YES

1 decompositions
 #0 -----------
   1: f(g(x)) -> h(x,x)
   2: g(a()) -> b()
   3: f(x) -> h(x,x)
   4: b() -> a()
   5: h(x,y) -> h(g(x),g(y))
   6: g(x) -> x
   7: a() -> b()

@Development Closedness
--- R
   1: f(g(x)) -> h(x,x)
   2: g(a()) -> b()
   3: f(x) -> h(x,x)
   4: b() -> a()
   5: h(x,y) -> h(g(x),g(y))
   6: g(x) -> x
   7: a() -> b()

--- S
   1: f(g(x)) -> h(x,x)
   2: g(a()) -> b()
   3: f(x) -> h(x,x)
   4: b() -> a()
   5: h(x,y) -> h(g(x),g(y))
   6: g(x) -> x
   7: a() -> b()