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