Which of the following methods are not used to refine any metal?...

Electrolytic refining is a technique that is used for the extraction and purification of metals that are obtained by refining methods. The impure metal is used as an anode and the pure metal is used a cathode. Soluble salt from the same metal is used an electrolyte.

Liquation process is used for the purification of the metal, which itself is readily fusible, but the impurities present in it are not, used for the purification of $Sn$ and $Zn$, and for removing $Pb$ from $Zn$-$Aq$ alloy.

Leaching is a process widely used in extractive metallurgy where ore is treated with chemicals to convert the valuable metals within into soluble salts while the impurity remains insoluble.

Calcination is the process in which the ore of the metal is heated to high temperature in the absence or limited supply of air or oxygen.

Distillation: This method is used for the purification of metals which possess a low boiling point such as mercury and zinc.