In spite of the tremendous success of STE model checking one cannot verify circuits with arbitrary large number of state holding elements. In this paper we present a methodology of symmetry reduction for STE model checking, using a novel set of STE inference rules. For symmetric circuit models these rules provide a very effective reduction strategy. When used as tactics, rules help decompose a given STE property to a set containing several classes of equivalent STE properties. A representative from each equivalence class is picked and verified using an STE simulator, and the correctness of the entire class of assertions is deduced, using a theorem that we provide. Finally inference rules are used in the forward direction to deduce the overall statement of correctness. Our experiments on verifying arbitrarily large CAMs and circuits with multiple CAMs, show that these can be verified using a fixed, small number of BDD variables.