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()

NOTE: input TRS is reduced

original is
   1: c1() -> f0(c1(),c2())
   2: c2() -> c0()
   3: c0() -> g0(c0())
   4: c1() -> c2()
   5: c1() -> c1()

reduced to
   1: c1() -> f0(c1(),c2())
   2: c2() -> c0()
   3: c0() -> g0(c0())
   4: c1() -> c2()

0.02