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In this paper, given a parameter $k$, we demonstrate an infinite class of{\sc cnf}s of treewidth at most $k$ of their primary graphs such that theequivalent nondeterministic read-once branching programs ({\sc nrobp}s) are ofsize at least $n^{ck}$ for some universal constant $c$. Thus we rule out thepossibility of fixed-parameter space complexity of {\sc nrobp}s parameterizedby the smallest treewidth of the equivalent {\sc cnf}.

No small nondeterministic read-once branching programs for CNFs of bounded treewidth