YES

TRS:

  app(app(F(),app(app(F(),f),x)),x) -> app(app(F(),app(G(),app(app(F(),f),x))),app(f,x))

max/plus interpretations on N:

  app_A(x1,x2) = max{7, 22 + x1, -4 + x2}
  app#_A(x1,x2) = max{7, -2 + x1, 7}
  F_A = 1
  F#_A = 6
  G_A = 8
  G#_A = 0

precedence:

  app > F > G