YES

TRS:

  2nd(cons(X,n__cons(Y,Z))) -> activate(Y)
  from(X) -> cons(X,n__from(s(X)))
  cons(X1,X2) -> n__cons(X1,X2)
  from(X) -> n__from(X)
  activate(n__cons(X1,X2)) -> cons(X1,X2)
  activate(n__from(X)) -> from(X)
  activate(X) -> X

linear polynomial interpretations on N:

  2nd_A(x1) = x1 + 1
  2nd#_A(x1) = 4
  cons_A(x1,x2) = x1 + x2 + 1
  cons#_A(x1,x2) = 1
  n__cons_A(x1,x2) = x1 + x2
  n__cons#_A(x1,x2) = 0
  activate_A(x1) = x1 + 2
  activate#_A(x1) = 3
  from_A(x1) = x1 + 2
  from#_A(x1) = 2
  n__from_A(x1) = x1
  n__from#_A(x1) = 1
  s_A(x1) = 1
  s#_A(x1) = 0

precedence:

  2nd = from > activate = n__from = s > cons > n__cons