Input TRS:
    1: t(f(x),g(y),f(z)) -> t(z,g(x),g(y))
    2: t(g(x),g(y),f(z)) -> t(f(y),f(z),x)
    3: f(g(x)) ->= g(f(x))
    4: g(f(x)) ->= f(g(x))
    5: f(f(x)) ->= g(g(x))
    6: g(g(x)) ->= f(f(x))
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... removes: 1 2
     t(x1,x2,x3)	weight: x3 + x2 + x1
     f(x1)	weight: 30613 + 2 * x1
     g(x1)	weight: 30613 + 2 * x1
Number of strict rules: 0
YES