 Both of the latter propositions are about Paul indirectly, in virtue of the properties he contingently has (namely, being to David's right at t and being demonstrated at t by David, respectively). Now consider a counterfactual circumstance in which Paul and Charles have switched places but in which everything else about them remained the same, consistent with this switch, and, in particular, in which Paul still lived in New Jersey and Charles in Illinois. p is true at this circumstance, as Paul lives in New Jersey, while the propositions expressed by (2) and (3) are false at this circumstance, as Charles is both to David's right and demonstrated by David and he doesn't live in New Jersey. So, p is distinct from the propositions expressed by (2) and (3).