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