The paper presents how the Random PROLOG Processor (RPP), a bio-inspired model of computations, can be used for formalization and analysis of a phenomenon - the Collective Intelligence (CI) of social structures. The RPP originates from the question of why inference processes are quasi-chaotic in real life. In the RPP, clause_molecules (CMs) move quasi-randomly n abstract Computational_PROLOG_Space (CS). CMs can carry clauses of facts, rules, and goals, or CMs can even be moving sets of facts, rules, and goals enclosed by membranes. When CMs rendezvous, an inference process can occur iff the prerequisite logical conditions are fulfilled. The RPP can be considered an implementation proposal of the NonDeterministic Turing Machine. With the RPP, CI can be evaluated as follows: 1) the mapping is done of a given social structure into the structured computational space of the RPP; 2) beings and their behavior are translated into PROLOG expressions, carried by CMs; 3) the global or temporary ...