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MiniZinc

% ignore
int:n;
set of int: NODES = 1..n;
array [NODES,NODES] of bool: adj;
bool: t = true;
bool: f = false;
n = 4;
adj = [| false, true, true, false
| true, false, true, false
| true, true, false, true
| false, false, true, false |];
solve satisfy;
int: count = sum( i,j in NODES where i < j /\ adj[i,j])(
sum([trace("("++show(i)++","++show(j)++","++show(k)++")",1) |
k in NODES where j < k /\ adj[i,k] /\ adj[j,k]]));
% ignore
constraint trace("\n",true);