TSTP Solution File: LCL824-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL824-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 13:05:32 EDT 2022
% Result : Unknown 87.21s 87.29s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL824-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 09:08:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 87.11/87.27 ----- Otter 3.3f, August 2004 -----
% 87.11/87.27 The process was started by sandbox on n021.cluster.edu,
% 87.11/87.27 Wed Jul 27 09:08:23 2022
% 87.11/87.27 The command was "./otter". The process ID is 2832.
% 87.11/87.27
% 87.11/87.27 set(prolog_style_variables).
% 87.11/87.27 set(auto).
% 87.11/87.27 dependent: set(auto1).
% 87.11/87.27 dependent: set(process_input).
% 87.11/87.27 dependent: clear(print_kept).
% 87.11/87.27 dependent: clear(print_new_demod).
% 87.11/87.27 dependent: clear(print_back_demod).
% 87.11/87.27 dependent: clear(print_back_sub).
% 87.11/87.27 dependent: set(control_memory).
% 87.11/87.27 dependent: assign(max_mem, 12000).
% 87.11/87.27 dependent: assign(pick_given_ratio, 4).
% 87.11/87.27 dependent: assign(stats_level, 1).
% 87.11/87.27 dependent: assign(max_seconds, 10800).
% 87.11/87.27 clear(print_given).
% 87.11/87.27
% 87.11/87.27 list(usable).
% 87.11/87.27 0 [] A=A.
% 87.11/87.27 0 [] c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=V_m.
% 87.11/87.27 0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 87.11/87.27 0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 87.11/87.27 0 [] c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat)=c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat).
% 87.11/87.27 0 [] V_m=V_n| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 87.11/87.27 0 [] V_n=V_m| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 87.11/87.27 0 [] c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_j,V_k,tc_nat).
% 87.11/87.27 0 [] c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)=V_m| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 87.11/87.27 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_nat).
% 87.11/87.27 0 [] -c_HOL_Oord__class_Oless(V_n,V_n,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 87.11/87.27 0 [] V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.11/87.27 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] V_m=V_n| -c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)|V_m=V_n.
% 87.11/87.27 0 [] hBOOL(hAPP(hAPP(V_P,V_n),V_m))|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)|V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 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.
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)|V_x=V_y.
% 87.11/87.27 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).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_b,V_x,T_a).
% 87.11/87.27 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_a,V_x,T_a).
% 87.11/87.27 0 [] c_lesse_quals(V_x,V_y,tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] c_Suc(V_nat_H)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 0 [] c_Suc(V_m)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 87.11/87.27 0 [] c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a)=c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 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.
% 87.11/87.27 0 [] c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat)=c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))| -c_lesse_quals(V_n,V_m,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)| -c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(c_Suc(V_m),V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_m).
% 87.11/87.27 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_nat_H).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 87.11/87.27 0 [] c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat)=c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))|c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))=V_n.
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat).
% 87.11/87.27 0 [] -c_lesse_quals(V_x,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 87.11/87.27 0 [] -c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.11/87.27 0 [] -c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|c_lesse_quals(V_x,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)| -c_lesse_quals(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a)=V_a.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat).
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat)| -c_lesse_quals(V_c,V_a,tc_nat)| -c_HOL_Oord__class_Oless(V_a,V_b,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)|c_Suc(V_m)=V_n| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] -c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_n),V_m,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(c_Suc(V_n),V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))!=V_n|c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_n),tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 0 [] V_m=c_Suc(V_n)|c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(V_m,c_Suc(V_n),tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 87.11/87.27 0 [] -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|V_xs=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_Lambda_OdB_OAbs(V_r)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 87.11/87.27 0 [] c_Lambda_OdB_OAbs(V_r)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 87.11/87.27 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(V_r)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 87.11/87.27 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)| -class_Int_Onumber(T_a)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)| -c_lesse_quals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)| -class_Int_Onumber(T_a)|c_lesse_quals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),V_i),V_T),V_j)=hAPP(V_e,V_j)| -c_HOL_Oord__class_Oless(V_j,V_i,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(V_m,V_n,tc_nat)| -c_lesse_quals(c_Suc(V_m),V_n,tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(V_m,c_Suc(V_n),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] -c_lesse_quals(c_Suc(V_n),V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_lesse_quals(V_k,V_n,tc_nat)| -c_lesse_quals(V_k,V_m,tc_nat).
% 87.11/87.27 0 [] c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a)=hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)).
% 87.11/87.27 0 [] c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_Type_Otype_OFun(V_type1,V_type2)!=c_Type_Otype_OFun(V_type1_H,V_type2_H)|V_type2=V_type2_H.
% 87.11/87.27 0 [] c_Type_Otype_OFun(V_type1,V_type2)!=c_Type_Otype_OFun(V_type1_H,V_type2_H)|V_type1=V_type1_H.
% 87.11/87.27 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.11/87.27 0 [] c_Suc(V_n)!=V_n.
% 87.11/87.27 0 [] V_n!=c_Suc(V_n).
% 87.11/87.27 0 [] c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat)=c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat).
% 87.11/87.27 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)).
% 87.11/87.27 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))).
% 87.11/87.27 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).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_lesse_quals(V_n,V_n,tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_lesse_quals(V_x,V_x,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))| -c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)| -hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))).
% 87.11/87.27 0 [] V_n=V_m| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=V_n| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -c_lesse_quals(V_b,V_a,T_a).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_lesse_quals(V_b,V_a,T_a)|V_a=V_b.
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)|V_m=V_n| -c_lesse_quals(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_lesse_quals(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)|V_m=V_n| -c_lesse_quals(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -c_lesse_quals(V_a,V_b,T_a).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a)|V_a=V_b.
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 87.11/87.27 0 [] c_lesse_quals(V_n,V_m,tc_nat)| -c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat).
% 87.11/87.27 0 [] c_lesse_quals(c_Suc(V_n),c_Suc(V_m),tc_nat)| -c_lesse_quals(V_n,V_m,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 87.11/87.27 0 [] c_lesse_quals(V_n,V_m,tc_nat)|c_lesse_quals(V_m,V_n,tc_nat).
% 87.11/87.27 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 87.11/87.27 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 87.11/87.27 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a)=c_List_Oappend(V_xs,c_List_Olist__update(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_x,T_a),T_a)|c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 87.11/87.27 0 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a))=c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))).
% 87.11/87.27 0 [] c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a).
% 87.11/87.27 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)=V_t.
% 87.11/87.27 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 87.11/87.27 0 [] c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Odrop(V_n,V_xs,T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a)=c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a).
% 87.11/87.27 0 [] c_List_Oreplicate(c_Suc(V_n),V_x,T_a)=c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a).
% 87.11/87.27 0 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_U))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),V_t),V_T))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),V_s),c_Type_Otype_OFun(V_T,V_U))).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)|hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x)=V_s.
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k)=c_Lambda_OdB_OVar(V_i)|V_i=V_k|c_HOL_Oord__class_Oless(V_k,V_i,tc_nat).
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i)=c_Lambda_OdB_OVar(V_j)| -c_HOL_Oord__class_Oless(V_j,V_i,tc_nat).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(c_Type_Oshift(T_a),hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),V_i),V_U)),c_HOL_Ozero__class_Ozero(tc_nat)),V_T)=hAPP(hAPP(hAPP(c_Type_Oshift(T_a),hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),c_HOL_Ozero__class_Ozero(tc_nat)),V_T)),c_Suc(V_i)),V_U).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k)=c_Lambda_OdB_OVar(V_i)| -c_HOL_Oord__class_Oless(V_i,V_k,tc_nat).
% 87.11/87.27 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)))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_u),V_T1))| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_T1)),V_t),V_Ta))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 87.11/87.27 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)))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_u),V_T2))| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_T2)),V_t),V_Ta))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 87.11/87.27 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(V_r).
% 87.11/87.27 0 [] V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)|V_a=c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))|V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 0 [] V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))|V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)=c_List_Ofoldl(hAPP(c_COMBC(T_b,T_a,T_a),V_f),V_a,c_List_Orev(V_xs,T_b),T_a,T_b).
% 87.11/87.27 0 [] c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b)=c_List_Ofoldr(hAPP(c_COMBC(T_a,T_b,T_a),V_f),c_List_Orev(V_xs,T_b),V_a,T_b,T_a).
% 87.11/87.27 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a)=c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 87.11/87.27 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a)=c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 87.11/87.27 0 [] c_Lambda_OdB_OVar(V_m)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 87.11/87.27 0 [] c_Lambda_OdB_OVar(V_m)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 87.11/87.27 0 [] c_List_Olist__update(V_xs,V_i,V_a,T_a)=c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(V_a,c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 87.11/87.27 0 [] c_List_Omap(c_COMBK(V_k,T_a,T_b),V_lst,T_b,T_a)=c_List_Oreplicate(c_Nat_Osize__class_Osize(V_lst,tc_List_Olist(T_b)),V_k,T_a).
% 87.11/87.27 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.
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))|V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))|V_a=c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))|V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 0 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)).
% 87.11/87.27 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))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)).
% 87.11/87.27 0 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),c_Lambda_OdB_OAbs(V_t)),c_Type_Otype_OFun(V_T,V_U)))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_env),c_HOL_Ozero__class_Ozero(tc_nat)),V_T)),V_t),V_U)).
% 87.11/87.27 0 [] V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 0 [] V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)|V_a=c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 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).
% 87.11/87.27 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))| -hBOOL(hAPP(hAPP(hAPP(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)).
% 87.11/87.27 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))| -hBOOL(hAPP(hAPP(hAPP(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)| -hBOOL(hAPP(hAPP(hAPP(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)).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))|V_a=c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))|V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))|V_a=c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))|V_a=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 0 [] c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))|V_a=c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 0 [] c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Oappend(V_xs,V_zs,T_a)|V_ys=V_zs.
% 87.11/87.27 0 [] c_List_Oappend(V_ys,V_xs,T_a)!=c_List_Oappend(V_zs,V_xs,T_a)|V_ys=V_zs.
% 87.11/87.27 0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_m=V_n.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=V_xs.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_env),c_Lambda_OdB_OVar(V_x)),hAPP(V_env,V_x))).
% 87.11/87.27 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.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 87.11/87.27 0 [] c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 87.11/87.27 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a).
% 87.11/87.27 0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 87.11/87.27 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 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).
% 87.11/87.27 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e_H),V_u),V_U))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e_H),V_i),V_U)),V_t),V_T))|hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e_H),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)),V_T)).
% 87.11/87.27 0 [] c_List_Olist_ONil(T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 87.11/87.27 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)).
% 87.11/87.27 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)).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 87.11/87.27 0 [] c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))| -c_Lambda_Obeta(V_s,V_t).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Orev(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 87.11/87.27 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 87.11/87.27 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).
% 87.11/87.27 0 [] V_x=c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a).
% 87.11/87.27 0 [] V_xs=c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a).
% 87.11/87.27 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 87.11/87.27 0 [] V_ys=c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a).
% 87.11/87.27 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 87.11/87.27 0 [] c_List_Odistinct(V_ys,T_a)| -c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 87.11/87.27 0 [] V_xs=c_List_Orev(c_List_Orev(V_xs,T_a),T_a).
% 87.11/87.27 0 [] c_List_Orev(c_List_Orev(V_ys,T_a),T_a)=V_ys.
% 87.11/87.27 0 [] c_List_Orev(c_List_Orev(V_xs,T_a),T_a)=V_xs.
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 0 [] c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hAPP(V_e,V_i)=V_T| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),c_Lambda_OdB_OVar(V_i)),V_T)).
% 87.11/87.27 0 [] c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 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)).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 87.11/87.27 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))).
% 87.11/87.27 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(T_a),V_e),V_x),V_T),V_x)=V_T.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 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)).
% 87.11/87.27 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 87.11/87.27 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_ys=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a))=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 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.
% 87.11/87.27 0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 87.11/87.27 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.
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 0 [] c_List_Olist_ONil(T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a).
% 87.11/87.27 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))).
% 87.11/87.27 0 [] V_T=V_U| -hBOOL(hAPP(hAPP(hAPP(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))| -hBOOL(hAPP(hAPP(hAPP(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)).
% 87.11/87.27 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).
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 87.11/87.27 0 [] c_List_Odistinct(c_List_Olist_ONil(T_a),T_a).
% 87.11/87.27 0 [] -c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t).
% 87.11/87.27 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Orev(V_xs,T_a)!=c_List_Orev(V_ys,T_a)|V_xs=V_ys.
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Odistinct(V_xs,T_a)| -c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a).
% 87.11/87.27 0 [] c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a)| -c_List_Odistinct(V_xs,T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a))=V_n.
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Olist_ONil(T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 0 [] c_List_Orotate(V_n,V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] V_xs!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_ys|V_xs=c_List_Olist_ONil(T_a).
% 87.11/87.27 0 [] V_ys!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 87.11/87.27 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).
% 87.11/87.27 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 87.11/87.27 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 87.11/87.27 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).
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 0 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t_H),V_T))| -c_Lambda_Obeta(V_t,V_t_H)| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),V_T)).
% 87.11/87.27 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 87.11/87.27 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.
% 87.11/87.27 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 87.11/87.27 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 87.11/87.27 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Olist_ONil(T_a)=c_List_Orev(c_List_Olist_ONil(T_a),T_a).
% 87.11/87.27 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)).
% 87.11/87.27 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)).
% 87.11/87.27 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.
% 87.11/87.27 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.
% 87.11/87.27 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_U)),hAPP(hAPP(c_Lambda_Olift,V_t),V_i)),V_T))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_t),V_T)).
% 87.11/87.27 0 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)| -c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB).
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k)=V_u.
% 87.11/87.27 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.
% 87.11/87.27 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)).
% 87.11/87.27 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).
% 87.11/87.27 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))).
% 87.11/87.27 0 [] hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_i)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_t),V_i),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 87.11/87.27 0 [] c_List_Odistinct(V_xs,T_b)| -c_List_Odistinct(c_List_Omap(V_f,V_xs,T_b,T_a),T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_a)).
% 87.11/87.27 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)).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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)).
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u),V_i)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),V_u)),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 87.11/87.27 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).
% 87.11/87.27 0 [] v_n____!=v_i____.
% 87.11/87.27 0 [] c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_ua______)).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 87.11/87.27 0 [] c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a)=c_List_Olist_ONil(T_a).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_Type_Otypings(V_e,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),V_u)),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)| -c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_T),V_ts,V_Ts)| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_e),V_u),V_T)).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 87.11/87.27 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 87.11/87.27 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).
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_e),V_i),V_U),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)| -c_Type_Otypings(V_e,V_ts,V_Ts).
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k)=V_t.
% 87.11/87.27 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).
% 87.11/87.27 0 [] c_List_Olist_ONil(T_a)=c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a).
% 87.11/87.27 0 [] c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)))),v_rs____,tc_Lambda_OdB).
% 87.11/87.27 0 [] -c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 87.11/87.27 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 87.11/87.27 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 87.11/87.27 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 87.11/87.27 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 87.11/87.27 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 87.11/87.27 0 [] class_Divides_Osemiring__div(tc_nat).
% 87.11/87.27 0 [] class_Orderings_Opreorder(tc_nat).
% 87.11/87.27 0 [] class_Orderings_Olinorder(tc_nat).
% 87.11/87.27 0 [] class_Lattices_Olattice(tc_nat).
% 87.11/87.27 0 [] class_Orderings_Oorder(tc_nat).
% 87.11/87.27 0 [] class_Int_Onumber(tc_nat).
% 87.11/87.27 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 87.11/87.27 0 [] class_Orderings_Opreorder(tc_bool).
% 87.11/87.27 0 [] class_Lattices_Olattice(tc_bool).
% 87.11/87.27 0 [] class_Orderings_Oorder(tc_bool).
% 87.11/87.27 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint).
% 87.11/87.27 0 [] class_Ring__and__Field_Oordered__idom(tc_Int_Oint).
% 87.11/87.27 0 [] class_Lattices_Olower__semilattice(tc_Int_Oint).
% 87.11/87.27 0 [] class_OrderedGroup_Oab__group__add(tc_Int_Oint).
% 87.11/87.27 0 [] class_OrderedGroup_Ogroup__add(tc_Int_Oint).
% 87.11/87.27 0 [] class_Divides_Osemiring__div(tc_Int_Oint).
% 87.11/87.27 0 [] class_Ring__and__Field_Oidom(tc_Int_Oint).
% 87.11/87.27 0 [] class_Orderings_Opreorder(tc_Int_Oint).
% 87.11/87.27 0 [] class_Orderings_Olinorder(tc_Int_Oint).
% 87.11/87.27 0 [] class_Lattices_Olattice(tc_Int_Oint).
% 87.11/87.27 0 [] class_Divides_Oring__div(tc_Int_Oint).
% 87.11/87.27 0 [] class_Orderings_Oorder(tc_Int_Oint).
% 87.11/87.27 0 [] class_Int_Oring__char__0(tc_Int_Oint).
% 87.11/87.27 0 [] class_Int_Onumber__ring(tc_Int_Oint).
% 87.11/87.27 0 [] class_Int_Onumber(tc_Int_Oint).
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 87.11/87.27 0 [] hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 87.11/87.27 0 [] c_fe_qual(V_x,V_x,T_a).
% 87.11/87.27 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 87.11/87.27 end_of_list.
% 87.11/87.27
% 87.11/87.27 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 87.11/87.27
% 87.11/87.27 This ia a non-Horn set with equality. The strategy will be
% 87.11/87.27 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 87.11/87.27 deletion, with positive clauses in sos and nonpositive
% 87.11/87.27 clauses in usable.
% 87.11/87.27
% 87.11/87.27 dependent: set(knuth_bendix).
% 87.11/87.27 dependent: set(anl_eq).
% 87.11/87.27 dependent: set(para_from).
% 87.11/87.27 dependent: set(para_into).
% 87.11/87.27 dependent: clear(para_from_right).
% 87.11/87.27 dependent: clear(para_into_right).
% 87.11/87.27 dependent: set(para_from_vars).
% 87.11/87.27 dependent: set(eq_units_both_ways).
% 87.11/87.27 dependent: set(dynamic_demod_all).
% 87.11/87.27 dependent: set(dynamic_demod).
% 87.11/87.27 dependent: set(order_eq).
% 87.11/87.27 dependent: set(back_demod).
% 87.11/87.27 dependent: set(lrpo).
% 87.11/87.27 dependent: set(hyper_res).
% 87.11/87.27 dependent: set(unit_deletion).
% 87.11/87.27 dependent: set(factor).
% 87.11/87.27
% 87.11/87.27 ------------> process usable:
% 87.11/87.27 ** KEPT (pick-wt=8): 1 [] c_Suc(A)!=c_Suc(B)|A=B.
% 87.11/87.27 Following clause subsumed by 1 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 87.11/87.27 ** KEPT (pick-wt=16): 3 [copy,2,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).
% 87.11/87.27 ** KEPT (pick-wt=12): 4 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=12): 5 [] A=B| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 87.11/87.27 Following clause subsumed by 4 during input processing: 0 [] A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=11): 6 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=10): 7 [] c_Divides_Odiv__class_Omod(A,B,tc_nat)=A| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=14): 8 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 87.11/87.27 ** KEPT (pick-wt=4): 9 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 87.11/87.27 Following clause subsumed by 9 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=6): 10 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 87.11/87.27 ** KEPT (pick-wt=6): 11 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 87.11/87.27 ** KEPT (pick-wt=6): 12 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 87.11/87.27 ** KEPT (pick-wt=9): 13 [] A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=13): 14 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 87.11/87.27 ** KEPT (pick-wt=13): 15 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 87.11/87.27 ** KEPT (pick-wt=11): 16 [] A=B| -c_lesse_quals(B,A,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=17): 17 [] 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.
% 87.11/87.27 ** KEPT (pick-wt=13): 18 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 87.11/87.27 Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 87.11/87.27 Following clause subsumed by 18 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 87.11/87.27 Following clause subsumed by 18 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 87.11/87.27 Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 87.11/87.27 Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 87.11/87.27 ** KEPT (pick-wt=35): 19 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=14): 20 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=14): 21 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=13): 22 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 87.11/87.27 ** KEPT (pick-wt=13): 23 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 87.11/87.27 ** KEPT (pick-wt=8): 24 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 Following clause subsumed by 24 during input processing: 0 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=10): 25 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 87.11/87.27 ** KEPT (pick-wt=10): 26 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 87.11/87.27 ** KEPT (pick-wt=5): 27 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 Following clause subsumed by 27 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=14): 28 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 87.11/87.27 ** KEPT (pick-wt=11): 29 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=9): 30 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 87.11/87.27 ** KEPT (pick-wt=9): 31 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 87.11/87.27 Following clause subsumed by 30 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 87.11/87.27 ** KEPT (pick-wt=9): 32 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 87.11/87.27 ** KEPT (pick-wt=18): 33 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(C,A,tc_nat)| -c_HOL_Oord__class_Oless(C,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=12): 34 [] c_lesse_quals(c_Divides_Odiv__class_Omod(A,B,tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 35 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 87.11/87.27 ** KEPT (pick-wt=9): 36 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 87.11/87.27 ** KEPT (pick-wt=15): 38 [copy,37,flip.1] c_Suc(c_HOL_Ominus__class_Ominus(A,B,tc_nat))=c_HOL_Ominus__class_Ominus(c_Suc(A),B,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 39 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 40 [] c_lesse_quals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 Following clause subsumed by 39 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 87.11/87.27 Following clause subsumed by 40 during input processing: 0 [] c_lesse_quals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 Following clause subsumed by 27 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 Following clause subsumed by 27 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=11): 41 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=11): 42 [] c_HOL_Ominus__class_Ominus(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_lesse_quals(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=14): 43 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=10): 44 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 87.11/87.27 ** KEPT (pick-wt=10): 45 [] A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 46 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 47 [] c_lesse_quals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 87.11/87.27 Following clause subsumed by 46 during input processing: 0 [] -c_lesse_quals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=14): 48 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 87.11/87.27 ** KEPT (pick-wt=14): 49 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 87.11/87.27 ** KEPT (pick-wt=5): 50 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.11/87.27 Following clause subsumed by 50 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=20): 52 [copy,51,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).
% 87.11/87.27 ** KEPT (pick-wt=20): 54 [copy,53,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).
% 87.11/87.27 ** KEPT (pick-wt=12): 55 [] c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(A,B,tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=10): 56 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 87.11/87.27 Following clause subsumed by 11 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 87.11/87.27 Following clause subsumed by 56 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 87.11/87.27 ** KEPT (pick-wt=10): 57 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 87.11/87.27 Following clause subsumed by 56 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 87.11/87.27 Following clause subsumed by 57 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 87.11/87.27 Following clause subsumed by 56 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 87.11/87.27 ** KEPT (pick-wt=10): 58 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 87.11/87.27 ** KEPT (pick-wt=14): 59 [] 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).
% 87.11/87.27 ** KEPT (pick-wt=14): 60 [] 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).
% 87.11/87.27 Following clause subsumed by 60 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).
% 87.11/87.27 ** KEPT (pick-wt=22): 61 [] 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).
% 87.11/87.27 ** KEPT (pick-wt=14): 62 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 87.11/87.27 ** KEPT (pick-wt=14): 63 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 87.11/87.27 ** KEPT (pick-wt=20): 64 [] 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.
% 87.11/87.27 ** KEPT (pick-wt=14): 65 [] -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.
% 87.11/87.27 ** KEPT (pick-wt=12): 66 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 87.11/87.27 ** KEPT (pick-wt=12): 67 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 87.11/87.27 ** KEPT (pick-wt=12): 68 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 87.11/87.27 ** KEPT (pick-wt=14): 69 [] -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.
% 87.11/87.27 ** KEPT (pick-wt=12): 70 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 87.11/87.27 ** KEPT (pick-wt=12): 71 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 87.11/87.27 ** KEPT (pick-wt=23): 72 [] 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).
% 87.11/87.27 ** KEPT (pick-wt=18): 73 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_lesse_quals(B,A,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=13): 74 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)|c_Suc(A)=B| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 75 [] -c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(B),A,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=23): 77 [copy,76,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).
% 87.11/87.27 ** KEPT (pick-wt=15): 78 [] c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat))!=B|c_Divides_Odiv__class_Omod(c_Suc(A),B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=13): 79 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=13): 80 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=13): 81 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=13): 82 [] -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).
% 87.11/87.27 Following clause subsumed by 79 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).
% 87.11/87.27 Following clause subsumed by 80 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).
% 87.11/87.27 ** KEPT (pick-wt=13): 83 [] 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).
% 87.11/87.27 ** KEPT (pick-wt=13): 84 [] A=c_Suc(B)|c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(A,c_Suc(B),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 85 [] -c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=10): 86 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=10): 87 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat).
% 87.11/87.27 Following clause subsumed by 86 during input processing: 0 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 88 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A)),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=20): 89 [] 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).
% 87.11/87.27 ** KEPT (pick-wt=14): 90 [] 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).
% 87.11/87.27 ** KEPT (pick-wt=14): 91 [] 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).
% 87.11/87.27 ** KEPT (pick-wt=28): 92 [] 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).
% 87.11/87.27 ** KEPT (pick-wt=28): 94 [copy,93,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).
% 87.11/87.27 ** KEPT (pick-wt=13): 95 [] c_Lambda_OdB_OAbs(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|C=c_List_Olist_ONil(tc_Lambda_OdB).
% 87.11/87.27 ** KEPT (pick-wt=13): 96 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(C)|B=c_List_Olist_ONil(tc_Lambda_OdB).
% 87.11/87.27 ** KEPT (pick-wt=14): 97 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 87.11/87.27 ** KEPT (pick-wt=13): 98 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(C,B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 87.11/87.27 Following clause subsumed by 57 during input processing: 0 [] -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lesse_quals(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 87.11/87.27 Following clause subsumed by 56 during input processing: 0 [] -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|c_lesse_quals(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 87.11/87.27 ** KEPT (pick-wt=9): 99 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 87.11/87.27 ** KEPT (pick-wt=9): 100 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 87.11/87.27 ** KEPT (pick-wt=17): 101 [] -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).
% 87.11/87.27 Following clause subsumed by 101 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).
% 87.11/87.27 Following clause subsumed by 101 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).
% 87.11/87.27 ** KEPT (pick-wt=9): 102 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 87.11/87.27 ** KEPT (pick-wt=9): 103 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 87.11/87.27 Following clause subsumed by 9 during input processing: 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=18): 104 [] hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(A),B),C),D),E)=hAPP(B,E)| -c_HOL_Oord__class_Oless(E,C,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 105 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 106 [] c_lesse_quals(A,c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=5): 107 [] -c_lesse_quals(c_Suc(A),A,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=22): 108 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,C,tc_nat),c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(C,A,tc_nat).
% 87.11/87.27 Following clause subsumed by 73 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_lesse_quals(B,C,tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=10): 109 [] c_Type_Otype_OFun(A,B)!=c_Type_Otype_OFun(C,D)|B=D.
% 87.11/87.27 ** KEPT (pick-wt=10): 110 [] c_Type_Otype_OFun(A,B)!=c_Type_Otype_OFun(C,D)|A=C.
% 87.11/87.27 ** KEPT (pick-wt=4): 111 [] c_Suc(A)!=A.
% 87.11/87.27 Following clause subsumed by 111 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 87.11/87.27 ** KEPT (pick-wt=12): 112 [] -hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|hBOOL(hAPP(A,B)).
% 87.11/87.27 ** KEPT (pick-wt=12): 113 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 87.11/87.27 ** KEPT (pick-wt=14): 114 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 87.11/87.27 ** KEPT (pick-wt=14): 115 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 87.11/87.27 ** KEPT (pick-wt=14): 116 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(D,C,A).
% 87.11/87.27 ** KEPT (pick-wt=14): 117 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 87.11/87.27 ** KEPT (pick-wt=12): 118 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(C,B,tc_nat)| -c_lesse_quals(A,C,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=6): 119 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 87.11/87.27 ** KEPT (pick-wt=6): 120 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 87.11/87.27 ** KEPT (pick-wt=14): 121 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_lesse_quals(B,D,A).
% 87.11/87.27 ** KEPT (pick-wt=14): 122 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 87.11/87.27 ** KEPT (pick-wt=16): 123 [] hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat)))| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat))).
% 87.11/87.27 ** KEPT (pick-wt=12): 124 [] A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_lesse_quals(B,A,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=12): 125 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(B,A,tc_nat),tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=12): 126 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(B,A,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 127 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=9): 128 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=14): 129 [] c_Suc(c_HOL_Ominus__class_Ominus(A,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=17): 130 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 87.11/87.27 ** KEPT (pick-wt=19): 131 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=19): 132 [] -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).
% 87.11/87.27 ** KEPT (pick-wt=19): 133 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 87.11/87.27 ** KEPT (pick-wt=19): 134 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,E,A).
% 87.21/87.28 ** KEPT (pick-wt=13): 135 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Suc(B),tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=13): 136 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 87.21/87.28 Following clause subsumed by 136 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 87.21/87.28 ** KEPT (pick-wt=11): 137 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lesse_quals(A,B,tc_nat).
% 87.21/87.28 Following clause subsumed by 137 during input processing: 0 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 87.21/87.28 Following clause subsumed by 137 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lesse_quals(A,B,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=13): 138 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 87.21/87.28 Following clause subsumed by 138 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 87.21/87.28 Following clause subsumed by 138 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 87.21/87.28 Following clause subsumed by 138 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 87.21/87.28 ** KEPT (pick-wt=13): 139 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 87.21/87.28 Following clause subsumed by 139 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 87.21/87.28 ** KEPT (pick-wt=10): 140 [] c_lesse_quals(A,B,tc_nat)| -c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=10): 141 [] c_lesse_quals(c_Suc(A),c_Suc(B),tc_nat)| -c_lesse_quals(A,B,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=10): 142 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 87.21/87.28 ** KEPT (pick-wt=10): 143 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 87.21/87.28 ** KEPT (pick-wt=10): 144 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 87.21/87.28 ** KEPT (pick-wt=10): 145 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 87.21/87.28 Following clause subsumed by 145 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 87.21/87.28 ** KEPT (pick-wt=13): 146 [] -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).
% 87.21/87.28 ** KEPT (pick-wt=20): 147 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=C.
% 87.21/87.28 ** KEPT (pick-wt=13): 148 [] c_List_Otake(A,B,C)=B| -c_lesse_quals(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=30): 149 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),hAPP(hAPP(c_Lambda_OdB_OApp,B),C)),D))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),C),E))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),B),c_Type_Otype_OFun(E,D))).
% 87.21/87.28 ** KEPT (pick-wt=14): 150 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=15): 151 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),C)=c_Lambda_OdB_OVar(A)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=13): 152 [] hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(A)),B)=c_Lambda_OdB_OVar(A)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=46): 154 [copy,153,flip.1] c_Type_Otype_OFun(A,B)!=v_T____|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,C),D),E)))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,F),D),A))| -hBOOL(hAPP(c_InductTermi_OIT,D))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),F),E),A)),C),G))| -hBOOL(hAPP(c_InductTermi_OIT,C)).
% 87.21/87.28 ** KEPT (pick-wt=46): 156 [copy,155,flip.1] c_Type_Otype_OFun(A,B)!=v_T____|hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,C),D),E)))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,F),D),B))| -hBOOL(hAPP(c_InductTermi_OIT,D))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),F),E),B)),C),G))| -hBOOL(hAPP(c_InductTermi_OIT,C)).
% 87.21/87.28 ** KEPT (pick-wt=36): 158 [copy,157,flip.1,flip.2,flip.3] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(A))),v_sko__InductTermi__XIT__Xcases__5(A)),v_sko__InductTermi__XIT__Xcases__6(A),tc_Lambda_OdB,tc_Lambda_OdB)=A|c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(A))=A|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(A)),v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB,tc_Lambda_OdB)=A| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=36): 160 [copy,159,flip.1,flip.3] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(A))),v_sko__InductTermi__XIT__Xcases__5(A)),v_sko__InductTermi__XIT__Xcases__6(A),tc_Lambda_OdB,tc_Lambda_OdB)=A|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(A)))|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(A)),v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB,tc_Lambda_OdB)=A| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=31): 161 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=31): 162 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=24): 164 [copy,163,flip.1] c_List_Oappend(c_List_Olist__update(A,B,C,D),E,D)=c_List_Olist__update(c_List_Oappend(A,E,D),B,C,D)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 87.21/87.28 Following clause subsumed by 164 during input processing: 0 [flip.1] c_List_Oappend(c_List_Olist__update(A,D,E,C),B,C)=c_List_Olist__update(c_List_Oappend(A,B,C),D,E,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=13): 165 [] c_Lambda_OdB_OVar(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|C=c_List_Olist_ONil(tc_Lambda_OdB).
% 87.21/87.28 ** KEPT (pick-wt=27): 167 [copy,166,flip.1] c_List_Oappend(c_List_Otake(A,B,C),c_List_Olist_OCons(D,c_List_Odrop(c_Suc(A),B,C),C),C)=c_List_Olist__update(B,A,D,C)| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=16): 168 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=39): 170 [copy,169,flip.3] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(A)),v_sko__InductTermi__XIT__Xcases__5(A)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(A),tc_Lambda_OdB,tc_Lambda_OdB)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(A)))|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(A)),v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB,tc_Lambda_OdB)=A| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=39): 172 [copy,171,flip.2,flip.3] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(A)),v_sko__InductTermi__XIT__Xcases__5(A)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(A),tc_Lambda_OdB,tc_Lambda_OdB)))|c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(A))=A|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(A)),v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB,tc_Lambda_OdB)=A| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=18): 173 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=21): 175 [copy,174,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).
% 87.21/87.28 ** KEPT (pick-wt=37): 177 [copy,176,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).
% 87.21/87.28 ** KEPT (pick-wt=37): 179 [copy,178,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).
% 87.21/87.28 ** KEPT (pick-wt=21): 180 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xlist__app__typeD__1__1(C,A,D,B))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),c_List_Ofoldl(c_Lambda_OdB_OApp,D,B,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 87.21/87.28 ** KEPT (pick-wt=21): 181 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xlist__app__typeE__1__1(C,A,D,B))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),c_List_Ofoldl(c_Lambda_OdB_OApp,D,B,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 87.21/87.28 ** KEPT (pick-wt=27): 182 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),c_Lambda_OdB_OAbs(B)),c_Type_Otype_OFun(C,D)))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),A),c_HOL_Ozero__class_Ozero(tc_nat)),C)),B),D)).
% 87.21/87.28 ** KEPT (pick-wt=30): 184 [copy,183,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(A))),v_sko__InductTermi__XIT__Xcases__5(A)),v_sko__InductTermi__XIT__Xcases__6(A),tc_Lambda_OdB,tc_Lambda_OdB)=A|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(A)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=30): 186 [copy,185,flip.1,flip.2] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(A))),v_sko__InductTermi__XIT__Xcases__5(A)),v_sko__InductTermi__XIT__Xcases__6(A),tc_Lambda_OdB,tc_Lambda_OdB)=A|c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(A))=A|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=33): 187 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(A)),v_sko__InductTermi__XIT__Xcases__5(A)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(A),tc_Lambda_OdB,tc_Lambda_OdB)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(A)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=22): 188 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xvar__app__typesE__1__1(C,A,D,B))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),B,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 87.21/87.28 ** KEPT (pick-wt=45): 189 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xvar__app__types__1__1(C,D,A,B))| -hBOOL(hAPP(hAPP(hAPP(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)| -hBOOL(hAPP(hAPP(hAPP(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)).
% 87.21/87.28 ** KEPT (pick-wt=33): 191 [copy,190,flip.2] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(A)),v_sko__InductTermi__XIT__Xcases__5(A)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(A),tc_Lambda_OdB,tc_Lambda_OdB)))|c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(A))=A|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=25): 193 [copy,192,flip.3] hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(A)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(A)))|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(A)),v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB,tc_Lambda_OdB)=A| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=25): 195 [copy,194,flip.2,flip.3] hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(A)))|c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(A))=A|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(A)),v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB,tc_Lambda_OdB)=A| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=19): 197 [copy,196,flip.2] hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(A)))|c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(A))=A|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=12): 198 [] c_List_Oappend(A,B,C)!=c_List_Oappend(A,D,C)|B=D.
% 87.21/87.28 ** KEPT (pick-wt=12): 199 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,B,C)|A=D.
% 87.21/87.28 ** KEPT (pick-wt=12): 200 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|A=D.
% 87.21/87.28 ** KEPT (pick-wt=16): 201 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=20): 202 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=11): 203 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 87.21/87.28 ** KEPT (pick-wt=11): 204 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 87.21/87.28 ** KEPT (pick-wt=13): 205 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=15): 206 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=7): 207 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 87.21/87.28 Following clause subsumed by 207 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 87.21/87.28 ** KEPT (pick-wt=16): 208 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=14): 209 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),hAPP(hAPP(c_Lambda_OdB_OApp,A),C))| -c_Lambda_Obeta(B,C).
% 87.21/87.28 ** KEPT (pick-wt=14): 210 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),hAPP(hAPP(c_Lambda_OdB_OApp,C),B))| -c_Lambda_Obeta(A,C).
% 87.21/87.28 ** KEPT (pick-wt=9): 211 [] c_List_Odistinct(c_List_Odrop(A,B,C),C)| -c_List_Odistinct(B,C).
% 87.21/87.28 ** KEPT (pick-wt=8): 212 [] c_List_Odistinct(c_List_Orev(A,B),B)| -c_List_Odistinct(A,B).
% 87.21/87.28 ** KEPT (pick-wt=8): 213 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Orev(A,B),B).
% 87.21/87.28 ** KEPT (pick-wt=10): 214 [] c_List_Orev(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 87.21/87.28 ** KEPT (pick-wt=14): 215 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,A),B),hAPP(hAPP(c_Lambda_Olift,C),B))| -c_Lambda_Obeta(A,C).
% 87.21/87.28 ** KEPT (pick-wt=6): 216 [] c_List_Olist_OCons(A,B,C)!=B.
% 87.21/87.28 Following clause subsumed by 216 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 87.21/87.28 ** KEPT (pick-wt=13): 217 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,A),c_Lambda_OdB_OVar(B))))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=16): 218 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|B=E|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=37): 219 [] -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),B),C))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),A),D),C)),E),F))|hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),hAPP(hAPP(hAPP(c_Lambda_Osubst,E),B),D)),F)).
% 87.21/87.28 ** KEPT (pick-wt=13): 220 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 87.21/87.28 ** KEPT (pick-wt=13): 221 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 87.21/87.28 ** KEPT (pick-wt=14): 222 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=9): 223 [] c_List_Odistinct(c_List_Otake(A,B,C),C)| -c_List_Odistinct(B,C).
% 87.21/87.28 ** KEPT (pick-wt=8): 224 [] c_Lambda_Obeta(c_Lambda_OdB_OAbs(A),c_Lambda_OdB_OAbs(B))| -c_Lambda_Obeta(A,B).
% 87.21/87.28 ** KEPT (pick-wt=9): 225 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Olist_OCons(C,A,B),B).
% 87.21/87.28 ** KEPT (pick-wt=8): 226 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 87.21/87.28 ** KEPT (pick-wt=12): 227 [] c_List_Olist__update(A,B,C,D)!=c_List_Olist_ONil(D)|A=c_List_Olist_ONil(D).
% 87.21/87.28 ** KEPT (pick-wt=9): 228 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(A,C,B),B).
% 87.21/87.28 ** KEPT (pick-wt=9): 229 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Oappend(C,A,B),B).
% 87.21/87.28 ** KEPT (pick-wt=16): 230 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=14): 231 [] hAPP(A,B)=C| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),c_Lambda_OdB_OVar(B)),C)).
% 87.21/87.28 ** KEPT (pick-wt=5): 232 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 87.21/87.28 ** KEPT (pick-wt=34): 233 [] 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))).
% 87.21/87.28 ** KEPT (pick-wt=15): 234 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=17): 235 [] -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).
% 87.21/87.28 ** KEPT (pick-wt=17): 236 [] -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).
% 87.21/87.28 ** KEPT (pick-wt=17): 237 [] -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).
% 87.21/87.28 ** KEPT (pick-wt=17): 238 [] -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).
% 87.21/87.28 ** KEPT (pick-wt=11): 239 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|B=c_List_Olist_ONil(A).
% 87.21/87.28 ** KEPT (pick-wt=11): 240 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|C=c_List_Olist_ONil(A).
% 87.21/87.28 ** KEPT (pick-wt=8): 241 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 87.21/87.28 ** KEPT (pick-wt=11): 242 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|A=c_List_Olist_ONil(C).
% 87.21/87.28 ** KEPT (pick-wt=11): 243 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 87.21/87.28 ** KEPT (pick-wt=21): 245 [copy,244,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.
% 87.21/87.28 ** KEPT (pick-wt=8): 246 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 87.21/87.28 ** KEPT (pick-wt=13): 247 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=16): 248 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=31): 249 [] A=B| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,C),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),E,tc_Lambda_OdB,tc_Lambda_OdB)),B))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,C),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),E,tc_Lambda_OdB,tc_Lambda_OdB)),A)).
% 87.21/87.28 ** KEPT (pick-wt=14): 250 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 87.21/87.28 ** KEPT (pick-wt=14): 251 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 87.21/87.28 ** KEPT (pick-wt=18): 252 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=18): 253 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=13): 254 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=7): 255 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 87.21/87.28 ** KEPT (pick-wt=4): 256 [] -c_Lambda_Obeta(c_Lambda_OdB_OVar(A),B).
% 87.21/87.28 ** KEPT (pick-wt=10): 257 [] c_List_Orev(A,B)!=c_List_Orev(C,B)|A=C.
% 87.21/87.28 ** KEPT (pick-wt=9): 258 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Orotate(C,A,B),B).
% 87.21/87.28 ** KEPT (pick-wt=9): 259 [] c_List_Odistinct(c_List_Orotate(A,B,C),C)| -c_List_Odistinct(B,C).
% 87.21/87.28 ** KEPT (pick-wt=11): 260 [] c_List_Oreplicate(A,B,C)!=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=11): 261 [] c_List_Olist_ONil(A)!=c_List_Oreplicate(B,C,A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=11): 262 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_List_Olist_ONil(B).
% 87.21/87.28 ** KEPT (pick-wt=10): 263 [] c_List_Olist_ONil(A)!=c_List_Orev(B,A)|B=c_List_Olist_ONil(A).
% 87.21/87.28 ** KEPT (pick-wt=14): 264 [] -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).
% 87.21/87.28 ** KEPT (pick-wt=14): 265 [] -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).
% 87.21/87.28 ** KEPT (pick-wt=11): 266 [] c_List_Orotate(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 87.21/87.28 ** KEPT (pick-wt=10): 267 [] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 87.21/87.28 Following clause subsumed by 267 during input processing: 0 [flip.1] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 87.21/87.28 ** KEPT (pick-wt=10): 268 [] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 87.21/87.28 Following clause subsumed by 268 during input processing: 0 [flip.1] c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 87.21/87.28 ** KEPT (pick-wt=8): 269 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 87.21/87.28 ** KEPT (pick-wt=57): 271 [copy,270,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).
% 87.21/87.28 ** KEPT (pick-wt=12): 272 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 87.21/87.28 ** KEPT (pick-wt=12): 273 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 87.21/87.28 ** KEPT (pick-wt=18): 274 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=18): 275 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=19): 276 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),B),C))| -c_Lambda_Obeta(D,B)| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),D),C)).
% 87.21/87.28 ** KEPT (pick-wt=8): 277 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 87.21/87.28 ** KEPT (pick-wt=8): 278 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 87.21/87.28 ** KEPT (pick-wt=8): 279 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 87.21/87.28 ** KEPT (pick-wt=5): 280 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 87.21/87.28 ** KEPT (pick-wt=24): 281 [] 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)).
% 87.21/87.28 ** KEPT (pick-wt=28): 282 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=17): 283 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 87.21/87.28 ** KEPT (pick-wt=20): 284 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=20): 285 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=27): 286 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),A),B),C)),hAPP(hAPP(c_Lambda_Olift,D),B)),E))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),D),E)).
% 87.21/87.28 ** KEPT (pick-wt=20): 287 [] c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),c_HOL_Ozero__class_Ozero(tc_nat)),A,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)| -c_List_Olistsp(c_InductTermi_OIT,A,tc_Lambda_OdB).
% 87.21/87.28 ** KEPT (pick-wt=12): 288 [] c_List_Omap(A,B,C,D)!=c_List_Olist_ONil(D)|B=c_List_Olist_ONil(C).
% 87.21/87.28 ** KEPT (pick-wt=18): 289 [] 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.
% 87.21/87.28 ** KEPT (pick-wt=15): 290 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),c_Lambda_OdB_OVar(B)),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=15): 291 [] c_List_Olistsp(A,c_List_Oappend(B,C,D),D)| -c_List_Olistsp(A,C,D)| -c_List_Olistsp(A,B,D).
% 87.21/87.28 ** KEPT (pick-wt=11): 292 [] c_List_Olistsp(A,B,C)| -hBOOL(hAPP(A,c_List_Osko__List__Xin__listsp__conv__set__1__1(A,B,C))).
% 87.21/87.28 ** KEPT (pick-wt=10): 293 [] c_List_Odistinct(A,B)| -c_List_Odistinct(c_List_Omap(C,A,B,D),D).
% 87.21/87.28 ** KEPT (pick-wt=14): 294 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=17): 295 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=19): 296 [] hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(A)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(A)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(A),tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=20): 297 [] 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)).
% 87.21/87.28 ** KEPT (pick-wt=12): 298 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,A),B)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=12): 299 [] c_List_Olist_ONil(A)!=c_List_Omap(B,C,D,A)|C=c_List_Olist_ONil(D).
% 87.21/87.28 ** KEPT (pick-wt=3): 300 [] v_n____!=v_i____.
% 87.21/87.28 ** KEPT (pick-wt=18): 301 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=11): 302 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(D,B,C),C).
% 87.21/87.28 ** KEPT (pick-wt=11): 303 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(B,D,C),C).
% 87.21/87.28 ** KEPT (pick-wt=28): 304 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=43): 305 [] c_Type_Otypings(A,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),B)),C),D,tc_Lambda_OdB,tc_Lambda_OdB),E)| -c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),A),C),F),D,E)| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),B),F)).
% 87.21/87.28 ** KEPT (pick-wt=9): 306 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 87.21/87.28 ** KEPT (pick-wt=28): 307 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=28): 308 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=26): 309 [] c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),A),B),C),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),B),D,tc_Lambda_OdB,tc_Lambda_OdB),E)| -c_Type_Otypings(A,D,E).
% 87.21/87.28 ** KEPT (pick-wt=24): 310 [] -c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),v_u____)),v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 87.21/87.28 ** KEPT (pick-wt=6): 311 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 87.21/87.28 ** KEPT (pick-wt=6): 312 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 87.21/87.28 ** KEPT (pick-wt=6): 313 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 87.21/87.28 ** KEPT (pick-wt=6): 314 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 87.21/87.28 ** KEPT (pick-wt=7): 315 [] A=B| -c_fe_qual(A,B,C).
% 87.21/87.28 Following clause subsumed by 255 during input processing: 0 [copy,207,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 87.21/87.28 ** KEPT (pick-wt=14): 332 [copy,222,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).
% 87.21/87.28 Following clause subsumed by 246 during input processing: 0 [copy,226,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 87.21/87.28 Following clause subsumed by 280 during input processing: 0 [copy,232,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 87.21/87.28 ** KEPT (pick-wt=15): 333 [copy,234,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).
% 87.21/87.28 Following clause subsumed by 226 during input processing: 0 [copy,246,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 87.21/87.28 Following clause subsumed by 207 during input processing: 0 [copy,255,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 87.21/87.28 Following clause subsumed by 279 during input processing: 0 [copy,277,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 87.21/87.28 Following clause subsumed by 277 during input processing: 0 [copy,279,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 87.21/87.28 Following clause subsumed by 232 during input processing: 0 [copy,280,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 87.21/87.28 Following clause subsumed by 222 during input processing: 0 [copy,332,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).
% 87.21/87.28 Following clause subsumed by 234 during input processing: 0 [copy,333,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).
% 87.21/87.28
% 87.21/87.28 ------------> process sos:
% 87.21/87.28 ** KEPT (pick-wt=3): 339 [] A=A.
% 87.21/87.28 ** KEPT (pick-wt=7): 340 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 87.21/87.28 ---> New Demodulator: 341 [new_demod,340] c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=A.
% 87.21/87.28 ** KEPT (pick-wt=7): 342 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=11): 343 [] c_HOL_Ominus__class_Ominus(c_Suc(A),c_Suc(B),tc_nat)=c_HOL_Ominus__class_Ominus(A,B,tc_nat).
% 87.21/87.28 ---> New Demodulator: 344 [new_demod,343] c_HOL_Ominus__class_Ominus(c_Suc(A),c_Suc(B),tc_nat)=c_HOL_Ominus__class_Ominus(A,B,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=9): 345 [] c_Divides_Odiv__class_Omod(A,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ---> New Demodulator: 346 [new_demod,345] c_Divides_Odiv__class_Omod(A,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=11): 347 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 87.21/87.28 Following clause subsumed by 347 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 87.21/87.28 Following clause subsumed by 347 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 87.21/87.28 ** KEPT (pick-wt=7): 348 [] c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=21): 349 [] c_List_Ofoldr(A,c_List_Oappend(B,C,D),E,D,F)=c_List_Ofoldr(A,B,c_List_Ofoldr(A,C,E,D,F),D,F).
% 87.21/87.28 ---> New Demodulator: 350 [new_demod,349] c_List_Ofoldr(A,c_List_Oappend(B,C,D),E,D,F)=c_List_Ofoldr(A,B,c_List_Ofoldr(A,C,E,D,F),D,F).
% 87.21/87.28 ** KEPT (pick-wt=18): 352 [copy,351,flip.1] c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat))=c_Divides_Odiv__class_Omod(c_Suc(A),B,tc_nat)|c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat))=B.
% 87.21/87.28 ** KEPT (pick-wt=8): 353 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_Suc(A),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=8): 354 [] hAPP(c_COMBK(A,B,C),D)=A.
% 87.21/87.28 ---> New Demodulator: 355 [new_demod,354] hAPP(c_COMBK(A,B,C),D)=A.
% 87.21/87.28 ** KEPT (pick-wt=9): 356 [] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 87.21/87.28 ---> New Demodulator: 357 [new_demod,356] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 87.21/87.28 ** KEPT (pick-wt=8): 358 [] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ---> New Demodulator: 359 [new_demod,358] c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=6): 360 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 87.21/87.28 Following clause subsumed by 360 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=7): 361 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=15): 362 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=5): 363 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=9): 364 [] c_lesse_quals(c_Suc(A),B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=7): 365 [] c_lesse_quals(c_Divides_Odiv__class_Omod(A,B,tc_nat),A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=17): 366 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(A),B,tc_nat),c_Suc(C),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat).
% 87.21/87.28 ---> New Demodulator: 367 [new_demod,366] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(A),B,tc_nat),c_Suc(C),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=6): 368 [] c_lesse_quals(c_Suc(A),c_Suc(A),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=5): 370 [copy,369,unit_del,9] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=9): 371 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=12): 372 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat)|A=c_List_Olist_ONil(B).
% 87.21/87.28 ** KEPT (pick-wt=24): 374 [copy,373,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).
% 87.21/87.28 ---> New Demodulator: 375 [new_demod,374] 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).
% 87.21/87.28 ** KEPT (pick-wt=11): 377 [copy,376,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(A).
% 87.21/87.28 ---> New Demodulator: 378 [new_demod,377] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(A).
% 87.21/87.28 Following clause subsumed by 370 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 87.21/87.28 Following clause subsumed by 370 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=9): 379 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=20): 381 [copy,380,flip.1] hAPP(hAPP(A,B),c_List_Ofoldr(A,C,D,E,F))=c_List_Ofoldr(A,c_List_Olist_OCons(B,C,E),D,E,F).
% 87.21/87.28 ---> New Demodulator: 382 [new_demod,381] hAPP(hAPP(A,B),c_List_Ofoldr(A,C,D,E,F))=c_List_Ofoldr(A,c_List_Olist_OCons(B,C,E),D,E,F).
% 87.21/87.28 ** KEPT (pick-wt=16): 384 [copy,383,flip.1] c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_nat),B,tc_nat)=c_Divides_Odiv__class_Omod(A,B,tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 87.21/87.28 Following clause subsumed by 363 during input processing: 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=14): 386 [copy,385,flip.1] c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat)),B,tc_nat)=c_Divides_Odiv__class_Omod(c_Suc(A),B,tc_nat).
% 87.21/87.28 ---> New Demodulator: 387 [new_demod,386] c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(A,B,tc_nat)),B,tc_nat)=c_Divides_Odiv__class_Omod(c_Suc(A),B,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=4): 388 [] c_lesse_quals(A,A,tc_nat).
% 87.21/87.28 Following clause subsumed by 388 during input processing: 0 [] c_lesse_quals(A,A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=8): 389 [] c_lesse_quals(A,B,tc_nat)|c_lesse_quals(B,A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=30): 391 [copy,390,flip.1] c_List_Oappend(A,c_List_Olist__update(B,c_HOL_Ominus__class_Ominus(C,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat),E,D),D)=c_List_Olist__update(c_List_Oappend(A,B,D),C,E,D)|c_HOL_Oord__class_Oless(C,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=8): 392 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)).
% 87.21/87.28 ** KEPT (pick-wt=25): 394 [copy,393,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).
% 87.21/87.28 ---> New Demodulator: 395 [new_demod,394] 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).
% 87.21/87.28 ** KEPT (pick-wt=13): 396 [] c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C))=c_Suc(c_Nat_Osize__class_Osize(B,tc_List_Olist(C))).
% 87.21/87.28 ** KEPT (pick-wt=13): 397 [] c_Suc(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(C,A,B),tc_List_Olist(B)).
% 87.21/87.28 ** KEPT (pick-wt=16): 398 [] c_List_Otake(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Otake(A,C,D),D).
% 87.21/87.28 ---> New Demodulator: 399 [new_demod,398] c_List_Otake(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Otake(A,C,D),D).
% 87.21/87.28 ** KEPT (pick-wt=17): 401 [copy,400,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 87.21/87.28 ---> New Demodulator: 402 [new_demod,401] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 87.21/87.28 ** KEPT (pick-wt=13): 403 [] c_List_Odrop(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(A,C,D).
% 87.21/87.28 ---> New Demodulator: 404 [new_demod,403] c_List_Odrop(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(A,C,D).
% 87.21/87.28 ** KEPT (pick-wt=15): 405 [] 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).
% 87.21/87.28 ---> New Demodulator: 406 [new_demod,405] 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).
% 87.21/87.28 ** KEPT (pick-wt=18): 407 [] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_Suc(D),E,C)=c_List_Olist_OCons(A,c_List_Olist__update(B,D,E,C),C).
% 87.21/87.28 ** KEPT (pick-wt=13): 408 [] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 87.21/87.28 ---> New Demodulator: 409 [new_demod,408] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 87.21/87.28 ** KEPT (pick-wt=10): 411 [copy,410,unit_del,9] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),A)=B.
% 87.21/87.28 ---> New Demodulator: 412 [new_demod,411] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),A)=B.
% 87.21/87.28 ** KEPT (pick-wt=18): 413 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),C)=c_Lambda_OdB_OVar(A)|A=C|c_HOL_Oord__class_Oless(C,A,tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=18): 415 [copy,414,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).
% 87.21/87.28 ---> New Demodulator: 416 [new_demod,415] 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).
% 87.21/87.28 ** KEPT (pick-wt=15): 418 [copy,417,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).
% 87.21/87.28 ---> New Demodulator: 419 [new_demod,418] 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).
% 87.21/87.28 ** KEPT (pick-wt=34): 420 [] hAPP(hAPP(hAPP(c_Type_Oshift(A),hAPP(hAPP(hAPP(c_Type_Oshift(A),B),C),D)),c_HOL_Ozero__class_Ozero(tc_nat)),E)=hAPP(hAPP(hAPP(c_Type_Oshift(A),hAPP(hAPP(hAPP(c_Type_Oshift(A),B),c_HOL_Ozero__class_Ozero(tc_nat)),E)),c_Suc(C)),D).
% 87.21/87.28 ** KEPT (pick-wt=15): 422 [copy,421,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).
% 87.21/87.28 ---> New Demodulator: 423 [new_demod,422] 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).
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,378] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 87.21/87.28 ** KEPT (pick-wt=24): 425 [copy,424,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).
% 87.21/87.28 ---> New Demodulator: 426 [new_demod,425] 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).
% 87.21/87.28 ** KEPT (pick-wt=20): 427 [] c_List_Ofoldr(A,B,C,D,E)=c_List_Ofoldl(hAPP(c_COMBC(D,E,E),A),C,c_List_Orev(B,D),E,D).
% 87.21/87.28 ** KEPT (pick-wt=20): 429 [copy,428,flip.1] c_List_Ofoldr(hAPP(c_COMBC(A,B,A),C),c_List_Orev(D,B),E,B,A)=c_List_Ofoldl(C,E,D,A,B).
% 87.21/87.28 ---> New Demodulator: 430 [new_demod,429] c_List_Ofoldr(hAPP(c_COMBC(A,B,A),C),c_List_Orev(D,B),E,B,A)=c_List_Ofoldl(C,E,D,A,B).
% 87.21/87.28 ** KEPT (pick-wt=11): 432 [copy,431,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OVar(A).
% 87.21/87.28 ---> New Demodulator: 433 [new_demod,432] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OVar(A).
% 87.21/87.28 ** KEPT (pick-wt=16): 435 [copy,434,flip.1] c_List_Oreplicate(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,D)=c_List_Omap(c_COMBK(C,D,B),A,B,D).
% 87.21/87.28 ---> New Demodulator: 436 [new_demod,435] c_List_Oreplicate(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,D)=c_List_Omap(c_COMBK(C,D,B),A,B,D).
% 87.21/87.28 ** KEPT (pick-wt=21): 437 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)).
% 87.21/87.28 ** KEPT (pick-wt=19): 438 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=19): 439 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=27): 441 [copy,440,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).
% 87.21/87.28 ---> New Demodulator: 442 [new_demod,441] 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).
% 87.21/87.28 ** KEPT (pick-wt=7): 443 [] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 87.21/87.28 ---> New Demodulator: 444 [new_demod,443] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 87.21/87.28 ** KEPT (pick-wt=8): 445 [] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 87.21/87.28 ---> New Demodulator: 446 [new_demod,445] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 87.21/87.28 ** KEPT (pick-wt=13): 447 [] 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).
% 87.21/87.28 ---> New Demodulator: 448 [new_demod,447] 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).
% 87.21/87.28 ** KEPT (pick-wt=17): 449 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=20): 450 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=7): 451 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 87.21/87.28 ---> New Demodulator: 452 [new_demod,451] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 87.21/87.28 ** KEPT (pick-wt=13): 453 [] 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).
% 87.21/87.28 ---> New Demodulator: 454 [new_demod,453] 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).
% 87.21/87.28 ** KEPT (pick-wt=13): 455 [] 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)).
% 87.21/87.28 ** KEPT (pick-wt=11): 456 [] hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,A),c_Lambda_OdB_OVar(B)),hAPP(A,B))).
% 87.21/87.28 ** KEPT (pick-wt=15): 458 [copy,457,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).
% 87.21/87.28 ---> New Demodulator: 459 [new_demod,458] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,459] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 87.21/87.28 ** KEPT (pick-wt=12): 461 [copy,460,flip.1] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 87.21/87.28 ---> New Demodulator: 462 [new_demod,461] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 87.21/87.28 ** KEPT (pick-wt=9): 463 [] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 87.21/87.28 ---> New Demodulator: 464 [new_demod,463] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,464] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,464] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,459] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,459] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 87.21/87.28 ** KEPT (pick-wt=12): 465 [] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 87.21/87.28 ---> New Demodulator: 466 [new_demod,465] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 87.21/87.28 ** KEPT (pick-wt=17): 467 [] 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).
% 87.21/87.28 ---> New Demodulator: 468 [new_demod,467] 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).
% 87.21/87.28 ** KEPT (pick-wt=11): 469 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 87.21/87.28 ** KEPT (pick-wt=8): 470 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 87.21/87.28 ** KEPT (pick-wt=8): 471 [] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 87.21/87.28 ---> New Demodulator: 472 [new_demod,471] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 87.21/87.28 ** KEPT (pick-wt=14): 473 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=13): 474 [] 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)).
% 87.21/87.28 ---> New Demodulator: 475 [new_demod,474] 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)).
% 87.21/87.28 ** KEPT (pick-wt=13): 477 [copy,476,flip.1] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 87.21/87.28 ---> New Demodulator: 478 [new_demod,477] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,454] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,444] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 87.21/87.28 ** KEPT (pick-wt=19): 479 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=7): 480 [] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 87.21/87.28 ---> New Demodulator: 481 [new_demod,480] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 87.21/87.28 ** KEPT (pick-wt=15): 482 [] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 87.21/87.28 ---> New Demodulator: 483 [new_demod,482] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 87.21/87.28 ** KEPT (pick-wt=21): 484 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=7): 486 [copy,485,flip.1] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 87.21/87.28 ---> New Demodulator: 487 [new_demod,486] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,444] A=A.
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,487] B=B.
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,487] A=A.
% 87.21/87.28 ** KEPT (pick-wt=7): 489 [copy,488,flip.1] c_List_Orev(c_List_Orev(A,B),B)=A.
% 87.21/87.28 ---> New Demodulator: 490 [new_demod,489] c_List_Orev(c_List_Orev(A,B),B)=A.
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,490] A=A.
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,490] A=A.
% 87.21/87.28 ** KEPT (pick-wt=12): 492 [copy,491,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 87.21/87.28 ---> New Demodulator: 493 [new_demod,492] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 87.21/87.28 ** KEPT (pick-wt=23): 494 [] 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)).
% 87.21/87.28 ** KEPT (pick-wt=11): 495 [] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 87.21/87.28 ---> New Demodulator: 496 [new_demod,495] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 87.21/87.28 ** KEPT (pick-wt=8): 497 [] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 87.21/87.28 ---> New Demodulator: 498 [new_demod,497] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 87.21/87.28 ** KEPT (pick-wt=14): 499 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 87.21/87.28 ---> New Demodulator: 500 [new_demod,499] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 87.21/87.28 Following clause subsumed by 339 during input processing: 0 [demod,500] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 87.21/87.28 ** KEPT (pick-wt=9): 501 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 87.21/87.28 ---> New Demodulator: 502 [new_demod,501] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 87.21/87.28 ** KEPT (pick-wt=12): 503 [] hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(A),B),C),D),C)=D.
% 87.21/87.28 ---> New Demodulator: 504 [new_demod,503] hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(A),B),C),D),C)=D.
% 87.21/87.28 ** KEPT (pick-wt=23): 505 [] 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)).
% 87.21/87.28 ---> New Demodulator: 506 [new_demod,505] 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)).
% 87.21/87.28 ** KEPT (pick-wt=23): 507 [] 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)).
% 87.21/87.28 ** KEPT (pick-wt=8): 508 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ---> New Demodulator: 509 [new_demod,508] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 87.21/87.28 ** KEPT (pick-wt=12): 510 [] 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)).
% 87.21/87.28 ---> New Demodulator: 511 [new_demod,510] 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)).
% 87.21/87.28 ** KEPT (pick-wt=8): 512 [] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 87.21/87.28 ** KEPT (pick-wt=15): 513 [] 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))).
% 87.21/87.28 ** KEPT (pick-wt=21): 514 [] 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).
% 87.21/87.28 ** KEPT (pick-wt=4): 515 [] c_List_Odistinct(c_List_Olist_ONil(A),A).
% 87.21/87.28 ** KEPT (pick-wt=8): 516 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 87.21/87.28 Following clause subsumed by 516 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).
% 87.21/87.28 ** KEPT (pick-wt=23): 518 [copy,517,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).
% 87.21/87.28 ---> New Demodulator: 519 [new_demod,518] 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).
% 87.21/87.28 ** KEPT (pick-wt=9): 520 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 87.21/87.28 ---> New Demodulator: 521 [new_demod,520] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 87.21/87.28 ** KEPT (pick-wt=18): 522 [] 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)).
% 87.21/87.28 ---> New Demodulator: 523 [new_demod,522] 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)).
% 87.21/87.29 ** KEPT (pick-wt=22): 524 [] 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).
% 87.21/87.29 Following clause subsumed by 339 during input processing: 0 [demod,487] c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 87.21/87.29 ** KEPT (pick-wt=8): 525 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 87.21/87.29 ---> New Demodulator: 526 [new_demod,525] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 87.21/87.29 ** KEPT (pick-wt=22): 527 [] 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.
% 87.21/87.29 ** KEPT (pick-wt=21): 529 [copy,528,demod,459] 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).
% 87.21/87.29 Following clause subsumed by 339 during input processing: 0 [demod,481] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 87.21/87.29 ** KEPT (pick-wt=11): 530 [] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 87.21/87.29 ---> New Demodulator: 531 [new_demod,530] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 87.21/87.29 Following clause subsumed by 339 during input processing: 0 [demod,444] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 87.21/87.29 ** KEPT (pick-wt=15): 532 [] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 87.21/87.29 ---> New Demodulator: 533 [new_demod,532] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 87.21/87.29 ** KEPT (pick-wt=15): 534 [] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 87.21/87.29 ---> New Demodulator: 535 [new_demod,534] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 87.21/87.29 Following clause subsumed by 339 during input processing: 0 [demod,535] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 87.21/87.29 Following clause subsumed by 339 during input processing: 0 [demod,535] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 87.21/87.29 Following clause subsumed by 339 during input processing: 0 [demod,535] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 87.21/87.29 ** 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)).
% 87.21/87.29 ** KEPT (pick-wt=17): 537 [] c_List_Odrop(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Odrop(A,C,D),D,E).
% 87.21/87.29 ---> New Demodulator: 538 [new_demod,537] c_List_Odrop(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Odrop(A,C,D),D,E).
% 87.21/87.29 Following clause subsumed by 339 during input processing: 0 [demod,412] B=B.
% 87.21/87.29 ** KEPT (pick-wt=32): 539 [] hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,A),C),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),C),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 87.21/87.29 ** KEPT (pick-wt=21): 541 [copy,540,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).
% 87.21/87.29 ---> New Demodulator: 542 [new_demod,541] 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).
% 87.21/87.29 ** KEPT (pick-wt=5): 543 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 87.21/87.29 ** KEPT (pick-wt=15): 544 [] c_List_Omap(A,c_List_Oreplicate(B,C,D),D,E)=c_List_Oreplicate(B,hAPP(A,C),E).
% 87.21/87.29 ** KEPT (pick-wt=13): 545 [] 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)).
% 87.21/87.29 ** KEPT (pick-wt=45): 546 [] 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_Lamb
% 87.21/87.29 Search stopped in tp_alloc by max_mem option.
% 87.21/87.29 da_Osubst,A),C),D),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),C)),D),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 87.21/87.29 ** KEPT (pick-wt=17): 547 [] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 87.21/87.29 ---> New Demodulator: 548 [new_demod,547] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 87.21/87.29 ** KEPT (pick-wt=5): 549 [] c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 87.21/87.29 ** KEPT (pick-wt=15): 550 [] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 87.21/87.29 ---> New Demodulator: 551 [new_demod,550] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 87.21/87.29 ** KEPT (pick-wt=4): 552 [] hBOOL(hAPP(c_InductTermi_OIT,v_ua______)).
% 87.21/87.29 ** KEPT (pick-wt=17): 553 [] c_List_Otake(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Otake(A,C,D),D,E).
% 87.21/87.29 ---> New Demodulator: 554 [new_demod,553] c_List_Otake(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Otake(A,C,D),D,E).
% 87.21/87.29 ** KEPT (pick-wt=16): 555 [] hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 87.21/87.29 ** KEPT (pick-wt=9): 556 [] c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 87.21/87.29 ** KEPT (pick-wt=20): 558 [copy,557,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).
% 87.21/87.29 ---> New Demodulator: 559 [new_demod,558] 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).
% 87.21/87.29 ** KEPT (pick-wt=19): 561 [copy,560,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).
% 87.21/87.29 ---> New Demodulator: 562 [new_demod,561] 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).
% 87.21/87.29 Following clause subsumed by 339 during input processing: 0 [demod,562] 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).
% 87.21/87.29 Following clause subsumed by 339 during input processing: 0 [demod,562] 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).
% 87.21/87.29 ** KEPT (pick-wt=4): 563 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 87.21/87.29 ** KEPT (pick-wt=13): 564 [] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,A),B)),C),B)=A.
% 87.21/87.29 ---> New Demodulator: 565 [new_demod,564] hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,A),B)),C),B)=A.
% 87.21/87.29 ** KEPT (pick-wt=21): 566 [] 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).
% 87.21/87.29 ** KEPT (pick-wt=9): 567 [] c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 87.21/87.29
% 87.21/87.29 Search stopped in tp_alloc by max_mem option.
% 87.21/87.29
% 87.21/87.29 ============ end of search ============
% 87.21/87.29
% 87.21/87.29 -------------- statistics -------------
% 87.21/87.29 clauses given 0
% 87.21/87.29 clauses generated 31
% 87.21/87.29 clauses kept 444
% 87.21/87.29 clauses forward subsumed 92
% 87.21/87.29 clauses back subsumed 0
% 87.21/87.29 Kbytes malloced 11718
% 87.21/87.29
% 87.21/87.29 ----------- times (seconds) -----------
% 87.21/87.29 user CPU time 0.04 (0 hr, 0 min, 0 sec)
% 87.21/87.29 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 87.21/87.29 wall-clock time 87 (0 hr, 1 min, 27 sec)
% 87.21/87.29
% 87.21/87.29 Process 2832 finished Wed Jul 27 09:09:50 2022
% 87.21/87.29 Otter interrupted
% 87.21/87.29 PROOF NOT FOUND
%------------------------------------------------------------------------------