(VAR V1 V2 L N IL M V X1 X2 X) (RULES zeros -> cons(0,n__zeros) U101(tt,V1,V2) -> U102(isNatKind(activate(V1)),activate(V1),activate(V2)) U102(tt,V1,V2) -> U103(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U103(tt,V1,V2) -> U104(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U104(tt,V1,V2) -> U105(isNat(activate(V1)),activate(V2)) U105(tt,V2) -> U106(isNatIList(activate(V2))) U106(tt) -> tt U11(tt,V1) -> U12(isNatIListKind(activate(V1)),activate(V1)) U111(tt,L,N) -> U112(isNatIListKind(activate(L)),activate(L),activate(N)) U112(tt,L,N) -> U113(isNat(activate(N)),activate(L),activate(N)) U113(tt,L,N) -> U114(isNatKind(activate(N)),activate(L)) U114(tt,L) -> s(length(activate(L))) U12(tt,V1) -> U13(isNatList(activate(V1))) U121(tt,IL) -> U122(isNatIListKind(activate(IL))) U122(tt) -> nil U13(tt) -> tt U131(tt,IL,M,N) -> U132(isNatIListKind(activate(IL)),activate(IL),activate(M),activate(N)) U132(tt,IL,M,N) -> U133(isNat(activate(M)),activate(IL),activate(M),activate(N)) U133(tt,IL,M,N) -> U134(isNatKind(activate(M)),activate(IL),activate(M),activate(N)) U134(tt,IL,M,N) -> U135(isNat(activate(N)),activate(IL),activate(M),activate(N)) U135(tt,IL,M,N) -> U136(isNatKind(activate(N)),activate(IL),activate(M),activate(N)) U136(tt,IL,M,N) -> cons(activate(N),n__take(activate(M),activate(IL))) U21(tt,V1) -> U22(isNatKind(activate(V1)),activate(V1)) U22(tt,V1) -> U23(isNat(activate(V1))) U23(tt) -> tt U31(tt,V) -> U32(isNatIListKind(activate(V)),activate(V)) U32(tt,V) -> U33(isNatList(activate(V))) U33(tt) -> tt U41(tt,V1,V2) -> U42(isNatKind(activate(V1)),activate(V1),activate(V2)) U42(tt,V1,V2) -> U43(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U43(tt,V1,V2) -> U44(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U44(tt,V1,V2) -> U45(isNat(activate(V1)),activate(V2)) U45(tt,V2) -> U46(isNatIList(activate(V2))) U46(tt) -> tt U51(tt,V2) -> U52(isNatIListKind(activate(V2))) U52(tt) -> tt U61(tt,V2) -> U62(isNatIListKind(activate(V2))) U62(tt) -> tt U71(tt) -> tt U81(tt) -> tt U91(tt,V1,V2) -> U92(isNatKind(activate(V1)),activate(V1),activate(V2)) U92(tt,V1,V2) -> U93(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U93(tt,V1,V2) -> U94(isNatIListKind(activate(V2)),activate(V1),activate(V2)) U94(tt,V1,V2) -> U95(isNat(activate(V1)),activate(V2)) U95(tt,V2) -> U96(isNatList(activate(V2))) U96(tt) -> tt isNat(n__0) -> tt isNat(n__length(V1)) -> U11(isNatIListKind(activate(V1)),activate(V1)) isNat(n__s(V1)) -> U21(isNatKind(activate(V1)),activate(V1)) isNatIList(V) -> U31(isNatIListKind(activate(V)),activate(V)) isNatIList(n__zeros) -> tt isNatIList(n__cons(V1,V2)) -> U41(isNatKind(activate(V1)),activate(V1),activate(V2)) isNatIListKind(n__nil) -> tt isNatIListKind(n__zeros) -> tt isNatIListKind(n__cons(V1,V2)) -> U51(isNatKind(activate(V1)),activate(V2)) isNatIListKind(n__take(V1,V2)) -> U61(isNatKind(activate(V1)),activate(V2)) isNatKind(n__0) -> tt isNatKind(n__length(V1)) -> U71(isNatIListKind(activate(V1))) isNatKind(n__s(V1)) -> U81(isNatKind(activate(V1))) isNatList(n__nil) -> tt isNatList(n__cons(V1,V2)) -> U91(isNatKind(activate(V1)),activate(V1),activate(V2)) isNatList(n__take(V1,V2)) -> U101(isNatKind(activate(V1)),activate(V1),activate(V2)) length(nil) -> 0 length(cons(N,L)) -> U111(isNatList(activate(L)),activate(L),N) take(0,IL) -> U121(isNatIList(IL),IL) take(s(M),cons(N,IL)) -> U131(isNatIList(activate(IL)),activate(IL),M,N) zeros -> n__zeros take(X1,X2) -> n__take(X1,X2) 0 -> n__0 length(X) -> n__length(X) s(X) -> n__s(X) cons(X1,X2) -> n__cons(X1,X2) nil -> n__nil activate(n__zeros) -> zeros activate(n__take(X1,X2)) -> take(activate(X1),activate(X2)) activate(n__0) -> 0 activate(n__length(X)) -> length(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(n__cons(X1,X2)) -> cons(activate(X1),X2) activate(n__nil) -> nil activate(X) -> X )