This disclosure relates generally to detection of inconsistencies in Semantics of Business Vocabulary and Business Rules (SBVR) rules, and, more particularly, to detecting inconsistencies in SBVR using Many-Sorted Logic. Traditional systems and methods implementing graphical and other related techniques are not sufficient to detect anomalies in semantic rules, thereby leading to a different verification approach to detect logical anomalies and errors due to quantification. Embodiment of the present disclosure overcome the limitations faced by the traditional systems and methods by translating a set of SBVR rules into a SBVR eXtensible Markup Language Metadata Interchange (XMI); transforming the SBVR XMI into one or more Satisfiability Modulo Theories Library (SMT-LIB) formulas using at least one logical structure and semantic of Many-Sorted Logic; and detecting, from the one or more SMT-LIB formulas, one or more inconsistencies in semantics of SBVR by using a SMT solver invocation.