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