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