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