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