apapmapfxsapapapifapisEmptyxsfxsapapapiftruefxsnilapapapiffalsefxsapapconsapfaplastxsapapmapfapdropLastxsapisEmptyniltrueapisEmptyapapconsxxsfalseaplastapapconsxnilxaplastapapconsxapapconsyysaplastapapconsyysapdropLastnilnilapdropLastapapconsxnilnilapdropLastapapconsxapapconsyysapapconsxapdropLastapapconsyys2.1apmap0mapmap1map2if0ifif1if2if3isEmpty0isEmptyisEmpty1true0truenil0nilfalse0falsecons0conscons1cons2last0lastlast1dropLast0dropLastdropLast1apmapy1map1y1apmap1x0y1map2x0y1apify1if1y1apif1x0y1if2x0y1apif2x0x1y1if3x0x1y1apisEmptyy1isEmpty1y1apconsy1cons1y1apcons1x0y1cons2x0y1aplasty1last1y1apdropLasty1dropLast1y1map2fxsif3isEmpty1xsfxsif3truefxsnilif3falsefxscons2apflast1xsmap2fdropLast1xsisEmpty1niltrueisEmpty1cons2xxsfalselast1cons2xnilxlast1cons2xcons2yyslast1cons2yysdropLast1nilnildropLast1cons2xnilnildropLast1cons2xcons2yyscons2xdropLast1cons2yysapmapy1map1y1apmap1x0y1map2x0y1apify1if1y1apif1x0y1if2x0y1apif2x0x1y1if3x0x1y1apisEmptyy1isEmpty1y1apconsy1cons1y1apcons1x0y1cons2x0y1aplasty1last1y1apdropLasty1dropLast1y110map2fxsif3isEmpty1xsfxsmap2fxsisEmpty1xsif3falsefxsapflast1xsif3falsefxslast1xsif3falsefxsmap2fdropLast1xsif3falsefxsdropLast1xslast1cons2xcons2yyslast1cons2yysdropLast1cons2xcons2yysdropLast1cons2yysapmap1x0y1map2x0y1apif2x0x1y1if3x0x1y1apisEmptyy1isEmpty1y1aplasty1last1y1apdropLasty1dropLast1y1trueif3falsefxsapflast1xsapmap1x0y1map2x0y1map2fxsif3isEmpty1xsfxsif3falsefxsmap2fdropLast1xsapif2x0x1y1if3x0x1y1truedropLast1nilnildropLast1cons2xnilnildropLast1cons2xcons2yyscons2xdropLast1cons2yysisEmpty1niltrueisEmpty1cons2xxsfalselast1cons2xnilxlast1cons2xcons2yyslast1cons2yysisEmpty1nilisEmpty1cons2x0x1last1cons2x0nillast1cons2x0cons2x1x2dropLast1nildropLast1cons2x0nildropLast1cons2x0cons2x1x21ap2-121last11-2cons222nil00if33-22122isEmpty112true02false02map22221dropLast111map1121if2222122map2fxsif3isEmpty1xsfxsif3falsefxsmap2fdropLast1xsisEmpty1niltrueisEmpty1cons2xxsfalsedropLast1nilnildropLast1cons2xnilnildropLast1cons2xcons2yyscons2xdropLast1cons2yysisEmpty1niltrueisEmpty1cons2xxsfalseisEmpty1nilisEmpty1cons2x0x1dropLast1nildropLast1cons2x0nildropLast1cons2x0cons2x1x2map2fxsif3isEmpty1xsfxs1map2y0nilif3truey0nilmap2y0cons2x0x1if3falsey0cons2x0x1map2y0cons2x0x1if3falsey0cons2x0x1if3falsefxsmap2fdropLast1xstruedropLast1nilnildropLast1cons2xnilnildropLast1cons2xcons2yyscons2xdropLast1cons2yysdropLast1nildropLast1cons2x0nildropLast1cons2x0cons2x1x21dropLast1111nil01cons221122map221112if33211213false00map2y0cons2x0x1if3falsey0cons2x0x1if3falsefxsmap2fdropLast1xsdropLast1nilnildropLast1cons2xcons2yyscons2xdropLast1cons2yys21map22001010110002cons22100000111002if3300101011010200103false000dropLast110001101nil011if3falsefxsmap2fdropLast1xsif3falsefxsmap2fdropLast1xs2false1map2y0nilif3truey0nilfalseif3falsefxslast1xsfalseaplasty1last1y1falseif3falsefxsdropLast1xsfalseapdropLasty1dropLast1y1falsemap2fxsisEmpty1xsfalselast1cons2xcons2yyslast1cons2yystruelast1cons2xcons2yyslast1cons2yys1true1dropLast1cons2xcons2yysdropLast1cons2yystruedropLast1cons2xcons2yysdropLast1cons2yys1true1apisEmptyy1isEmpty1y1falseAProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (22 real / 0 unknown / 0 assumptions / 22 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe