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