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