code:

$Credential = Get-Credential
$PCName = Get-Content "C:\path\to\file\remotecomputers.txt"

foreach ($name in $PCName) {
    $prog = Get-WmiObject Win32_product -ComputerName $name -Credential $Credential | Where-Object Name -eq "ProgramX"
    if ($prog) {
        Write-Host "Found ProgramX install on $name"
        Invoke-Command -ComputerName $name -Credential $Credential -ScriptBlock {Start-Process cmd.exe -ArgumentList {"/c C:\windows\ProgramX\programx.exe /uninstall" };
            Start-Process -wait cmd.exe -ArgumentList {"/c RD /S /Q `"%WinDir%\System32\GroupPolicyUsers`""};
            Start-Process -wait cmd.exe -ArgumentList {"/c RD /S /Q `"%WinDir%\System32\GroupPolicy`""};
            Start-Process -wait cmd.exe -ArgumentList {"/c gpupdate /force"}
        }
        Write-Host "Finished process on $name"
    }
}