YES

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

Consider the left-linear TRS R:

  f(g(h(x))) -> g(f(h(g(x))))
  f(x) -> x
  g(x) -> x
  h(x) -> x

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

  phi(f(g(h(x))) -> g(f(h(g(x))))) = 2
  phi(f(x) -> x) = 1
  phi(g(x) -> x) = 1
  phi(h(x) -> x) = 1

  psi(f(g(h(x))) -> g(f(h(g(x))))) = 2
  psi(f(x) -> x) = 1
  psi(g(x) -> x) = 1
  psi(h(x) -> x) = 1