YES

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

Consider the left-linear TRS R:

  +(0(),y) -> y
  +(x,0()) -> x
  +(s(x),y) -> s(+(y,x))
  +(x,s(y)) -> s(+(y,x))
  +(x,+(y,z)) -> +(+(x,y),z)
  +(x,y) -> +(y,x)

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

  phi(+(0(),y) -> y) = 6
  phi(+(x,0()) -> x) = 6
  phi(+(s(x),y) -> s(+(y,x))) = 4
  phi(+(x,s(y)) -> s(+(y,x))) = 4
  phi(+(x,+(y,z)) -> +(+(x,y),z)) = 9
  phi(+(x,y) -> +(y,x)) = 5

  psi(+(0(),y) -> y) = 3
  psi(+(x,0()) -> x) = 2
  psi(+(s(x),y) -> s(+(y,x))) = 8
  psi(+(x,s(y)) -> s(+(y,x))) = 1
  psi(+(x,+(y,z)) -> +(+(x,y),z)) = 7
  psi(+(x,y) -> +(y,x)) = 1