Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Firsts

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

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

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

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

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

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