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[13171]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-56f1c5cf7e20f702 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. xy ≈ xy²
3. xy ≈ xyxy
4. xyxz ≈ xyz
5. x²yz ≈ x²zyz
6. x²yzx ≈ x²zyx