SemiBase

A certified basis of 13 identities

This list of identities is a basis, proved in Lean, of [6, 3554], which generates the variety V[3554]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-137bcc6d42b9f234 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. x²y² ≈ xyx
  4. xyx ≈ xyx²
  5. xyx ≈ xyxyx
  6. xy²z ≈ xyz
  7. xyzx ≈ xzyx
  8. x²yz ≈ xyxyz
  9. x²yzy ≈ xyzx
  10. x²yz² ≈ xyzx
  11. xyxzy ≈ xyzx
  12. xyxz² ≈ xyzx
  13. xyzy ≈ xyzyz