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