YES

TRS:

  minus(minus(x)) -> x
  minux(+(x,y)) -> +(minus(y),minus(x))
  +(minus(x),+(x,y)) -> y
  +(+(x,y),minus(y)) -> x

max/plus interpretations on N:

  minus_A(x1) = max{4, 1 + x1}
  minus#_A(x1) = max{0, 3}
  minux_A(x1) = max{5, 1 + x1}
  minux#_A(x1) = max{4, 4}
  +_A(x1,x2) = max{3, 1 + x1, 1 + x2}
  +#_A(x1,x2) = max{2, 1, -1}

precedence:

  minux > + > minus