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