Clause reusing framework for contradiction separation based automated deduction

Guidance ability is one of the typical feature of the novel contradiction separation based automated deduction that extends the canonical resolution rule to a dynamic, flexible multi-clause deduction framework. In order to take better advantage of the guidance ability during the deduction process, we propose in this paper a clause reusing framework for contradiction separation based automated deduction. This framework is able to generate more decision literals, on which the guidance ability of the contradiction separation based automated deduction relies. Technical analysis along with some examples are provided to illustrate the feasibility of the proposed framework.