Input TRS:
    1: i(|0|()) -> |0|()
    2: +(|0|(),y) -> y
    3: +(x,|0|()) -> x
    4: i(i(x)) -> x
    5: +(i(x),x) -> |0|()
    6: +(x,i(x)) -> |0|()
    7: i(+(x,y)) -> +(i(x),i(y))
    8: +(x,+(y,z)) -> +(+(x,y),z)
    9: +(+(x,i(y)),y) -> x
    10: +(+(x,y),i(y)) -> x
Number of strict rules: 10
Direct Order(PosReal,>,Poly) ... removes: 4 1 3 5 10 7 9 6 2
   |0|()	weight: 0
     i(x1)	weight: 8856 + 2 * x1
     +(x1,x2)	weight: 8857 + x1 + x2
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 8
   |0|()	weight: 0
     i(x1)	weight: (/ 8857 2) + 2 * x1
     +(x1,x2)	weight: 8857 + x1 + 2 * x2
Number of strict rules: 0
YES