activetermsNmarkconsrecipsqrNtermssNactivesqr0mark0activesqrsXmarksaddsqrXdblXactivedbl0mark0activedblsXmarkssdblXactiveadd0XmarkXactiveaddsXYmarksaddXYactivefirst0XmarknilactivefirstsXconsYZmarkconsYfirstXZactivehalf0mark0activehalfs0mark0activehalfssXmarkshalfXactivehalfdblXmarkXactivetermsXtermsactiveXactiveconsX1X2consactiveX1X2activerecipXrecipactiveXactivesqrXsqractiveXactivesXsactiveXactiveaddX1X2addactiveX1X2activeaddX1X2addX1activeX2activedblXdblactiveXactivefirstX1X2firstactiveX1X2activefirstX1X2firstX1activeX2activehalfXhalfactiveXtermsmarkXmarktermsXconsmarkX1X2markconsX1X2recipmarkXmarkrecipXsqrmarkXmarksqrXsmarkXmarksXaddmarkX1X2markaddX1X2addX1markX2markaddX1X2dblmarkXmarkdblXfirstmarkX1X2markfirstX1X2firstX1markX2markfirstX1X2halfmarkXmarkhalfXpropertermsXtermsproperXproperconsX1X2consproperX1properX2properrecipXrecipproperXpropersqrXsqrproperXpropersXsproperXproper0ok0properaddX1X2addproperX1properX2properdblXdblproperXproperfirstX1X2firstproperX1properX2properniloknilproperhalfXhalfproperXtermsokXoktermsXconsokX1okX2okconsX1X2recipokXokrecipXsqrokXoksqrXsokXoksXaddokX1okX2okaddX1X2dblokXokdblXfirstokX1okX2okfirstX1X2halfokXokhalfXtopmarkXtopproperXtopokXtopactiveX2.0activetermsNconsrecipsqrNtermssNactivetermsNrecipsqrNactivetermsNsqrNactivetermsNtermssNactivetermsNsNactivesqrsXsaddsqrXdblXactivesqrsXaddsqrXdblXactivesqrsXsqrXactivesqrsXdblXactivedblsXssdblXactivedblsXsdblXactivedblsXdblXactiveaddsXYsaddXYactiveaddsXYaddXYactivefirstsXconsYZconsYfirstXZactivefirstsXconsYZfirstXZactivehalfssXshalfXactivehalfssXhalfXactivetermsXtermsactiveXactivetermsXactiveXactiveconsX1X2consactiveX1X2activeconsX1X2activeX1activerecipXrecipactiveXactiverecipXactiveXactivesqrXsqractiveXactivesqrXactiveXactivesXsactiveXactivesXactiveXactiveaddX1X2addactiveX1X2activeaddX1X2activeX1activeaddX1X2addX1activeX2activeaddX1X2activeX2activedblXdblactiveXactivedblXactiveXactivefirstX1X2firstactiveX1X2activefirstX1X2activeX1activefirstX1X2firstX1activeX2activefirstX1X2activeX2activehalfXhalfactiveXactivehalfXactiveXtermsmarkXtermsXconsmarkX1X2consX1X2recipmarkXrecipXsqrmarkXsqrXsmarkXsXaddmarkX1X2addX1X2addX1markX2addX1X2dblmarkXdblXfirstmarkX1X2firstX1X2firstX1markX2firstX1X2halfmarkXhalfXpropertermsXtermsproperXpropertermsXproperXproperconsX1X2consproperX1properX2properconsX1X2properX1properconsX1X2properX2properrecipXrecipproperXproperrecipXproperXpropersqrXsqrproperXpropersqrXproperXpropersXsproperXpropersXproperXproperaddX1X2addproperX1properX2properaddX1X2properX1properaddX1X2properX2properdblXdblproperXproperdblXproperXproperfirstX1X2firstproperX1properX2properfirstX1X2properX1properfirstX1X2properX2properhalfXhalfproperXproperhalfXproperXtermsokXtermsXconsokX1okX2consX1X2recipokXrecipXsqrokXsqrXsokXsXaddokX1okX2addX1X2dblokXdblXfirstokX1okX2firstX1X2halfokXhalfXtopmarkXtopproperXtopmarkXproperXtopokXtopactiveXtopokXactiveXtruetopokXtopactiveXtopmarkXtopproperXtrue1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950511proper111terms121cons21112recip111sqr111s111000ok121add21112dbl111first21122nil00half121mark111active121top111topokXtopactiveXtopmarkXtopproperXpropertermsXtermsproperXproperconsX1X2consproperX1properX2properrecipXrecipproperXpropersqrXsqrproperXpropersXsproperXproper0ok0properaddX1X2addproperX1properX2properdblXdblproperXproperfirstX1X2firstproperX1properX2properniloknilproperhalfXhalfproperXhalfmarkXmarkhalfXhalfokXokhalfXfirstmarkX1X2markfirstX1X2firstX1markX2markfirstX1X2firstokX1okX2okfirstX1X2dblmarkXmarkdblXdblokXokdblXaddmarkX1X2markaddX1X2addX1markX2markaddX1X2addokX1okX2okaddX1X2smarkXmarksXsokXoksXsqrmarkXmarksqrXsqrokXoksqrXrecipmarkXmarkrecipXrecipokXokrecipXconsmarkX1X2markconsX1X2consokX1okX2okconsX1X2termsmarkXmarktermsXtermsokXoktermsXactivetermsNmarkconsrecipsqrNtermssNactivesqr0mark0activesqrsXmarksaddsqrXdblXactivedbl0mark0activedblsXmarkssdblXactiveadd0XmarkXactiveaddsXYmarksaddXYactivefirst0XmarknilactivefirstsXconsYZmarkconsYfirstXZactivehalf0mark0activehalfs0mark0activehalfssXmarkshalfXactivehalfdblXmarkXactivetermsXtermsactiveXactiveconsX1X2consactiveX1X2activerecipXrecipactiveXactivesqrXsqractiveXactivesXsactiveXactiveaddX1X2addactiveX1X2activeaddX1X2addX1activeX2activedblXdblactiveXactivefirstX1X2firstactiveX1X2activefirstX1X2firstX1activeX2activehalfXhalfactiveXpropertermsXtermsproperXproperconsX1X2consproperX1properX2properrecipXrecipproperXpropersqrXsqrproperXpropersXsproperXproper0ok0properaddX1X2addproperX1properX2properdblXdblproperXproperfirstX1X2firstproperX1properX2properniloknilproperhalfXhalfproperXhalfmarkXmarkhalfXhalfokXokhalfXfirstmarkX1X2markfirstX1X2firstX1markX2markfirstX1X2firstokX1okX2okfirstX1X2dblmarkXmarkdblXdblokXokdblXaddmarkX1X2markaddX1X2addX1markX2markaddX1X2addokX1okX2okaddX1X2smarkXmarksXsokXoksXsqrmarkXmarksqrXsqrokXoksqrXrecipmarkXmarkrecipXrecipokXokrecipXconsmarkX1X2markconsX1X2consokX1okX2okconsX1X2termsmarkXmarktermsXtermsokXoktermsXactivetermsNmarkconsrecipsqrNtermssNactivesqr0mark0activesqrsXmarksaddsqrXdblXactivedbl0mark0activedblsXmarkssdblXactiveadd0XmarkXactiveaddsXYmarksaddXYactivefirst0XmarknilactivefirstsXconsYZmarkconsYfirstXZactivehalf0mark0activehalfs0mark0activehalfssXmarkshalfXactivehalfdblXmarkXactivetermsXtermsactiveXactiveconsX1X2consactiveX1X2activerecipXrecipactiveXactivesqrXsqractiveXactivesXsactiveXactiveaddX1X2addactiveX1X2activeaddX1X2addX1activeX2activedblXdblactiveXactivefirstX1X2firstactiveX1X2activefirstX1X2firstX1activeX2activehalfXhalfactiveXtop10mark12terms18cons25sqr17s12001add26dbl17first24nil03half19top11ok11active11mark11proper11terms11cons21recip11sqr11s1100add221dbl11first221nil0half11topokXtopactiveX1top111ok1111active111terms111mark10cons21112recip111sqr1111s1111000add212dbl111first2111nil00half111activetermsNmarkconsrecipsqrNtermssNactivesqr0mark0activesqrsXmarksaddsqrXdblXactivedbl0mark0activedblsXmarkssdblXactiveadd0XmarkXactiveaddsXYmarksaddXYactivefirst0XmarknilactivefirstsXconsYZmarkconsYfirstXZactivehalf0mark0activehalfs0mark0activehalfssXmarkshalfXactivehalfdblXmarkXactivetermsXtermsactiveXactiveconsX1X2consactiveX1X2activerecipXrecipactiveXactivesqrXsqractiveXactivesXsactiveXactiveaddX1X2addactiveX1X2activeaddX1X2addX1activeX2activedblXdblactiveXactivefirstX1X2firstactiveX1X2activefirstX1X2firstX1activeX2activehalfXhalfactiveXconsmarkX1X2markconsX1X2consokX1okX2okconsX1X2termsmarkXmarktermsXtermsokXoktermsXrecipmarkXmarkrecipXrecipokXokrecipXsqrmarkXmarksqrXsqrokXoksqrXsmarkXmarksXsokXoksXaddmarkX1X2markaddX1X2addX1markX2markaddX1X2addokX1okX2okaddX1X2dblmarkXmarkdblXdblokXokdblXfirstmarkX1X2markfirstX1X2firstX1markX2markfirstX1X2firstokX1okX2okfirstX1X2halfmarkXmarkhalfXhalfokXokhalfXtopokXactiveXfalse245789111214151618192021222324262728293132333536373940424344454647484950activeconsX1X2activeX1activetermsXactiveXactiverecipXactiveXactivesqrXactiveXactivesXactiveXactiveaddX1X2activeX1activeaddX1X2activeX2activedblXactiveXactivefirstX1X2activeX1activefirstX1X2activeX2activehalfXactiveXtrue259121624293337404142434445464748491active111cons2111terms1111recip1111sqr1111s1111add211112dbl1111first211112half111activehalfXactiveX1active111half1111activetermsNconsrecipsqrNtermssNfalse2356791012131416171819202122242526272930313334353738404142434445464748activetermsNrecipsqrNfalse3710142227313538394041424344454647activetermsNsqrNfalse38activetermsNtermssNfalse37activetermsNsNfalse36activesqrsXsaddsqrXdblXfalse36activesqrsXaddsqrXdblXfalse35activesqrsXsqrXfalse34activesqrsXdblXfalse33activedblsXssdblXfalse33activedblsXsdblXfalse32activedblsXdblXfalse31activeaddsXYsaddXYfalse31activeaddsXYaddXYfalse30activefirstsXconsYZconsYfirstXZfalse29activefirstsXconsYZfirstXZfalse28activehalfssXshalfXfalse28activehalfssXhalfXfalse27activetermsXtermsactiveXfalse26activeconsX1X2consactiveX1X2false25activerecipXrecipactiveXfalse24activesqrXsqractiveXfalse23activesXsactiveXfalse22activeaddX1X2addactiveX1X2false21activeaddX1X2addX1activeX2false21activedblXdblactiveXfalse20activefirstX1X2firstactiveX1X2false19activefirstX1X2firstX1activeX2false18activehalfXhalfactiveXfalse17topmarkXproperXfalse17properconsX1X2properX1propertermsXproperXproperconsX1X2properX2properrecipXproperXpropersqrXproperXpropersXproperXproperaddX1X2properX1properaddX1X2properX2properdblXproperXproperfirstX1X2properX1properfirstX1X2properX2properhalfXproperXtrue161proper111cons211112terms1111recip1111sqr1111s1111add211112dbl1111first211112half111properhalfXproperX1proper121half121properhalfXproperX1proper111half1121propertermsXtermsproperXfalse15termsokXtermsXtermsmarkXtermsXtrue141terms121ok121mark121termsokXtermsXtermsmarkXtermsX1terms111ok1321mark1321properconsX1X2consproperX1properX2false14consokX1okX2consX1X2consmarkX1X2consX1X2true131cons212ok1111mark10consmarkX1X2consX1X21cons211mark1111properrecipXrecipproperXfalse12recipokXrecipXrecipmarkXrecipXtrue111recip121ok121mark121recipokXrecipXrecipmarkXrecipX1recip111ok1321mark1321propersqrXsqrproperXfalse11sqrokXsqrXsqrmarkXsqrXtrue101sqr121ok121mark121sqrokXsqrXsqrmarkXsqrX1sqr111ok1111mark1111propersXsproperXfalse9sokXsXsmarkXsXtrue1s121ok121mark121sokXsXsmarkXsX1s111ok1111mark1111properaddX1X2addproperX1properX2falseaddX1markX2addX1X2addmarkX1X2addX1X2addokX1okX2addX1X2true1add211mark1111ok1111addX1markX2addX1X21add21122mark121addX1markX2addX1X21add212mark1111properdblXdblproperXfalsedblokXdblXdblmarkXdblXtrue1dbl141ok1511mark1441properfirstX1X2firstproperX1properX2falsefirstX1markX2firstX1X2firstmarkX1X2firstX1X2firstokX1okX2firstX1X2true1first2-12122mark1221ok1221properhalfXhalfproperXfalsehalfokXhalfXhalfmarkXhalfXtrueok10half11ok11mark11halfmarkXhalfX1half121mark121halfmarkXhalfX1half111mark1111
AProVE
20cf63ea9f01bf40524adf2af9b95e39102e7dab rene 20110328 unpublished dirty
http://aprove.informatik.rwth-aachen.de/
John
Doe