A certified basis of 25 identities
This list of identities is a basis, proved in Lean, of [6, 6598], which generates the variety V[6598]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-97289677a5a1490d in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³y ≈ xyx²
- x³yx ≈ xyx
- x²y ≈ x²yx²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- xyx ≈ xyx³
- x³y² ≈ x²y²x
- x³y² ≈ yx³y
- x³yz ≈ xyx²z
- x³yz ≈ xyzx²
- x²y²z ≈ xy²xz
- x²yzy ≈ xyxzy
- x²yzy ≈ yx²zy
- xyxz² ≈ xyzxz
- xyxz² ≈ xyz²x
- xy³z ≈ xyzy²
- xy²z² ≈ xyz²y
- xyzxy ≈ xyzyx
- xyzxy ≈ yxzxy
- xyxztz ≈ xyzxtz
- xyxztz ≈ xyzxtz
- xyzxty ≈ yxzxty
- xyztxz ≈ xyztzx