Exercise logic.propositional.dnf

Description
Proposition to DNF

Firsts

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

  

  ~~(p /\ ~q) /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~F /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ T /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ p /\ ~q /\ T /\ T

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~F /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~~~(~T /\ ~T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~T /\ ~T /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~~T /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(F /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ F) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~q /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~F /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~F /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~~T /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(F /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~~T /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(F /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T)

  ready: no

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

  

  ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~(~~(~T /\ ~T) /\ T) /\ ~(q /\ T) /\ ((~~T /\ ~(~T /\ T) /\ T /\ q) || (~~T /\ ~(~T /\ T) /\ ~r /\ ~r)) /\ ~F /\ ~~p /\ ~~(p /\ ~q /\ T)

  ready: no