Here is my solution proposal. It is more about the process rather than the solution itself. We Cypriots should be directly in charge of forming our future.
1-TC, GC and mixed teams think up a solution (at the level of basic principles, not the whole constitution), with a given deadline 2 years time
2-These proposals go through a referendum. Voters will decide on each proposal with a yes or no. So we might end up with 4-5 proposals that get 50%+ by both sides (tc and gc)(lets say A B C D and E). These proposals will go to next round
3-More referendums to be held with the proposals eliminated if they get the last place. So, if there are 5 proposals, each voter will have 4 votes and the results might be
GC
----
A 1st place
B 2nd place
C 3rd place
D 4th place
E 5th place
and TC might be
C
D
E
B
A 5th place
so, E and A get eliminated.
Repeat until at least two proposals are on the table.
Then we will hold a referendum and if it is a tie, the majority of total votes win.