YES

NOTE: input TRS is reduced

original is
   4: f0(c0(),c1()) -> c0()
   5: g0(c2()) -> g0(c2())
   6: c2() -> f0(c0(),f0(c1(),c1()))

reduced to
   4: f0(c0(),c1()) -> c0()
   6: c2() -> f0(c0(),f0(c1(),c1()))

NOTE: input TRS is reduced

original is
   1: c0() -> c0()
   2: g0(g0(c0())) -> c1()
   3: g0(g0(x1)) -> g0(g0(g0(c1())))

reduced to
   2: g0(g0(c0())) -> c1()
   3: g0(g0(x1)) -> g0(g0(g0(c1())))

0.02