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