YES

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

Consider the left-linear TRS R:

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

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

  phi(-(+(x,y)) -> +(-(x),-(y))) = 1
  phi(+(x,y) -> +(y,x)) = 3
  phi(+(+(x,y),z) -> +(x,+(y,z))) = 3

  psi(-(+(x,y)) -> +(-(x),-(y))) = 2
  psi(+(x,y) -> +(y,x)) = 4
  psi(+(+(x,y),z) -> +(x,+(y,z))) = 5