YES

(VAR x y w)
(RULES
  response(compose(x,y),w) -> response(x,response(y,w))
)

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

  response_A(x1,x2) = 1
  compose_A(x1,x2) = 1
  response#_A(x1,x2) = 0
  compose#_A(x1,x2) = x1 + x2

and precedence:

compose > response
)