Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Firsts

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

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

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

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

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

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

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