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After the local BrainBashers Derby, some friends were telling everyone who had won. Unfortunately, the friends were having problems with their memories and in the course of the evening they changed their minds a number of times. In summary they made the following statements:

Alan said:
   Steve Short won on Trigger.
   Tim Tiny won on Red Rum.
   Dave Diddy won on Trigger.

Brian said:
   Simon Small won on Black Beauty.
   Dave Diddy won on Trigger.
   Steve Short won on Red Rum.

Charlie said:
   Tim Tiny won on Black Beauty.
   Simon Small won on Black Beauty.
   Simon Small won on Red Rum.

Derek said:
   Tim Tiny won on Trigger.
   Dave Diddy won on Red Rum.
   Simon Small won on Black Beauty.

However, none of the statements were fully true. In fact, only six of the statements were exactly half true (i.e. either the person won, or the horse did), the rest were false. Can you determine who won and which horse they were riding?

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[Ref: ZXSC] © Kevin Stone


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