Input TRS:
    1: f(f(X)) -> c(n__f(g(n__f(X))))
    2: c(X) -> d(activate(X))
    3: h(X) -> c(n__d(X))
    4: f(X) -> n__f(X)
    5: d(X) -> n__d(X)
    6: activate(n__f(X)) -> f(X)
    7: activate(n__d(X)) -> d(X)
    8: activate(X) -> X
Number of strict rules: 8
Direct Order(PosReal,>,Poly) ... removes: 4 8 1 3 5 7 6 2
     h(x1)	weight: (/ 127841 4) + 2 * x1
     d(x1)	weight: (/ 94377 8) + x1
activate(x1)	weight: (/ 161303 8) + x1
     c(x1)	weight: (/ 255681 8) + x1
     f(x1)	weight: (/ 161303 8) + x1
  n__f(x1)	weight: (/ 1 8) + x1
  n__d(x1)	weight: x1
     g(x1)	weight: (/ 33461 4) + x1
Number of strict rules: 0
YES