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