YES

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

Consider the left-linear TRS R:

  a() -> b()
  f(a()) -> g(a())
  f(b()) -> g(b())

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

  phi(a() -> b()) = 3
  phi(f(a()) -> g(a())) = 2
  phi(f(b()) -> g(b())) = 1

  psi(a() -> b()) = 2
  psi(f(a()) -> g(a())) = 1
  psi(f(b()) -> g(b())) = 2