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