  In this work, we expand and test the capabilities of our recently developed
super-resolution (SR) model to generate high-resolution (HR) realizations of
the full phase-space matter distribution, including both displacement and
velocity, from computationally cheap low-resolution (LR) cosmological N-body
simulations. The SR model enhances the simulation resolution by generating 512
times more tracer particles, extending into the deeply non-linear regime where
complex structure formation processes take place. We validate the SR model by
deploying the model in 10 test simulations of box size 100 Mpc/h, and examine
the matter power spectra, bispectra and 2D power spectra in redshift space. We
find the generated SR field matches the true HR result at percent level down to
scales of k ~ 10 h/Mpc. We also identify and inspect dark matter halos and
their substructures. Our SR model generate visually authentic small-scale
structures, that cannot be resolved by the LR input, and are in good
statistical agreement with the real HR results. The SR model performs
satisfactorily on the halo occupation distribution, halo correlations in both
real and redshift space, and the pairwise velocity distribution, matching the
HR results with comparable scatter, thus demonstrating its potential in making
mock halo catalogs. The SR technique can be a powerful and promising tool for
modelling small-scale galaxy formation physics in large cosmological volumes.
