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