YES

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

Consider the left-linear TRS R:

  from(x) -> :(x,from(s(x)))
  sel(0(),:(y,z)) -> y
  sel(s(x),:(y,z)) -> sel(x,z)

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

  phi(from(x) -> :(x,from(s(x)))) = 1
  phi(sel(0(),:(y,z)) -> y) = 1
  phi(sel(s(x),:(y,z)) -> sel(x,z)) = 1

  psi(from(x) -> :(x,from(s(x)))) = 1
  psi(sel(0(),:(y,z)) -> y) = 1
  psi(sel(s(x),:(y,z)) -> sel(x,z)) = 1