YES

NOTE: input TRS is reduced

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

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

NOTE: input TRS is reduced

original is
   1: c1() -> f0(c1(),c2())
   2: c2() -> c0()
   3: c0() -> g0(c0())
   4: c1() -> c2()
   5: c1() -> c1()

reduced to
   1: c1() -> f0(c1(),c2())
   2: c2() -> c0()
   3: c0() -> g0(c0())
   4: c1() -> c2()

0.02