You need to AND all four statements together, since you all statements to be true, i.e. The first should be true AND the second AND the third, AND the fourth.
Unfortunately, you symbolized 'Between Andreas and Dora at least one is going' as $A \vee B$ ... So either that should be $A \vee D$, or you wrote down the wrong statement when you posted you question ...
Also, 'Carolin and Dora both not going' is $\
eg C \land \
eg D$ which is not the same as $\
eg (C \land D)$. So again, eitheryou symbolized ths incorrectly, or you wrote down the wrong statement in your original Question ... Should it be that 'Carolin and Dora are not both going'? If that was the statement you have to work with, then there is no contradiction anymore, so I suspect that is the one.
**EDIT** Ok, all issues resolved now!