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