Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Firsts

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

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

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

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

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