YES

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

Consider the left-linear TRS R:

  W(B(x)) -> W(x)
  B(I(x)) -> J(x)
  W(I(x)) -> W(J(x))

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

  phi(W(B(x)) -> W(x)) = 2
  phi(B(I(x)) -> J(x)) = 2
  phi(W(I(x)) -> W(J(x))) = 1

  psi(W(B(x)) -> W(x)) = 2
  psi(B(I(x)) -> J(x)) = 2
  psi(W(I(x)) -> W(J(x))) = 1