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