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