# Is this language context-free? $\Sigma$ = {a,b,#} L = {x1#x2#…#xk : k$\geq$2, every $x_i \in$ {a,b}* and xi $\neq$ xj for every pair i $\neq$ j} [duplicate]

Is this language context-free? $$\Sigma$$ = {a,b,#}, L = {x1#x2#...#xk : k$$\geq$$2, every $$x_i \in$$ {a,b}* and xi $$\neq$$ xj for every pair i $$\neq$$ j} I think it is not, because the PDA can't memorize every word to be unequal to every other word.