YES

---- CR(R)
---- R : linear and strongly closed [Huet, 1980]
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))
CP(R):
H(G(P(___y23),Q(___y24,___y22))) -> F(H(R(___y22)),K(___y23,___y24))
H(H(Q(___y78,___y79))) -> Q(___y78,H(R(H(R(___y79)))))