The natural tableau system was succesfully applied to the SICK textual entailment problems (Marelli et al., 2014) by Abzianidze (2015a).
the theorem prover for natural language, called LangPro, was implemented that integrates three modules: the parsers for Combinatory Categorial Grammar (CCG) (Steedman, 2000), LLFgen that generates LLFs from the CCG derivation trees, and the natural logic tableau prover (NLogPro) which builds tableau proofs.