YES

1 decompositions
 #1 -----------
   1: F(H(x1),x2) -> F(H(x1),I(I(x2)))
   2: F(x3,G(x4)) -> F(I(x3),G(x4))
   3: I(x5) -> x5

@Development Closedness
--- R
   1: F(H(x1),x2) -> F(H(x1),I(I(x2)))
   2: F(x3,G(x4)) -> F(I(x3),G(x4))
   3: I(x5) -> x5

--- S
   1: F(H(x1),x2) -> F(H(x1),I(I(x2)))
   2: F(x3,G(x4)) -> F(I(x3),G(x4))
   3: I(x5) -> x5