YES

NOTE: input TRS is reduced

original is
   1: c0() -> c0()
   2: c1() -> f0(g0(g0(g0(c1()))),f0(c1(),g0(c0())))

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

0.02