appappandtruetruetrueappappandtruefalsefalseappappandfalsetruefalseappappandfalsefalsefalseappapportruetruetrueappapportruefalsetrueappapporfalsetruetrueappapporfalsefalsefalseappappforallpniltrueappappforallpappappconsxxsappappandapppxappappforallpxsappappforsomepnilfalseappappforsomepappappconsxxsappapporapppxappappforsomepxs2.1appand0andand1and2true0truefalse0falseor0oror1or2forall0forallforall1forall2nil0nilcons0conscons1cons2forsome0forsomeforsome1forsome2appandy1and1y1appand1x0y1and2x0y1appory1or1y1appor1x0y1or2x0y1appforally1forall1y1appforall1x0y1forall2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appforsomey1forsome1y1appforsome1x0y1forsome2x0y1and2truetruetrueand2truefalsefalseand2falsetruefalseand2falsefalsefalseor2truetruetrueor2truefalsetrueor2falsetruetrueor2falsefalsefalseforall2pniltrueforall2pcons2xxsand2apppxforall2pxsforsome2pnilfalseforsome2pcons2xxsor2apppxforsome2pxsappandy1and1y1appand1x0y1and2x0y1appory1or1y1appor1x0y1or2x0y1appforally1forall1y1appforall1x0y1forall2x0y1appconsy1cons1y1appcons1x0y1cons2x0y1appforsomey1forsome1y1appforsome1x0y1forsome2x0y1and221true02false01or222forall224nil05cons220app24forsome224and06and114or07or110forall08forall114cons03cons113forsome09forsome114and2212true0false0or2212forall2212nil0cons2221app212forsome2212and0and111or0or111forall0forall111cons0cons111forsome0forsome111AProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (3 real / 0 unknown / 0 assumptions / 3 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe