Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule logic.propositional.truezeroand Location [0,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.notnot Location [0,0,0] Term "Nothing" Focus "Nothing" Environment ((p /\ ~q /\ T /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,0,0,0,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,0,0,0,0,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,0,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.notnot Location [0,0,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ p /\ ~q /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,0,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.notnot Location [0,0,1,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ p /\ ~q /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.notnot Location [0,0,1,1,1,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ p /\ ~q /\ T) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,0,1,1,1,1,1,0,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,0,1,1,1,1,1,0,0,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.notnot Location [0,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (p /\ ~q /\ T /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,1,0,0,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,1,0,0,0,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.notnot Location [0,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ p /\ ~q /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,1,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.notnot Location [0,1,1,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ p /\ ~q /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.notnot Location [0,1,1,1,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ p /\ ~q /\ T /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,1,1,1,1,1,0,0,0] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: noRule logic.propositional.truezeroand Location [0,1,1,1,1,1,0,0,0,1] Term "Nothing" Focus "Nothing" Environment ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ ~r)) /\ ((~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ q /\ ~~(p /\ ~q /\ T)) || (~~(p /\ ~q /\ T) /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ ~r)) /\ ~~(p /\ ~q /\ T /\ p /\ ~q /\ T) /\ ~(~(p /\ ~q /\ T) /\ ~(p /\ ~q /\ T)) /\ ~~(p /\ ~q)ready: no