May you optimise my code and make it faster $.$You may want use some advance sat solve tecnique $.$ Take your time $,$ I am not in a rush for the answer $,$ but please give me a faster and more importantly a correct version of my code $.$

My code :

def update$\_$clauses$($clauses$,$ literal$)$:

updated$\_$clauses $=[]$

for clause in clauses:

if literal in clause:

continue # Skip the clause as it's satisfied

new$\_$clause $=[$x for x in clause if x $!=-$literal$]$

if not new$\_$clause:

return False # Unsatisfiable clause found

updated$\_$clauses.append$($new$\_$clause$)$

return updated$\_$clauses # Always return a list

def choose$\_$variable$($clauses$)$:

literal$\_$count $=\{\}$

for clause in clauses:

for literal in clause:

literal$\_$count$[$abs$($literal$)]=$ literal$\_$count.get$($abs$($literal$),0)+1$

return max$($literal$\_$count, key$=$literal$\_$count.get$)$

def unit$\_$propagation$($clauses$,$ assignment$)$:

while True:

unit$\_$clause $=$ next$(($clause$[0]$ for clause in clauses if len$($clause$)==1),$ None$)$

if unit$\_$clause is None:

break

clauses $=$ update$\_$clauses$($clauses$,$ unit$\_$clause$)$

if clauses is False:

return False, assignment

assignment$[$abs$($unit$\_$clause$)]=$ unit$\_$clause $>0$

return clauses, assignment

def dpll$\_$sat$\_$solve$($clauses$,$ assignment$=$None$)$:

if assignment is None:

assignment $=\{\}$

clauses, assignment $=$ unit$\_$propagation$($clauses$,$ assignment$)$

if clauses is False:

return False

if all$($len$($clause$)==0$ for clause in clauses$)$:

return assignment

var $=$ choose$\_$variable$($clauses$)$

unassigned$\_$vars $=\{$abs$($literal$)$ for clause in clauses for literal in clause if abs$($literal$)$ not in assignment$\}$

if not unassigned$\_$vars:

return assignment

for value in $[$True$,$ False$]$:

new$\_$assignment $=$ assignment.copy$()$

new$\_$assignment$[$var$]=$ value

result $=$ dpll$\_$sat$\_$solve$($update$\_$clauses$($clauses$,$ var if value else $-$var$),$ new$\_$assignment$)$

if result is not False:

return result

return False