Consider the following premises. If James were a poet, then it is cold. If Jessica were happy, then it is cold. Thomas is an artist. Joseph is driving a car or James is a poet. Joseph is not driving a car or Jessica is happy. Can we infer the following from them? It is not cold.
 From the fact that Joseph is driving a car or James is a poet, and that Joseph is not driving a car or Jessica is happy we can infer that James is a poet or Jessica is happy. Finally, from the fact that if James were a poet, then it is cold, that if Jessica were happy, then it is cold, and that James is a poet or Jessica is happy we can infer that it is cold, which contradicts that It is not cold. Therefore, the answer is no.