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