SemiBase

A certified basis of 14 identities

This list of identities is a basis, proved in Lean, of [6, 5626], which generates the variety V[5626]. Removing the identities that follow from the others leaves 8 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-c37b54953f8c7e9d in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. xyxy ≈ xy²x
  3. xyxy ≈ yx²y
  4. x³yx ≈ x²yx
  5. xyzx ≈ xzyx
  6. xyxzy ≈ yx²zy
  7. xyzxy ≈ xyzyx
  8. xyzxy ≈ yxzxy
  9. xyzxz ≈ xyz²x
  10. xyztx ≈ xytzx
  11. xyztx ≈ xzytx
  12. xyzxty ≈ yxzxty
  13. xyztxz ≈ xyztzx
  14. xyztux ≈ xytzux