I'm no expert- but let me ask you a question is either dog1 or dog2 that do not share blood with each other, are either related to gyp1 or gyp2 in any way and if so how close.
Really there is so much involved that the graph alone will be honestly no where enough to evaluate even on paper your % of chance for a good cross.
There would need to be detailed info on atleast those 4 dogs and a honest description of there traits and abilities both good and bad before anyone could help you much.
God Bless
Dogs 1 and 2 not related to gyps or each other. Really just wondering about breedings being genetically sound, not worried about traits ( just a scenario). First set of pups would obviously be first cousins, mothers of pups are sisters. Then next litters same? First cousins I guess.