, the conductivity is computed using the Green-Kubo formula by assigning fixed integer charges to the charged species (mobile protons and acetate groups). The results are shown in Table . We found that PiNet2-P3/SCAN better reproduces the self-diffusion coefficient, the Green-Kubo conductivity and the Nernst-Einstein deviation paramater ∆ reported by experiments, as compared to PiNet2-P3/revPBE-D3. The fractions of neural acetic acid were identify as 0.87(2) and 0.78(1) from PiNet2-P3/revPBE-D3 and PiNet2-P3/SCAN respectively. Taking these fractions and constraining active hydrogen atoms to not undergo PT reactions, the resulting Green-Kubo conductivities were as low as one third of those from the same systems that allows PT reactions. This provides supporting evidence that a long distance and concerted PT (see Fig. ) accounts for the fast ion transport in the protic ionic liq-