(:specified   (test     eql)  ())

(:specified   (test     foo)  (:test     foo))
(:specified   (test-not bar)  (:test-not bar))
(:specified   type-error      (:test     nil))
(:specified   type-error      (:test-not nil))

(:unspecified (test     foo)  (:test foo :test-not nil))
(:unspecified (test-not bar)  (:test nil :test-not bar))
(:unspecified error           (:test foo :test-not bar))
(:unspecified error           (:test nil :test-not nil))