MAYBE
MAYBE
TRS:
 {
                    zeros() -> cons(0(), n__zeros()),
                    zeros() -> n__zeros(),
               U12(tt(), L) -> s(length(activate(L))),
                activate(X) -> X,
       activate(n__zeros()) -> zeros(),
  activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)),
               U11(tt(), L) -> U12(tt(), activate(L)),
         length(cons(N, L)) -> U11(tt(), activate(L)),
              length(nil()) -> 0(),
        U22(tt(), IL, M, N) ->
  U23(tt(), activate(IL), activate(M), activate(N)),
        U21(tt(), IL, M, N) ->
  U22(tt(), activate(IL), activate(M), activate(N)),
        U23(tt(), IL, M, N) ->
  cons(activate(N), n__take(activate(M), activate(IL))),
               take(X1, X2) -> n__take(X1, X2),
              take(0(), IL) -> nil(),
    take(s(M), cons(N, IL)) -> U21(tt(), activate(IL), M, N)
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
                      zeros() -> cons(0(), n__zeros()),
                      zeros() -> n__zeros(),
                 U12(tt(), L) -> s(length(activate(L))),
                  activate(X) -> X,
         activate(n__zeros()) -> zeros(),
    activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)),
                 U11(tt(), L) -> U12(tt(), activate(L)),
           length(cons(N, L)) -> U11(tt(), activate(L)),
                length(nil()) -> 0(),
          U22(tt(), IL, M, N) ->
    U23(tt(), activate(IL), activate(M), activate(N)),
          U21(tt(), IL, M, N) ->
    U22(tt(), activate(IL), activate(M), activate(N)),
          U23(tt(), IL, M, N) ->
    cons(activate(N), n__take(activate(M), activate(IL))),
                 take(X1, X2) -> n__take(X1, X2),
                take(0(), IL) -> nil(),
      take(s(M), cons(N, IL)) -> U21(tt(), activate(IL), M, N)
   }
  Fail