Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Firsts

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

Rule	logic.propositional.idempand
Location	[1,0,0]
Term	"Nothing"
Focus	"Nothing"
Environment

Rule	logic.propositional.truezeroand
Location	[1,0,0]
Term	"Nothing"
Focus	"Nothing"
Environment

Rule	logic.propositional.notnot
Location	[1,0,0,1,0]
Term	"Nothing"
Focus	"Nothing"
Environment

Rule	logic.propositional.notfalse
Location	[1,0,0,1,1,0]
Term	"Nothing"
Focus	"Nothing"
Environment

Rule	logic.propositional.nottrue
Location	[1,0,0,1,1,1,1,0,0]
Term	"Nothing"
Focus	"Nothing"
Environment