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Alchemy  a software package providing a series of algorithms for statistical relational learning and probabilistic logic inference, based on the Markov logic representation.
Apache Jena   - A free and open source Java framework for building Semantic Web and Linked Data applications. Also includes reasoning capabilities.
BayesDB on SQLite.   - A Bayesian database table for querying the probable implications of data as easily as SQL databases query the data itself. See also here.
JAPE ( java annotation pattern engine)  
ML4PG   - a machine-learning extension for Proof General.
Natural Logic Inference for Common Sense Reasoning  Gabor Angeli
Stanford's DeepDive   - extracts relationships about entities from unstructured text and performs reasoning over extracted facts.
thebeast  a statistical relational learning software based on Markov logic.
ThoughtTreasure  Erik T. Mueller - commonsense knowledge base and architecture for natural language processing
VerbOcean   - a broad-coverage semantic network of verbs.