Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Firsts

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

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

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

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

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

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