May you optimise may code further $.$ I am coding a sat solver but i do not know how to optimise it further. Take your time $,$ analyse and come with the best solution you can get. Please make sure your code is correct and is faster than mine, most expert just send me a code that either is not working or is slower than mine.

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$\_$literals $=\{$clause$[0]$ for clause in clauses if len$($clause$)==1\}$

if not unit$\_$literals:

break

for unit$\_$literal in unit$\_$literals:

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

if clauses is False:

return False, assignment

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

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