(VAR V1 V V2 L N X1 X2 X)
(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(X)
activate(n__s(X)) -> s(X)
activate(n__cons(X1,X2)) -> cons(X1,X2)
activate(n__nil) -> nil
activate(X) -> X
)