Hi Bill,

On Fri, Jul 20, 2012 at 9:00 PM, Bill Richter
<[email protected]> wrote:
>   I'm looking for some kind of upper bound on how  astounding a result you 
> can prove with little work if we have no heuristics, e.g. no `limit on depth 
> of chaining.'

There is no established limit. There are just optimists, pessimists,
and measures of progress. In some parts of math, systems like
Waldmeister and Prover9 already produce fairly astounding results,
like the proof of the Robbins conjecture
(http://en.wikipedia.org/wiki/Robbins_algebra). See Stanovsky &
Philips (ceur-ws.org/Vol-378/paper3.pdf) for recent overview of
results in loop theory. A more representative collection of problems
is the TPTP library (tptp.org). Performance of systems on such
problems is annually measured in the CASC competition (tptp.org/CASC).

It is also hard to define what "little work" means. A very small
system like leanCoP  (http://www.leancop.de/) can be surprisingly
powerful on some problems.

Best,
Josef

>
> --
> Best,
> Bill
>
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