YES appappappquot0appsyappsz0appappappquotappsxappsyzappappappquotxyzappappappquotx0appszappsappappappquotxappszappszappappmapfnilnilappappmapfappappconsxxsappappconsappfxappappmapfxsappappfilterfnilnilappappfilterfappappconsxxsappappappappfilter2appfxfxxsappappappappfilter2truefxxsappappconsxappappfilterfxsappappappappfilter2falsefxxsappappfilterfxs2.1appquot0quotquot1quot2quot3000s0ss1map0mapmap1map2nil0nilcons0conscons1cons2filter0filterfilter1filter3filter20filter2filter21filter22filter23filter24true0truefalse0falseappquoty1quot1y1appquot1x0y1quot2x0y1appquot2x0x1y1quot3x0x1y1appsy1s1y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1quot30s1ys1z0quot3s1xs1yzquot3xyzquot3x0s1zs1quot3xs1zs1zmap2fnilnilmap2fcons2xxscons2appfxmap2fxsfilter3fnilnilfilter3fcons2xxsfilter24appfxfxxsfilter24truefxxscons2xfilter3fxsfilter24falsefxxsfilter3fxsappquoty1quot1y1appquot1x0y1quot2x0y1appquot2x0x1y1quot3x0x1y1appsy1s1y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y110quot3s1xs1yzquot3xyzquot3x0s1zquot3xs1zs1zmap2fcons2xxsappfxmap2fcons2xxsmap2fxsfilter3fcons2xxsfilter24appfxfxxsfilter3fcons2xxsappfxfilter24truefxxsfilter3fxsfilter24falsefxxsfilter3fxsappquot2x0x1y1quot3x0x1y1appmap1x0y1map2x0y1appfilter1x0y1filter3x0y1appfilter23x0x1x2y1filter24x0x1x2y1trueappmap1x0y1map2x0y1map2fcons2xxsappfxappfilter1x0y1filter3x0y1filter3fcons2xxsappfxappfilter23x0x1x2y1filter24x0x1x2y1filter24truefxxsfilter3fxsfilter24falsefxxsfilter3fxsmap2fcons2xxsmap2fxstruemap2fcons2xxsappfx1false12true2map2fcons2xxsmap2fxs1false12true2filter3fcons2xxsappfx1false12true2appmap1x0y1map2x0y11true12false2appfilter1x0y1filter3x0y11true12false2appfilter23x0x1x2y1filter24x0x1x2y11true11true21true32false4filter24truefxxsfilter3fxs2false14false2filter24falsefxxsfilter3fxs2false14false2appquot2x0x1y1quot3x0x1y1falsequot3x0s1zquot3xs1zs1zquot3s1xs1yzquot3xyztruequot3s1xs1yzquot3xyz1true12true23false3quot3x0s1zquot3xs1zs1z1false13false23false3filter3fcons2xxsfilter24appfxfxxsfalseAProVEAProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Statistics for single proof: 100.00 % (10 real / 0 unknown / 0 assumptions / 10 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe