A certified basis of 10 identities

This list of identities is a basis, proved in Lean, of 5 semigroups of order six, all of which generate the variety V[8924]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-20c865e659692c15 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x⁴
2. x³yx ≈ xyx
3. x²yx ≈ yx³
4. x²yx² ≈ yx²
5. xyx ≈ xyx³
6. xyxy ≈ yx²y
7. xyx²zx ≈ xyzx
8. xyxzy ≈ yx²zy
9. xyzxy ≈ yxzxy
10. xyzxty ≈ yxzxty