YES

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

(COMMENT
Termination is shown by ELPO with interpretations on natural numbers

  x_A(x1) = 0
  w_A(x1) = x1 + 1
  e_A(x1) = x1 + 1
  f_A(x1) = x1
  g_A(x1) = x1 + 1
  c_A(x1) = 1
  d_A(x1) = 4
  i_A(x1) = 5
  u_A(x1) = x1
  b_A(x1) = x1 + 1
  o_A(x1) = x1 + 3
  a_A(x1) = x1 + 6
  j_A(x1) = x1 + 1
  h_A(x1) = x1 + 1
  y_A(x1) = x1
  x#_A(x1) = x1
  w#_A(x1) = x1
  e#_A(x1) = x1
  f#_A(x1) = x1
  g#_A(x1) = x1
  c#_A(x1) = x1
  d#_A(x1) = x1
  i#_A(x1) = x1
  u#_A(x1) = x1
  b#_A(x1) = x1
  o#_A(x1) = x1
  a#_A(x1) = x1
  j#_A(x1) = x1
  h#_A(x1) = x1
  y#_A(x1) = x1

and precedence:

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