A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[1039]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-4b62c53493e90e71 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. x²y ≈ xyx
3. x²y ≈ yx²
4. xyz ≈ xzy
5. xyz ≈ yxz