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