Does the free energy of the universe decrease for every process?
Didn't you ask the last question about this, too?

The issue here is that when $\Delta G &gt; 0$, the reaction is indeed non-spontaneous as written. If you wish to add energy to the system, for example, via electrolysis, you should include the additional changes in the computation of the free energy change. You will find that after you sum up everything $\Delta G &lt; 0$.

Also, note that $\Delta S_{\mathrm{universe}} &lt; 0$ does not mean that the process will not happen; it only means that it's (fairly) unlikely to happen.