appappplus0yyappappplusappsxyappsappappplusxyappapptimes0y0appapptimesappsxyappappplusappapptimesxyyappappappcompfgxappfappgxapptwicefappappcompff2.1appplus0plusplus1plus2000s0ss1times0timestimes1times2comp0compcomp1comp2comp3twice0twicetwice1appplusy1plus1y1appplus1x0y1plus2x0y1appsy1s1y1apptimesy1times1y1apptimes1x0y1times2x0y1appcompy1comp1y1appcomp1x0y1comp2x0y1appcomp2x0x1y1comp3x0x1y1apptwicey1twice1y1plus20yyplus2s1xys1plus2xytimes20y0times2s1xyplus2times2xyycomp3fgxappfappgxtwice1fcomp2ffappplusy1plus1y1appplus1x0y1plus2x0y1appsy1s1y1apptimesy1times1y1apptimes1x0y1times2x0y1appcompy1comp1y1appcomp1x0y1comp2x0y1appcomp2x0x1y1comp3x0x1y1apptwicey1twice1y110plus2s1xyplus2xytimes2s1xyplus2times2xyytimes2s1xytimes2xycomp3fgxappfappgxcomp3fgxappgxappplus1x0y1plus2x0y1apptimes1x0y1times2x0y1appcomp2x0x1y1comp3x0x1y1apptwicey1twice1y1trueappcomp2x0x1y1comp3x0x1y1comp3fgxappfappgxcomp3fgxappgxtrueappcomp2x0x1y1comp3x0x1y11true11true22false3comp3fgxappfappgx1false1comp3fgxappgx2false13false2apptimes1x0y1times2x0y1falsetimes2s1xytimes2xytruetimes2s1xytimes2xy1true12false2times2s1xyplus2times2xyyfalseappplus1x0y1plus2x0y1falseplus2s1xyplus2xytrueplus2s1xyplus2xy1true12false2apptwicey1twice1y1falseAProVEAProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Statistics for single proof: 100.00 % (11 real / 0 unknown / 0 assumptions / 11 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe