Untested: See if it works.
Simba Code:
program KeepLoggedIn;
{$i srl/srl.simba}
var Button1, Button2, X, Y : Integer;
begin
SetupSRL;
Button1 := BitmapFromString(125, 30, 'meJydmlGLFDEQhP07+iIoiLigIvugwu29LAr76v//DedAY1Fb1dXJuoRjJpPJTL7uVHcyd3t+uv78fpTb89Of37+OvyhyOpS5ZfV/OX+r8uPL56PgoWgg5Wgpp1yOHrzmfPp0ev8O5evHD0fN8bdO67gq67gOUM9XvQ03q87RM8rbN6+rSL0XjN1ZFU8g5eOjHCNFpVxqsTO64aEt/5YwlzIl6mWMTJVZtY3lqpTUFWPHQ8X63J65gR4z96vFLdFmpIBWzjnYNzFn7Bg4E3YsglrYokG9Urq97by1kbh3O0FwIw5aegm48JnlBcTcn2fJYtpwYz4W92b/ZI+q8cJAbAh0mLAzeZEmd3KeOK2T+y3MrXV7meAivK4bOOVJsYOdO4R0uMIkPecBgraMt3XdFmML1lu6sdzn29nBtFuhYJgc5oQAPB+XWD2EedKTurfedtnSZ4QHvjY+8mRnGkvsbdRw2fdJ59j30xUeqYj/HEM5dVkWtJdMpgXOCuBClDQHE6HVFuHPyuxyMeQtSY6AXSQFzjnIuwt4Swlq4+LAApKkjINIax3PZDwQiNpIyEu5yj7GBHZu48zbeDow58EKVdf/Nkwkx26TRjyIa7iSX8BTSsGeMiJYyhnOSHeS9tN9SN308Cov9pMI2AZEyUNmAXe8klqIh6f0vl4PPHEqzOXU9WTTzx/y9kdLvfyr+x+oQqzcaROl6lAmgpuymA9JDjt8vQxelbHjdCk44J94bq5MuQxJXRIWwZ5yGxeZdhbARugQcjQsi0RbKryy1PCN6LnqE3bX/00xd29P5sApC/vNFvttlsLOWWMpUC7pYiPJc1jYuUN5BIsz2CIPFD1hiwBdwi76/yjkVHb6YZjXsCfQ5oes6gjEOEUDeGOpEBPm26USMOsueCx+nAGm+CLaDs6tFfADNHlcGZorZ7efsXOSBsJX2weTgOvaLvV8FSNlc0hQYBoIE0yS+wQKuYsRsXSgjZz6Q8XK3G1NMRla4eXcfo6zKGlZtJnJ1Msj8/RoK/O6DMqmgd2lQ2bS4pV6iZWY78y5PBmn7u0eDri9mOP/gilE5kKr+53UsVoyyerBvR2TXbAffxmgYHdDiFGWx7IJzPXeDALI5F/ufz4LRE9kO2Ip74n5TJ6x32jfQDRfxBxZygx2ebVF3TKpAruLWEnwbbvCr5C2j+A99s24fABMCeRO3s4/0W2MVJKH1pEkTIvIJOzJM3ntUzTa5w5e7Zc4zrq3s4wvM5zSdkn2WOFn8q/sB/Wo2+uYMxk+xo+nAFdK/uP1WBCxoYsbJzOY+/LcoXLZntNahu+r1NYQaXXjiyBPtsU0brhb2MK60LcP7uQ6fmlKy1KPIOxgcHiOs1BgrzzlT0u+jdbmLa42rPx1wLLsYOdN3XY6uC3a1euOjrXAZbOxFSVZcsq36aqXxanLcoK/DJpsIN6B5+OBW1orIQrPrNyIm1Fj8POzfa0W0S4FONnu+vn+Mwfv6vAKd8k8ubcYTiaUzKzTv1XqvivOJFl5MCPSlHnIyZOwuAizYwtSXMK2AKzpPnzutoUxNcRA/j1lvkskGls07cCHfb/yf1H+RHVJe34Qv1tLpkKqX5KaOd+QUpufrid4Irw9fbfimAsIHihTOOPNW9d5j7lSUjDlZxW31MMQZ8W9RWfAYVOlW8KtpVzGUz/YHEhjn+FD3h/C0qZAaX5JS++ZfXvgLyHVybfO7xIxT5M2sLbfXrEnI4q9DH+Q66X8uildr7xNQi3WSV9MnD9QXywXSomKEHtoW3i5USMpyhJ4SmzYUdtPSK1uJ/0RTxiQLsmL5si9crojPvNSdHNn7CHIQ1azCUGcTchLwHUP57xxOdH8ce7n/n0kYd/kybu7/j8zKH8BTFx6VQ==');
Button2 := BitmapFromString(108, 27, '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');
repeat
if FindBitmapToleranceIn(Button1, X, Y, MSX1, MSY1, MSX2, MSY2, 15) then
begin
Writeln('Must be logged out');
MMouse(X,Y,2,2);
ClickMouse2(true);
end;
if FindBitmapToleranceIn(Button2, X, Y, MSX1, MSY1, MSX2, MSY2, 15) then
begin
MMouse(X,Y,2,2);
ClickMouse2(true);
end;
until (false);
end.
Edit: There are plenty of other ways to do this, I just quickly whipped this up