Input TRS:
    1: f(x,y) -> g(x,y)
    2: g(h(x),y) -> h(f(x,y))
    3: g(h(x),y) -> h(g(x,y))
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 1 3 2
     h(x1)	weight: (/ 1 4) + x1
     f(x1,x2)	weight: (/ 1 4) + 2 * x1 + x2
     g(x1,x2)	weight: (/ 1 8) + 2 * x1 + x2
Number of strict rules: 0
YES