@oe1cxw Found on Facebook (unfortunately). Solving it this way was more fun!pic.twitter.com/cYj8KBqx7P
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Yes, there are specialized elliptic curve solvers of course. But nothing generic that just looks at that (i.e. an equivalent set of formal constraints) and knows what to do with it.
Ohhh yes, that problem is a doozy. Good answer on Quora about it; the answer is like dozens of digits long if memory serves. I'd thought about trying that problem and seeing if z3 chokes on it, but seems like you already did :P.
The combination lock one is a bit tougher for me (I haven't looked at your solution- trying it myself). How do I create an "3-long array of Ints" constant in SMTv2? If I can't, do I need to create tuples using (declare-datatype) to represent lock combinations?
You don't need arrays for this. Simply use three variables and (to keep the code short) helper functions like those below. (You could use arrays and for-all expressions. But the best case scenario is that the solver figures out how to unroll this to code using 3 simple vars.)pic.twitter.com/jMMma26PwT
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