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