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