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