YES
Time: 0.511937
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}
 DP:
  DP:
   {           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),
                      f#(j(x, y), y) -> f#(x, k y),
                      f#(j(x, y), y) -> k# y,
    h2#(x, j(y, h1(z, u)), h1(z, u)) -> h2#(s x, y, h1(s z, u))}
  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}
  EDG:
   {(g# h2(x, y, h1(z, u)) -> h2#(s x, y, h1(z, u)), h2#(x, j(y, h1(z, u)), h1(z, u)) -> h2#(s x, y, h1(s z, u)))
    (h2#(x, j(y, h1(z, u)), h1(z, u)) -> h2#(s x, y, h1(s z, u)), h2#(x, j(y, h1(z, u)), h1(z, u)) -> h2#(s x, y, h1(s z, u)))
    (f#(j(x, y), y) -> g# f(x, k y), g# h2(x, y, h1(z, u)) -> h2#(s x, y, h1(z, u)))
    (f#(j(x, y), y) -> f#(x, k y), f#(x, h1(y, z)) -> h2#(0(), x, h1(y, z)))
    (f#(j(x, y), y) -> f#(x, k y), f#(j(x, y), y) -> g# f(x, k y))
    (f#(j(x, y), y) -> f#(x, k y), f#(j(x, y), y) -> f#(x, k y))
    (f#(j(x, y), y) -> f#(x, k y), f#(j(x, y), y) -> k# y)
    (f#(x, h1(y, z)) -> h2#(0(), x, h1(y, z)), h2#(x, j(y, h1(z, u)), h1(z, u)) -> h2#(s x, y, h1(s z, u)))}
   EDG:
    {(g# h2(x, y, h1(z, u)) -> h2#(s x, y, h1(z, u)), h2#(x, j(y, h1(z, u)), h1(z, u)) -> h2#(s x, y, h1(s z, u)))
     (h2#(x, j(y, h1(z, u)), h1(z, u)) -> h2#(s x, y, h1(s z, u)), h2#(x, j(y, h1(z, u)), h1(z, u)) -> h2#(s x, y, h1(s z, u)))
     (f#(j(x, y), y) -> g# f(x, k y), g# h2(x, y, h1(z, u)) -> h2#(s x, y, h1(z, u)))
     (f#(j(x, y), y) -> f#(x, k y), f#(x, h1(y, z)) -> h2#(0(), x, h1(y, z)))
     (f#(j(x, y), y) -> f#(x, k y), f#(j(x, y), y) -> g# f(x, k y))
     (f#(j(x, y), y) -> f#(x, k y), f#(j(x, y), y) -> f#(x, k y))
     (f#(j(x, y), y) -> f#(x, k y), f#(j(x, y), y) -> k# y)
     (f#(x, h1(y, z)) -> h2#(0(), x, h1(y, z)), h2#(x, j(y, h1(z, u)), h1(z, u)) -> h2#(s x, y, h1(s z, u)))}
    EDG:
     {(f#(j(x, y), y) -> g# f(x, k y), g# h2(x, y, h1(z, u)) -> h2#(s x, y, h1(z, u)))
      (f#(j(x, y), y) -> f#(x, k y), f#(x, h1(y, z)) -> h2#(0(), x, h1(y, z)))}
     STATUS:
      arrows: 0.944444
      SCCS (0):