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