MAYBE
0.18/0.20	MAYBE
0.18/0.20	
0.18/0.20	Problem:
0.18/0.20	 zeros() -> cons(0(),n__zeros())
0.18/0.20	 U11(tt(),L) -> s(length(activate(L)))
0.18/0.20	 U21(tt()) -> nil()
0.18/0.20	 U31(tt(),IL,M,N) -> cons(activate(N),n__take(activate(M),activate(IL)))
0.18/0.20	 and(tt(),X) -> activate(X)
0.18/0.20	 isNat(n__0()) -> tt()
0.18/0.20	 isNat(n__length(V1)) -> isNatList(activate(V1))
0.18/0.20	 isNat(n__s(V1)) -> isNat(activate(V1))
0.18/0.20	 isNatIList(V) -> isNatList(activate(V))
0.18/0.20	 isNatIList(n__zeros()) -> tt()
0.18/0.20	 isNatIList(n__cons(V1,V2)) -> and(isNat(activate(V1)),n__isNatIList(activate(V2)))
0.18/0.20	 isNatList(n__nil()) -> tt()
0.18/0.20	 isNatList(n__cons(V1,V2)) -> and(isNat(activate(V1)),n__isNatList(activate(V2)))
0.18/0.20	 isNatList(n__take(V1,V2)) -> and(isNat(activate(V1)),n__isNatIList(activate(V2)))
0.18/0.20	 length(nil()) -> 0()
0.18/0.20	 length(cons(N,L)) -> U11(and(isNatList(activate(L)),n__isNat(N)),activate(L))
0.18/0.20	 take(0(),IL) -> U21(isNatIList(IL))
0.18/0.20	 take(s(M),cons(N,IL)) ->
0.18/0.20	 U31(and(isNatIList(activate(IL)),n__and(isNat(M),n__isNat(N))),activate(IL),M,N)
0.18/0.20	 zeros() -> n__zeros()
0.18/0.20	 take(X1,X2) -> n__take(X1,X2)
0.18/0.20	 0() -> n__0()
0.18/0.20	 length(X) -> n__length(X)
0.18/0.20	 s(X) -> n__s(X)
0.18/0.20	 cons(X1,X2) -> n__cons(X1,X2)
0.18/0.20	 isNatIList(X) -> n__isNatIList(X)
0.18/0.20	 nil() -> n__nil()
0.18/0.20	 isNatList(X) -> n__isNatList(X)
0.18/0.20	 isNat(X) -> n__isNat(X)
0.18/0.20	 and(X1,X2) -> n__and(X1,X2)
0.18/0.20	 activate(n__zeros()) -> zeros()
0.18/0.20	 activate(n__take(X1,X2)) -> take(X1,X2)
0.18/0.20	 activate(n__0()) -> 0()
0.18/0.20	 activate(n__length(X)) -> length(X)
0.18/0.20	 activate(n__s(X)) -> s(X)
0.18/0.20	 activate(n__cons(X1,X2)) -> cons(X1,X2)
0.18/0.20	 activate(n__isNatIList(X)) -> isNatIList(X)
0.18/0.20	 activate(n__nil()) -> nil()
0.18/0.20	 activate(n__isNatList(X)) -> isNatList(X)
0.18/0.20	 activate(n__isNat(X)) -> isNat(X)
0.18/0.20	 activate(n__and(X1,X2)) -> and(X1,X2)
0.18/0.20	 activate(X) -> X
0.18/0.20	
0.18/0.20	Proof:
0.18/0.20	 Open
0.18/0.20	EOF