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