YES

1 decompositions
 #0 -----------
   1: a(x) -> x
   2: a(a(x)) -> b(c(x))
   3: b(x) -> x
   4: c(x) -> x
   5: c(b(x)) -> b(a(c(x)))

@Simultaneous Critical Pair
--- R
   1: a(x) -> x
   2: a(a(x)) -> b(c(x))
   3: b(x) -> x
   4: c(x) -> x
   5: c(b(x)) -> b(a(c(x)))

--- S
   1: a(x) -> x
   2: a(a(x)) -> b(c(x))
   3: b(x) -> x
   4: c(x) -> x
   5: c(b(x)) -> b(a(c(x)))