The degree-\b2n\b11 consequence conjecture for n-ary intermolecular recombination

Let $n$-ary intermolecular recombination be an $n$-ary operation satisfying complete symmetry in degree $n$. A polynomial identity has degree $2n-1$ when each of its terms involves two applications of the operation.

Degree-$2n-1$ consequence conjecture. Every polynomial identity satisfied by $n$-ary intermolecular recombination in degree $2n-1$ is a consequence of complete symmetry in degree $n$.

The ternary case was verified in degree $7$, and the degree-$9$ computation described in the paper shows that all identities there follow from the degree-$7$ ternary recombination identity. The general case remains open.