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