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