YES

NOTE: input TRS is reduced

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

reduced to
   6: c1() -> f0(g0(g0(g0(c1()))),f0(c1(),g0(c0())))

NOTE: input TRS is reduced

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

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

0.01