appappminusx0xappappminusappsxappsyappappminusxyappappquot0appsy0appappquotappsxappsyappsappappquotappappminusxyappsyapplogapps00applogappsappsxappsapplogappsappappquotxappsapps0appappmapfnilnilappappmapfappappconsxxsappappconsappfxappappmapfxsappappfilterfnilnilappappfilterfappappconsxxsappappappappfilter2appfxfxxsappappappappfilter2truefxxsappappconsxappappfilterfxsappappappappfilter2falsefxxsappappfilterfxs2.1appminus0minusminus1minus2000s0ss1quot0quotquot1quot2log0loglog1map0mapmap1map2nil0nilcons0conscons1cons2filter0filterfilter1filter3filter20filter2filter21filter22filter23filter24true0truefalse0falseappminusy1minus1y1appminus1x0y1minus2x0y1appsy1s1y1appquoty1quot1y1appquot1x0y1quot2x0y1applogy1log1y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1minus2x0xminus2s1xs1yminus2xyquot20s1y0quot2s1xs1ys1quot2minus2xys1ylog1s100log1s1s1xs1log1s1quot2xs1s10map2fnilnilmap2fcons2xxscons2appfxmap2fxsfilter3fnilnilfilter3fcons2xxsfilter24appfxfxxsfilter24truefxxscons2xfilter3fxsfilter24falsefxxsfilter3fxsappminusy1minus1y1appminus1x0y1minus2x0y1appsy1s1y1appquoty1quot1y1appquot1x0y1quot2x0y1applogy1log1y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y110minus2s1xs1yminus2xyquot2s1xs1yquot2minus2xys1yquot2s1xs1yminus2xylog1s1s1xlog1s1quot2xs1s10log1s1s1xquot2xs1s10map2fcons2xxsappfxmap2fcons2xxsmap2fxsfilter3fcons2xxsfilter24appfxfxxsfilter3fcons2xxsappfxfilter24truefxxsfilter3fxsfilter24falsefxxsfilter3fxsappminus1x0y1minus2x0y1appquot1x0y1quot2x0y1applogy1log1y1appmap1x0y1map2x0y1appfilter1x0y1filter3x0y1appfilter23x0x1x2y1filter24x0x1x2y1trueappmap1x0y1map2x0y1map2fcons2xxsappfxappfilter1x0y1filter3x0y1filter3fcons2xxsfilter24appfxfxxsfilter24truefxxsfilter3fxsfilter3fcons2xxsappfxappfilter23x0x1x2y1filter24x0x1x2y1filter24falsefxxsfilter3fxsmap2fcons2xxsmap2fxstruemap2fcons2xxsappfx1false12true2map2fcons2xxsmap2fxs1false12true2filter3fcons2xxsappfx1false12true2appmap1x0y1map2x0y11true12false2filter3fcons2xxsfilter24appfxfxxs1false22true32true4appfilter1x0y1filter3x0y11true12false2appfilter23x0x1x2y1filter24x0x1x2y11true11true21true32false4filter24truefxxsfilter3fxs2false14false2filter24falsefxxsfilter3fxs2false14false2applogy1log1y1falselog1s1s1xlog1s1quot2xs1s10truequot20s1y0quot2s1xs1ys1quot2minus2xys1yminus2x0xminus2s1xs1yminus2xyminus2x00minus2s1x0s1x1quot20s1x0quot2s1x0s1x11s11010011log111s111quot22100minus221log1s1s1xquot2xs1s10falseappquot1x0y1quot2x0y1falsequot2s1xs1yquot2minus2xys1ytrueminus2x0xminus2s1xs1yminus2xyminus2x00minus2s1x0s1x1quot221s110002quot2221s111minus22100quot2s1xs1yminus2xyfalseappminus1x0y1minus2x0y1falseminus2s1xs1yminus2xytrueminus2s1xs1yminus2xy1true12true2AProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (16 real / 0 unknown / 0 assumptions / 16 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe