Input TRS:
    1: average(s(x),y) -> average(x,s(y))
    2: average(x,s(s(s(y)))) -> s(average(s(x),y))
    3: average(0(),0()) -> 0()
    4: average(0(),s(0())) -> 0()
    5: average(0(),s(s(0()))) -> s(0())
Number of strict rules: 5
Direct Order(PosReal,>,Poly) ... removes: 4 3 5 2
     s(x1)	weight: (/ 17711 2) + x1
average(x1,x2)	weight: (/ 1 2) + x1 + x2
     0()	weight: 0
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 1
     s(x1)	weight: (/ 1 16) + x1
average(x1,x2)	weight: (/ 1 16) + 2 * x1 + x2
     0()	weight: 0
Number of strict rules: 0
YES