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