Step 1: Understand disproportionation reaction.
A disproportionation reaction is a redox reaction in which the same element is simultaneously oxidized and reduced.
That means the same element must show an increase as well as a decrease in oxidation number in the same reaction.
Step 2: Check option (1).
For
\[
\mathrm{CaCO_3 \longrightarrow CaO+CO_2}
\]
Oxidation state of carbon in \(\mathrm{CaCO_3}\) is
\[
+4
\]
Oxidation state of carbon in \(\mathrm{CO_2}\) is also
\[
+4
\]
There is no oxidation or reduction of the same element.
So, this is not a disproportionation reaction.
Step 3: Check other options briefly.
In option (2), phosphorus undergoes both oxidation and reduction.
In option (3), oxygen in \(\mathrm{H_2O_2}\) changes from \(-1\) to \(-2\) in water and \(0\) in oxygen.
In option (4), copper changes from \(+1\) to \(+2\) and \(0\).
Hence, options (2), (3), and (4) are disproportionation reactions.
Step 4: Final conclusion.
Therefore, the reaction which is not a disproportionation reaction is
\[
\boxed{\mathrm{CaCO_3 \longrightarrow CaO+CO_2}}
\]