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The robustness and correctness of SAT solvers are receiving more and moreattention. In recent SAT competitions, a proof of unsatisfiability emitted bySAT solvers must be checked. So far, no proof checker has been efficient forevery case. In the SAT competition 2016, some proofs were not verified within20000 seconds. For this reason, we decided to develop a more efficient proofchecker called TreeRat. This new checker uses a window shifting technique toimprove the level of efficiency at which it verifies proofs ofunsatisfiability. At the same time, we suggest that tree-search-based SATsolvers should use an equivalent relation encoding to emit proofs ofsubproblems. In our experiments, TreeRat was able to verify almost all proofswithin 20000 seconds. On this point, TreeRat is shown to be superior togratgen, which is an improved version of DRAT-trim. Also, in most cases,TreeRat is faster than gratgen. Like DRAT-trim, TreeRat can output also tracedependency graphs. Its output format is LRAT. The correctness of TreeRat can beensured by checking its LRAT output.

Fast Verifying Proofs of Propositional Unsatisfiability via Window Shifting