E

E is a purely equational theorem prover for full first-order logic. That means it is a program that you can stuff a mathematical specification (in first-order format) and a hypothesis into, and which will then run forever, using up all of your machines' resources. Very occasionally it will find a proof for the hypothesis and tell you so. E's inference core is based on a modified version of the superposition calculus for equational clausal logic. Both clausification and reasoning on the clausal form can be documented in checkable proof objects. E was the best-performing open source software prover in the 2008 CADE ATP System Competition (CASC) in the FOF, CNF, and UEQ divisions. In the 2011 competition, it won second place in the FOF division, and placed highly in CNF and UEQ.

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