YES

TRS:

  +(-(x,y),z) -> -(+(x,z),y)
  -(+(x,y),y) -> x

linear polynomial interpretations on N:

  +_A(x1,x2) = x1 + 1
  +#_A(x1,x2) = x1 + x2 + 1
  -_A(x1,x2) = x1 + x2 + 1
  -#_A(x1,x2) = x1

precedence:

  + = -