SemiBase

A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of [6, 13666], which generates the variety V[13666]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b6eba38f27d4b035 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. xyx ≈ xyx²
  4. x²y² ≈ xyxy
  5. xyxzx ≈ xyzx
  6. x²yzy ≈ xyxzy
  7. xyxz² ≈ xyzxz
  8. xy²z² ≈ xzy²z