The type of airplane is B744,
So now I can understand in order to avoid unnecessary exposure to contaminated runway ,The use of max rated thrust to get off the ground ASAP is reasonable.
For anti-skid inop or brake deactivated .It is because in these conditions, after takeoff you have to wait for two minutes for wheels to spin down before retract landing gear. Thus climb capability is greatly reduced , this is why you have to use max thrust for takeoff.
Still don't know why we cannot use ATM after application of anti-ice fluid, because we don't have to make any adjustment of airplane performance after anti-iced.