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