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