YES

# strong closedness (Huet 1980)

Consider the left-linear TRS R:

  H(F(x,y)) -> F(H(R(x)),y)
  F(x,K(y,z)) -> G(P(y),Q(z,x))
  H(Q(x,y)) -> Q(x,H(R(y)))
  Q(x,H(R(y))) -> H(Q(x,y))
  H(G(x,y)) -> G(x,H(y))

R is linear and every critical pair is strongly closed