Got results with DiGraph.girth() which appear inconsistent to
me. girth() returns 3 and powers of the adjacency matrix suggest
there are no directed triangle cycles and couldn't s see a directed
triangle cycle on the plot of the digraph.
sage: GR=DiGraph('FWE@_WF@o?');M=GR.adjacency_matrix()
sage: GR.girth()
3
sage: (M^3).trace()
0
sage: GR
Digraph on 7 vertices
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