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