(VAR L N V V1 V2 X X1 X2 )
(RULES 
        zeros -> cons(0, n__zeros)
        U11(tt, V1) -> U12(isNatIListKind(activate(V1)), activate(V1))
        U12(tt, V1) -> U13(isNatList(activate(V1)))
        U13(tt) -> tt
        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) -> tt
        U71(tt) -> tt
        U81(tt, V1, V2) -> U82(isNatKind(activate(V1)), activate(V1), activate(V2))
        U82(tt, V1, V2) -> U83(isNatIListKind(activate(V2)), activate(V1), activate(V2))
        U83(tt, V1, V2) -> U84(isNatIListKind(activate(V2)), activate(V1), activate(V2))
        U84(tt, V1, V2) -> U85(isNat(activate(V1)), activate(V2))
        U85(tt, V2) -> U86(isNatList(activate(V2)))
        U86(tt) -> tt
        U91(tt, L, N) -> U92(isNatIListKind(activate(L)), activate(L), activate(N))
        U92(tt, L, N) -> U93(isNat(activate(N)), activate(L), activate(N))
        U93(tt, L, N) -> U94(isNatKind(activate(N)), activate(L))
        U94(tt, L) -> s(length(activate(L)))
        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))
        isNatKind(n__0) -> tt
        isNatKind(n__length(V1)) -> U61(isNatIListKind(activate(V1)))
        isNatKind(n__s(V1)) -> U71(isNatKind(activate(V1)))
        isNatList(n__nil) -> tt
        isNatList(n__cons(V1, V2)) -> U81(isNatKind(activate(V1)), activate(V1), activate(V2))
        length(nil) -> 0
        length(cons(N, L)) -> U91(isNatList(activate(L)), activate(L), N)
        zeros -> n__zeros
        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__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
        
)