Input TRS:
    1: g(a()) -> g(b())
    2: b() -> f(a(),a())
    3: f(a(),a()) -> g(d())
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing f g
1: g❆1_a() -> g(b())
2: b() -> f❆1_a(a())
3: f❆1_a(a()) -> g❆1_d()
4: g(a()) ->= g❆1_a()
5: g(d()) ->= g❆1_d()
6: f(a(),_1) ->= f❆1_a(_1)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 6
     a()	weight: 0
g❆1_a()	weight: 0
     d()	weight: 0
     b()	weight: 0
g❆1_d()	weight: 0
     f(x1,x2)	weight: (/ 1 2) + x1 + x2
f❆1_a(x1)	weight: x1
     g(x1)	weight: x1
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #b() -> #f❆1_a(a())
   #2: #g❆1_a() -> #g(b())
   #3: #g❆1_a() -> #b()
   #4: #g(a()) ->? #g❆1_a()
Number of SCCs: 0, DPs: 0, edges: 0
YES