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