We compare implementations of five theorem provers for Computation Tree Logic (CTL) based on treetableaux, graph-tableaux, binary decision diagrams, resolution and games using formula-classes from the literature. In the process, we gather and analyse a set of test formulae which could form the basis of a suite of benchmark formulae for CTL.

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We show that the polynomial translation of the classical propositional normal modal logic S4 into the intuitionistic propositional logic Int from Fernández is incorrect. We give a modified translation and prove its correctness, and provide implementations of both translations to allow others to test our results.