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