A certified basis of 38 identities
This list of identities is a basis, proved in Lean, of [6, 3842] C₈, which generates the variety V[3842]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-5239f4d9651a7cca in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- xyxy ≈ xy²x
- xyxy ≈ yx²y
- x³y²x ≈ xyxy
- x²yx²y ≈ yx²y
- x²y²x ≈ xy³x
- x²y²x ≈ yxy²x
- xy²x² ≈ xy²xy
- xy²x² ≈ xy²xy²x
- xyxzx ≈ xzxyx
- xyzxy ≈ xyzyx
- xyzxy ≈ yxzxy
- xyzxz ≈ xyz²x
- xyzxz ≈ zyx²z
- x³yz²x ≈ xzxyz
- x²yxz²x ≈ xzyxz
- x²yzx²y ≈ yzx²y
- x²yz²x ≈ xzyz²x
- x²yz²x ≈ zxyz²x
- xyx²z²x ≈ xyzxz
- xyxz²x ≈ xyz³x
- xyxz²x ≈ zyxz²x
- xy²xzx ≈ xy²xzy
- xyz²x² ≈ xyz²xz
- xy²xzx ≈ xy²xzy²x
- xyz²x² ≈ xyz²xz²x
- xyztxz ≈ xyztzx
- xyztxz ≈ zyxtxz
- x²yxzt²x ≈ xtyxzt
- xyx²zt²x ≈ xytxzt
- xyxzxt²x ≈ xytzxt
- xyxzt²x ≈ xytzt²x
- xyxzt²x ≈ tyxzt²x
- xyz²xtx ≈ xyz²xtz
- xyz²xtx ≈ xyz²xtz²x
- xyxzxtu²x ≈ xyuzxtu