YES

NOTE: input TRS is reduced

original is
   3: g0(c0()) -> g0(f0(c1(),c1()))
   4: c0() -> f0(c2(),c2())
   5: c2() -> c3()
   6: c3() -> c1()
   7: c1() -> c3()

reduced to
   4: c0() -> f0(c2(),c2())
   5: c2() -> c3()
   6: c3() -> c1()
   7: c1() -> c3()

NOTE: input TRS is reduced

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

reduced to
   1: c1() -> c2()

0.01