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