YES

TRS:

  filter(cons(X,Y),0(),M) -> cons(0(),n__filter(activate(Y),M,M))
  filter(cons(X,Y),s(N),M) -> cons(X,n__filter(activate(Y),N,M))
  sieve(cons(0(),Y)) -> cons(0(),n__sieve(activate(Y)))
  sieve(cons(s(N),Y)) -> cons(s(N),n__sieve(filter(activate(Y),N,N)))
  nats(N) -> cons(N,n__nats(s(N)))
  zprimes() -> sieve(nats(s(s(0()))))
  filter(X1,X2,X3) -> n__filter(X1,X2,X3)
  sieve(X) -> n__sieve(X)
  nats(X) -> n__nats(X)
  activate(n__filter(X1,X2,X3)) -> filter(X1,X2,X3)
  activate(n__sieve(X)) -> sieve(X)
  activate(n__nats(X)) -> nats(X)
  activate(X) -> X

max/plus interpretations on N:

  filter_A(x1,x2,x3) = max{31, x1, 6, 8}
  filter#_A(x1,x2,x3) = max{34, 4 + x1, 6, -1}
  cons_A(x1,x2) = max{28, -1 + x1, 7 + x2}
  cons#_A(x1,x2) = max{8, 1 + x1, 23}
  0_A = 32
  0#_A = 21
  n__filter_A(x1,x2,x3) = max{22, -7 + x1, 6, 23}
  n__filter#_A(x1,x2,x3) = max{33, 5, 5, 5}
  activate_A(x1) = max{31, 7 + x1}
  activate#_A(x1) = max{0, 11 + x1}
  s_A(x1) = max{49, 6}
  s#_A(x1) = max{0, -1}
  sieve_A(x1) = max{27, 19 + x1}
  sieve#_A(x1) = max{22, 13 + x1}
  n__sieve_A(x1) = max{1, 12 + x1}
  n__sieve#_A(x1) = max{21, 17}
  nats_A(x1) = max{50, 1 + x1}
  nats#_A(x1) = max{24, 1 + x1}
  n__nats_A(x1) = max{43, -6 + x1}
  n__nats#_A(x1) = max{0, -49 + x1}
  zprimes_A = 69
  zprimes#_A = 64

precedence:

  zprimes > sieve > filter = activate > n__filter = nats > s = n__nats > cons > 0 = n__sieve