Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Firsts

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

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

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

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

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

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

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