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