appfappgxappgappfappfxappfapphxapphappgxappappmapfunnilnilappappmapfunappappconsxxsappappconsappfunxappappmapfunxsappappfilterfunnilnilappappfilterfunappappconsxxsappappappappfilter2appfunxfunxxsappappappappfilter2truefunxxsappappconsxappappfilterfunxsappappappappfilter2falsefunxxsappappfilterfunxs2.1appf0ff1g0gg1h0hh1map0mapmap1map2nil0nilcons0conscons1cons2filter0filterfilter1filter3filter20filter2filter21filter22filter23filter24true0truefalse0falseappfy1f1y1appgy1g1y1apphy1h1y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1f1g1xg1f1f1xf1h1xh1g1xmap2funnilnilmap2funcons2xxscons2appfunxmap2funxsfilter3funnilnilfilter3funcons2xxsfilter24appfunxfunxxsfilter24truefunxxscons2xfilter3funxsfilter24falsefunxxsfilter3funxsappfy1f1y1appgy1g1y1apphy1h1y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1map222nil03cons221app22filter322filter2442true02false04f05g06h07map08cons09cons110filter010filter200filter2110filter2220filter2332f111g111h111map2212nil0cons2212app212filter3212filter2442431true0false0f0g0h0map0map111cons0cons111filter0filter111filter20filter2111filter22212filter233213f1g1xg1f1f1xf1h1xh1g1xappmap1x0y1map2x0y1appfilter1x0y1filter3x0y11f1111g1111h1121app21122map1121map222122filter11121filter322112f1g1xg1f1f1xf1h1xh1g1xappmap1x0y1map2x0y1h111app22map220f111g111h111app212map111map2212f1g1xg1f1f1xf1h1xh1g1x10f1g1xf1f1xf1g1xf1xtrue1g1101h1111f111g111f111h11AProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (8 real / 0 unknown / 0 assumptions / 8 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe