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