Putting \not before \big| when using "mathabx" package

Question

\not| works well, but \not\big| not. I have also tried \centernot instead of \not without success.

Edit: This is the minimal document producing the problem.

Edit2: I use mathabx package to have the things like \widecheck, \nequiv and some other symbols. But I would like to use \big| and \not\big| at the same time. It seems that mathabx causes conflict.

\documentclass{article}
\usepackage{mathabx}

\begin{document}
$\not\big|$
\end{document}

Answer 1

A bunch of solutions with stackengine: I defined \big, Big, &c. variants in two series, based on \varnot + \vert or on \ndivides + \vert with a different \not sign. I suppose it is intended to be a (non-)relational symbol.

\documentclass{article}

\usepackage{mathtools, mathabx, xcolor}

\usepackage{stackengine, relsize}
\newcommand{\nmid}{\mathrel{\stackMath\stackinset{c}{-1.24ex}{c}{}{\varnot}{\vert}}}
\newcommand{\nbmid}{\mathrel{\stackMath\stackinset{c}{-1.24ex}{c}{}{\varnot}{\big\vert}}}
\newcommand{\nBmid}{\mathrel{\stackMath\stackinset{c}{-1.24ex}{c}{}{\varnot}{\Big\vert}}}
\newcommand{\nbbmid}{\mathrel{\stackMath\stackinset{c}{-1.24ex}{c}{}{\varnot}{\bigg\vert}}}
\newcommand{\nBBmid}{\mathrel{\stackMath\stackinset{c}{-1.24ex}{c}{}{\varnot}{\Bigg\vert}}}
%%%
\newcommand{\bndivides}{\mathrel{\stackMath\stackinset{c}{-0.325ex}{c}{}{\notdivides}{\big\vert}}}
\newcommand{\Bndivides}{\mathrel{\stackMath\stackinset{c}{-0.32ex}{c}{}{\notdivides}{\Big\vert}}}
\newcommand{\bbndivides}{\mathrel{\stackMath\stackinset{c}{-0.32ex}{c}{}{\notdivides}{\bigg\vert}}}
\newcommand{\BBndivides}{\mathrel{\stackMath\stackinset{c}{-0.32ex}{c}{}{\notdivides}{\Bigg\vert}}}

\begin{document}

\[ \begin{array}{l*{6}{c}}
\verb+ \nmid series: + & \nmid & \nbmid & \nBmid & \nbbmid & \nBBmid \\[4ex]
\verb+ \ndivides series: + & \ndivides & \bndivides & \Bndivides & \bbndivides & \BBndivides
\end{array} \]

\end{document}