YES

(VAR x0 x)
(RULES
  v(b(w(x0))) -> a(c(w(x0)))
  d(w(x)) -> c(w(x))
  e(b(w(x))) -> a(c(w(x)))
  u(x) -> c(w(x))
  b(d(x)) -> v(b(x))
  b(c(x)) -> e(b(x))
  v(a(x)) -> a(d(x))
  e(a(x)) -> a(c(x))
)

(COMMENT
Termination is shown by KBO with weight

  w0 = 1
  w(a) = 1
  w(c) = 1
  w(e) = 1
  w(d) = 2
  w(v) = 2
  w(b) = 3
  w(u) = 3
  w(w) = 1

and precedence:

  b > e > v > a > u > d > c > w
)