begin
n1:(p1 --> <>([](<>p1 <--> []<>(p1 v false))));
n2:(([](<>p1 <--> []<>(p1 v false))) --> []p3);
n1:!n2;
n3:<>n1;
n3:<>n2;
n1:<>n2;
n2:<>n1;
n1:!p3;
n3:<>(n2 & ([](<>p1 <--> []<>(p1 v false)))) 
end