We have extended the software model checker Blast to automatically generate test suites that guarantee full coverage with respect to a given predicate. More precisely, given a C program and a target predicate p, Blast determines the set L of program locations which program execution can reach with p true, and automatically generates a set of test vectors that exhibit the truth of p at all locations in L. We have used Blast to generate test suites and to detect dead code in C programs with up to 30K lines of code. The analysis and test-vector generation is fully automatic (no user intervention) and exact (no false positives).