YES

(VAR x)
(RULES
  v(b(w(x))) -> a(d(w(x)))
  c(w(x)) -> d(w(x))
  e(b(w(x))) -> a(d(w(x)))
  u(x) -> d(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 ELPO with interpretations on natural numbers

  a_A(x1) = 0
  c_A(x1) = 0
  e_A(x1) = 1
  d_A(x1) = 0
  v_A(x1) = 0
  b_A(x1) = 2
  u_A(x1) = 1
  w_A(x1) = 0
  a#_A(x1) = 0
  c#_A(x1) = x1
  e#_A(x1) = x1
  d#_A(x1) = x1
  v#_A(x1) = x1
  u#_A(x1) = x1
  w#_A(x1) = x1

and precedence:

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