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