YES

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

Consider the left-linear TRS R:

  F(c(x)) -> G(x)
  G(x) -> F(x)
  c(x) -> x

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

  phi(F(c(x)) -> G(x)) = 2
  phi(G(x) -> F(x)) = 1
  phi(c(x) -> x) = 2

  psi(F(c(x)) -> G(x)) = 2
  psi(G(x) -> F(x)) = 1
  psi(c(x) -> x) = 2