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