Input TRS:
    1: f(n__f(n__a())) -> f(n__g(f(n__a())))
    2: f(X) -> n__f(X)
    3: a() -> n__a()
    4: g(X) -> n__g(X)
    5: activate(n__f(X)) -> f(X)
    6: activate(n__a()) -> a()
    7: activate(n__g(X)) -> g(X)
    8: activate(X) -> X
Number of strict rules: 8
Direct Order(PosReal,>,Poly) ... removes: 4 8 5 7 6
     a()	weight: 0
  n__a()	weight: 0
activate(x1)	weight: (/ 1 2) + 2 * x1
     f(x1)	weight: (/ 30877 4) + x1
  n__f(x1)	weight: (/ 30877 4) + x1
  n__g(x1)	weight: x1
     g(x1)	weight: (/ 1 4) + x1
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(n__f(n__a())) -> #f(n__g(f(n__a())))
   #2: #f(n__f(n__a())) -> #f(n__a())
Number of SCCs: 0, DPs: 0, edges: 0
YES