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