We present a new inference system for rst-order logic, SIG- Res, which couples together SInst-Gen and ordered resolution into a single inference system. Given a set F of rst order clauses we create two sets, P and R, each a subset of F. Under SIG-Res, P is saturated by SInst-Gen and resolution is applied to pairs of clauses in P (R where at least one of the clauses is in R. We discuss the
... [Show full abstract] motivation for this inference system and prove its completeness. We also discuss our imple- mentation called Spectrum and give some initial results.