Input TRS:
    1: 2nd(cons(X,n__cons(Y,Z))) -> activate(Y)
    2: from(X) -> cons(X,n__from(s(X)))
    3: cons(X1,X2) -> n__cons(X1,X2)
    4: from(X) -> n__from(X)
    5: activate(n__cons(X1,X2)) -> cons(X1,X2)
    6: activate(n__from(X)) -> from(X)
    7: activate(X) -> X
Number of strict rules: 7
Direct Order(PosReal,>,Poly) ... removes: 4 1 3 5 7 6 2
     s(x1)	weight: (/ 1 16) + x1
activate(x1)	weight: (/ 1 4) + 2 * x1
n__from(x1)	weight: (/ 1 16) + x1
   2nd(x1)	weight: 2 * x1
  from(x1)	weight: (/ 5 16) + 2 * x1
n__cons(x1,x2)	weight: (/ 1 16) + x1 + x2
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
Number of strict rules: 0
YES