YES

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

Consider the left-linear TRS R:

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

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

  phi(a() -> c()) = 1
  phi(c() -> a()) = 3
  phi(c() -> h(a(),c())) = 2

  psi(a() -> c()) = 1
  psi(c() -> a()) = 3
  psi(c() -> h(a(),c())) = 2