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