 On the left we see an inference graph with two conflicting arguments. On the right we see the preference ordering. The argument \(A \rightarrow B \rightarrow E\) is stronger than \(C \rightarrow D \not\rightarrow E\) since for its weakest link \(D \not\rightarrow E\) we have \(D \not\rightarrow E \prec A \rightarrow B\) and \(D \not\rightarrow E \prec B \rightarrow E\). 