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