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