appappminusx0xappappminusappsxappsyappappminusxyappdouble00appdoubleappsxappsappsappdoublexappappplus0yyappappplusappsxyappsappappplusxyappappplusappsxyappappplusxappsyappappplusappsxyappsappappplusappappminusxyappdoubleyappappmapfnilnilappappmapfappappconsxxsappappconsappfxappappmapfxsappappfilterfnilnilappappfilterfappappconsxxsappappappappfilter2appfxfxxsappappappappfilter2truefxxsappappconsxappappfilterfxsappappappappfilter2falsefxxsappappfilterfxs2.1appminus0minusminus1minus2000s0ss1double0doubledouble1plus0plusplus1plus2map0mapmap1map2nil0nilcons0conscons1cons2filter0filterfilter1filter3filter20filter2filter21filter22filter23filter24true0truefalse0falseappminusy1minus1y1appminus1x0y1minus2x0y1appsy1s1y1appdoubley1double1y1appplusy1plus1y1appplus1x0y1plus2x0y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1minus2x0xminus2s1xs1yminus2xydouble100double1s1xs1s1double1xplus20yyplus2s1xys1plus2xyplus2s1xyplus2xs1yplus2s1xys1plus2minus2xydouble1ymap2fnilnilmap2fcons2xxscons2appfxmap2fxsfilter3fnilnilfilter3fcons2xxsfilter24appfxfxxsfilter24truefxxscons2xfilter3fxsfilter24falsefxxsfilter3fxsappminusy1minus1y1appminus1x0y1minus2x0y1appsy1s1y1appdoubley1double1y1appplusy1plus1y1appplus1x0y1plus2x0y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1minus2s1xs1yminus2xydouble1s1xdouble1xplus2s1xyplus2xyplus2s1xyplus2xs1yplus2s1xyplus2minus2xydouble1yplus2s1xyminus2xyplus2s1xydouble1ymap2fcons2xxsappfxmap2fcons2xxsmap2fxsfilter3fcons2xxsfilter24appfxfxxsfilter3fcons2xxsappfxfilter24truefxxsfilter3fxsfilter24falsefxxsfilter3fxsappminus1x0y1minus2x0y1appdoubley1double1y1appplus1x0y1plus2x0y1appmap1x0y1map2x0y1appfilter1x0y1filter3x0y1appfilter23x0x1x2y1filter24x0x1x2y1trueappmap1x0y1map2x0y1map2fcons2xxsappfxappfilter1x0y1filter3x0y1filter3fcons2xxsfilter24appfxfxxsfilter24truefxxsfilter3fxsfilter3fcons2xxsappfxappfilter23x0x1x2y1filter24x0x1x2y1filter24falsefxxsfilter3fxsmap2fcons2xxsmap2fxstruemap2fcons2xxsappfx1false12true2map2fcons2xxsmap2fxs1false12true2filter3fcons2xxsappfx1false12true2appmap1x0y1map2x0y11true12false2filter3fcons2xxsfilter24appfxfxxs1false22true32true4appfilter1x0y1filter3x0y11true12false2appfilter23x0x1x2y1filter24x0x1x2y11true11true21true32false4filter24truefxxsfilter3fxs2false14false2filter24falsefxxsfilter3fxs2false14false2appplus1x0y1plus2x0y1falseplus2s1xyplus2xs1yplus2s1xyplus2xyplus2s1xyplus2minus2xydouble1ytrue1s1111plus221s111minus221minus2x0xminus2s1xs1yminus2xyplus2s1xyminus2xyfalseappminus1x0y1minus2x0y1falseplus2s1xydouble1yfalseappdoubley1double1y1falseminus2s1xs1yminus2xytrue1s1111minus221112minus2s1xs1yminus2xyminus2s1xs1yminus2xy1true12true2double1s1xdouble1xtrue1s1111double1111double1s1xdouble1xdouble1s1xdouble1x1true1AProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (10 real / 0 unknown / 0 assumptions / 10 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe