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