the segal conjecture suggests that the 2-completed $c_2$-equivariant sphere is equivalent to its homotopy completion. however, the genuine $c_2$-equivariant adams spectral sequence for the $c_2$-equivariant sphere is not isomorphic to the borel one. in this talk, i will show that the borel $c_2$-equivariant adams spectral sequence can be obtained from the genuine one through a degree shifting of the negative cone with connecting differentials shortened. i will also show that the borel $c_2$-equivariant adams spectral sequence is related to some classical adams spectral sequences, whose $e_2$-terms are computable through the curtis algorithm.