### Computing permutations

Is there a way to solve the following question is Sage? I have symmetric group $S_8$ and its elements $a=(x_1 x_2)(x_3 x_4),b=(x_5 x_6), c=(x_7 x_8)(x_9 x_{10})(x_{11} x_{12})(x_{13} x_{14})$ Here of course we might have $x_i=x_j$ if $i\ne j$. Is some given $(y_1 y_2)\in \langle a,b,c\rangle$?