four exponentials conjecture

: Given four complex numbers $x_{\mathrm{1}}\mathrm{,}{x}_{\mathrm{2}}\mathrm{,}{y}_{\mathrm{1}}\mathrm{,}{y}_{\mathrm{2}}$, either $x_{\mathrm{1}}\mathrm{/}{x}_{\mathrm{2}}$ or $y_{\mathrm{1}}\mathrm{/}{y}_{\mathrm{2}}$ is rational, or one of the fournumbers $\exp \mathit{}\mathrm{(}{x}_i\mathit{}{y}_j\mathrm{)}$ is transcendental.

This conjecture is stronger than the six exponentials theorem.