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