Input TRS:
    1: f(f(X)) -> f(a(b(f(X))))
    2: f(a(g(X))) -> b(X)
    3: b(X) -> a(X)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 2
     a(x1)	weight: x1
     b(x1)	weight: x1
     f(x1)	weight: (/ 224801 8) + x1
     g(x1)	weight: (/ 1 8) + 2 * x1
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(f(X)) -> #f(a(b(f(X))))
   #2: #f(f(X)) -> #b(f(X))
Number of SCCs: 0, DPs: 0, edges: 0
YES