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now let us study uh resolution proof system for first auto logic we have seen the reputation proof systems before lets remind ourselves what reputation proof systems are and how we can use resolution as a refrigeration proof system for our first order logic so we assume that we have a set of formulas in the left hand side in this statement which was treated as conjunction of formulas remember that right this is conjunction of these formulas should prove this formula f so conjunction of c n formula is also a cnn form alone so if we have only cnf formula in the left hand side then we can treat as a one giant siena formula implying other dna formula that may simplify our view of the proving process let us suppose we asked to derive that sigma proves f what do we do we assume sigma is finite we can relax this condition due to compactness of first order logic we will convert a conjunction of sigma and not of f and turn into a first order clauses called sigma prime and we apply the refrige