YES

1 decompositions
 #0 -----------
   1: f(g(h(x))) -> g(f(h(g(x))))
   2: f(x) -> x
   3: g(x) -> x
   4: h(x) -> x

@Simultaneous Critical Pair
--- R
   1: f(g(h(x))) -> g(f(h(g(x))))
   2: f(x) -> x
   3: g(x) -> x
   4: h(x) -> x

--- S
   1: f(g(h(x))) -> g(f(h(g(x))))
   2: f(x) -> x
   3: g(x) -> x
   4: h(x) -> x