appgapphappgxappgxappgappgxappgapphappgxapphapphxapphappappfapphxxappappmapfunnilnilappappmapfunappappconsxxsappappconsappfunxappappmapfunxsappappfilterfunnilnilappappfilterfunappappconsxxsappappappappfilter2appfunxfunxxsappappappappfilter2truefunxxsappappconsxappappfilterfunxsappappappappfilter2falsefunxxsappappfilterfunxs2.1appg0gg1h0hh1f0ff1f2map0mapmap1map2nil0nilcons0conscons1cons2filter0filterfilter1filter3filter20filter2filter21filter22filter23filter24true0truefalse0falseappgy1g1y1apphy1h1y1appfy1f1y1appf1x0y1f2x0y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1g1h1g1xg1xg1g1xg1h1g1xh1h1xh1f2h1xxmap2funnilnilmap2funcons2xxscons2appfunxmap2funxsfilter3funnilnilfilter3funcons2xxsfilter24appfunxfunxxsfilter24truefunxxscons2xfilter3funxsfilter24falsefunxxsfilter3funxsappgy1g1y1apphy1h1y1appfy1f1y1appf1x0y1f2x0y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1g1g1xg1h1g1xg1g1xh1g1xh1h1xh1f2h1xxmap2funcons2xxsappfunxmap2funcons2xxsmap2funxsfilter3funcons2xxsfilter24appfunxfunxxsfilter3funcons2xxsappfunxfilter24truefunxxsfilter3funxsfilter24falsefunxxsfilter3funxsappgy1g1y1apphy1h1y1appmap1x0y1map2x0y1appfilter1x0y1filter3x0y1appfilter23x0x1x2y1filter24x0x1x2y1trueappmap1x0y1map2x0y1map2funcons2xxsappfunxappfilter1x0y1filter3x0y1filter3funcons2xxsappfunxappfilter23x0x1x2y1filter24x0x1x2y1filter24truefunxxsfilter3funxsfilter24falsefunxxsfilter3funxsmap2funcons2xxsmap2funxstrue1map1111cons221112filter1111filter233111213true00false00map221112app21112filter321112filter24411121314appmap1x0y1map2x0y1map2funcons2xxsappfunxappfilter1x0y1filter3x0y1filter3funcons2xxsappfunxappfilter23x0x1x2y1filter24x0x1x2y1filter24truefunxxsfilter3funxsfilter24falsefunxxsfilter3funxsmap2funcons2xxsmap2funxsmap2funcons2xxsappfunx1false12true2map2funcons2xxsmap2funxs1false12true2filter3funcons2xxsappfunx1false12true2appmap1x0y1map2x0y11true12false2appfilter1x0y1filter3x0y11true12false2appfilter23x0x1x2y1filter24x0x1x2y11true11true21true32false4filter24truefunxxsfilter3funxs2false14false2filter24falsefunxxsfilter3funxs2false14false2appgy1g1y1falseg1g1xg1h1g1xtrueg110g111h111f222g111g111h11f222h1h1xh1f2h1xxg1g1xh1g1xfalseapphy1h1y1falseh1h1xh1f2h1xxfalsefilter3funcons2xxsfilter24appfunxfunxxsfalseAProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (7 real / 0 unknown / 0 assumptions / 7 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe