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Its fairly easy to solve with Conditional Reasoning/Formal Logic

Premise I (Bold face 1) : Daphne --> Ernie. (If daphne goes to the park then Ernie must have gone to the park).

Premise II : Ernie --> Frank brings his dog.

Combining Premises we have the following chain: Daphne --> Ernie --> Frank + dog. Contapositive of this is ~ (Frank + dog) --> ~ Ernie --> ~ Daphne

Conclusion : (Second Bold face) : ~ (Frank + dog) --> ~ Daphne.

Since conclusion follows from the premises (or their contrapositive), the Conclusion is indeed supported by the premises.



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