If you started antipsychotics for schizophrenia and they work, do not stop them because of cognitive deficits. An hypodopaminergic tone in most regions in the brain except the striatum which is hyperdopaminergic is normal for schizophrenia and it is responsible for the negative symptoms and partially for hallucinations. Invega exacerbates this hypodopaminergic state in favor of rebalancing striatum.
Abilify fixes it by being a partial agonist instead of antagonist, so you can try switching to it. Cognitive deficits should get better than invega, or even better than baseline. If you still want improvement you can very carefully add lisdexamphetamine to the treatment ALWAYS when you are already stable on antipsychotics. With lisdexamphetamine you can rebalance all hypodopaminergic regions and so treat all the negative symptoms of schizophrenia, while still having protection from positive symptoms by antipsychotics.
The lack of treatment for negative symptoms contributes to the reason of why some schizophrenics do still have positive symptoms when on antipsychotics. For example because the hypodopaminergic tone is associated to hearing problems, it goes in synergy with positive symptoms since the brain is forced to predict a lot aka hallucinate to understand the confused stuff it hears. but psychiatrists don't even know if they're alive, so this isn't being addressed as it should be.
Whatever you choose, I don't think just don't taking nothing is a good solution for a schizophrenic patient because there is good potential of a extremely high quality of life thanks to the right treatment.
Some source if the logical explaination isn't enough:
https://www.nature.com/articles/npp2013111