A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[1237]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-126114047c9d48a6 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x⁴
2. xyx ≈ yx²
3. x²yx ≈ xy³
4. x²y² ≈ xy²x
5. x²y³ ≈ xyx
6. xyx ≈ xy³x
7. x³yz ≈ xyz
8. xyzx ≈ xzyx