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