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