Input TRS:
    1: f(f(a())) -> c(n__f(n__g(n__f(n__a()))))
    2: f(X) -> n__f(X)
    3: g(X) -> n__g(X)
    4: a() -> n__a()
    5: activate(n__f(X)) -> f(activate(X))
    6: activate(n__g(X)) -> g(activate(X))
    7: activate(n__a()) -> a()
    8: activate(X) -> X
Number of strict rules: 8
Direct Order(PosReal,>,Poly) ... removes: 8 7
     a()	weight: 0
  n__a()	weight: 0
activate(x1)	weight: (/ 328497 8) + x1
     c(x1)	weight: x1
     f(x1)	weight: (/ 1 8) + x1
  n__f(x1)	weight: (/ 1 8) + x1
  n__g(x1)	weight: x1
     g(x1)	weight: x1
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... removes: 1 3 5 6 2
     a()	weight: 0
  n__a()	weight: 0
activate(x1)	weight: (/ 1 4) + 2 * x1
     c(x1)	weight: x1
     f(x1)	weight: 26286 + x1
  n__f(x1)	weight: (/ 105145 8) + x1
  n__g(x1)	weight: (/ 52571 2) + x1
     g(x1)	weight: (/ 105143 4) + x1
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
Number of SCCs: 0, DPs: 0, edges: 0
YES