El Sahili's arc-deletion conjecture for oriented Hamiltonian paths

Let $T$ be a strong tournament of order $n\geq 8$, let $e$ be an arc of $T$, and let $P$ be an oriented path of order $n$. El Sahili's conjecture. The tournament $T-e$ contains $P$.

This conjecture proposes that every arc deletion from a strong tournament of order at least eight preserves every oriented Hamiltonian path; the supplied context does not report a proof or disproof.