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