YES

NOTE: input TRS is reduced

original is
   2: c0() -> c0()
   3: g0(g0(c0())) -> c1()
   4: g0(g0(x2)) -> g0(g0(g0(c1())))

reduced to
   3: g0(g0(c0())) -> c1()
   4: g0(g0(x2)) -> g0(g0(g0(c1())))

0.06