"Influence Layout" in Alloy

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When defining a theme for the Alloy Visualizer, there is the option for a relation to "Influence Layout". Normally, when p->q is an edge in the relation r, the layout places p above q, with the r-edge pointing downwards. I would expect that turning off "Influence Layout" for r would allow p and q to occupy the same level in the graph, so that the r-edge could point horizontally. But this never happens. Indeed, I have never observed the "Influence Layout" checkmark to have any effect at all. What does it do?

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