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