Citius altius fortius: Lessons learned from the Theorem Prover Waldmeister

Abstract

In the last years, the development of automated theorem provers has been advancing in a so to speak Olympic spirit, following the motto “faster, higher, stronger”; and the Waldmeister system has been a part of that endeavour. We will survey the concepts underlying this prover, which implements Knuth-Bendix completion in its unfailing variant. The system architecture is based on a strict separation of active and passive facts, and is realized via specifically tailored representations for each of the central data structures: indexing for the active facts, set-based compression for the passive facts, successor sets for the conjectures. In order to cope with large search spaces, specialized redundancy criteria are employed, and the empirically gained control knowledge is integrated to ease the use of the system. We conclude with a discussion of strengths and weaknesses, and a view of future prospects.