A certified basis of 11 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[2604]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-876ecedf8540bca2 in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁴
2. xyx ≈ yxy
3. x³y ≈ x²y
4. x²yx ≈ xyx
5. x²y² ≈ xyx
6. xy² ≈ xy³
7. xy²z ≈ xyz
8. xyzx ≈ xzyx
9. x²yzy ≈ xyzx
10. x²yz² ≈ xyzx
11. xyxz² ≈ xyzx