A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[4336]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-0ca04306a4d3f7ad in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x⁵
2. xy ≈ yx
3. x² ≈ x²y³
4. x⁴y ≈ xy⁴
5. x⁴yz ≈ xyz
6. x⁴y ≈ xyz³