Synthesizable vs non-synthesizable code

Yeah the values for sig_1, sig_2, sig_3 are calculated based on the inputs and only based on the inputs can we know whether they are equal to 11111 or not. So during synthesis when no test bench is applied the values of the sig_1, sig_2, sig_3 is not known and hence the 'output' signal cannot be assigned with anything. Hence the warning message (10034): output port at <> has no driver .

So once input vectors are given to the design it should be able to calculate all the values and assign 'output' with some value cuz the simulation is working fine in modelsim. Will the hardware work fine once its driven with inputs? Can you kindly let me know if I should ignore the warning (10034) message during synthesis ?

Thanks a lot for your help.