YES

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

Consider the left-linear TRS R:

  b() -> c()
  a() -> a()

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

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

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