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