$
$ ./boolexp -i
([]  , f | t & f | ~ t)
((f | (t & f)) | (~t)) is false.
([p], f | t & f | ~p)
((f | (t & f)) | (~p)) is false.
([] , f | t | f & t | f | t & t & t | ~ t)
(((((f | t) | (f & t)) | f) | ((t & t) & t)) | (~t)) is true.
^D
$
$ ./boolexp
([p, q], ~t | p | ~e & ~f & t & ~q | r)
((((~t) | p) | ((((~e) & (~f)) & t) & (~q))) | r) is true.
([] , t & f        & t | ~ t    & ~ f & ~ f | f & t & ~ t)
((((t & f) & t) | (((~t) & (~f)) & (~f))) | ((f & t) & (~t))) is false.
([] , t & f | t & f | t & f | f & ~ t | f)
(((((t & f) | (t & f)) | (t & f)) | (f & (~t))) | f) is false.
  ([],  t & t & ~ f | f & ~ t | ~ t & f)
((((t & t) & (~f)) | (f & (~t))) | ((~t) & f)) is true.
^D
$
$ cat 1.cpp 

#include<iostream>

using namespace std;

main() {

  bool p = true;
  bool q = true;

  bool e = false;
  bool r = false;

  bool result = !true || p || !e && !false & true && !q || r;

  cout << "The result is ";

  if (result)
     cout << "true";
  else
     cout << "false";
  
  cout << "." << endl;
}
$
$ cat 4.cpp

#include<iostream>

using namespace std;

main() {

  bool result = true && true && !false || false && !true || !true & false;

  cout << "The result is ";

  if (result)
     cout << "true";
  else
     cout << "false";

  cout << "." << endl;
}
$
$ ./boolexp
([        ], t & t | ~ f & ~ f | t & f | ~ t)
((((t & t) | ((~f) & (~f))) | (t & f)) | (~t)) is true.
([a,b,c], a & ~ f & ~ f    & b | ~ t | c)
(((((a & (~f)) & (~f)) & b) | (~t)) | c) is true.
([],   t & ~ f & ~ t | ~ f & ~ t & t)
(((t & (~f)) & (~t)) | (((~f) & (~t)) & t)) is false.
([], t & ~ f | t & ~ f)
((t & (~f)) | (t & (~f))) is true.
([], t | f | t & f   | t | ~ t & t | f)
(((((t | f) | (t & f)) | t) | ((~t) & t)) | f) is true.
([], ~ f & t & ~ t | ~ f | t & ~ f)
(((((~f) & t) & (~t)) | (~f)) | (t & (~f))) is true.
([],~ t | ~ f | ~ t & ~ f & f & ~ t)
(((~t) | (~f)) | ((((~t) & (~f)) & f) & (~t))) is true.
^D
$
$ ./boolexp -c
([x,y], ~x | t | ~z & ~f & y & ~y | f)
$
$ ./boolexp -ci
([],~t|~f&~t|~t&~f|~t&~t)
((((~t) | ((~f) & (~t))) | ((~t) & (~f))) | ((~t) & (~t))) is false.
^D
$
$ cat 1.cpp

#include<iostream>

using namespace std;

main() {

  bool result = !true || !false && !true || !true && !false || !true && !true;

  cout << "The result is ";

  if (result)
     cout << "true";
  else
     cout << "false";

  cout << "." << endl;
}