YES

NOTE: input TRS is reduced

original is
   6: c2() -> c1()
   7: c0() -> c0()
   8: c1() -> c1()
   9: g0(g0(c0())) -> c2()

reduced to
   6: c2() -> c1()
   9: g0(g0(c0())) -> c2()

0.02