A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[12964]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-e80283c198fcd085 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. xyzy ≈ xzy²
6. xyxzx ≈ xyzx
7. x²y²z ≈ xy²xz