SemiBase

A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of [6, 11552], which generates the variety V[11552]. Removing the identities that follow from the others leaves 7 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-d186a0393abbbd22 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁴
  2. x³y ≈ x²yx
  3. xyx ≈ xyx³
  4. xyxy ≈ xy²x
  5. xyx²z ≈ xyxzx
  6. xyzxy ≈ xyzyx
  7. xyzxz ≈ xyz²x
  8. xyztxz ≈ xyztzx