The minimal unsatisfiability problem is considered of the propositional for
mula in CNF which in the case of variables x(1),...,x(pi) consist of n + k
clauses including x(1) V...V x(pi) and ] x(1) V...V] x(pi). It is shown tha
t when k less than or equal to 4 the minimal unsatisfiability problem can b
e solved in polynomial time.