I will give a summary about our recent results on the coinvariant space of symmetric functions in super space. In particular, we try to find a suitable monomial order and construct a linear basis in the quotient. I will give a brief review on the Aval-Bergon-Bergeron proof of $dim(R[x_1,\dots,x_n]/\langle QSym^+\rangle) = Catalan_n$, and we try to extend their technique for our super coninvariants and set-compositions.