YES

(VAR x0 z)
(RULES
  w(i(g(c(x0)))) -> h(c(x0))
  e(f(c(z))) -> i(g(c(z)))
  a(z) -> i(y(z))
  y(b(z)) -> g(z)
  x(h(j(g(z)))) -> x(h(z))
  w(e(z)) -> h(j(z))
  j(f(z)) -> z
  u(z) -> x(w(i(y(z))))
  o(z) -> x(h(c(z)))
  x(w(d(z))) -> x(w(i(z)))
  d(g(c(z))) -> e(g(c(z)))
)

(COMMENT
Termination is shown by KBO with weight

  w0 = 1
  w(x) = 1
  w(w) = 1
  w(e) = 1
  w(f) = 2
  w(g) = 1
  w(c) = 1
  w(d) = 2
  w(i) = 1
  w(u) = 7
  w(b) = 2
  w(o) = 9
  w(a) = 3
  w(j) = 1
  w(h) = 1
  w(y) = 1

and precedence:

  x > a > i > e > w > h > f > y > g > d > c > u > o > b > j
)