  The recent observation of superconductivity at relatively high temperatures
in hole doped NdNiO$_2$ has generated considerable interest, particularly due
to its similarity with the infinite layer cuprates. Building on the observation
that the Ni$^{2+}$ ions resulting from hole doping are commonly found in the
spin-triplet state, we introduce and study a variant of the $t-J$ model in
which the holes carry S=1. We name this new model the Type II $t-J$ model. We
find two distinct mechanisms for $d$ wave superconductivity. In both scenarios
the pairing is driven by the spin coupling $J$. However, coherence is gained in
distinct ways in these two scenarios. In the first case, the spin-one holes
condense leading to a $d$ wave superconductor along with spin-symmetry
breaking. Different orders including spin-nematic orders are possible. This
scenario is captured by a spin one slave boson theory. In the second scenario,
a coherent and symmetric $d$ wave superconductor is achieved from "Kondo
resonance": spin one holes contribute two electrons to form large Fermi surface
together with the spin 1/2 singly occupied sites. The large Fermi surface then
undergoes $d$ wave pairing because of spin coupling $J$, similar to heavy
fermion superconductor. We propose a three-fermion parton theory to treat these
two different scenarios in one unified framework and calculate its doping phase
diagram within a self consistent mean field approximation. Our study shows that
a combination of "cuprate physics" and "heavy fermion physics" may emerge in
the type II $t-J$ model.
