YES

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

Consider the left-linear TRS R:

  a() -> f(c())
  c() -> c()

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

  phi(a() -> f(c())) = 1
  phi(c() -> c()) = 1

  psi(a() -> f(c())) = 1
  psi(c() -> c()) = 1