YES

1 decompositions
 #1 -----------
   2: b() -> h(f(f(f(b()))),h(b(),f(a())))

@Development Closedness
--- R
   2: b() -> h(f(f(f(b()))),h(b(),f(a())))

--- S
   2: b() -> h(f(f(f(b()))),h(b(),f(a())))


NOTE: input TRS is reduced

original is
   1: a() -> a()
   2: b() -> h(f(f(f(b()))),h(b(),f(a())))

reduced to
   2: b() -> h(f(f(f(b()))),h(b(),f(a())))