SemiBase

A certified basis of 12 identities

This list of identities is a basis, proved in Lean, of [6, 6447], which generates the variety V[6447]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-31b0ff3db7bdf6af in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. xyx² ≈ yx²
  4. x²y² ≈ xyxy
  5. x²y² ≈ xy²x
  6. x²yzy ≈ yx²zy
  7. xyxz² ≈ xyzxz
  8. xyxz² ≈ xyz²x
  9. xyzxy ≈ xyzyx
  10. xyxztz ≈ xyzxtz
  11. xyxztz ≈ xyzxtz
  12. xyztxz ≈ xyztzx