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