Input TRS:
    1: f(f(a())) -> f(g(n__f(n__a())))
    2: f(X) -> n__f(X)
    3: a() -> n__a()
    4: activate(n__f(X)) -> f(activate(X))
    5: activate(n__a()) -> a()
    6: activate(X) -> X
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... removes: 5 6
     a()	weight: 0
  n__a()	weight: 0
activate(x1)	weight: (/ 1 4) + x1
     f(x1)	weight: (/ 30877 4) + x1
  n__f(x1)	weight: (/ 30877 4) + x1
     g(x1)	weight: x1
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... removes: 2
     a()	weight: 0
  n__a()	weight: 0
activate(x1)	weight: (/ 1 8) + 2 * x1
     f(x1)	weight: (/ 1 4) + x1
  n__f(x1)	weight: (/ 1 8) + x1
     g(x1)	weight: 2 * x1
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 4 1
     a()	weight: 0
  n__a()	weight: 0
activate(x1)	weight: (/ 1 4) + 2 * x1
     f(x1)	weight: (/ 19571 4) + x1
  n__f(x1)	weight: (/ 4893 2) + 2 * x1
     g(x1)	weight: 2446 + x1
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
Number of SCCs: 0, DPs: 0, edges: 0
YES