Input TRS:
    1: norm(nil()) -> |0|()
    2: norm(g(x,y)) -> s(norm(x))
    3: f(x,nil()) -> g(nil(),x)
    4: f(x,g(y,z)) -> g(f(x,y),z)
    5: rem(nil(),y) -> nil()
    6: rem(g(x,y),|0|()) -> g(x,y)
    7: rem(g(x,y),s(z)) -> rem(x,z)
Number of strict rules: 7
Direct Order(PosReal,>,Poly) ... removes: 4 1 3 5 7 6 2
   |0|()	weight: 0
     s(x1)	weight: (/ 122449 4) + x1
  norm(x1)	weight: (/ 1 4) + x1
     f(x1,x2)	weight: (/ 122451 4) + 2 * x1 + 2 * x2
   nil()	weight: 0
   rem(x1,x2)	weight: (/ 1 4) + 2 * x1 + 2 * x2
     g(x1,x2)	weight: (/ 61225 2) + x1 + x2
Number of strict rules: 0
YES