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The propositional skeleton $\skel$ of a formula $\varphi$ is obtained by replacing each occurance of a $\Theory$-literal with a propositional variable.
An example for a formula $\varphi$ in $\LIA$:
$$ \varphi \coloneqq (x > y) \lor (x > z),$$
and the corresponding skeleton $\skel$:
$$ e_1 \lor e_2, $$
where $e_1 \equiv x > y$ and $e_2 \equiv x > z$.