a=agcdV0V1agcdV0a-V1V0F
empty_shape
a<=V3V3Aa<c0V3Aa<=V2V2Aa<c0V2Ia<c0V3Aa<c0V2F
loop invariant init
tIa<=V3V3Aa<c0V3Aa<=V2V2Aa<c0V2Ia<c0V3Aa<c0V2F
a<=V4V3Aa<c0V4Aa<=V7V2Aa<c0V7Ia=V7a-V5V4FIa>V5V4Ia=V6aTrueFINa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FIa<c0V3Aa<c0V2F
loop invariant preservation
a=agcdV7V4agcdV2V3Ia<=V4V3Aa<c0V4Aa<=V7V2Aa<c0V7Ia=V7a-V5V4FIa>V5V4Ia=V6aTrueFINa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FIa<c0V3Aa<c0V2F
a<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5INa>V5V4Ia=V6aTrueFINa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FIa<c0V3Aa<c0V2F
a=agcdV5V4agcdV2V3Ia<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5INa>V5V4Ia=V6aTrueFINa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FIa<c0V3Aa<c0V2F
a<=V7V3Aa<c0V7Aa<=V5V2Aa<c0V5Ia=V7a-V4V5FIa>V4V5INa=V6aTrueFINa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FIa<c0V3Aa<c0V2F
a=agcdV5V7agcdV2V3Ia<=V7V3Aa<c0V7Aa<=V5V2Aa<c0V5Ia=V7a-V4V5FIa>V4V5INa=V6aTrueFINa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FIa<c0V3Aa<c0V2F
a<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5INa>V4V5INa=V6aTrueFINa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FIa<c0V3Aa<c0V2F
a=agcdV5V4agcdV2V3Ia<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5INa>V4V5INa=V6aTrueFINa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FIa<c0V3Aa<c0V2F
a=V5agcdV2V3INNa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FIa<c0V3Aa<c0V2F
postcondition
ia=V5agcdV2V3iia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5a=agcdV5V7agcdV2V3Aa<=V7V3Aa<c0V7Aa<=V5V2Aa<c0V5Ia=V7a-V4V5Fa>V4V5ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5a=agcdV8V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V8V2Aa<c0V8Ia=V8a-V5V4Fa>V5V4a=V6aTrueFNa=V5V4Ia=agcdV5V4agcdV2V3Aa<=V4V3Aa<c0V4Aa<=V5V2Aa<c0V5FAtAa<=V3V3Aa<c0V3Aa<=V2V2Aa<c0V2Ia<c0V3Aa<c0V2F
VC for parallel_gcd
ainvV7V3V4V5Ia=astateV7aReadBAa=alocal_bV7alocal_bV6Aa=alocal_aV7alocal_aV6FIa=astateV6astateV2Aa=alocal_bV6alocal_bV2Aa=alocal_aV6V4FIa=astateV2aReadAIainvV2V3V4V5F
a<=V4V4Aa<c0V4IainvV7V3V4V5Ia=astateV7aReadBAa=alocal_bV7alocal_bV6Aa=alocal_aV7alocal_aV6FIa=astateV6astateV2Aa=alocal_bV6alocal_bV2Aa=alocal_aV6V4FIa=astateV2aReadAIainvV2V3V4V5F
a>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV7V3V4V5Ia=astateV7aReadBAa=alocal_bV7alocal_bV6Aa=alocal_aV7alocal_aV6FIa=astateV6astateV2Aa=alocal_bV6alocal_bV2Aa=alocal_aV6V4FIa=astateV2aReadAIainvV2V3V4V5F
a<V4V4Oa>aprog_indexV2V5aprog_indexV7V5Iaprogress_threadV7V4V5Ia>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV7V3V4V5Ia=astateV7aReadBAa=alocal_bV7alocal_bV6Aa=alocal_aV7alocal_aV6FIa=astateV6astateV2Aa=alocal_bV6alocal_bV2Aa=alocal_aV6V4FIa=astateV2aReadAIainvV2V3V4V5F
ainvV7V3V4V5Ia=astateV7aCompareAa=alocal_bV7alocal_bV6Aa=alocal_aV7alocal_aV6FIa=astateV6astateV2Aa=alocal_bV6V5Aa=alocal_aV6alocal_aV2FIa=astateV2aReadBIainvV2V3V4V5F
a<=V4V4Aa<c0V4IainvV7V3V4V5Ia=astateV7aCompareAa=alocal_bV7alocal_bV6Aa=alocal_aV7alocal_aV6FIa=astateV6astateV2Aa=alocal_bV6V5Aa=alocal_aV6alocal_aV2FIa=astateV2aReadBIainvV2V3V4V5F
a>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV7V3V4V5Ia=astateV7aCompareAa=alocal_bV7alocal_bV6Aa=alocal_aV7alocal_aV6FIa=astateV6astateV2Aa=alocal_bV6V5Aa=alocal_aV6alocal_aV2FIa=astateV2aReadBIainvV2V3V4V5F
a<V4V4Oa>aprog_indexV2V5aprog_indexV7V5Iaprogress_threadV7V4V5Ia>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV7V3V4V5Ia=astateV7aCompareAa=alocal_bV7alocal_bV6Aa=alocal_aV7alocal_aV6FIa=astateV6astateV2Aa=alocal_bV6V5Aa=alocal_aV6alocal_aV2FIa=astateV2aReadBIainvV2V3V4V5F
ainvV6V3V4V5Ia=astateV6aHaltAa=alocal_bV6alocal_bV2Aa=alocal_aV6alocal_aV2FIa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
a<=V4V4Aa<c0V4IainvV6V3V4V5Ia=astateV6aHaltAa=alocal_bV6alocal_bV2Aa=alocal_aV6alocal_aV2FIa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
a>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV6V3V4V5Ia=astateV6aHaltAa=alocal_bV6alocal_bV2Aa=alocal_aV6alocal_aV2FIa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
a<V4V4Oa>aprog_indexV2V5aprog_indexV6V5Iaprogress_threadV6V4V5Ia>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV6V3V4V5Ia=astateV6aHaltAa=alocal_bV6alocal_bV2Aa=alocal_aV6alocal_aV2FIa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
ainvV7V3V6V5Ia=astateV7aReadAAa=alocal_bV7alocal_bV2Aa=alocal_aV7alocal_aV2FIa=V6a-alocal_aV2alocal_bV2FIa>alocal_aV2alocal_bV2INa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
a<=V6V4Aa<c0V6IainvV7V3V6V5Ia=astateV7aReadAAa=alocal_bV7alocal_bV2Aa=alocal_aV7alocal_aV2FIa=V6a-alocal_aV2alocal_bV2FIa>alocal_aV2alocal_bV2INa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
a>=V4a+V6V5Ia>V4V6Ia<=V6V4Aa<c0V6IainvV7V3V6V5Ia=astateV7aReadAAa=alocal_bV7alocal_bV2Aa=alocal_aV7alocal_aV2FIa=V6a-alocal_aV2alocal_bV2FIa>alocal_aV2alocal_bV2INa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
a<V6V4Oa>aprog_indexV2V5aprog_indexV7V5Iaprogress_threadV7V6V5Ia>=V4a+V6V5Ia>V4V6Ia<=V6V4Aa<c0V6IainvV7V3V6V5Ia=astateV7aReadAAa=alocal_bV7alocal_bV2Aa=alocal_aV7alocal_aV2FIa=V6a-alocal_aV2alocal_bV2FIa>alocal_aV2alocal_bV2INa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
ainvV6V3V4V5Ia=astateV6aReadAAa=alocal_bV6alocal_bV2Aa=alocal_aV6alocal_aV2FINa>alocal_aV2alocal_bV2INa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
a<=V4V4Aa<c0V4IainvV6V3V4V5Ia=astateV6aReadAAa=alocal_bV6alocal_bV2Aa=alocal_aV6alocal_aV2FINa>alocal_aV2alocal_bV2INa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
a>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV6V3V4V5Ia=astateV6aReadAAa=alocal_bV6alocal_bV2Aa=alocal_aV6alocal_aV2FINa>alocal_aV2alocal_bV2INa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
a<V4V4Oa>aprog_indexV2V5aprog_indexV6V5Iaprogress_threadV6V4V5Ia>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV6V3V4V5Ia=astateV6aReadAAa=alocal_bV6alocal_bV2Aa=alocal_aV6alocal_aV2FINa>alocal_aV2alocal_bV2INa=alocal_aV2alocal_bV2Ia=astateV2aCompareIainvV2V3V4V5F
ainvV2V3V4V5Ia=astateV2aHaltIainvV2V3V4V5F
a<=V4V4Aa<c0V4IainvV2V3V4V5Ia=astateV2aHaltIainvV2V3V4V5F
a>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV2V3V4V5Ia=astateV2aHaltIainvV2V3V4V5F
a<V4V4Oa>aprog_indexV2V5aprog_indexV2V5Iaprogress_threadV2V4V5Ia>=V4a+V4V5Ia>V4V4Ia<=V4V4Aa<c0V4IainvV2V3V4V5Ia=astateV2aHaltIainvV2V3V4V5F
Ca<V4V4Oa>aprog_indexV2V5aprog_indexV7V5Iaprogress_threadV7V4V5Aa>=V4a+V4V5Ia>V4V4Aa<=V4V4Aa<c0V4AainvV7V3V4V5Ia=astateV7aReadBAa=alocal_bV7alocal_bV6Aa=alocal_aV7alocal_aV6FIa=astateV6astateV2Aa=alocal_bV6alocal_bV2Aa=alocal_aV6V4FaReadAa<V4V4Oa>aprog_indexV2V5aprog_indexV9V5Iaprogress_threadV9V4V5Aa>=V4a+V4V5Ia>V4V4Aa<=V4V4Aa<c0V4AainvV9V3V4V5Ia=astateV9aCompareAa=alocal_bV9alocal_bV8Aa=alocal_aV9alocal_aV8FIa=astateV8astateV2Aa=alocal_bV8V5Aa=alocal_aV8alocal_aV2FaReadBiia<V4V4Oa>aprog_indexV2V5aprog_indexV10V5Iaprogress_threadV10V4V5Aa>=V4a+V4V5Ia>V4V4Aa<=V4V4Aa<c0V4AainvV10V3V4V5Ia=astateV10aReadAAa=alocal_bV10alocal_bV2Aa=alocal_aV10alocal_aV2Fa<V11V4Oa>aprog_indexV2V5aprog_indexV12V5Iaprogress_threadV12V11V5Aa>=V4a+V11V5Ia>V4V11Aa<=V11V4Aa<c0V11AainvV12V3V11V5Ia=astateV12aReadAAa=alocal_bV12alocal_bV2Aa=alocal_aV12alocal_aV2FIa=V11a-alocal_aV2alocal_bV2Fa>alocal_aV2alocal_bV2a<V4V4Oa>aprog_indexV2V5aprog_indexV13V5Iaprogress_threadV13V4V5Aa>=V4a+V4V5Ia>V4V4Aa<=V4V4Aa<c0V4AainvV13V3V4V5Ia=astateV13aHalt
VC for step
Na=V2aHaltqa=V3aTrueICa=V3aFalseaHalta=V3aTruewV2FF
VC for can_progress
ainvV6V4V3V2AainvV5V4V2V3Ia=astateV6aReadAFIa=astateV5aReadAFLagcdV2V3Ia<c0V3Aa<c0V2F
ainvV8V4V10V9Ia=V15aTrueIa=V15V14Aa<V13V11Aa<=c0V13Ia=V14V12FFINa=astateV7aHaltIa=astateV8aHaltIainvV7V4V9V10AainvV8V4V10V9FIa=astateV6aReadAFIa=astateV5aReadAFLagcdV2V3Ia<c0V3Aa<c0V2F
precondition
a=agcdV0V1agcdV0a+V1a-V0F
a<V13V11Aa=c0V11Oa<c0V11Aa=iic0ic1c0a=V12aTrueNa=astateV7aHaltAa=V9V10Oa<V10V9ic0c1a=V12aTrueNa=astateV8aHaltAa=V10V9Oa<V9V10iic0ic1c0a=V14aTrueNa=astateV7aHaltAa=V9V17Oa<V17V9ic0c1a=V14aTrueNa=astateV16aHaltAa=V17V9Oa<V9V17Oa<iic0ic1c0a=V14aTrueNa=astateV7aHaltAa=V9V17Oa<V17V9ic0c1a=V14aTrueNa=astateV16aHaltAa=V17V9Oa<V9V17iic0ic1c0a=V12aTrueNa=astateV7aHaltAa=V9V10Oa<V10V9ic0c1a=V12aTrueNa=astateV8aHaltAa=V10V9Oa<V9V10Aa=c0iic0ic1c0a=V12aTrueNa=astateV7aHaltAa=V9V10Oa<V10V9ic0c1a=V12aTrueNa=astateV8aHaltAa=V10V9Oa<V9V10Oa<c0iic0ic1c0a=V12aTrueNa=astateV7aHaltAa=V9V10Oa<V10V9ic0c1a=V12aTrueNa=astateV8aHaltAa=V10V9Oa<V9V10Aa=iia+ic42c0Ca=alocal_bV8V9aComparetwastateV8Cc7aReadAc5aReadBc3aComparec2aHaltastateV8a+ic42c0Ca=alocal_bV7V10aComparetwastateV7Cc7aReadAc5aReadBc3aComparec2aHaltastateV7a<V10V9a+a+ic42c0Ca=alocal_bV7V10aComparetwastateV7Cc7aReadAc5aReadBc3aComparec2aHaltastateV7a+ic42c0Ca=alocal_bV8V9aComparetwastateV8Cc7aReadAc5aReadBc3aComparec2aHaltastateV8a=V10V9iia+ic42c0Ca=alocal_bV16V9aComparetwastate
loop variant decrease
a<V13V11Aa<=c0V11Aa=iic0ic1c0a=V12aTrueaprogress_threadV7V9V10ic0c1a=V12aTrueaprogress_threadV8V10V9iic0ic1c0a=V14aTrueaprogress_threadV7V9V17ic0c1a=V14aTrueaprogress_threadV16V17V9Oa<iic0ic1c0a=V14aTrueaprogress_threadV7V9V17ic0c1a=V14aTrueaprogress_threadV16V17V9iic0ic1c0a=V12aTrueaprogress_threadV7V9V10ic0c1a=V12aTrueaprogress_threadV8V10V9Aa<=c0iic0ic1c0a=V12aTrueaprogress_threadV7V9V10ic0c1a=V12aTrueaprogress_threadV8V10V9Aa=iiaprog_indexV8V9aprog_indexV7V10a<V10V9a+aprog_indexV7V10aprog_indexV8V9a=V10V9iiaprog_indexV16V9aprog_indexV7V17a<V17V9a+aprog_indexV7V17aprog_indexV16V9a=V17V9Oa<iiaprog_indexV16V9aprog_indexV7V17a<V17V9a+aprog_indexV7V17aprog_indexV16V9a=V17V9iiaprog_indexV8V9aprog_indexV7V10a<V10V9a+aprog_indexV7V10aprog_indexV8V9a=V10V9Aa<=c0iiaprog_indexV8V9aprog_indexV7V10a<V10V9a+aprog_indexV7V10aprog_indexV8V9a=V10V9Aa=a+V10V9a+V17V9Oa<a+V17V9a+V10V9Aa<=c0a+V10V9Ia<V17V10Oa>aprog_indexV8V9aprog_indexV16V9Iaprogress_threadV16V17V9Aa>=V10a+V17V9Ia>V10V17Aa<=V17V10Aa<c0V17AainvV16V4V17V9FIa=V15
ainvV7V4V9V17AainvV16V4V17V9Ia<V17V10Oa>aprog_indexV8V9aprog_indexV16V9Iaprogress_threadV16V17V9Aa>=V10a+V17V9Ia>V10V17Aa<=V17V10Aa<c0V17AainvV16V4V17V9FIa=V15aTrueIa=V15V14Aa<V13V11Aa<=c0V13Ia=V14V12FFINa=astateV7aHaltIa=astateV8aHaltIainvV7V4V9V10AainvV8V4V10V9FIa=astateV6aReadAFIa=astateV5aReadAFLagcdV2V3Ia<c0V3Aa<c0V2F
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