P1. Qualia, by definition, are intrinsic, non-representational properties of conscious mental states.
P2. Intrinsic, non-representational properties cannot, by definition, be completely analysed in terms of their causal roles.
C1. Therefore, if qualia exist, some mental properties cannot be analysed in terms of their causal roles.
P3. Functionalism claims that all mental properties are functional properties which can be completely analysed in terms of their causal roles.
C2. Therefore, if qualia exist, functionalism is false.
P4. Qualia exist.
C3. Therefore, functionalism is false.