Input TRS:
    1: g(f(x,y),z) -> f(x,g(y,z))
    2: g(h(x,y),z) -> g(x,f(y,z))
    3: g(x,h(y,z)) -> h(g(x,y),z)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 2
     h(x1,x2)	weight: (/ 1 4) + x1 + x2
     f(x1,x2)	weight: (/ 1 8) + x1 + x2
     g(x1,x2)	weight: (/ 1 8) + x1 + x2
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... removes: 3
     h(x1,x2)	weight: (/ 164299 4) + x1 + x2
     f(x1,x2)	weight: (/ 82149 4) + x1 + x2
     g(x1,x2)	weight: (/ 1 4) + x1 + 2 * x2
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 1
     h(x1,x2)	weight: (/ 164299 8) + x1 + x2
     f(x1,x2)	weight: (/ 82149 4) + x1 + x2
     g(x1,x2)	weight: (/ 1 4) + 2 * x1 + 2 * x2
Number of strict rules: 0
YES