The SETHEO System (system description) by Ortrun Ibens Technische Universität München, Germany Abstract SETHEO [LSBB92, GLMS94, MIL+97] is a theorem prover for first-order predicate logic. The SETHEO system includes an efficient inference machine with a preprocessing module for a specialized equality handling and a graphical proof display. Furthermore, Prolog-style built-ins are provided for logic-programming. The system is being continuously extended and enhanced with additional inference mechanisms and reduction techniques. The current version of SETHEO is V4.0.