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