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This paper proposes a method to estimate the total time required to solve SATin distributed environments via partitioning approach. It is based on theobservation that for some simple forms of problem partitioning one can use theMonte Carlo approach to estimate the time required to solve an originalproblem. The method proposed is based on an algorithm for searching forpartitioning with an optimal solving time estimation. We applied this method toestimate the time required to perform logical cryptanalysis of the widely knownstream ciphers A5/1 and Bivium. The paper also describes a volunteer computingproject SAT@home aimed at solving hard combinatorial problems reduced to SAT.In this project during several months there were solved 10 problems of logicalcryptanalysis of the A5/1 cipher thatcould not be solved using known rainbowtables.

On estimating total time to solve SAT in distributed computing environments: Application to the SAT@home project