YES appappappfappappgxyxzappappappfzzzappappgxyxappappgxyyappappmapfunnilnilappappmapfunappappconsxxsappappconsappfunxappappmapfunxsappappfilterfunnilnilappappfilterfunappappconsxxsappappappappfilter2appfunxfunxxsappappappappfilter2truefunxxsappappconsxappappfilterfunxsappappappappfilter2falsefunxxsappappfilterfunxs2.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 Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Statistics for single proof: 100.00 % (4 real / 0 unknown / 0 assumptions / 4 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe