YES

1 decompositions
 #1 -----------
   1: F(H(x1),x2) -> F(H(x1),I(I(x2)))
   2: F(x1,G(x2)) -> F(I(x1),G(x2))
   3: I(x1) -> x1

@Development Closedness
--- R
   1: F(H(x1),x2) -> F(H(x1),I(I(x2)))
   2: F(x1,G(x2)) -> F(I(x1),G(x2))
   3: I(x1) -> x1

--- S
   1: F(H(x1),x2) -> F(H(x1),I(I(x2)))
   2: F(x1,G(x2)) -> F(I(x1),G(x2))
   3: I(x1) -> x1