Section SPP_tarski.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

Lemma impossible_case_5 : forall P Q R S T U I,
BetS P T Q ->
BetS R T S ->
BetS Q U R ->
~ Col P Q S ->
~ Col P R U ->
Par P R Q S ->
Par P S Q R ->
Bet S Q I ->
Bet U I P ->
False.