First of all I would control the checksum (MD5) of the ISO you downloaded.
Assuming everything is OK you can proceed as follows:
Hit F5 at boot and insert:
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sabayon xdriver=vesa
or (assuming your native resolutios is 1366x768)
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sabayon xdriver=vesa opengl=xorg-x11 res=1366x768
Try also with:
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sabayon xdriver=vesa vga=771 acpi=off
If you start regularly Sabayon Live, your issue is probably due to an unrecognized hardware and I believe (but am not sure) you need the [xf86-video-intel] driver for your hardware.
The page you linked contains a guide to configure the kernel in order to use the intel driver module... (should all already in place)

--- EDIT
I see KMS issue this from your link... so try also:
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sabayon nomodeset