A formula is a tree

(¬(p ∨ q) ∧ r) ∨ p

Flat top-down syntax-tree diagram on a white background with small rounded rectangular nodes outlined in teal (#2f8576) and thin teal edges (no arrowheads), dark teal node labels (#16433c). Each node is labelled with an (id, kind) pair. The root at the top is '(8, or)', with two children: '(6, and)' on the left and the leaf '(7, var)' on the right. '(6, and)' has children '(4, not)' on the left and the leaf '(5, var)' on the right. '(4, not)' has a single child '(3, or)', which has two leaf children '(1, var)' and '(2, var)'. Beside each var leaf, a small italic teal letter marks the variable it reads: 'p' next to (7, var), 'r' next to (5, var), 'p' next to (1, var) and 'q' next to (2, var).

extensional node(id: integer, kind: string).
extensional node_child(id: integer,
                       pos: integer, child: integer).
extensional node_var(id: integer, idx: integer).
extensional root(id: integer).

node specifies node kinds (and, or, not, var).
node_child links a parent to its children.
node_var selects which variable each var reads.
root marks the top (id 8).