appapptimesx00appapptimesxappsyappappplusappapptimesxyxappappplusx0xappappplus0xxappappplusxappsyappsappappplusxyappappplusappsxyappsappappplusxyappappmapfnilnilappappmapfappappconsxxsappappconsappfxappappmapfxsappappfilterfnilnilappappfilterfappappconsxxsappappappappfilter2appfxfxxsappappappappfilter2truefxxsappappconsxappappfilterfxsappappappappfilter2falsefxxsappappfilterfxs2.1apptimes0timestimes1times2000s0ss1plus0plusplus1plus2map0mapmap1map2nil0nilcons0conscons1cons2filter0filterfilter1filter3filter20filter2filter21filter22filter23filter24true0truefalse0falseapptimesy1times1y1apptimes1x0y1times2x0y1appsy1s1y1appplusy1plus1y1appplus1x0y1plus2x0y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1times2x00times2xs1yplus2times2xyxplus2x0xplus20xxplus2xs1ys1plus2xyplus2s1xys1plus2xymap2fnilnilmap2fcons2xxscons2appfxmap2fxsfilter3fnilnilfilter3fcons2xxsfilter24appfxfxxsfilter24truefxxscons2xfilter3fxsfilter24falsefxxsfilter3fxsapptimesy1times1y1apptimes1x0y1times2x0y1appsy1s1y1appplusy1plus1y1appplus1x0y1plus2x0y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1times223000s111plus222map2212nil04cons225app212filter3212filter24412true013false014times015times116s016plus017map018map117cons019cons118filter020filter2021filter21111filter22210filter2339times221200s111plus2212map2221nil0cons2212app221filter3221filter2444213true0false0times0times111s0plus0plus111map0map111cons0cons111filter0filter111filter20filter2111filter22212filter233132appfilter1x0y1filter3x0y11filter1101app220filter3211AProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (4 real / 0 unknown / 0 assumptions / 4 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe