Ilícita

[solfinker]

It refers here to some mathematical restriction, and the immediate translation sounds too legal for me:
Superando el obstáculo de que en principio resulta incumplida la condición e ilícita la aplicación del algoritmo

My attempt:
Overcoming the obstacle that in principle the cOndition is unfulfilled and illicit the application of the algorithm...

[Cotty]

Superando el obstáculo de que en principio resulta incumplida la condición e ilícita la aplicación del algoritmo

Overcoming the obstacle that in fact the condition is unfulfilled and the application of the algorithm is illicit/not allowed.