Input TRS:
    1: f(f(x,y,z),u,f(x,y,v)) -> f(x,y,f(z,u,v))
    2: f(x,y,y) -> y
    3: f(x,y,g(y)) -> x
    4: f(x,x,y) -> x
    5: f(g(x),x,y) -> y
Number of strict rules: 5
Direct Order(PosReal,>,Poly) ... removes: 4 1 3 5 2
     f(x1,x2,x3)	weight: (/ 45169 4) + x1 + 2 * x2 + x3
     g(x1)	weight: (/ 1 4) + 2 * x1
Number of strict rules: 0
YES