YES

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

Consider the left-linear TRS R:

  h(c(),c()) -> h(b(),f(b()))
  f(h(a(),h(c(),a()))) -> c()
  h(c(),b()) -> f(a())

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

  phi(h(c(),c()) -> h(b(),f(b()))) = 1
  phi(f(h(a(),h(c(),a()))) -> c()) = 1
  phi(h(c(),b()) -> f(a())) = 1

  psi(h(c(),c()) -> h(b(),f(b()))) = 1
  psi(f(h(a(),h(c(),a()))) -> c()) = 1
  psi(h(c(),b()) -> f(a())) = 1