The small cancellation torsion subgroup conjecture

Let $G$ be a group defined by a small cancellation presentation. A subgroup of $G$ is torsion if every one of its elements has finite order.

Small cancellation torsion subgroup conjecture. Every torsion subgroup of $G$ is finite.

The paper proves this conjecture for groups defined by $C(4)$--$T(4)$ small cancellation presentations, so the general statement remains open.