YES

---- CR(R)
---- Hot decreasingness.
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))

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

Label:
[H(F(x,y)) -> F(H(R(x)),y)] = 0
[H(Q(x,y)) -> Q(x,H(R(y)))] = 0
[H(G(x,y)) -> G(x,H(y))] = 0