Question: Find a proof by resolution of the empty clause from the following set of clauses: {{p, q, r}, {r, p}, {p, q}, {p}}. We consider

Find a proof by resolution of the empty clause from the following set of clauses: {{p, q, r}, {r, p}, {p, q}, {p}}.

We consider a Hilbert-style proof system with Modus Ponens as the inference rule and the following axiom schemes:

A1 ()

A2 (())(()())

A3 (()())()

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