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