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We present a method embedding two mechanisms, which eliminate redundant inferences, into CMGTP. One is delayed relevancy testing which eliminates unnecessary subproofs by calculating relevancy to the ...proof. Another is folding-up which eliminates a duplicate subproof by using lemmas extracted from the proof. These two mechanisms are achieved by extracting literals that have contributed to the proof. We have implemented the method in Java and evaluated its effects for some typical problems taken from the TPTP problem library.show more
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