YES

NOTE: input TRS is reduced

original is
   5: c2() -> g0(f0(c1(),c1()))
   6: c2() -> c1()
   7: c1() -> c1()
   8: c2() -> c0()

reduced to
   5: c2() -> g0(f0(c1(),c1()))
   6: c2() -> c1()
   8: c2() -> c0()

0.01