SemiBase

A certified basis of 14 identities

This list of identities is a basis, proved in Lean, of [6, 3040], which generates the variety V[3040]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-a7feaace6a306f9a in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁴
  2. x³y ≈ xyx²
  3. x³yx ≈ xyx
  4. x²y ≈ x²yx²
  5. x²y² ≈ xyxy
  6. x²y² ≈ xy²x
  7. x²y² ≈ yx²y
  8. xyx ≈ xyx³
  9. xy²z ≈ xzy²
  10. x²yzy ≈ xyxzy
  11. x²yzy ≈ yx²zy
  12. x²yzy ≈ yzxyx
  13. xyzxy ≈ xyzyx
  14. xyzxy ≈ yxzxy