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
   |0|()	weight: 0
     s(x1)	weight: (/ 17711 2) + x1
average(x1,x2)	weight: (/ 1 2) + x1 + x2
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 1
   |0|()	weight: 0
     s(x1)	weight: (/ 1 16) + x1
average(x1,x2)	weight: (/ 1 16) + 2 * x1 + x2
Number of strict rules: 0
YES