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[7676]. Removing the identities that follow from the others leaves 7 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-487d04d3b13695d7 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. xyx ≈ xyx²
3. xyxy ≈ xy²x
4. x²yxz ≈ x²yz
5. xyzxy ≈ xyzyx
6. xyzxz ≈ xyz²x
7. xyztxz ≈ xyztzx