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Neverplush
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Neverplush, made by User:Marcus 2n2 is the smallest esolang that is Non-Plushie-complete.
Instructions
The accumulator starts at 1. This prevents it from storing the number 2.
+Increments the accumulator by 2.!Outputs the accumulator as an ASCII character. Note that this doesn't reset the accumulator.
Plushie-incompleteness proof
1 3 + 5 ++ ... 47 +++++++++++++++++++++++ 49 ++++++++++++++++++++++++ 49 ++++++++++++++++++++++++! (1) 51 ++++++++++++++++++++++++!+ (1) 51 ++++++++++++++++++++++++!+! (13) Since there is no decrement command, it is IMPOSSIBLE to print 31.
Error that prevents you from storing 67:
DON'T HELLO MY WORLD.