YES

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

Consider the left-linear TRS R:

  F(x,y) -> c(A())
  G(x) -> x
  h(x) -> c(x)

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

  phi(F(x,y) -> c(A())) = 1
  phi(G(x) -> x) = 1
  phi(h(x) -> c(x)) = 1

  psi(F(x,y) -> c(A())) = 1
  psi(G(x) -> x) = 1
  psi(h(x) -> c(x)) = 1