YES minusxx0minusxycondequalminxyyxycondtruexysminusxsymin0v0minu00minsusvsminuvequal00trueequalsx0falseequal0syfalseequalsxsyequalxy2.1minusxycondequalminxyyxyminusxyequalminxyyminusxyminxycondtruexyminusxsyminsusvminuvequalsxsyequalxytruecondtruexyminusxsyminusxycondequalminxyyxytruemin0v0minu00minsusvsminuvequal00trueequalsx0falseequal0syfalseequalsxsyequalxymin0x0minx00minsx0sx1equal00equalsx00equal0sx0equalsx0sx11c0-1minus211-12cond31112-13-1true01s1111equal21min20000false00condtruexyminusxsycondtruexyminusxsyc10condequalminx2x3x3x2x3condtruex4x5condtruex4x5cminusx2x3condequalminx2x3x3x2x3condtruex4x5minusx4sx5condequalminx2x3x3x2x3condtruex4x5equalminx2x3x3truex2x4x3x5condtruex4x5cx4x2equalminx2x3x3truex3x5condtruex2x5cx5x3equalminx2x3x3truecondtruex2x3cequalminx2x3x3true1x12minx2x3x12equalx12x3truecondtruex2x3cequalx12x3trueminx2x3x12equal00truetruetrueminx200condtruex20ctruetrueminx200condtruex20cminx2002x180x18minx2x180condtruex20cminx2x1800x18min0x190000x19condtrue00c000x19condtrue00ccondtrue00cminx200000condtruex200c00condtruex200cminsx22sx21sminx22x21sminx22x210condtruesx220csminx22x210equalsx130falsefalsetruecondtruex20cfalsetrueequal0sx14falsefalsetruecondtruex2sx14cfalsetrueequalsx16sx15equalx16x15equalx16x15x2equalx16x15trueminx2sx15sx16x17equalx16x15trueminx17x15x16condtruex17x15ccondtruex2sx15cminx2sx15sx162x23equalx16x15truesx15x23minx2x23sx16x17equalx16x15trueminx17x15x16condtruex17x15ccondtruex2sx15cminx2x23sx16equalx16x15truesx15x23x17equalx16x15trueminx17x15x16condtruex17x15cmin0x2400sx16condtrue0sx15c0sx16minx25000sx16condtruex25sx15c0sx16minsx27sx26sminx27x26minx27x26x16x15x17sminx27x26sx16equalx16x15truesx15sx26x17equalx16x15trueminx17x15x16condtruex17x15cx28x29x30minx27x26sx28equalx28x29truesx29x26x30equalx28x29trueminx30x29x28condtruex30x29ccondtruex27sx29ccondtruesx27sx15csminx27x26sx16minx27x26x16equalx16x15truesx15sx26x17equalx16x15trueminx17x15x16condtruex17x15cx28x29x30minx27x26sx28equalx28x29truesx29x26x30equalx28x29trueminx30x29x28condtruex30x29ccondtruex27sx29ccondtruesx27sx15csx15sx26minx27x26x16equalx16x15truex15x26x17equalx16x15trueminx17x15x16condtruex17x15cx28x29x30minx27x26sx28equalx28x29truesx29x26x30equalx28x29trueminx30x29x28condtruex30x29ccondtruex27sx29ccondtruesx27sx15cminx27x26x16equalx16x15truex15x26condtruesx27sx15cequalx16x15trueminx27x26x16x15x26equal00truetruetrueminx27x2600x26condtruesx27s0ctruetrueminx27x2600x26condtruesx27s0cminx27x2600x26min0x370000x37condtrues0s0c000x37condtrues0s0ccondtrues0s0cminx380000condtruesx38s0c00condtruesx38s0cminsx40sx39sminx40x39sminx40x390condtruessx40s0csminx40x390equalsx310falsefalsetruecondtruesx27s0cfalsetrueequal0sx32falsefalsetruecondtruesx27ssx32cfalsetrueequalsx34sx33equalx34x33equalx34x33x27x26equalx34x33trueminx27x26sx34sx33x26x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33ccondtruesx27ssx33cminx27x26sx34equalx34x33truesx33x26x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33cmin0x4100sx34condtrues0ssx33c0sx34minx42000sx34condtruesx42ssx33c0sx34minsx44sx43sminx44x43minx44x43x34x33x35x36sminx44x43sx34equalx34x33truesx33sx43x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33cx45x46x47x48minx44x43sx45equalx45x46truesx46x43x47x48equalx45x46trueminx47x48x45x46x48condtruesx47sx46ccondtruesx44ssx46ccondtruessx44ssx33csminx44x43sx34minx44x43x34equalx34x33truesx33sx43x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33cx45x46x47x48minx44x43sx45equalx45x46truesx46x43x47x48equalx45x46trueminx47x48x45x46x48condtruesx47sx46ccondtruesx44ssx46ccondtruessx44ssx33csx33sx43minx44x43x34equalx34x33truex33x43x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33cx45x46x47x48minx44x43sx45equalx45x46truesx46x43x47x48equalx45x46trueminx47x48x45x46x48condtruesx47sx46ccondtruesx44ssx46ccondtruessx44ssx33cx35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33cx35x44x36x43condtruesx44sx33cx45x46x47x48minx44x43sx45equalx45x46truesx46x43x47x48equalx45x46trueminx47x48x45x46x48condtruesx47sx46ccondtruesx44ssx46ccondtruessx44ssx33ccondtruesx44sx33ccondtruessx44ssx33ccondequalminx2x3x3x2x3condtruex4x5condtruex4x5minusx4sx5minusx2x3condequalminx2x3x3x2x3condtruex4x5minusx4sx5condequalminx2x3x3x2x3condtruex4x5equalminx2x3x3truex2x4x3x5condtruex4x5minusx4sx5x4x2equalminx2x3x3truex3x5condtruex2x5minusx2sx5x5x3equalminx2x3x3truecondtruex2x3minusx2sx3equalminx2x3x3true1x12minx2x3x12equalx12x3truecondtruex2x3minusx2sx3equalx12x3trueminx2x3x12equal00truetruetrueminx200condtruex20minusx2s0truetrueminx200condtruex20minusx2s0minx2002x180x18minx2x180condtruex20minusx2s0minx2x1800x18min0x190000x19condtrue00minus0s0000x19condtrue00minus0s0condtrue00minus0s0minx200000condtruex200minusx20s000condtruex200minusx20s0minsx22sx21sminx22x21sminx22x210condtruesx220minussx22s0sminx22x210equalsx130falsefalsetruecondtruex20minusx2s0falsetrueequal0sx14falsefalsetruecondtruex2sx14minusx2ssx14falsetrueequalsx16sx15equalx16x15equalx16x15x2equalx16x15trueminx2sx15sx16x17equalx16x15trueminx17x15x16condtruex17x15minusx17sx15condtruex2sx15minusx2ssx15minx2sx15sx162x23equalx16x15truesx15x23minx2x23sx16x17equalx16x15trueminx17x15x16condtruex17x15minusx17sx15condtruex2sx15minusx2ssx15minx2x23sx16equalx16x15truesx15x23x17equalx16x15trueminx17x15x16condtruex17x15minusx17sx15min0x2400sx16condtrue0sx15minus0ssx150sx16minx25000sx16condtruex25sx15minusx25ssx150sx16minsx27sx26sminx27x26minx27x26x16x15x17sminx27x26sx16equalx16x15truesx15sx26x17equalx16x15trueminx17x15x16condtruex17x15minusx17sx15x28x29x30minx27x26sx28equalx28x29truesx29x26x30equalx28x29trueminx30x29x28condtruex30x29minusx30sx29condtruex27sx29minusx27ssx29condtruesx27sx15minussx27ssx15sminx27x26sx16minx27x26x16equalx16x15truesx15sx26x17equalx16x15trueminx17x15x16condtruex17x15minusx17sx15x28x29x30minx27x26sx28equalx28x29truesx29x26x30equalx28x29trueminx30x29x28condtruex30x29minusx30sx29condtruex27sx29minusx27ssx29condtruesx27sx15minussx27ssx15sx15sx26minx27x26x16equalx16x15truex15x26x17equalx16x15trueminx17x15x16condtruex17x15minusx17sx15x28x29x30minx27x26sx28equalx28x29truesx29x26x30equalx28x29trueminx30x29x28condtruex30x29minusx30sx29condtruex27sx29minusx27ssx29condtruesx27sx15minussx27ssx15minx27x26x16equalx16x15truex15x26condtruesx27sx15minussx27ssx15equalx16x15trueminx27x26x16x15x26equal00truetruetrueminx27x2600x26condtruesx27s0minussx27ss0truetrueminx27x2600x26condtruesx27s0minussx27ss0minx27x2600x26min0x370000x37condtrues0s0minuss0ss0000x37condtrues0s0minuss0ss0condtrues0s0minuss0ss0minx380000condtruesx38s0minussx38ss000condtruesx38s0minussx38ss0minsx40sx39sminx40x39sminx40x390condtruessx40s0minusssx40ss0sminx40x390equalsx310falsefalsetruecondtruesx27s0minussx27ss0falsetrueequal0sx32falsefalsetruecondtruesx27ssx32minussx27sssx32falsetrueequalsx34sx33equalx34x33equalx34x33x27x26equalx34x33trueminx27x26sx34sx33x26x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33minussx35ssx33condtruesx27ssx33minussx27sssx33minx27x26sx34equalx34x33truesx33x26x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33minussx35ssx33min0x4100sx34condtrues0ssx33minuss0sssx330sx34minx42000sx34condtruesx42ssx33minussx42sssx330sx34minsx44sx43sminx44x43minx44x43x34x33x35x36sminx44x43sx34equalx34x33truesx33sx43x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33minussx35ssx33x45x46x47x48minx44x43sx45equalx45x46truesx46x43x47x48equalx45x46trueminx47x48x45x46x48condtruesx47sx46minussx47ssx46condtruesx44ssx46minussx44sssx46condtruessx44ssx33minusssx44sssx33sminx44x43sx34minx44x43x34equalx34x33truesx33sx43x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33minussx35ssx33x45x46x47x48minx44x43sx45equalx45x46truesx46x43x47x48equalx45x46trueminx47x48x45x46x48condtruesx47sx46minussx47ssx46condtruesx44ssx46minussx44sssx46condtruessx44ssx33minusssx44sssx33sx33sx43minx44x43x34equalx34x33truex33x43x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33minussx35ssx33x45x46x47x48minx44x43sx45equalx45x46truesx46x43x47x48equalx45x46trueminx47x48x45x46x48condtruesx47sx46minussx47ssx46condtruesx44ssx46minussx44sssx46condtruessx44ssx33minusssx44sssx33x35x36equalx34x33trueminx35x36x34x33x36condtruesx35sx33minussx35ssx33x35x44x36x43condtruesx44sx33minussx44ssx33x45x46x47x48minx44x43sx45equalx45x46truesx46x43x47x48equalx45x46trueminx47x48x45x46x48condtruesx47sx46minussx47ssx46condtruesx44ssx46minussx44sssx46condtruessx44ssx33minusssx44sssx33condtruesx44sx33minussx44ssx33condtruessx44ssx33minusssx44sssx33minusx6sx7minusx8x9minusx8x9condequalminx8x9x9x8x9condtruex6x7minusx6sx7minusx8x9condequalminx8x9x9x8x9minusx6sx7minusx8x9x6x8sx7x9minusx8x9condequalminx8x9x9x8x9x8x6sx7x9minusx6x9condequalminx6x9x9x6x9x9sx7minusx6sx7condequalminx6sx7sx7x6sx7minusxycondequalminxyyxy1false22false3minusxyminxyfalseminusxyequalminxyyfalseminsusvminuvtrueminsusvminuv1true12true2equalsxsyequalxytrueequalsxsyequalxy1true12true2AProVEAProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Statistics for single proof: 100.00 % (12 real / 0 unknown / 0 assumptions / 12 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe