Challenge problems from nonassociative rings for theorem provers

  • Rick L. Stevens
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 310)


The Moufang Identities are proving to be a challenging set of problems for automated theorem proving programs. Aside from one program that uses a new technique that has the axioms of nonassociative ring theorem built in, I know of no other program able to prove these identities. In this short paper I include the axioms for nonassociative rings, statements of the five moufang identities, a natural hand proof of one of the left identities and a human guided paramodulation proof of the same identity. I hope that this paper will provide a starting point for others to attack these interesting problems.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Rick L. Stevens
    • 1
  1. 1.Argonne National LaboratoryArgonne

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