YES

# Parallel rule labeling (Zankl et al. 2015).

Consider the left-linear TRS R:

  -(0(),0()) -> 0()
  -(s(x),0()) -> s(x)
  -(x,s(y)) -> -(d(x),y)
  d(s(x)) -> x
  -(s(x),s(y)) -> -(x,y)
  -(d(x),y) -> -(x,s(y))

All parallel critical peaks (except C's) are decreasing wrt rule labeling:

  phi(-(0(),0()) -> 0()) = 1
  phi(-(s(x),0()) -> s(x)) = 1
  phi(-(x,s(y)) -> -(d(x),y)) = 1
  phi(d(s(x)) -> x) = 2
  phi(-(s(x),s(y)) -> -(x,y)) = 3
  phi(-(d(x),y) -> -(x,s(y))) = 6

  psi(-(0(),0()) -> 0()) = 1
  psi(-(s(x),0()) -> s(x)) = 1
  psi(-(x,s(y)) -> -(d(x),y)) = 4
  psi(d(s(x)) -> x) = 5
  psi(-(s(x),s(y)) -> -(x,y)) = 5
  psi(-(d(x),y) -> -(x,s(y))) = 6