YES

NOTE: input TRS is reduced

original is
   6: g0(g0(g0(x1))) -> c0()
   7: g0(g0(c0())) -> c0()
   8: g0(c0()) -> c0()
   9: g0(g0(g1(g1(x2)))) -> g0(c0())
  10: g1(g0(c0())) -> c0()
  11: g1(c0()) -> c0()

reduced to
   6: g0(g0(g0(x1))) -> c0()
   8: g0(c0()) -> c0()
   9: g0(g0(g1(g1(x2)))) -> g0(c0())
  11: g1(c0()) -> c0()

0.07