Input TRS:
    1: a() -> g(c())
    2: g(a()) -> b()
    3: f(g(X),b()) -> f(a(),X)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(g(X),b()) -> #f(a(),X)
   #2: #f(g(X),b()) -> #a()
   #3: #a() -> #g(c())
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded.
     a()	weight: (/ 1 8)
     b()	weight: (/ 3 8)
     c()	weight: (/ 1 8)
     f(x1,x2)	weight: 0
   #f(x1,x2)	weight: max{(/ 1 8) + x2, (/ 1 4) + x1}
   #g(x1)	weight: 0
   #a()	weight: 0
     g(x1)	weight: x1
    Usable rules: { 1 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0, edges: 0
YES