt=17): 94 [] -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).
% 77.96/78.03 ** KEPT (pick-wt=17): 95 [] -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).
% 77.96/78.03 ** KEPT (pick-wt=35): 97 [copy,96,flip.1] c_Type_Otype_OFun(A,B)!=v_T____|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,C),D),E)))| -c_Type_Otyping(F,D,A)| -hBOOL(hAPP(c_InductTermi_OIT,D))| -c_Type_Otyping(c_Type_Oshift(F,E,A,tc_Type_Otype),C,G)| -hBOOL(hAPP(c_InductTermi_OIT,C)).
% 77.96/78.03 ** KEPT (pick-wt=35): 99 [copy,98,flip.1] c_Type_Otype_OFun(A,B)!=v_T____|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,C),D),E)))| -c_Type_Otyping(F,D,B)| -hBOOL(hAPP(c_InductTermi_OIT,D))| -c_Type_Otyping(c_Type_Oshift(F,E,B,tc_Type_Otype),C,G)| -hBOOL(hAPP(c_InductTermi_OIT,C)).
% 77.96/78.03 ** KEPT (pick-wt=37): 100 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xvar__app__types__1__1(C,D,A,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),D)| -c_Type_Otypings(A,F,G)| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 77.96/78.03 ** KEPT (pick-wt=18): 101 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xvar__app__typesE__1__1(C,A,D,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 77.96/78.03 ** KEPT (pick-wt=16): 102 [] c_Type_Otyping(A,c_Lambda_OdB_OAbs(B),c_Type_Otype_OFun(C,D))| -c_Type_Otyping(c_Type_Oshift(A,c_HOL_Ozero__class_Ozero(tc_nat),C,tc_Type_Otype),B,D).
% 77.96/78.03 ** KEPT (pick-wt=17): 103 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xlist__app__typeE__1__1(C,A,D,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,D,B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 77.96/78.03 ** KEPT (pick-wt=17): 104 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xlist__app__typeD__1__1(C,A,D,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,D,B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 77.96/78.03 ** KEPT (pick-wt=37): 106 [copy,105,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B)!=A|c_List_Oappend(A,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B),D,B),B)=c_List_Oappend(C,D,B)| -c_lesse_quals(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=37): 108 [copy,107,flip.3] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B)!=A|c_lesse_quals(c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat)|c_List_Oappend(A,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B),D,B),B)=c_List_Oappend(C,D,B).
% 77.96/78.03 ** KEPT (pick-wt=21): 110 [copy,109,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(A,B,C),tc_Lambda_OdB,tc_Lambda_OdB)=C| -c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 77.96/78.03 ** KEPT (pick-wt=18): 111 [] c_Int_Onumber__class_Onumber__of(A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Otake(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_ONil(D).
% 77.96/78.03 ** KEPT (pick-wt=11): 112 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Otake(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 77.96/78.03 ** KEPT (pick-wt=12): 113 [] c_List_Oappend(A,B,C)!=c_List_Oappend(A,D,C)|B=D.
% 77.96/78.03 ** KEPT (pick-wt=12): 114 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,B,C)|A=D.
% 77.96/78.03 ** KEPT (pick-wt=12): 115 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|A=D.
% 77.96/78.03 ** KEPT (pick-wt=5): 116 [] -c_List_Olist__ex(A,c_List_Olist_ONil(B),B).
% 77.96/78.03 ** KEPT (pick-wt=16): 117 [] c_ListOrder_Ostep1(A,c_List_Oappend(B,C,D),c_List_Oappend(B,E,D),D)| -c_ListOrder_Ostep1(A,C,E,D).
% 77.96/78.03 ** KEPT (pick-wt=16): 118 [] -c_ListOrder_Ostep1(A,B,C,D)|c_ListOrder_Ostep1(A,c_List_Oappend(B,E,D),c_List_Oappend(C,E,D),D).
% 77.96/78.03 ** KEPT (pick-wt=16): 119 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=14): 120 [] -hBOOL(hAPP(A,c_List_Olist_Olist__case(B,C,c_List_Olist_ONil(t_b),t_a,t_b)))|hBOOL(hAPP(A,B)).
% 77.96/78.03 ** KEPT (pick-wt=11): 121 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Odrop(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 77.96/78.03 ** KEPT (pick-wt=18): 122 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=10): 123 [] A=B| -c_List_Olist__all2(c_fe_qual(C),A,B,C,C).
% 77.96/78.03 ** KEPT (pick-wt=6): 124 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_ONil(A),A).
% 77.96/78.03 ** KEPT (pick-wt=30): 125 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=20): 126 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=11): 127 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 77.96/78.03 ** KEPT (pick-wt=11): 128 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 77.96/78.03 ** KEPT (pick-wt=13): 129 [] 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.
% 77.96/78.03 ** KEPT (pick-wt=24): 130 [] 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).
% 77.96/78.03 Following clause subsumed by 130 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_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).
% 77.96/78.03 Following clause subsumed by 130 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_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).
% 77.96/78.03 ** KEPT (pick-wt=9): 131 [] c_List_Odistinct(c_List_Ofilter(A,B,C),C)| -c_List_Odistinct(B,C).
% 77.96/78.03 ** KEPT (pick-wt=15): 132 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=11): 133 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_OtakeWhile(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 77.96/78.03 ** KEPT (pick-wt=16): 134 [] 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.
% 77.96/78.03 ** KEPT (pick-wt=14): 135 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),hAPP(hAPP(c_Lambda_OdB_OApp,A),C))| -c_Lambda_Obeta(B,C).
% 77.96/78.03 ** KEPT (pick-wt=14): 136 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),hAPP(hAPP(c_Lambda_OdB_OApp,C),B))| -c_Lambda_Obeta(A,C).
% 77.96/78.03 ** KEPT (pick-wt=9): 137 [] c_List_Odistinct(c_List_Odrop(A,B,C),C)| -c_List_Odistinct(B,C).
% 77.96/78.03 ** KEPT (pick-wt=8): 138 [] c_List_Odistinct(c_List_Orev(A,B),B)| -c_List_Odistinct(A,B).
% 77.96/78.03 ** KEPT (pick-wt=8): 139 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Orev(A,B),B).
% 77.96/78.03 ** KEPT (pick-wt=10): 140 [] c_List_Orev(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 77.96/78.03 Following clause subsumed by 130 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).
% 77.96/78.03 ** KEPT (pick-wt=14): 141 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,A),B),hAPP(hAPP(c_Lambda_Olift,C),B))| -c_Lambda_Obeta(A,C).
% 77.96/78.03 ** KEPT (pick-wt=13): 142 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,A),c_Lambda_OdB_OVar(B))))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 77.96/78.03 ** KEPT (pick-wt=16): 143 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|B=E|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=22): 144 [] -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).
% 77.96/78.03 ** KEPT (pick-wt=27): 145 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=13): 146 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 77.96/78.03 ** KEPT (pick-wt=13): 147 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 77.96/78.03 ** KEPT (pick-wt=15): 148 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=9): 149 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_ONil(A),A),A).
% 77.96/78.03 ** KEPT (pick-wt=14): 150 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=9): 151 [] c_List_Odistinct(c_List_Otake(A,B,C),C)| -c_List_Odistinct(B,C).
% 77.96/78.03 ** KEPT (pick-wt=8): 152 [] c_Lambda_Obeta(c_Lambda_OdB_OAbs(A),c_Lambda_OdB_OAbs(B))| -c_Lambda_Obeta(A,B).
% 77.96/78.03 ** KEPT (pick-wt=9): 153 [] c_List_Odistinct(c_List_OtakeWhile(A,B,C),C)| -c_List_Odistinct(B,C).
% 77.96/78.03 ** KEPT (pick-wt=8): 154 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 77.96/78.03 ** KEPT (pick-wt=12): 155 [] c_List_Olist__update(A,B,C,D)!=c_List_Olist_ONil(D)|A=c_List_Olist_ONil(D).
% 77.96/78.03 ** KEPT (pick-wt=16): 156 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=16): 157 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=14): 158 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=20): 159 [] -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))).
% 77.96/78.03 Following clause subsumed by 159 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))).
% 77.96/78.03 ** KEPT (pick-wt=15): 160 [] c_List_Olist__all(A,c_List_Olist_OCons(B,C,D),D)| -c_List_Olist__all(A,C,D)| -hBOOL(hAPP(A,B)).
% 77.96/78.03 ** KEPT (pick-wt=16): 161 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=22): 162 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=7): 163 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 77.96/78.03 ** KEPT (pick-wt=25): 165 [copy,164,flip.1] c_List_Olist_OCons(hAPP(A,B),c_List_Omap__filter(A,C,D,E,F),F)=c_List_Omap__filter(A,C,c_List_Olist_OCons(B,D,E),E,F)| -hBOOL(hAPP(C,B)).
% 77.96/78.03 ** KEPT (pick-wt=19): 166 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=16): 167 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_OdropWhile(A,C,D)| -hBOOL(hAPP(A,B)).
% 77.96/78.03 ** KEPT (pick-wt=11): 168 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|B=c_List_Olist_ONil(A).
% 77.96/78.03 ** KEPT (pick-wt=11): 169 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|C=c_List_Olist_ONil(A).
% 77.96/78.03 ** KEPT (pick-wt=8): 170 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 77.96/78.03 ** KEPT (pick-wt=21): 172 [copy,171,flip.2] c_List_OdropWhile(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_Olist_OCons(D,E,C),C)=B.
% 77.96/78.03 ** KEPT (pick-wt=25): 174 [copy,173,flip.1] c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_Olist_OCons(D,E,C),C)!=B|c_List_OdropWhile(A,B,C)=c_List_Olist_OCons(D,E,C)|hBOOL(hAPP(A,D)).
% 77.96/78.03 ** KEPT (pick-wt=11): 175 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|A=c_List_Olist_ONil(C).
% 77.96/78.03 ** KEPT (pick-wt=11): 176 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 77.96/78.03 ** KEPT (pick-wt=21): 178 [copy,177,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.
% 77.96/78.03 ** KEPT (pick-wt=8): 179 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 77.96/78.03 ** KEPT (pick-wt=9): 180 [] c_List_Odistinct(c_List_Oremove1(A,B,C),C)| -c_List_Odistinct(B,C).
% 77.96/78.03 ** KEPT (pick-wt=13): 181 [] 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.
% 77.96/78.03 ** KEPT (pick-wt=27): 182 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=27): 183 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=16): 184 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=23): 185 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=14): 186 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 77.96/78.03 ** KEPT (pick-wt=14): 187 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 77.96/78.03 ** KEPT (pick-wt=18): 188 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=18): 189 [] 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.
% 77.96/78.03 ** KEPT (pick-wt=18): 190 [] 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.
% 77.96/78.03 ** KEPT (pick-wt=13): 191 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=4): 192 [] -c_Lambda_Obeta(c_Lambda_OdB_OVar(A),B).
% 77.96/78.03 ** KEPT (pick-wt=12): 194 [copy,193,flip.1] c_List_OremoveAll(A,B,C)=c_List_Oremove1(A,B,C)| -c_List_Odistinct(B,C).
% 77.96/78.03 ** KEPT (pick-wt=11): 195 [] A=c_List_Olist_ONil(B)| -c_List_Olist__all2(C,c_List_Olist_ONil(D),A,D,B).
% 77.96/78.03 ** KEPT (pick-wt=11): 196 [] A=c_List_Olist_ONil(B)| -c_List_Olist__all2(C,A,c_List_Olist_ONil(D),B,D).
% 77.96/78.03 ** KEPT (pick-wt=10): 197 [] c_List_Orev(A,B)!=c_List_Orev(C,B)|A=C.
% 77.96/78.03 ** KEPT (pick-wt=25): 198 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=9): 199 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Orotate(C,A,B),B).
% 77.96/78.03 ** KEPT (pick-wt=9): 200 [] c_List_Odistinct(c_List_Orotate(A,B,C),C)| -c_List_Odistinct(B,C).
% 77.96/78.03 ** KEPT (pick-wt=11): 201 [] c_List_Oreplicate(A,B,C)!=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=11): 202 [] c_List_Olist_ONil(A)!=c_List_Oreplicate(B,C,A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.03 ** KEPT (pick-wt=11): 203 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_List_Olist_ONil(B).
% 77.96/78.03 ** KEPT (pick-wt=10): 204 [] c_List_Olist_ONil(A)!=c_List_Orev(B,A)|B=c_List_Olist_ONil(A).
% 77.96/78.03 ** KEPT (pick-wt=14): 205 [] -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).
% 77.96/78.03 ** KEPT (pick-wt=14): 206 [] -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).
% 77.96/78.03 ** KEPT (pick-wt=11): 207 [] c_List_Orotate(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 77.96/78.03 ** KEPT (pick-wt=10): 208 [] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 77.96/78.03 Following clause subsumed by 208 during input processing: 0 [flip.1] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 77.96/78.03 ** KEPT (pick-wt=10): 209 [] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 77.96/78.03 Following clause subsumed by 209 during input processing: 0 [flip.1] c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 77.96/78.03 ** KEPT (pick-wt=8): 210 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 77.96/78.03 ** KEPT (pick-wt=57): 212 [copy,211,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).
% 77.96/78.03 ** KEPT (pick-wt=18): 213 [] 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.
% 77.96/78.03 ** KEPT (pick-wt=18): 214 [] 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.
% 77.96/78.03 ** KEPT (pick-wt=11): 215 [] c_Type_Otyping(A,B,C)| -c_Lambda_Obeta(D,B)| -c_Type_Otyping(A,D,C).
% 77.96/78.03 ** KEPT (pick-wt=11): 216 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(B,A)| -c_List_Olinorder__class_Osorted(c_List_Oappend(B,C,A),A).
% 77.96/78.03 ** KEPT (pick-wt=11): 217 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(B,A)| -c_List_Olinorder__class_Osorted(c_List_Oappend(C,B,A),A).
% 77.96/78.03 ** KEPT (pick-wt=8): 218 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 77.96/78.03 ** KEPT (pick-wt=8): 219 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 77.96/78.03 ** KEPT (pick-wt=10): 220 [] c_List_Olist__all(A,B,C)| -c_List_Olist__all(A,c_List_Orev(B,C),C).
% 77.96/78.03 ** KEPT (pick-wt=10): 221 [] c_List_Olist__all(A,c_List_Orev(B,C),C)| -c_List_Olist__all(A,B,C).
% 77.96/78.03 ** KEPT (pick-wt=8): 222 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 77.96/78.03 ** KEPT (pick-wt=5): 223 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 77.96/78.03 ** KEPT (pick-wt=24): 224 [] 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)).
% 77.96/78.03 ** KEPT (pick-wt=28): 225 [] 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).
% 77.96/78.03 ** KEPT (pick-wt=17): 226 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 77.96/78.03 ** KEPT (pick-wt=20): 227 [] 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.
% 77.96/78.03 ** KEPT (pick-wt=20): 228 [] 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.
% 77.96/78.03 ** KEPT (pick-wt=11): 229 [] c_List_Olist__all(A,B,C)| -c_List_Olist__all(A,c_List_Oappend(B,D,C),C).
% 77.96/78.03 ** KEPT (pick-wt=11): 230 [] c_List_Olist__all(A,B,C)| -c_List_Olist__all(A,c_List_Oappend(D,B,C),C).
% 77.96/78.03 ** KEPT (pick-wt=11): 231 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_OdropWhile(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 77.96/78.04 ** KEPT (pick-wt=11): 232 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Oremove1(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 77.96/78.04 ** KEPT (pick-wt=16): 233 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=22): 234 [] c_List_Olistrelp(A,c_List_Olist_OCons(B,C,D),c_List_Olist_OCons(E,F,D),D)| -c_List_Olistrelp(A,C,F,D)| -hBOOL(hAPP(hAPP(A,B),E)).
% 77.96/78.04 ** KEPT (pick-wt=15): 235 [] c_List_Olist__ex(A,B,C)|hBOOL(hAPP(A,D))| -c_List_Olist__ex(A,c_List_Olist_OCons(D,B,C),C).
% 77.96/78.04 ** KEPT (pick-wt=11): 236 [] c_List_Olist__ex(A,c_List_Olist_OCons(B,C,D),D)| -c_List_Olist__ex(A,C,D).
% 77.96/78.04 ** KEPT (pick-wt=24): 237 [] 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)).
% 77.96/78.04 Following clause subsumed by 237 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)).
% 77.96/78.04 Following clause subsumed by 237 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)).
% 77.96/78.04 ** KEPT (pick-wt=13): 238 [] c_List_OdropWhile(A,B,C)!=c_List_Olist_OCons(D,E,C)| -hBOOL(hAPP(A,D)).
% 77.96/78.04 ** KEPT (pick-wt=11): 239 [] c_List_Olist__ex(A,c_List_Olist_OCons(B,C,D),D)| -hBOOL(hAPP(A,B)).
% 77.96/78.04 ** KEPT (pick-wt=18): 240 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=13): 241 [] c_List_Ofilter(A,B,C)!=c_List_Olist_OCons(D,E,C)|hBOOL(hAPP(A,D)).
% 77.96/78.04 ** KEPT (pick-wt=17): 242 [] -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).
% 77.96/78.04 ** KEPT (pick-wt=17): 243 [] A=B|C=D| -c_ListOrder_Ostep1(E,c_List_Olist_OCons(B,D,F),c_List_Olist_OCons(A,C,F),F).
% 77.96/78.04 ** KEPT (pick-wt=19): 245 [copy,244,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)).
% 77.96/78.04 ** KEPT (pick-wt=13): 246 [] c_List_Olist_OCons(A,B,C)!=c_List_Ofilter(D,E,C)|hBOOL(hAPP(D,A)).
% 77.96/78.04 ** KEPT (pick-wt=17): 247 [] -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).
% 77.96/78.04 ** KEPT (pick-wt=18): 248 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=7): 249 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 77.96/78.04 Following clause subsumed by 249 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 77.96/78.04 ** KEPT (pick-wt=20): 250 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=11): 251 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(B,A)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(C,B,A),A).
% 77.96/78.04 ** KEPT (pick-wt=19): 252 [] 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)).
% 77.96/78.04 ** KEPT (pick-wt=11): 253 [] c_List_Olist__all(A,B,C)| -c_List_Olist__all(A,c_List_Olist_OCons(D,B,C),C).
% 77.96/78.04 ** KEPT (pick-wt=11): 254 [] hBOOL(hAPP(A,B))| -c_List_Olist__all(A,c_List_Olist_OCons(B,C,D),D).
% 77.96/78.04 ** KEPT (pick-wt=11): 255 [] c_List_OListMem(A,c_List_Olist_OCons(B,C,D),D)| -c_List_OListMem(A,C,D).
% 77.96/78.04 ** KEPT (pick-wt=9): 256 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Olist_OCons(C,A,B),B).
% 77.96/78.04 ** KEPT (pick-wt=28): 258 [copy,257,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.
% 77.96/78.04 ** KEPT (pick-wt=28): 260 [copy,259,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.
% 77.96/78.04 ** KEPT (pick-wt=28): 262 [copy,261,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.
% 77.96/78.04 ** KEPT (pick-wt=28): 264 [copy,263,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.
% 77.96/78.04 ** KEPT (pick-wt=21): 265 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=12): 266 [] c_List_Omap(A,B,C,D)!=c_List_Olist_ONil(D)|B=c_List_Olist_ONil(C).
% 77.96/78.04 ** KEPT (pick-wt=18): 267 [] 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.
% 77.96/78.04 ** KEPT (pick-wt=10): 268 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Omap(C,A,B,D),D).
% 77.96/78.04 ** KEPT (pick-wt=20): 269 [] 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)).
% 77.96/78.04 ** KEPT (pick-wt=12): 270 [] c_List_Olist_ONil(A)!=c_List_Omap(B,C,D,A)|C=c_List_Olist_ONil(D).
% 77.96/78.04 ** KEPT (pick-wt=28): 271 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=28): 272 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=28): 273 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=18): 274 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=12): 275 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,A),B)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 77.96/78.04 ** KEPT (pick-wt=9): 276 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 77.96/78.04 ** KEPT (pick-wt=15): 277 [] c_List_Olistsp(A,c_List_Oappend(B,C,D),D)| -c_List_Olistsp(A,C,D)| -c_List_Olistsp(A,B,D).
% 77.96/78.04 ** KEPT (pick-wt=11): 278 [] c_List_Olistsp(A,B,C)| -hBOOL(hAPP(A,c_List_Osko__List__Xin__listsp__conv__set__1__1(A,B,C))).
% 77.96/78.04 ** KEPT (pick-wt=17): 279 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=11): 280 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(D,B,C),C).
% 77.96/78.04 ** KEPT (pick-wt=11): 281 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(B,D,C),C).
% 77.96/78.04 ** KEPT (pick-wt=26): 282 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),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_a____,D).
% 77.96/78.04 Following clause subsumed by 282 during input processing: 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),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_a____,D).
% 77.96/78.04 ** KEPT (pick-wt=3): 283 [] v_n____!=v_i____.
% 77.96/78.04 ** KEPT (pick-wt=32): 284 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=23): 285 [] 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.
% 77.96/78.04 ** KEPT (pick-wt=23): 287 [copy,286,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.
% 77.96/78.04 ** KEPT (pick-wt=21): 288 [] 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.
% 77.96/78.04 ** KEPT (pick-wt=21): 289 [] 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.
% 77.96/78.04 ** KEPT (pick-wt=23): 290 [] 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.
% 77.96/78.04 ** KEPT (pick-wt=21): 292 [copy,291,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.
% 77.96/78.04 ** KEPT (pick-wt=21): 294 [copy,293,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.
% 77.96/78.04 ** KEPT (pick-wt=23): 296 [copy,295,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.
% 77.96/78.04 ** KEPT (pick-wt=15): 297 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),c_Lambda_OdB_OVar(B)),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 77.96/78.04 ** KEPT (pick-wt=18): 298 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=12): 299 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 77.96/78.04 ** KEPT (pick-wt=12): 300 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 77.96/78.04 ** KEPT (pick-wt=6): 301 [] c_List_Olist_OCons(A,B,C)!=B.
% 77.96/78.04 Following clause subsumed by 301 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 77.96/78.04 ** KEPT (pick-wt=23): 302 [] -c_List_Olistsp(c_InductTermi_OIT,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),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 77.96/78.04 ** KEPT (pick-wt=6): 303 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 77.96/78.04 ** KEPT (pick-wt=6): 304 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 77.96/78.04 ** KEPT (pick-wt=6): 305 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 77.96/78.04 ** KEPT (pick-wt=6): 306 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 77.96/78.04 ** KEPT (pick-wt=10): 307 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 77.96/78.04 Following clause subsumed by 223 during input processing: 0 [copy,85,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 77.96/78.04 ** KEPT (pick-wt=15): 317 [copy,91,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).
% 77.96/78.04 ** KEPT (pick-wt=14): 323 [copy,150,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).
% 77.96/78.04 Following clause subsumed by 179 during input processing: 0 [copy,154,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 77.96/78.04 Following clause subsumed by 249 during input processing: 0 [copy,163,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 77.96/78.04 Following clause subsumed by 154 during input processing: 0 [copy,179,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 77.96/78.04 Following clause subsumed by 222 during input processing: 0 [copy,218,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 77.96/78.04 Following clause subsumed by 218 during input processing: 0 [copy,222,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 77.96/78.04 Following clause subsumed by 85 during input processing: 0 [copy,223,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 77.96/78.04 Following clause subsumed by 163 during input processing: 0 [copy,249,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 77.96/78.04 251 back subsumes 247.
% 77.96/78.04 Following clause subsumed by 91 during input processing: 0 [copy,317,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).
% 77.96/78.04 Following clause subsumed by 150 during input processing: 0 [copy,323,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).
% 77.96/78.04
% 77.96/78.04 ------------> process sos:
% 77.96/78.04 ** KEPT (pick-wt=3): 331 [] A=A.
% 77.96/78.04 ** KEPT (pick-wt=15): 333 [copy,332,flip.1] c_List_Oreplicate(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,D)=c_List_Odrop(B,c_List_Oreplicate(A,C,D),D).
% 77.96/78.04 ---> New Demodulator: 334 [new_demod,333] c_List_Oreplicate(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,D)=c_List_Odrop(B,c_List_Oreplicate(A,C,D),D).
% 77.96/78.04 ** KEPT (pick-wt=15): 336 [copy,335,flip.1] c_List_Orotate(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C)=c_List_Orotate(A,B,C).
% 77.96/78.04 ---> New Demodulator: 337 [new_demod,336] c_List_Orotate(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C)=c_List_Orotate(A,B,C).
% 77.96/78.04 ** KEPT (pick-wt=18): 339 [copy,338,flip.1] c_List_Otake(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_List_Odrop(B,C,D),D)=c_List_Odrop(B,c_List_Otake(A,C,D),D).
% 77.96/78.04 ---> New Demodulator: 340 [new_demod,339] c_List_Otake(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_List_Odrop(B,C,D),D)=c_List_Odrop(B,c_List_Otake(A,C,D),D).
% 77.96/78.04 ** KEPT (pick-wt=13): 341 [] c_lesse_quals(c_Nat_Osize__class_Osize(c_List_OdropWhile(A,B,C),tc_List_Olist(C)),c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=13): 342 [] c_lesse_quals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=15): 343 [] c_Nat_Osize__class_Osize(c_List_Odrop(A,B,C),tc_List_Olist(C))=c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 77.96/78.04 ---> New Demodulator: 344 [new_demod,343] c_Nat_Osize__class_Osize(c_List_Odrop(A,B,C),tc_List_Olist(C))=c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=13): 345 [] c_lesse_quals(c_Nat_Osize__class_Osize(c_List_Ofilter(A,B,C),tc_List_Olist(C)),c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=25): 347 [copy,346,flip.1] c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_Divides_Odiv__class_Omod(C,c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat),tc_nat),A,B),B)=c_List_Orotate(C,c_List_Orev(A,B),B).
% 77.96/78.04 ---> New Demodulator: 348 [new_demod,347] c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_Divides_Odiv__class_Omod(C,c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat),tc_nat),A,B),B)=c_List_Orotate(C,c_List_Orev(A,B),B).
% 77.96/78.04 ** KEPT (pick-wt=8): 349 [] c_lesse_quals(A,B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=4): 350 [] c_lesse_quals(A,A,tc_nat).
% 77.96/78.04 Following clause subsumed by 350 during input processing: 0 [] c_lesse_quals(A,A,tc_nat).
% 77.96/78.04 Following clause subsumed by 350 during input processing: 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=7): 351 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 77.96/78.04 ---> New Demodulator: 352 [new_demod,351] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 77.96/78.04 ** KEPT (pick-wt=7): 353 [] c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=8): 354 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.04 ---> New Demodulator: 355 [new_demod,354] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=7): 356 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),A,tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=15): 357 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=5): 358 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=7): 359 [] c_lesse_quals(c_Divides_Odiv__class_Omod(A,B,tc_nat),A,tc_nat).
% 77.96/78.04 ** KEPT (pick-wt=24): 361 [copy,360,flip.1] c_List_Oappend(c_List_Otake(A,B,C),c_List_Otake(c_HOL_Ominus__class_Ominus(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),D,C),C)=c_List_Otake(A,c_List_Oappend(B,D,C),C).
% 77.96/78.04 ---> New Demodulator: 362 [new_demod,361] c_List_Oappend(c_List_Otake(A,B,C),c_List_Otake(c_HOL_Ominus__class_Ominus(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),D,C),C)=c_List_Otake(A,c_List_Oappend(B,D,C),C).
% 77.96/78.04 ** KEPT (pick-wt=24): 364 [copy,363,flip.1] c_List_Oappend(c_List_Odrop(A,B,C),c_List_Odrop(c_HOL_Ominus__class_Ominus(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),D,C),C)=c_List_Odrop(A,c_List_Oappend(B,D,C),C).
% 77.96/78.04 ---> New Demodulator: 365 [new_demod,364] c_List_Oappend(c_List_Odrop(A,B,C),c_List_Odrop(c_HOL_Ominus__class_Ominus(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),D,C),C)=c_List_Odrop(A,c_List_Oappend(B,D,C),C).
% 77.96/78.04 ** KEPT (pick-wt=7): 367 [copy,366,flip.1] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 77.96/78.04 ---> New Demodulator: 368 [new_demod,367] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 77.96/78.04 ** KEPT (pick-wt=7): 370 [copy,369,flip.1] c_List_Orev(c_List_Orev(A,B),B)=A.
% 77.96/78.04 ---> New Demodulator: 371 [new_demod,370] c_List_Orev(c_List_Orev(A,B),B)=A.
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,371] A=A.
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,371] A=A.
% 77.96/78.04 ** KEPT (pick-wt=8): 372 [] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ---> New Demodulator: 373 [new_demod,372] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ** KEPT (pick-wt=12): 375 [copy,374,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 77.96/78.04 ---> New Demodulator: 376 [new_demod,375] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 77.96/78.04 ** KEPT (pick-wt=15): 378 [copy,377,flip.1] c_List_Omap(A,c_List_Ofilter(B,C,D),D,E)=c_List_Omap__filter(A,B,C,D,E).
% 77.96/78.04 ---> New Demodulator: 379 [new_demod,378] c_List_Omap(A,c_List_Ofilter(B,C,D),D,E)=c_List_Omap__filter(A,B,C,D,E).
% 77.96/78.04 ** KEPT (pick-wt=23): 380 [] 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)).
% 77.96/78.04 ** KEPT (pick-wt=11): 381 [] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 77.96/78.04 ---> New Demodulator: 382 [new_demod,381] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 77.96/78.04 ** KEPT (pick-wt=8): 383 [] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ---> New Demodulator: 384 [new_demod,383] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ** KEPT (pick-wt=14): 385 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 77.96/78.04 ---> New Demodulator: 386 [new_demod,385] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,386] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 77.96/78.04 ** KEPT (pick-wt=9): 387 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 77.96/78.04 ---> New Demodulator: 388 [new_demod,387] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 77.96/78.04 ** KEPT (pick-wt=9): 389 [] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 77.96/78.04 ---> New Demodulator: 390 [new_demod,389] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 77.96/78.04 ** KEPT (pick-wt=23): 391 [] 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)).
% 77.96/78.04 ---> New Demodulator: 392 [new_demod,391] 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)).
% 77.96/78.04 ** KEPT (pick-wt=27): 394 [copy,393,flip.1] c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C),c_List_Otake(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C),C)=c_List_Orotate(A,B,C).
% 77.96/78.04 ---> New Demodulator: 395 [new_demod,394] c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C),c_List_Otake(c_Divides_Odiv__class_Omod(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat),B,C),C)=c_List_Orotate(A,B,C).
% 77.96/78.04 ** KEPT (pick-wt=4): 396 [] c_Type_Otyping(v_ea______,v_ua______,v_T____).
% 77.96/78.04 ** KEPT (pick-wt=19): 397 [] c_List_Orev(c_List_Odrop(A,B,C),C)=c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 77.96/78.04 ** KEPT (pick-wt=19): 398 [] c_List_Orev(c_List_Otake(A,B,C),C)=c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 77.96/78.04 ** KEPT (pick-wt=4): 399 [] c_Type_Otyping(v_e____,v_u____,v_T____).
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,368] B=B.
% 77.96/78.04 ** KEPT (pick-wt=7): 401 [copy,400,flip.1] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 77.96/78.04 ---> New Demodulator: 402 [new_demod,401] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,368] A=A.
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,402] A=A.
% 77.96/78.04 ** KEPT (pick-wt=15): 404 [copy,403,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).
% 77.96/78.04 ---> New Demodulator: 405 [new_demod,404] 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).
% 77.96/78.04 ** KEPT (pick-wt=8): 406 [] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ---> New Demodulator: 407 [new_demod,406] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ** KEPT (pick-wt=5): 408 [] c_List_Olist__all(A,c_List_Olist_ONil(B),B).
% 77.96/78.04 ** KEPT (pick-wt=14): 409 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,B)).
% 77.96/78.04 ** KEPT (pick-wt=13): 410 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,B,C).
% 77.96/78.04 ---> New Demodulator: 411 [new_demod,410] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,B,C).
% 77.96/78.04 ** KEPT (pick-wt=16): 412 [] c_List_OremoveAll(A,c_List_Ofilter(B,C,D),D)=c_List_Ofilter(B,C,D)|hBOOL(hAPP(B,A)).
% 77.96/78.04 ** KEPT (pick-wt=17): 413 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=7): 414 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 77.96/78.04 ---> New Demodulator: 415 [new_demod,414] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 77.96/78.04 ** KEPT (pick-wt=13): 416 [] 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).
% 77.96/78.04 ---> New Demodulator: 417 [new_demod,416] 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).
% 77.96/78.04 ** KEPT (pick-wt=13): 418 [] 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)).
% 77.96/78.04 ** KEPT (pick-wt=7): 419 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)).
% 77.96/78.04 ** KEPT (pick-wt=12): 421 [copy,420,flip.1] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 77.96/78.04 ---> New Demodulator: 422 [new_demod,421] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 77.96/78.04 ** KEPT (pick-wt=8): 423 [] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ---> New Demodulator: 424 [new_demod,423] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ** KEPT (pick-wt=9): 425 [] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 77.96/78.04 ---> New Demodulator: 426 [new_demod,425] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,426] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,426] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 77.96/78.04 ** KEPT (pick-wt=12): 427 [] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 77.96/78.04 ---> New Demodulator: 428 [new_demod,427] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 77.96/78.04 ** KEPT (pick-wt=8): 429 [] c_List_Oremove1(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ---> New Demodulator: 430 [new_demod,429] c_List_Oremove1(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ** KEPT (pick-wt=17): 431 [] 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).
% 77.96/78.04 ---> New Demodulator: 432 [new_demod,431] 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).
% 77.96/78.04 ** KEPT (pick-wt=11): 433 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 77.96/78.04 ** KEPT (pick-wt=8): 434 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 77.96/78.04 ** KEPT (pick-wt=9): 435 [] c_List_Olist_Olist__case(A,B,c_List_Olist_ONil(C),D,C)=A.
% 77.96/78.04 ---> New Demodulator: 436 [new_demod,435] c_List_Olist_Olist__case(A,B,c_List_Olist_ONil(C),D,C)=A.
% 77.96/78.04 ** KEPT (pick-wt=8): 437 [] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ---> New Demodulator: 438 [new_demod,437] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.04 ** KEPT (pick-wt=14): 439 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=13): 440 [] 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)).
% 77.96/78.04 ---> New Demodulator: 441 [new_demod,440] 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)).
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,368] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,417] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 77.96/78.04 Following clause subsumed by 331 during input processing: 0 [demod,402] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 77.96/78.04 ** KEPT (pick-wt=19): 442 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=7): 443 [] c_List_Olistrelp(A,c_List_Olist_ONil(B),c_List_Olist_ONil(B),B).
% 77.96/78.04 ** KEPT (pick-wt=7): 444 [] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 77.96/78.04 ---> New Demodulator: 445 [new_demod,444] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 77.96/78.04 ** KEPT (pick-wt=15): 446 [] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 77.96/78.04 ---> New Demodulator: 447 [new_demod,446] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 77.96/78.04 ** KEPT (pick-wt=21): 448 [] 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).
% 77.96/78.04 ** KEPT (pick-wt=18): 449 [] 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).
% 77.96/78.04 ---> New Demodulator: 450 [new_demod,449] 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).
% 77.96/78.04 ** KEPT (pick-wt=16): 451 [] c_List_Ofilter(A,c_List_Olist_OCons(B,C,D),D)=c_List_Ofilter(A,C,D)|hBOOL(hAPP(A,B)).
% 77.96/78.04 ** KEPT (pick-wt=12): 452 [] c_List_OremoveAll(A,c_List_Olist_OCons(A,B,C),C)=c_List_OremoveAll(A,B,C).
% 77.96/78.04 ---> New Demodulator: 453 [new_demod,452] c_List_OremoveAll(A,c_List_Olist_OCons(A,B,C),C)=c_List_OremoveAll(A,B,C).
% 77.96/78.04 ** KEPT (pick-wt=16): 454 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,C,D)|hBOOL(hAPP(A,B)).
% 77.96/78.04 ** KEPT (pick-wt=23): 455 [] 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)).
% 77.96/78.04 ** KEPT (pick-wt=8): 456 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.05 ---> New Demodulator: 457 [new_demod,456] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.05 ** KEPT (pick-wt=18): 458 [] c_List_OremoveAll(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_OremoveAll(A,B,D),c_List_OremoveAll(A,C,D),D).
% 77.96/78.05 ---> New Demodulator: 459 [new_demod,458] c_List_OremoveAll(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_OremoveAll(A,B,D),c_List_OremoveAll(A,C,D),D).
% 77.96/78.05 ** KEPT (pick-wt=12): 460 [] 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)).
% 77.96/78.05 ---> New Demodulator: 461 [new_demod,460] 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)).
% 77.96/78.05 ** KEPT (pick-wt=19): 462 [] 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)).
% 77.96/78.05 ** KEPT (pick-wt=8): 463 [] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 77.96/78.05 ** KEPT (pick-wt=15): 464 [] 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))).
% 77.96/78.05 ** KEPT (pick-wt=21): 465 [] 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).
% 77.96/78.05 ** KEPT (pick-wt=4): 466 [] c_List_Odistinct(c_List_Olist_ONil(A),A).
% 77.96/78.05 ** KEPT (pick-wt=16): 467 [] c_List_Oremove1(A,c_List_Ofilter(B,C,D),D)=c_List_Ofilter(B,C,D)|hBOOL(hAPP(B,A)).
% 77.96/78.05 ** KEPT (pick-wt=14): 468 [] c_List_Ofilter(A,c_List_Oreplicate(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,C)).
% 77.96/78.05 ** KEPT (pick-wt=12): 469 [] c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_OdropWhile(A,B,C),C)=B.
% 77.96/78.05 ---> New Demodulator: 470 [new_demod,469] c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_OdropWhile(A,B,C),C)=B.
% 77.96/78.05 ** KEPT (pick-wt=8): 471 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 77.96/78.05 Following clause subsumed by 471 during input processing: 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_ONil(C).
% 77.96/78.05 ** KEPT (pick-wt=23): 473 [copy,472,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).
% 77.96/78.05 ---> New Demodulator: 474 [new_demod,473] 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).
% 77.96/78.05 ** KEPT (pick-wt=9): 475 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 77.96/78.05 ---> New Demodulator: 476 [new_demod,475] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 77.96/78.05 ** KEPT (pick-wt=18): 477 [] 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)).
% 77.96/78.05 ---> New Demodulator: 478 [new_demod,477] 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)).
% 77.96/78.05 ** KEPT (pick-wt=15): 480 [copy,479,flip.1] c_List_Odrop(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),B,C)=c_List_OdropWhile(A,B,C).
% 77.96/78.05 ---> New Demodulator: 481 [new_demod,480] c_List_Odrop(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),B,C)=c_List_OdropWhile(A,B,C).
% 77.96/78.05 ** KEPT (pick-wt=22): 482 [] 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).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,368] c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 77.96/78.05 ** KEPT (pick-wt=8): 483 [] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.05 ---> New Demodulator: 484 [new_demod,483] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.05 ** KEPT (pick-wt=8): 485 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 77.96/78.05 ---> New Demodulator: 486 [new_demod,485] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 77.96/78.05 ** KEPT (pick-wt=22): 487 [] 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.
% 77.96/78.05 ** KEPT (pick-wt=10): 488 [] c_List_Omap__filter(A,B,c_List_Olist_ONil(C),C,D)=c_List_Olist_ONil(D).
% 77.96/78.05 ** KEPT (pick-wt=21): 490 [copy,489,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).
% 77.96/78.05 ---> New Demodulator: 491 [new_demod,490] 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).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,445] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 77.96/78.05 ** KEPT (pick-wt=8): 492 [] c_List_OremoveAll(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.05 ---> New Demodulator: 493 [new_demod,492] c_List_OremoveAll(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 77.96/78.05 ** KEPT (pick-wt=11): 494 [] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 77.96/78.05 ---> New Demodulator: 495 [new_demod,494] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 77.96/78.05 ** KEPT (pick-wt=8): 496 [] c_List_Olist__all2(A,c_List_Olist_ONil(B),c_List_Olist_ONil(C),B,C).
% 77.96/78.05 ** KEPT (pick-wt=13): 497 [] c_List_Orev(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Orev(B,C),C).
% 77.96/78.05 ---> New Demodulator: 498 [new_demod,497] c_List_Orev(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Orev(B,C),C).
% 77.96/78.05 ** KEPT (pick-wt=7): 499 [] c_List_Olist__all2(c_fe_qual(A),B,B,A,A).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,402] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 77.96/78.05 ** KEPT (pick-wt=15): 500 [] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 77.96/78.05 ---> New Demodulator: 501 [new_demod,500] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 77.96/78.05 ** KEPT (pick-wt=15): 502 [] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 77.96/78.05 ---> New Demodulator: 503 [new_demod,502] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,503] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,503] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,503] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 77.96/78.05 ** KEPT (pick-wt=18): 504 [] 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.
% 77.96/78.05 ** KEPT (pick-wt=18): 505 [] c_List_OremoveAll(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_OremoveAll(A,C,D),D)|A=B.
% 77.96/78.05 ** KEPT (pick-wt=20): 506 [] c_List_Omap__filter(A,B,c_List_Olist_OCons(C,D,E),E,F)=c_List_Omap__filter(A,B,D,E,F)|hBOOL(hAPP(B,C)).
% 77.96/78.05 ** KEPT (pick-wt=7): 507 [] c_List_OListMem(A,c_List_Olist_OCons(A,B,C),C).
% 77.96/78.05 ** KEPT (pick-wt=20): 508 [] 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).
% 77.96/78.05 ** KEPT (pick-wt=15): 510 [copy,509,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).
% 77.96/78.05 ---> New Demodulator: 511 [new_demod,510] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,511] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 77.96/78.05 ** KEPT (pick-wt=15): 512 [] c_List_Olist_Olist__case(A,B,c_List_Olist_OCons(C,D,E),F,E)=hAPP(hAPP(B,C),D).
% 77.96/78.05 ** KEPT (pick-wt=9): 513 [] c_List_Oremove1(A,c_List_Olist_OCons(A,B,C),C)=B.
% 77.96/78.05 ---> New Demodulator: 514 [new_demod,513] c_List_Oremove1(A,c_List_Olist_OCons(A,B,C),C)=B.
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,511] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,511] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 77.96/78.05 ** KEPT (pick-wt=30): 515 [] 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).
% 77.96/78.05 ---> New Demodulator: 516 [new_demod,515] 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).
% 77.96/78.05 ** KEPT (pick-wt=17): 517 [] c_List_Odrop(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Odrop(A,C,D),D,E).
% 77.96/78.05 ---> New Demodulator: 518 [new_demod,517] c_List_Odrop(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Odrop(A,C,D),D,E).
% 77.96/78.05 ** KEPT (pick-wt=21): 520 [copy,519,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).
% 77.96/78.05 ---> New Demodulator: 521 [new_demod,520] 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).
% 77.96/78.05 ** KEPT (pick-wt=15): 522 [] c_List_Omap(A,c_List_Oreplicate(B,C,D),D,E)=c_List_Oreplicate(B,hAPP(A,C),E).
% 77.96/78.05 ** KEPT (pick-wt=13): 523 [] 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)).
% 77.96/78.05 ** KEPT (pick-wt=17): 524 [] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 77.96/78.05 ---> New Demodulator: 525 [new_demod,524] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 77.96/78.05 ** KEPT (pick-wt=15): 526 [] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 77.96/78.05 ---> New Demodulator: 527 [new_demod,526] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 77.96/78.05 ** KEPT (pick-wt=17): 528 [] c_List_Otake(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Otake(A,C,D),D,E).
% 77.96/78.05 ---> New Demodulator: 529 [new_demod,528] c_List_Otake(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Otake(A,C,D),D,E).
% 77.96/78.05 ** KEPT (pick-wt=9): 530 [] c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 77.96/78.05 ** KEPT (pick-wt=20): 532 [copy,531,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).
% 77.96/78.05 ---> New Demodulator: 533 [new_demod,532] 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).
% 77.96/78.05 ** KEPT (pick-wt=21): 534 [] 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).
% 77.96/78.05 ** KEPT (pick-wt=9): 535 [] c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 77.96/78.05 ** KEPT (pick-wt=29): 536 [] 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)).
% 77.96/78.05 ** KEPT (pick-wt=10): 537 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),A)=B.
% 77.96/78.05 ---> New Demodulator: 538 [new_demod,537] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),A)=B.
% 77.96/78.05 ** KEPT (pick-wt=13): 539 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,A),B)),C),B)=A.
% 77.96/78.05 ---> New Demodulator: 540 [new_demod,539] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,A),B)),C),B)=A.
% 77.96/78.05 ** KEPT (pick-wt=5): 541 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 77.96/78.05 ** KEPT (pick-wt=4): 542 [] hBOOL(hAPP(c_InductTermi_OIT,v_ua______)).
% 77.96/78.05 ** KEPT (pick-wt=5): 543 [] c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 77.96/78.05 ** KEPT (pick-wt=41): 544 [] 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).
% 77.96/78.05 ** KEPT (pick-wt=14): 545 [] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 77.96/78.05 ** KEPT (pick-wt=20): 546 [] c_List_Olistsp(c_InductTermi_OIT,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_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 77.96/78.05 ** KEPT (pick-wt=19): 548 [copy,547,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).
% 77.96/78.05 ---> New Demodulator: 549 [new_demod,548] 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).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,549] 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).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [demod,549] 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).
% 77.96/78.05 ** KEPT (pick-wt=4): 550 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 77.96/78.05 ** KEPT (pick-wt=29): 551 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),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_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB).
% 77.96/78.05 ** KEPT (pick-wt=2): 552 [] class_Lattices_Olower__semilattice(tc_nat).
% 77.96/78.05 ** KEPT (pick-wt=2): 553 [] class_Divides_Osemiring__div(tc_nat).
% 77.96/78.05 ** KEPT (pick-wt=2): 554 [] class_Orderings_Opreorder(tc_nat).
% 77.96/78.05 ** KEPT (pick-wt=2): 555 [] class_Orderings_Olinorder(tc_nat).
% 77.96/78.05 ** KEPT (pick-wt=2): 556 [] class_Lattices_Olattice(tc_nat).
% 77.96/78.05 ** KEPT (pick-wt=2): 557 [] class_Orderings_Oorder(tc_nat).
% 77.96/78.05 ** KEPT (pick-wt=2): 558 [] class_Lattices_Olower__semilattice(tc_bool).
% 77.96/78.05 ** KEPT (pick-wt=2): 559 [] class_Orderings_Opreorder(tc_bool).
% 77.96/78.05 ** KEPT (pick-wt=2): 560 [] class_Lattices_Olattice(tc_bool).
% 77.96/78.05 ** KEPT (pick-wt=2): 561 [] class_Orderings_Oorder(tc_bool).
% 77.96/78.05 ** KEPT (pick-wt=2): 562 [] class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 563 [] class_Lattices_Olower__semilattice(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 564 [] class_OrderedGroup_Oab__group__add(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 565 [] class_OrderedGroup_Ogroup__add(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 566 [] class_Divides_Osemiring__div(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 567 [] class_Ring__and__Field_Oidom(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 568 [] class_Orderings_Opreorder(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 569 [] class_Orderings_Olinorder(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 570 [] class_Lattices_Olattice(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 571 [] class_Divides_Oring__div(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 572 [] class_Orderings_Oorder(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 573 [] class_Int_Oring__char__0(tc_Int_Oint).
% 77.96/78.05 ** KEPT (pick-wt=2): 574 [] class_Int_Onumber__ring(tc_Int_Oint).
% 77.96/78.05 Following clause subsumed by 545 during input processing: 0 [] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 77.96/78.05 ** KEPT (pick-wt=13): 575 [] c_COMBB(A,B,C,D,E,F)=hAPP(A,hAPP(B,C)).
% 77.96/78.05 ** KEPT (pick-wt=7): 576 [] hBOOL(hAPP(hAPP(c_fe_qual(A),B),B)).
% 77.96/78.05 Following clause subsumed by 331 during input processing: 0 [copy,331,flip.1] A=A.
% 77.96/78.05 331 back subsumes 324.
% 77.96/78.05 331 back subsumes 315.
% 77.96/78.05 331 back subsumes 313.
% 77.96/78.05 331 back subsumes 312.
% 77.96/78.05 331 back subsumes 311.
% 77.96/78.05 >>>> Starting back demodulation with 334.
% 77.96/78.05 >>>> Starting back demodulation with 337.
% 77.96/78.05 >>>> Starting back demodulation with 340.
% 77.96/78.05 >>>> Starting back demodulation with 344.
% 77.96/78.05 >>>> Starting back demodulation with 348.
% 77.96/78.05 349 back subsumes 314.
% 77.96/78.05 >>>> Starting back demodulation with 352.
% 77.96/78.05 ** KEPT (pick-wt=7): 577 [copy,353,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ominus__class_Ominus(A,A,tc_nat).
% 77.96/78.05 >>>> Starting back demodulation with 355.
% 77.96/78.05 Following clause subsumed by 357 during input processing: 0 [copy,357,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 77.96/78.05 >>>> Starting back demodulation with 362.
% 77.96/78.05 >>>> Starting back demodulation with 365.
% 77.96/78.05 >>>> Starting back demodulation with 368.
% 77.96/78.05 >>>> Starting back demodulation with 371.
% 77.96/78.05 >>>> Starting back demodulation with 373.
% 77.96/78.05 >>>> Starting back demodulation with 376.
% 77.96/78.05 >>>> Starting back demodulation with 379.
% 77.96/78.05 ** KEPT (pick-wt=23): 578 [copy,380,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).
% 77.96/78.05 >>>> Starting back demodulation with 382.
% 77.96/78.05 >>>> Starting back demodulation with 384.
% 77.96/78.05 >>>> Starting back demodulation with 386.
% 77.96/78.05 >> back demodulating 225 with 386.
% 77.96/78.05 >>>> Starting back demodulation with 388.
% 77.96/78.05 >>>> Starting back demodulation with 390.
% 77.96/78.05 >>>> Starting back demodulation with 392.
% 77.96/78.05 >>>> Starting back demodulation with 395.
% 77.96/78.05 ** KEPT (pick-wt=19): 579 [copy,397,flip.1] c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,tc_nat),c_List_Orev(A,B),B)=c_List_Orev(c_List_Odrop(C,A,B),B).
% 77.96/78.05 ** KEPT (pick-wt=19): 580 [copy,398,flip.1] c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,tc_nat),c_List_Orev(A,B),B)=c_List_Orev(c_List_Otake(C,A,B),B).
% 77.96/78.05 >>>> Starting back demodulation with 402.
% 77.96/78.05 >>>> Starting back demodulation with 405.
% 77.96/78.05 >>>> Starting back demodulation with 407.
% 77.96/78.05 >>>> Starting back demodulation with 411.
% 77.96/78.05 ** KEPT (pick-wt=17): 581 [copy,413,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).
% 77.96/78.05 >>>> Starting back demodulation with 415.
% 77.96/78.05 >> back demodulating 410 with 415.
% 77.96/78.05 >>>> Starting back demodulation with 417.
% 77.96/78.05 Following clause subsumed by 418 during input processing: 0 [copy,418,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)).
% 77.96/78.05 >>>> Starting back demodulation with 422.
% 77.96/78.05 >>>> Starting back demodulation with 424.
% 77.96/78.05 >>>> Starting back demodulation with 426.
% 77.96/78.05 >>>> Starting back demodulation with 428.
% 77.96/78.05 >>>> Starting back demodulation with 430.
% 77.96/78.05 >>>> Starting back demodulation with 432.
% 77.96/78.05 Following clause subsumed by 433 during input processing: 0 [copy,433,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).
% 77.96/78.05 Following clause subsumed by 463 during input processing: 0 [copy,434,flip.1] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 77.96/78.05 >>>> Starting back demodulation with 436.
% 77.96/78.05 >> back demodulating 120 with 436.
% 77.96/78.05 >>>> Starting back demodulation with 438.
% 77.96/78.05 ** KEPT (pick-wt=14): 582 [copy,439,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).
% 77.96/78.05 >>>> Starting back demodulation with 441.
% 77.96/78.05 ** KEPT (pick-wt=19): 583 [copy,442,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).
% 77.96/78.05 >>>> Starting back demodulation with 445.
% 77.96/78.05 >>>> Starting back demodulation with 447.
% 77.96/78.05 >> back demodulating 431 with 447.
% 77.96/78.05 ** KEPT (pick-wt=21): 585 [copy,448,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).
% 77.96/78.05 >>>> Starting back demodulation with 450.
% 77.96/78.05 >>>> Starting back demodulation with 453.
% 77.96/78.05 Following clause subsumed by 455 during input processing: 0 [copy,455,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)).
% 77.96/78.05 >>>> Starting back demodulation with 457.
% 77.96/78.05 >>>> Starting back demodulation with 459.
% 77.96/78.05 >>>> Starting back demodulation with 461.
% 77.96/78.05 Following clause subsumed by 434 during input processing: 0 [copy,463,flip.1] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 77.96/78.05 Following clause subsumed by 465 during input processing: 0 [copy,465,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).
% 77.96/78.05 >>>> Starting back demodulation with 470.
% 77.96/78.05 ** KEPT (pick-wt=8): 586 [copy,471,flip.1] c_List_Olist_ONil(A)=c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 77.96/78.05 >>>> Starting back demodulation with 474.
% 77.96/78.05 >>>> Starting back demodulation with 476.
% 77.96/78.05 >>>> Starting back demodulation with 478.
% 77.96/78.05 >>>> Starting back demodulation with 481.
% 77.96/78.05 ** KEPT (pick-wt=22): 587 [copy,482,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).
% 77.96/78.05 >>>> Starting back demodulation with 484.
% 77.96/78.05 >>>> Starting back demodulation with 486.
% 77.96/78.05 >> back demodulating 330 with 486.
% 77.96/78.05 >> back demodulating 327 with 486.
% 77.96/78.05 ** KEPT (pick-wt=10): 588 [copy,488,flip.1] c_List_Olist_ONil(A)=c_List_Omap__filter(B,C,c_List_Olist_ONil(D),D,A).
% 77.96/78.05 >>>> Starting back demodulation with 491.
% 77.96/78.05 >>>> Starting back demodulation with 493.
% 77.96/78.05 >>>> Starting back demodulation with 495.
% 77.96/78.05 >>>> Starting back demodulation with 498.
% 77.96/78.05 >>>> Starting back demodulation with 501.
% 77.96/78.05 >>>> Starting back demodulation with 503.
% 77.96/78.05 ** KEPT (pick-wt=20): 589 [copy,508,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).
% 77.96/78.05 >>>> Starting back demodulation with 511.
% 77.96/78.05 >> back demodulating 490 with 511.
% 77.96/78.05 ** KEPT (pick-wt=15): 591 [copy,512,flip.1] hAPP(hAPP(A,B),C)=c_List_Olist_Olist__case(D,A,c_List_Olist_OCons(B,C,E),F,E).
% 77.96/78.05 >>>> Starting back demodulation with 514.
% 77.96/78.05 >>>> Starting back demodulation with 516.
% 77.96/78.05 >>>> Starting back demodulation with 518.
% 77.96/78.05 >>>> Starting back demodulation with 521.
% 77.96/78.05 ** KEPT (pick-wt=15): 592 [copy,522,flip.1] c_List_Oreplicate(A,hAPP(B,C),D)=c_List_Omap(B,c_List_Oreplicate(A,C,E),E,D).
% 77.96/78.05 ** KEPT (pick-wt=13): 593 [copy,523,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)).
% 77.96/78.05 >>>> Starting back demodulation with 525.
% 77.96/78.05 >>>> Starting back demodulation with 527.
% 77.96/78.05 >>>> Starting back demodulation with 529.
% 77.96/78.05 Following clause subsumed by 535 during input processing: 0 [copy,530,flip.1] c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 77.96/78.05 >>>> Starting back demodulation with 533.
% 77.96/78.05 ** KEPT (pick-wt=21): 594 [copy,534,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).
% 77.96/78.05 Following clause subsumed by 530 during input processing: 0 [copy,535,flip.1] c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 77.96/78.05 ** KEPT (pick-wt=29): 595 [copy,536,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).
% 77.96/78.05 >>>> Starting back demodulation with 538.
% 77.96/78.05 >>>> Starting back demodulation with 540.
% 77.96/78.05 ** KEPT (pick-wt=41): 596 [copy,544,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).
% 77.96/78.05 ** KEPT (pick-wt=14): 597 [copy,545,flip.1] hAPP(hAPP(A,B),C)=hAPP(c_COMBC(A,C,D,E,F),B).
% 77.96/78.05 >>>> Starting back demodulation with 549.
% 77.96/78.05 ** KEPT (pick-wt=13): 598 [copy,575,flip.1] hAPP(A,hAPP(B,C))=c_COMBB(A,B,C,D,E,F).
% 77.96/78.05 Following clause subsumed by 353 during input processing: 0 [copy,577,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 77.96/78.05 Following clause subsumed by 380 during input processing: 0 [copy,578,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)).
% 77.96/78.05 Following clause subsumed by 397 during input processing: 0 [copy,579,flip.1] c_List_Orev(c_List_Odrop(A,B,C),C)=c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 77.96/78.05 Following clause subsumed by 398 during input processing: 0 [copy,580,flip.1] c_List_Orev(c_List_Otake(A,B,C),C)=c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 77.96/78.05 Following clause subsumed by 413 during input processing: 0 [copy,581,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).
% 77.96/78.05 Following clause subsumed by 439 during input processing: 0 [copy,582,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).
% 77.96/78.05 Following clause subsumed by 442 during input processing: 0 [copy,583,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).
% 77.96/78.05 ** KEPT (pick-wt=13): 599 [copy,584,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).
% 77.96/78.05 Following clause subsumed by 448 during input processing: 0 [copy,585,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).
% 77.96/78.05 Following clause subsumed by 471 during input processing: 0 [copy,586,flip.1] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 77.96/78.05 Following clause subsumed by 482 during input processing: 0 [copy,587,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).
% 77.96/78.05 Following clause subsumed by 488 during input processing: 0 [copy,588,flip.1] c_List_Omap__filter(A,B,c_List_Olist_ONil(C),C,D)=c_List_Olist_ONil(D).
% 77.96/78.05 Following clause subsumed by 508 during input processing: 0 [copy,589,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).
% 77.96/78.05 ** KEPT (pick-wt=21): 600 [copy,590,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).
% 77.96/78.05 Following clause subsumed by 512 during input processing: 0 [copy,591,flip.1] c_List_Olist_Olist__case(A,B,c_List_Olist_OCons(C,D,E),F,E)=hAPP(hAPP(B,C),D).
% 77.96/78.05 Following clause subsumed by 522 during input processing: 0 [copy,592,flip.1] c_List_Omap(A,c_List_Oreplicate(B,C,D),D,E)=c_List_Oreplicate(B,hAPP(A,C),E).
% 77.96/78.05 Following clause subsumed by 523 during input processing: 0 [copy,593,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)).
% 77.96/78.05 Following clause subsumed by 534 during input processing: 0 [copy,594,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).
% 77.96/78.05 Following clause subsumed by 536 during input processing: 0 [copy,595,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)).
% 77.96/78.05 Following clause subsumed by 544 during input processing: 0 [copy,596,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).
% 77.96/78.05 Following clause subsumed by 545 during input processing: 0 [copy,597,flip.1] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 77.96/78.05 Following clause subsumed by 575 during input processing: 0 [copy,598,flip.1] c_COMBB(A,B,C,D,E,F)=hAPP(A,hAPP(B,C)).
% 77.96/78.05 Following clause subsumed by 584 during input processing: 0 [copy,599,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).
% 77.96/78.05 Following clause subsumed by 590 during input processing: 0 [copy,600,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).
% 78.13/78.22
% 78.13/78.22 ======= end of input processing =======
% 78.13/78.22
% 78.13/78.22 =========== start of search ===========
% 78.13/78.22
% 78.13/78.22
% 78.13/78.22 Resetting weight limit to 2.
% 78.13/78.22
% 78.13/78.22
% 78.13/78.22 Resetting weight limit to 2.
% 78.13/78.22
% 78.13/78.22 sos_size=177
% 78.13/78.22
% 78.13/78.22 Search stopped in tp_alloc by max_mem option.
% 78.13/78.22
% 78.13/78.22 Search stopped in tp_alloc by max_mem option.
% 78.13/78.22
% 78.13/78.22 ============ end of search ============
% 78.13/78.22
% 78.13/78.22 -------------- statistics -------------
% 78.13/78.22 clauses given 91
% 78.13/78.22 clauses generated 17328
% 78.13/78.22 clauses kept 486
% 78.13/78.22 clauses forward subsumed 89
% 78.13/78.22 clauses back subsumed 7
% 78.13/78.22 Kbytes malloced 11718
% 78.13/78.22
% 78.13/78.22 ----------- times (seconds) -----------
% 78.13/78.22 user CPU time 0.23 (0 hr, 0 min, 0 sec)
% 78.13/78.22 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 78.13/78.22 wall-clock time 78 (0 hr, 1 min, 18 sec)
% 78.13/78.22
% 78.13/78.22 Process 4912 finished Wed Jul 27 09:20:27 2022
% 78.13/78.22 Otter interrupted
% 78.13/78.22 PROOF NOT FOUND
%------------------------------------------------------------------------------