YES
O(n^2)
TRS:
 {
            g(h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)),
                   f(x, h1(y, z)) -> h2(0(), x, h1(y, z)),
                    f(j(x, y), y) -> g(f(x, k(y))),
                      k(h1(x, y)) -> h1(s(x), y),
                          k(h(x)) -> h1(0(), x),
  h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)),
                    i(f(x, h(y))) -> y,
         i(h2(s(x), y, h1(x, z))) -> z
 }
 Natural interpretation:
  Strict:
   {
              g(h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)),
                     f(x, h1(y, z)) -> h2(0(), x, h1(y, z)),
                      f(j(x, y), y) -> g(f(x, k(y))),
                        k(h1(x, y)) -> h1(s(x), y),
                            k(h(x)) -> h1(0(), x),
    h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)),
                      i(f(x, h(y))) -> y,
           i(h2(s(x), y, h1(x, z))) -> z
   }
  Weak:
   {}
  Interpretation class: deltarestricted
  [h](delta, X0) = + 1*X0 + 0 + 0*X0*delta + 0*delta
  [i](delta, X0) = + 1*X0 + 0 + 0*X0*delta + 0*delta
  [s](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta
  [h1](delta, X1, X0) = + 1*X0 + 0*X1 + 0 + 0*X0*delta + 1*X1*delta + 0*delta
  [0](delta) = + 0 + 0*delta
  [h2](delta, X2, X1, X0) = + 1*X0 + 1*X1 + 0*X2 + 0 + 0*X0*delta + 0*X1*delta + 1*X2*delta + 2*delta
  [j](delta, X1, X0) = + 1*X0 + 1*X1 + 0 + 0*X0*delta + 0*X1*delta + 3*delta
  [k](delta, X0) = + 1*X0 + 0 + 0*X0*delta + 1*delta
  [f](delta, X1, X0) = + 1*X0 + 1*X1 + 0 + 0*X0*delta + 0*X1*delta + 3*delta
  [g](delta, X0) = + 1*X0 + 0 + 0*X0*delta + 1*delta
  h_tau_1(delta) = delta/(1 + 0 * delta)
  i_tau_1(delta) = delta/(1 + 0 * delta)
  s_tau_1(delta) = delta/(0 + 1 * delta)
  h1_tau_1(delta) = delta/(0 + 1 * delta)h1_tau_2(delta) = delta/(1 + 0 * delta)
  
  h2_tau_1(delta) = delta/(0 + 1 * delta)h2_tau_2(delta) = delta/(1 + 0 * delta)h2_tau_3(delta) = delta/(1 + 0 * delta)
  j_tau_1(delta) = delta/(1 + 0 * delta)j_tau_2(delta) = delta/(1 + 0 * delta)
  k_tau_1(delta) = delta/(1 + 0 * delta)
  f_tau_1(delta) = delta/(1 + 0 * delta)f_tau_2(delta) = delta/(1 + 0 * delta)
  g_tau_1(delta) = delta/(1 + 0 * delta)
  
  Qed