NO

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

unjoinable peak
    b(b(c(x)))
*<- b(a(a(x))) ->*
    a(x)