YES

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

Consider the left-linear TRS R:

  f(i(x),g(a())) -> f(j(x,x),g(b()))
  b() -> a()
  i(x) -> j(x,x)

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

  phi(f(i(x),g(a())) -> f(j(x,x),g(b()))) = 2
  phi(b() -> a()) = 1
  phi(i(x) -> j(x,x)) = 2

  psi(f(i(x),g(a())) -> f(j(x,x),g(b()))) = 2
  psi(b() -> a()) = 1
  psi(i(x) -> j(x,x)) = 2