Title: Time-Space Tradeoffs in Resolution: Superpolynomial Lower Bounds for Superlinear Space Abstract: Either explicitly or implicitly, Resolution is the underlying method used in the vast majority of systems for SAT solving and general logical inference. By storing information derived from failed searches, modern SAT solvers have vastly increased the size of problems that can be solved in practice. We give the first lower bounds which show that this use of large amounts of space is critical. In particular, we show that for every polynomial space bound there are families of problems that have polynomial size Resolution derivations within that space bound but if the space is reduced by even a small constant factor no polynomial-sized Resolution derivation exists. Joint work with Chris Beck and Russell Impagliazzo