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