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