YES

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

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

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