YES

(VAR x y z)
(RULES
  f(+(x,y)) -> +(f(x),f(y))
  +(+(x,y),z) -> +(x,+(y,z))
)

(COMMENT
Termination is shown by ELPO with interpretations on natural numbers

  +_A(x1,x2) = x1 + 1
  f_A(x1) = x1 + 1
  f#_A(x1) = 0

and precedence:

f > +
)