YES

NOTE: input TRS is reduced

original is
   3: c0() -> c1()
   4: c0() -> c2()
   5: c0() -> c4()
   6: c1() -> c3()
   7: c2() -> c0()
   8: c3() -> c0()
   9: c3() -> c4()
  10: g0(x2) -> g1(c0())
  11: g1(x3) -> c4()

reduced to
   3: c0() -> c1()
   4: c0() -> c2()
   6: c1() -> c3()
   7: c2() -> c0()
   8: c3() -> c0()
   9: c3() -> c4()
  10: g0(x2) -> g1(c0())
  11: g1(x3) -> c4()

0.07