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
   |0|()	weight: 0
   |1|()	weight: 0
     i(x1)	weight: (/ 1 4) + x1
     *(x1,x2)	weight: (/ 115829 4) + x1 + x2
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 4
   |0|()	weight: 0
   |1|()	weight: 0
     i(x1)	weight: (/ 1 4) + x1
     *(x1,x2)	weight: (/ 115829 4) + 2 * x1 + x2
Number of strict rules: 0
YES