Input TRS:
    1: *(i(x),x) -> 1()
    2: *(1(),y) -> y
    3: *(x,0()) -> 0()
    4: *(*(x,y),z) -> *(x,*(y,z))
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... removes: 1 3 2
     1()	weight: 0
     0()	weight: 0
     i(x1)	weight: (/ 1 4) + x1
     *(x1,x2)	weight: (/ 94701 4) + x1 + x2
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 4
     1()	weight: 0
     0()	weight: 0
     i(x1)	weight: (/ 1 4) + x1
     *(x1,x2)	weight: (/ 94701 4) + 2 * x1 + x2
Number of strict rules: 0
YES