Input TRS:
    1: f(a()) -> b()
    2: f(c()) -> d()
    3: f(g(x,y)) -> g(f(x),f(y))
    4: f(h(x,y)) -> g(h(y,f(x)),h(x,f(y)))
    5: g(x,x) -> h(e(),x)
Number of strict rules: 5
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(g(x,y)) -> #g(f(x),f(y))
   #2: #f(g(x,y)) -> #f(x)
   #3: #f(g(x,y)) -> #f(y)
   #4: #f(h(x,y)) -> #g(h(y,f(x)),h(x,f(y)))
   #5: #f(h(x,y)) -> #f(x)
   #6: #f(h(x,y)) -> #f(y)
Number of SCCs: 1, DPs: 4, edges: 16
	SCC { #2 #3 #5 #6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     h(x1,x2)	weight: (/ 1 2) + x1 + x2
     d()	weight: 0
     b()	weight: 0
     c()	weight: 0
     f(x1)	weight: 0
   #f(x1)	weight: x1
   #g(x1,x2)	weight: 0
     e()	weight: 0
     g(x1,x2)	weight: (/ 1 2) + x1 + x2
    Usable rules: { }
    Removed DPs: #2 #3 #5 #6
Number of SCCs: 0, DPs: 0, edges: 0
YES