Убить дочерний процесс, не трогая основной

set PARENT=proga.exe
set CHILD=update.exe
 
for /F "tokens=1 skip=1" %%A in ('wmic.exe path win32_Process where "Name='%PARENT%'" get ProcessID') do (
  wmic.exe path win32_Process where "Name='%CHILD%' and ParentProcessID=%%A" delete
)

wmic:root\cli>path win32_Process /?
 
Escapes to full WMI object paths.
USAGE:
 
PATH (<path expr> | (<class path expr> [WHERE <where clause>])) ASSOC [<format specifier>]
PATH (<path expr> | (<class path expr> [WHERE <where clause>])) CALL <method name> [<actual param list>]
PATH (<path expr> | (<class path expr> [WHERE <where clause>])) CREATE <assign list>
PATH (<path expr> | (<class path expr> [WHERE <where clause>])) DELETE
PATH (<path expr> | (<class path expr> [WHERE <where clause>])) GET [<property list>] [<get switches>]
 
wmic:root\cli>

@echo off
color 1F
title Killing of child and parent processes
setlocal enabledelayedexpansion
:setvalues
set "parent=proga.exe"
set "child=dw20.exe"
set "tmt1=60"
set "tmt2=60"
set "parentpid="
set "childpid1="
set "childpid2="
set "childpid3="
goto checking1
:checking1
for /f "tokens=2 skip=1" %%a in ('tasklist /fi "imagename eq %parent%" /nh') do (
  set "parentpid=%%a"
  if !parentpid! gtr !0! (
    echo %date% %time:~,-3% - The %parent% ^(PID !parentpid!^) is running
  )
)
if !parentpid! equ !0! (
  echo %date% %time:~,-3% - The %parent% is not running
  goto pause
)
(for /f "tokens=2 skip=1" %%b in ('wmic.exe path win32_Process where "Name='%child%' and ParentProcessID='!parentpid!'" get ProcessID') do (
  set "childpid2=%%b"
))>nul 2>&1
(for /f "tokens=1 skip=1" %%c in ('wmic.exe path win32_Process where "Name='%child%' and ParentProcessID='!parentpid!'" get ProcessID') do (
  set "childpid1=%%c"
  goto checking2
))>nul 2>&1
:checking2
if !childpid2! equ !0! (
  echo %date% %time:~,-3% - The %child% is not running
  goto tmt2
)
if !childpid2! gtr !0! (
  echo %date% %time:~,-3% - The %child% ^(PID !childpid1!^) is running
  goto killchild
)
:tmt1
echo.
echo %date% %time:~,-3% - Waiting for the launching %parent%
echo.
timeout /t %tmt1% /nobreak>nul
cls
goto setvalues
:tmt2
echo.
echo %date% %time:~,-3% - Waiting for the launching %child%
echo.
timeout /t %tmt2% /nobreak>nul
cls
goto setvalues
:killchild
echo.
echo %date% %time:~,-3% - Killing of %child% ^(PID !childpid1!^) and its child processes
echo.
taskkill /pid !childpid1! /f /t
goto killparent
:killparent
(for /f "tokens=2 skip=1" %%d in ('wmic.exe path win32_Process where "Name='%child%' and ParentProcessID='!parentpid!'" get ProcessID') do (
  set "childpid3=%%d"
))>nul 2>&1
if !childpid3! equ !0! (
  echo.
  echo %date% %time:~,-3% - The %child% is not running, killing of %parent% ^(PID !parentpid!^) and its child processes
  echo.
  taskkill /pid !parentpid! /f /t
)
echo.
goto setvalues
:pause
echo.
pause
exit