Non-Trivial is sometimes used by engineers / scientist to (jokingly?) describe the extremely difficult problems that they are faced with.
Some Non-Trivial problems.
The Mechanism Behind High-Temperature Superconductors
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Build this suspension bridge out of string and Duct-tape.
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Non-arbitrary.
Existing in ultrafinitive space rather than ultra-nihilistic space.
A non-trivial solution exists within the bounds of pan-contiguity. Specifically: non-trivial solutions can be expressed as a function of the ultra-finitive space of local heat-conservation (the-turquoise-line).