Stephan Schulz: Empirical Properties of Term Orderings for Superposition Term orderings play a critical role in most modern automated theorem proving systems, in particular for systems dealing with equality. In this paper we report on a set of experiments with the superposition theorem prover E, comparing the performance of the system under Knuth-Bendix Ordering and Lexicographic Path Ordering with a number of different precedence and weight generation schemes. Results indicate that relative performance under a short time limit seems to be a good predictor for longer run times and that KBO generally outperforms LPO. Also, if other strategy elements (especially clause selection) are independent of the ordering, performance of a given ordering instance with one strategy is a decent predictor of performance with a different strategy.