appnotappnotxxappnotappapporxyappappandappnotxappnotyappnotappappandxyappapporappnotxappnotyappappandxappapporyzappapporappappandxyappappandxzappappandappapporyzxappapporappappandxyappappandxzappappmapfnilnilappappmapfappappconsxxsappappconsappfxappappmapfxsappappfilterfnilnilappappfilterfappappconsxxsappappappappfilter2appfxfxxsappappappappfilter2truefxxsappappconsxappappfilterfxsappappappappfilter2falsefxxsappappfilterfxs2.1appnot0notnot1or0oror1or2and0andand1and2map0mapmap1map2nil0nilcons0conscons1cons2filter0filterfilter1filter3filter20filter2filter21filter22filter23filter24true0truefalse0falseappnoty1not1y1appory1or1y1appor1x0y1or2x0y1appandy1and1y1appand1x0y1and2x0y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1not1not1xxnot1or2xyand2not1xnot1ynot1and2xyor2not1xnot1yand2xor2yzor2and2xyand2xzand2or2yzxor2and2xyand2xzmap2fnilnilmap2fcons2xxscons2appfxmap2fxsfilter3fnilnilfilter3fcons2xxsfilter24appfxfxxsfilter24truefxxscons2xfilter3fxsfilter24falsefxxsfilter3fxsappnoty1not1y1appory1or1y1appor1x0y1or2x0y1appandy1and1y1appand1x0y1and2x0y1appmapy1map1y1appmap1x0y1map2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appfiltery1filter1y1appfilter1x0y1filter3x0y1appfilter2y1filter21y1appfilter21x0y1filter22x0y1appfilter22x0x1y1filter23x0x1y1appfilter23x0x1x2y1filter24x0x1x2y1not113or221and222map228nil09cons224app28filter328filter2448true010false011not012or013and014map015cons05cons115filter016filter116filter2017filter2117filter2227filter2330not111or2212and2212map2212nil0cons2212app212filter3212filter2442431true0false0not0or0or111and0and111map0map111cons0cons111filter0filter111filter20filter2111filter22212filter233231appmap1x0y1map2x0y11app221122map11121map222122AProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (4 real / 0 unknown / 0 assumptions / 4 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe