Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ ~F
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ ~~T /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.nottrue |
Location | [1,1,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~F || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ ~F
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ ~~~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ p /\ ~q /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ ~F
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((T /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.nottrue |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~F /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ (q || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ ~F
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,1,1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r) /\ T /\ ~F
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,1,1,1,1,1,1,1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ (~~(T /\ q) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,1,1,1,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ T /\ q) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~q) || ~r || F) /\ T /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ ~F
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,1,1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~q /\ p /\ T /\ (~F || F) /\ ((T /\ ~q) || F) /\ (p || F) /\ (~~T || F) /\ (~~~~(p /\ ~q) || F) /\ ~~(p /\ ~q) /\ ((T /\ T /\ ((~F /\ T /\ ~q /\ p /\ ~~T /\ ~~~~(p /\ ~q) /\ ((T /\ q) || ~r)) || F)) || F) /\ ((T /\ ~~(T /\ q)) || ~r || F) /\ T /\ T
ready: no