YES
O(n)
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: stronglylinear
  [h](X0) = + 1*X0 + 0
  [i](X0) = + 1*X0 + 1
  [s](X0) = + 1*X0 + 0
  [h1](X1, X0) = + 1*X0 + 1*X1 + 0
  [0] = + 0
  [h2](X2, X1, X0) = + 1*X0 + 1*X1 + 1*X2 + 0
  [j](X1, X0) = + 1*X0 + 1*X1 + 3
  [k](X0) = + 1*X0 + 1
  [f](X1, X0) = + 1*X0 + 1*X1 + 2
  [g](X0) = + 1*X0 + 1
  
  Qed