Input TRS:
    1: f(|1|()) -> f(g(|1|()))
    2: f(f(x)) -> f(x)
    3: g(|0|()) -> g(f(|0|()))
    4: g(g(x)) -> g(x)
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #g(|0|()) -> #g(f(|0|()))
   #2: #g(|0|()) -> #f(|0|())
   #3: #f(|1|()) -> #f(g(|1|()))
   #4: #f(|1|()) -> #g(|1|())
Number of SCCs: 0, DPs: 0, edges: 0
YES