One of the possibilities for making (13) intelligible is to yield the reading "a police officer caught a criminal and there is a man."
to get such an interpretation, man(r) should be associated with an event argument, and the discourse referent r must be linked to a theme role, as in theme(r, e'), where e' is an event argument different from e. In other words, man(r) itself is a well-formed condition, but without an event argument it is not a well-formed event-semantic proposition.