BUG #17109: Fail to evaluate boolean expression properly

The following bug has been logged on the website:

Bug reference: 17109
Logged by: Domingo Alvarez Duarte
Email address: mingodad(at)gmail(dot)com
PostgreSQL version: 11.10
Operating system: Online at https://extendsclass.com/postgresql-onli
Description:

When proposing a change to
https://github.com/facebookincubator/CG-SQL/pull/62 people there found
several problems on their project and one of the related to how
parse/evaluate expressions around "BETWEEN" keyword and they created a
simple test case to check it (adapted by me):

====
select /*NOT*/ 1 BETWEEN -2 and 2, NOT (1 BETWEEN -2 and 2), (/*NOT*/ 1)
BETWEEN -2 and 2
====

Here is the output of PostgreSQL where the second column is not negated (if
column 1 expression is true then "NOT" that expression should return false
):
====
?column? | ?column? | ?column?
-- | -- | --
true | true | true
====

Here is the output of sqlite3:
====
sqlite3 < "test-between.sql"
1|0|1
====