Input TRS:
    1: f(a(),x) -> g(a(),x)
    2: g(a(),x) -> f(b(),x)
    3: f(a(),x) -> f(b(),x)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing f g
1: f❆1_a(x) -> g❆1_a(x)
2: g❆1_a(x) -> f❆1_b(x)
3: f❆1_a(x) -> f❆1_b(x)
4: g(a(),_1) ->= g❆1_a(_1)
5: f(a(),_1) ->= f❆1_a(_1)
6: f(b(),_1) ->= f❆1_b(_1)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 4 1 3 5 6 2
     a()	weight: 0
g❆1_a(x1)	weight: (/ 1 4) + x1
     b()	weight: 0
     f(x1,x2)	weight: (/ 3 4) + x1 + x2
f❆1_b(x1)	weight: x1
f❆1_a(x1)	weight: (/ 1 2) + x1
     g(x1,x2)	weight: (/ 1 2) + x1 + x2
Number of strict rules: 0
YES