### CONTEXT (Previous Events):
<system_output timestamp="553.94927">[?25l[33mr [39;49m[?12l[?25h[?12;25h</system_output>
<user_input timestamp="554.067346">e</user_input>
<system_output timestamp="554.091744">[?25l[33me [39;49m[?12l[?25h[?12;25h</system_output>
<user_input timestamp="554.303366">.</user_input>
<system_output timestamp="554.315096">[?25l[33m. [39;49m[?12l[?25h[?12;25h</system_output>
<user_input timestamp="554.974468"/>
<user_input timestamp="555.31162"/>
<system_output timestamp="555.324424">[110;1H[?25lSaving file /home/fai/config/scripts/FAIBASE/40-misc.sh...[30;43H[?12l[?25h[?12;25h</system_output>
<system_output timestamp="555.356153">[110;1H[?25lWrote /home/fai/config/scripts/FAIBASE/40-misc.sh[K[30;43H[?12l[?25h[?12;25h</system_output>
<system_output timestamp="555.379065">[55;6H[?25l[7m%%--F1  [0m[39;49m[27m[7m[1m40-misc.sh  [0m[39;49m[27m[7m   Top L29   [0m[39;49m[27m[7mGit:[0m[39;49m[27m[30d[?12l[?25h[?12;25h</system_output>
<user_input timestamp="555.667228"/>
<system_output timestamp="555.690466">[110;1H[K[30;43H</system_output>
<user_input timestamp="556.25701"/>
<system_output timestamp="556.269797">[110;1H[K[?1004l[?2004l[&gt;4m[?1l&gt;[?12l[?25h[?1049l[23;0;0t[39;49m
</system_output>

### TARGET LINE (Extract and Classify THIS Timestamp):
<system_output timestamp="556.280463">[?2004h]0;demo@faiserver: /home/fai/config/scripts/FAIBASEdemo@faiserver:/home/fai/config/scripts/FAIBASE$ </system_output>

Answer: 556.280463, new event