A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[5522]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-046a9b73a04a4bf5 in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁴
2. xyx ≈ xy²
3. x³y ≈ x²y
4. x²yx ≈ xyx
5. x²yz ≈ xyz
6. xyxz ≈ xyz
7. xyzx ≈ xzyx