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