3 Carlos Ansótegui Maria Luisa Bonet Jordi Levy 2010 Proceedings of the 24th AAAI Conference on Artificial Intelligence, AAAI 2010 Atlanta, Georgia, USA We present and implement a Weighted Partial MaxSAT solver based on successive calls to a SAT solver. We prove the correctness of our algorithm and compare our solver with other Weighted Partial MaxSAT solvers.