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