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The Collaborative International Dictionary
Outdream

Outdream \Out*dream"\, v. t. To pass, or escape, while dreaming. ``To outdream dangers.''
--Beau. & Fl.

Wiktionary
outdream

vb. 1 (context transitive English) To surpass in dreams or imagination. 2 (context transitive obsolete English) To pass or escape while dreaming.