YES

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

Consider the left-linear TRS R:

  +(x,y) -> +(y,x)

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

  phi(+(x,y) -> +(y,x)) = 1

  psi(+(x,y) -> +(y,x)) = 1