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