a<V3V2Aa<=c0V2La-V2c1Ia<V1a-V2c1Aa>V2c0Iasorted_subV0c0V2Aa<V1V2Aa<=c0V1F
variant decrease
a<V1V3Aa<=c0V1La-V2c1Ia<V1a-V2c1Aa>V2c0Iasorted_subV0c0V2Aa<V1V2Aa<=c0V1F
precondition
asorted_subV0c0V3Ia<V1V3Aa<=c0V1La-V2c1Ia<V1a-V2c1Aa>V2c0Iasorted_subV0c0V2Aa<V1V2Aa<=c0V1F
a=amin_bagaelementsV0V1V2a@V0V1Ia=amin_bagaelementsV0V1a-V2c1a@V0V1ONa<V1a-V2c1Aa>V2c0Iasorted_subV0c0V2Aa<V1V2Aa<=c0V1F
postcondition
a=amin_bagaelementsV0V1V2a@V0V1Ia=amin_bagaelementsV0V1a-V2c1a@V0V1ONa<V1a-V2c1Aa>V2c0Aasorted_subV0c0V3Aa<V1V3Aa<=c0V1Aa<V3V2Aa<=c0V2La-V2c1Ia<V1a-V2c1Aa>V2c0Iasorted_subV0c0V2Aa<V1V2Aa<=c0V1F
VC for min_of_sorted
a=amin_bagaelementsV0V1V2a@V0V1Iasorted_subV0c0V2Ia<V1V2Aa<=c0V1F
a<=c0V4LalengthV3Ia>=alengthV3c0F
a=amodelV5aelementsaeltsV3c0c0Aa=acardamodelV5c0Aa<=c0V4Aa<=c0c0Ia<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
loop invariant init
a<V8alengthV3Aa<=c0V8Ia=amodelV7aelementsaeltsV3c0V8Aa=acardamodelV7V8Aa<=V8V4Aa<=c0V8Aa<=V8V6Aa<=c0V8FFIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
index in array bounds
a<=c0a+V8c1Ia=amodelV9aaddaV3V8amodelV7FIa=amodelV7aelementsaeltsV3c0V8Aa=acardamodelV7V8Aa<=V8V4Aa<=c0V8Aa<=V8V6Aa<=c0V8FFIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
VC for heapSort
a<=a+V8c1V4Ia=amodelV9aaddaV3V8amodelV7FIa=amodelV7aelementsaeltsV3c0V8Aa=acardamodelV7V8Aa<=V8V4Aa<=c0V8Aa<=V8V6Aa<=c0V8FFIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a=acardamodelV9a+V8c1Ia=amodelV9aaddaV3V8amodelV7FIa=amodelV7aelementsaeltsV3c0V8Aa=acardamodelV7V8Aa<=V8V4Aa<=c0V8Aa<=V8V6Aa<=c0V8FFIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a=amodelV9aelementsaeltsV3c0a+V8c1Ia=amodelV9aaddaV3V8amodelV7FIa=amodelV7aelementsaeltsV3c0V8Aa=acardamodelV7V8Aa<=V8V4Aa<=c0V8Aa<=V8V6Aa<=c0V8FFIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a=amodelV9aelementsaeltsV3c0a+V8c1Aa=acardamodelV9a+V8c1Aa<=a+V8c1V4Aa<=c0a+V8c1Ia=amodelV9aaddaV3V8amodelV7FIa=amodelV7aelementsaeltsV3c0V8Aa=acardamodelV7V8Aa<=V8V4Aa<=c0V8Aa<=V8V6Aa<=c0V8FFIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
loop invariant preservation
a<=aV3V9amin_bagamodelV7Ia<V9c0Aa<=c0V9FAasorted_sub1V3c0c0Aa=aelementsaeltsV3c0V4aunionamodelV7aelementsaeltsV3c0c0Aa=acardamodelV7a-V4c0Aa<=c0V4Aa<=c0c0Ia<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
Na=amodelV9aempty_bagIa<=aV10V12amin_bagamodelV9Ia<V12V11Aa<=c0V12FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a<V11alengthV10Aa<=c0V11Ia=acardamodelV9a+acardamodelV12c1Aa=amodelV9aaddV13amodelV12Lamin_bagamodelV9FIa<=aV10V14amin_bagamodelV9Ia<V14V11Aa<=c0V14FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a<=aV14V11amin_bagamodelV12Ia=V14aV10V11V13Aa=aeltsV14asetaeltsV10V11V13Ia=alengthV14alengthV10FIa=acardamodelV9a+acardamodelV12c1Aa=amodelV9aaddV13amodelV12Lamin_bagamodelV9FIa<=aV10V15amin_bagamodelV9Ia<V15V11Aa<=c0V15FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
assertion
a<=c0a+V11c1Ia<=aV14V11amin_bagamodelV12Ia=V14aV10V11V13Aa=aeltsV14asetaeltsV10V11V13Ia=alengthV14alengthV10FIa=acardamodelV9a+acardamodelV12c1Aa=amodelV9aaddV13amodelV12Lamin_bagamodelV9FIa<=aV10V15amin_bagamodelV9Ia<V15V11Aa<=c0V15FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a<=a+V11c1V4Ia<=aV14V11amin_bagamodelV12Ia=V14aV10V11V13Aa=aeltsV14asetaeltsV10V11V13Ia=alengthV14alengthV10FIa=acardamodelV9a+acardamodelV12c1Aa=amodelV9aaddV13amodelV12Lamin_bagamodelV9FIa<=aV10V15amin_bagamodelV9Ia<V15V11Aa<=c0V15FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a=acardamodelV12a-V4a+V11c1Ia<=aV14V11amin_bagamodelV12Ia=V14aV10V11V13Aa=aeltsV14asetaeltsV10V11V13Ia=alengthV14alengthV10FIa=acardamodelV9a+acardamodelV12c1Aa=amodelV9aaddV13amodelV12Lamin_bagamodelV9FIa<=aV10V15amin_bagamodelV9Ia<V15V11Aa<=c0V15FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a=aelementsaeltsV3c0V4aunionamodelV12aelementsaeltsV14c0a+V11c1Ia<=aV14V11amin_bagamodelV12Ia=V14aV10V11V13Aa=aeltsV14asetaeltsV10V11V13Ia=alengthV14alengthV10FIa=acardamodelV9a+acardamodelV12c1Aa=amodelV9aaddV13amodelV12Lamin_bagamodelV9FIa<=aV10V15amin_bagamodelV9Ia<V15V11Aa<=c0V15FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
asorted_sub1V14c0a+V11c1Ia<=aV14V11amin_bagamodelV12Ia=V14aV10V11V13Aa=aeltsV14asetaeltsV10V11V13Ia=alengthV14alengthV10FIa=acardamodelV9a+acardamodelV12c1Aa=amodelV9aaddV13amodelV12Lamin_bagamodelV9FIa<=aV10V15amin_bagamodelV9Ia<V15V11Aa<=c0V15FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a<=aV14V15amin_bagamodelV12Ia<V15a+V11c1Aa<=c0V15FIa<=aV14V11amin_bagamodelV12Ia=V14aV10V11V13Aa=aeltsV14asetaeltsV10V11V13Ia=alengthV14alengthV10FIa=acardamodelV9a+acardamodelV12c1Aa=amodelV9aaddV13amodelV12Lamin_bagamodelV9FIa<=aV10V16amin_bagamodelV9Ia<V16V11Aa<=c0V16FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a<=aV14V15amin_bagamodelV12Ia<V15a+V11c1Aa<=c0V15FAasorted_sub1V14c0a+V11c1Aa=aelementsaeltsV3c0V4aunionamodelV12aelementsaeltsV14c0a+V11c1Aa=acardamodelV12a-V4a+V11c1Aa<=a+V11c1V4Aa<=c0a+V11c1Ia<=aV14V11amin_bagamodelV12Ia=V14aV10V11V13Aa=aeltsV14asetaeltsV10V11V13Ia=alengthV14alengthV10FIa=acardamodelV9a+acardamodelV12c1Aa=amodelV9aaddV13amodelV12Lamin_bagamodelV9FIa<=aV10V16amin_bagamodelV9Ia<V16V11Aa<=c0V16FAasorted_sub1V10c0V11Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0V11Aa=acardamodelV9a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V8Aa<=c0V11FIa=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
a=aelementsaeltsV10c0alengthV10aelementsaeltsV3c0alengthV10AasortedV10Ia<=aV10V11amin_bagamodelV9Ia<V11a+V8c1Aa<=c0V11FAasorted_sub1V10c0a+V8c1Aa=aelementsaeltsV3c0V4aunionamodelV9aelementsaeltsV10c0a+V8c1Aa=acardamodelV9a-V4a+V8c1Aa<=a+V8c1V4Aa<=c0a+V8c1Ia=alengthV10alengthV3FIa<=c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
tAasortedV3Ia>c0a+V8c1La-V4c1Ia=amodelV7aelementsaeltsV3c0a+V6c1Aa=acardamodelV7a+V6c1Aa<=a+V6c1V4Aa<=c0a+V6c1FIa<=c0a+V6c1La-V4c1Ia=amodelV5aempty_bagFLalengthV3Ia>=alengthV3c0F
tAasortedV3Ia>c0a+V7c1Aa=aelementsaeltsV9c0alengthV9aelementsaeltsV3c0alengthV9AasortedV9Ia<=aV9V10amin_bagamodelV8Ia<V10a+V7c1Aa<=c0V10FAasorted_sub1V9c0a+V7c1Aa=aelementsaeltsV3c0V4aunionamodelV8aelementsaeltsV9c0a+V7c1Aa=acardamodelV8a-V4a+V7c1Aa<=a+V7c1V4Aa<=c0a+V7c1Aa<=aV14V15amin_bagamodelV12Ia<V15a+V11c1Aa<=c0V15FAasorted_sub1V14c0a+V11c1Aa=aelementsaeltsV3c0V4aunionamodelV12aelementsaeltsV14c0a+V11c1Aa=acardamodelV12a-V4a+V11c1Aa<=a+V11c1V4Aa<=c0a+V11c1Aa<=aV14V11amin_bagamodelV12Ia=V14aV9V11V13Aa=aeltsV14asetaeltsV9V11V13Ia=alengthV14alengthV9FAa<V11alengthV9Aa<=c0V11Ia=acardamodelV8a+acardamodelV12c1Aa=amodelV8aaddV13amodelV12Lamin_bagamodelV8FANa=amodelV8aempty_bagIa<=aV9V16amin_bagamodelV8Ia<V16V11Aa<=c0V16FAasorted_sub1V9c0V11Aa=aelementsaeltsV3c0V4aunionamodelV8aelementsaeltsV9c0V11Aa=acardamodelV8a-V4V11Aa<=V11V4Aa<=c0V11Aa<=V11V7Aa<=c0V11FIa=alengthV9alengthV3FAa<=aV3V17amin_bagamodelV5Ia<V17c0Aa<=c0V17FAasorted_sub1V3c0c0Aa=aelementsaeltsV3c0V4aunionamodelV5aelementsaeltsV3c0c0Aa=acardamodelV
out of loop bounds
a<aparentV0V0Ia<c0V0F
empty_shape
a<V1aleftV1Ia<=c0V1F
a<V2arightV2Ia<=c0V2F
a=aparentarightV3V3Ia<=c0V3F
a=aparentaleftV4V4Ia<=c0V4F
a<=aparentV6V5Ia<=V6arightV5Aa<c0V6F
a=V7arightaparentV7Oa=V7aleftaparentV7Ia<c0V7F
a<=c0aparentV8Ia<c0V8F
a=acontentsacreateV9aconstV9F
a=aV10V11aacontentsV10V11F
a=acontentsaV12V13V14aacontentsV12V13V14F
ais_heap_arrayV15V16V17Ia<=V17V16Aa<=c0V17F
ais_heap_arrayV18V19V21Ia<=V21V20Aa<=V19V21FIais_heap_arrayV18V19V20F
ais_heap_arrayV22V24V23Ia<=V24V23Aa<=c0V24FIais_heap_arrayV22c0V23F
ais_heap_arrayaV25V29V27V28V26Ia<=V27aV25arightV29Ia<arightV29V26Ia<=V27aV25aleftV29Ia<aleftV29V26Ia<=aV25aparentV29V27Ia>V29c0Iais_heap_arrayV25V28V26Ia<V29V26Aa<=c0V29F
ais_heap_arrayaV30V31V32c0a+V31c1Ia>=V32aV30aparentV31Aais_heap_arrayV30c0V31Ia>V31c0F
a<=aV33aparentV35aV33V35Ia<V35V34Aa<c0V35FIais_heap_arrayV33c0V34F
a<=aV36V38aV36aleftV38Ia<aleftV38V37Ia<V38V37Aa<=c0V38FIais_heap_arrayV36c0V37F
a<=aV39V41aV39arightV41Ia<arightV41V40Ia<V41V40Aa<=c0V41FIais_heap_arrayV39c0V40F
a<V45V44Aa<=c0V44LaparentV44Ia>V44c0Ia<V44V43Aa<=c0V44Aais_heap_arrayV42c0V43Aa>V43c0F
a>V43c0LaparentV44Ia>V44c0Ia<V44V43Aa<=c0V44Aais_heap_arrayV42c0V43Aa>V43c0F
ais_heap_arrayV42c0V43Ia>V43c0LaparentV44Ia>V44c0Ia<V44V43Aa<=c0V44Aais_heap_arrayV42c0V43Aa>V43c0F
a<V45V43Aa<=c0V45Iais_heap_arrayV42c0V43Ia>V43c0LaparentV44Ia>V44c0Ia<V44V43Aa<=c0V44Aais_heap_arrayV42c0V43Aa>V43c0F
a<=aV42c0aV42V44Ia<=aV42c0aV42aparentV44ONa>V44c0Ia<V44V43Aa<=c0V44Aais_heap_arrayV42c0V43Aa>V43c0F
a<=aV42c0aV42V44Ia<=aV42c0aV42aparentV44ONa>V44c0Aa<V45V43Aa<=c0V45Aais_heap_arrayV42c0V43Aa>V43c0Aa<V45V44Aa<=c0V44LaparentV44Ia>V44c0Ia<V44V43Aa<=c0V44Aais_heap_arrayV42c0V43Aa>V43c0F
VC for is_heap_relation
a=amin_bagasingletonV0V0F
a=amin_bagaunionV1V2aminamin_bagV1amin_bagV2F
a=amin_bagV3aminV5amin_bagV4Ia=V3aaddV5V4F
a<=V7amin_bagaaddV7V6Ia<=V7amin_bagV6F
a>=c3c0
array creation size
a<c0alengthV0Aa<=c0c0Ia=alengthV0c3Aa=aV0V1c0Ia<V1c3Aa<=c0V1FF
a<c1alengthV1Aa<=c0c1Ia=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V2c0Ia<V2c3Aa<=c0V2FF
a<c2alengthV2Aa<=c0c2Ia=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FIa=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V3c0Ia<V3c3Aa<=c0V3FF
a>=alengthV3c0Ia=V3aV2c2c42Aa=aeltsV3asetaeltsV2c2c42Ia=alengthV3alengthV2FIa=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FIa=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V4c0Ia<V4c3Aa<=c0V4FF
a<=aV4c1aV4c2Aa<=aV4c0aV4c1Ia=aelementsaeltsV4c0alengthV4aelementsaeltsV3c0alengthV4AasortedV4Ia=alengthV4alengthV3FIa=V3aV2c2c42Aa=aeltsV3asetaeltsV2c2c42Ia=alengthV3alengthV2FIa=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FIa=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V5c0Ia<V5c3Aa<=c0V5FF
a=aelementsaeltsV4c0c3aunionasingletonc13aunionasingletonc42asingletonc42Ia<=aV4c1aV4c2Aa<=aV4c0aV4c1Ia=aelementsaeltsV4c0alengthV4aelementsaeltsV3c0alengthV4AasortedV4Ia=alengthV4alengthV3FIa=V3aV2c2c42Aa=aeltsV3asetaeltsV2c2c42Ia=alengthV3alengthV2FIa=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FIa=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V5c0Ia<V5c3Aa<=c0V5FF
a=aV4c0amin_bagaelementsaeltsV4c0c3Ia=aelementsaeltsV4c0c3aunionasingletonc13aunionasingletonc42asingletonc42Ia<=aV4c1aV4c2Aa<=aV4c0aV4c1Ia=aelementsaeltsV4c0alengthV4aelementsaeltsV3c0alengthV4AasortedV4Ia=alengthV4alengthV3FIa=V3aV2c2c42Aa=aeltsV3asetaeltsV2c2c42Ia=alengthV3alengthV2FIa=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FIa=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V5c0Ia<V5c3Aa<=c0V5FF
a=aV4c0c13Ia=aV4c0amin_bagaelementsaeltsV4c0c3Ia=aelementsaeltsV4c0c3aunionasingletonc13aunionasingletonc42asingletonc42Ia<=aV4c1aV4c2Aa<=aV4c0aV4c1Ia=aelementsaeltsV4c0alengthV4aelementsaeltsV3c0alengthV4AasortedV4Ia=alengthV4alengthV3FIa=V3aV2c2c42Aa=aeltsV3asetaeltsV2c2c42Ia=alengthV3alengthV2FIa=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FIa=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V5c0Ia<V5c3Aa<=c0V5FF
a=aV4c1amin_bagaelementsaeltsV4c1c3Ia=aV4c0c13Ia=aV4c0amin_bagaelementsaeltsV4c0c3Ia=aelementsaeltsV4c0c3aunionasingletonc13aunionasingletonc42asingletonc42Ia<=aV4c1aV4c2Aa<=aV4c0aV4c1Ia=aelementsaeltsV4c0alengthV4aelementsaeltsV3c0alengthV4AasortedV4Ia=alengthV4alengthV3FIa=V3aV2c2c42Aa=aeltsV3asetaeltsV2c2c42Ia=alengthV3alengthV2FIa=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FIa=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V5c0Ia<V5c3Aa<=c0V5FF
a=aV4c1c42Ia=aV4c1amin_bagaelementsaeltsV4c1c3Ia=aV4c0c13Ia=aV4c0amin_bagaelementsaeltsV4c0c3Ia=aelementsaeltsV4c0c3aunionasingletonc13aunionasingletonc42asingletonc42Ia<=aV4c1aV4c2Aa<=aV4c0aV4c1Ia=aelementsaeltsV4c0alengthV4aelementsaeltsV3c0alengthV4AasortedV4Ia=alengthV4alengthV3FIa=V3aV2c2c42Aa=aeltsV3asetaeltsV2c2c42Ia=alengthV3alengthV2FIa=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FIa=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V5c0Ia<V5c3Aa<=c0V5FF
a=aV4c2c42Ia=aV4c1c42Ia=aV4c1amin_bagaelementsaeltsV4c1c3Ia=aV4c0c13Ia=aV4c0amin_bagaelementsaeltsV4c0c3Ia=aelementsaeltsV4c0c3aunionasingletonc13aunionasingletonc42asingletonc42Ia<=aV4c1aV4c2Aa<=aV4c0aV4c1Ia=aelementsaeltsV4c0alengthV4aelementsaeltsV3c0alengthV4AasortedV4Ia=alengthV4alengthV3FIa=V3aV2c2c42Aa=aeltsV3asetaeltsV2c2c42Ia=alengthV3alengthV2FIa=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FIa=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FIa=alengthV0c3Aa=aV0V5c0Ia<V5c3Aa<=c0V5FF
a=aV4c2c42Aa=aV4c1c42Aa=aV4c1amin_bagaelementsaeltsV4c1c3Aa=aV4c0c13Aa=aV4c0amin_bagaelementsaeltsV4c0c3Aa=aelementsaeltsV4c0c3aunionasingletonc13aunionasingletonc42asingletonc42Aa<=aV4c1aV4c2Aa<=aV4c0aV4c1Ia=aelementsaeltsV4c0alengthV4aelementsaeltsV3c0alengthV4AasortedV4Ia=alengthV4alengthV3FAa>=alengthV3c0Ia=V3aV2c2c42Aa=aeltsV3asetaeltsV2c2c42Ia=alengthV3alengthV2FAa<c2alengthV2Aa<=c0c2Ia=V2aV1c1c13Aa=aeltsV2asetaeltsV1c1c13Ia=alengthV2alengthV1FAa<c1alengthV1Aa<=c0c1Ia=V1aV0c0c42Aa=aeltsV1asetaeltsV0c0c42Ia=alengthV1alengthV0FAa<c0alengthV0Aa<=c0c0Ia=alengthV0c3Aa=aV0V5c0Ia<V5c3Aa<=c0V5FFAa>=c3c0
VC for testHarness
a=aelementsV0V1V2aempty_bagIa>=V1V2F
a=aelementsV3V4V5aaddaV3a-V5c1aelementsV3V4a-V5c1Ia<V4V5F
a=aelementsV6V7V8asingletonaV6V7Ia=V8a+V7c1F
a=aelementsV9V10V12aunionaelementsV9V10V11aelementsV9V11V12Ia<=V11V12Aa<=V10V11F
a=aelementsV13V14V15aaddaV13V14aelementsV13a+V14c1V15Ia<V14V15F
a=aelementsV16V17a-V18c1adiffaelementsV16V17V18asingletonaV16a-V18c1Ia<V17a-V18c1F
a>anb_occaV19V21aelementsV19V20V22c0Ia<V21V22Aa<=V20V21F
a<a-V26V24a-V25V24Aa<=c0a-V25V24La-V25c1Ia>V25V24Ia<=V24V25F
a<=V24V26La-V25c1Ia>V25V24Ia<=V24V25F
a=aelementsaV23V26V27V24V25aelementsV23V24V25FIa>=V26V25Oa<V26V24FIa=aelementsaV23V29V30V24V28aelementsV23V24V28FIa>=V29V28Oa<V29V24FLa-V25c1ONa>V25V24Ia<=V24V25F
a=aelementsaV23V26V27V24V25aelementsV23V24V25FIa>=V26V25Oa<V26V24FIa=aelementsaV23V29V30V24V28aelementsV23V24V28FIa>=V29V28Oa<V29V24FLa-V25c1ONa>V25V24Aa<=V24V31Aa<a-V31V24a-V25V24Aa<=c0a-V25V24La-V25c1Ia>V25V24Ia<=V24V25F
VC for elements_set_outside
a=aelementsaV23V26V27V24V25aelementsV23V24V25FIa>=V26V25Oa<V26V24FIa<=V24V25F
a=aelementsaV28V30V32V29V31aaddV32V33Ia=aelementsV28V29V31aaddaV28V30V33Ia<V30V31Aa<=V29V30F
a=aelementsaV34V36V38V35V37aaddV38adiffaelementsV34V35V37asingletonaV34V36Ia<V36V37Aa<=V35V36F
a<V2V1Aa<=c0V1La-V1c1Ia>V1c1Iais_heap_arrayV0c0V1Aa>V1c0F
a>V2c0La-V1c1Ia>V1c1Iais_heap_arrayV0c0V1Aa>V1c0F
ais_heap_arrayV0c0V2Ia>V2c0La-V1c1Ia>V1c1Iais_heap_arrayV0c0V1Aa>V1c0F
a=aV0c0amin_bagamodelaTuple2V0V1Ia=aV0c0amin_bagamodelaTuple2V0a-V1c1ONa>V1c1Iais_heap_arrayV0c0V1Aa>V1c0F
a=aV0c0amin_bagamodelaTuple2V0V1Ia=aV0c0amin_bagamodelaTuple2V0a-V1c1ONa>V1c1Aais_heap_arrayV0c0V2Aa>V2c0Aa<V2V1Aa<=c0V1La-V1c1Ia>V1c1Iais_heap_arrayV0c0V1Aa>V1c0F
VC for is_heap_min
a=aV0c0amin_bagamodelaTuple2V0V1Iais_heap_arrayV0c0V1Ia>V1c0F
a=amodelaTuple2V2c0aempty_bagAais_heapaTuple2V2c0Ia=acontentsV2aconstc0Lacreatec0
VC for create
a=amodelaTuple2V2a+V3c1aaddaV2V3amodelaTuple2V2V3Aa>aV2V3V4Aais_heap_arrayV2c0a+V3c1Ia<V3V3AtAais_heap_arrayV2c0V3ItAa<=V3V3Aa<=c0V3Iais_heapaTuple2V2V3F
Na=c2c0Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
ais_heapaTuple2V11V12Ia<V5V3Aa<c0V5Ia=V12a+V3c1Aa=V11V10FIa=V10V9FIa=acontentsV9aacontentsV6V5V4LaV6V5V4Ia>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
a=amodelaTuple2V11V12aaddV4amodelaTuple2V2V3Ia<V5V3Iais_heapaTuple2V11V12Ia<V5V3Aa<c0V5Ia=V12a+V3c1Aa=V11V10FIa=V10V9FIa=acontentsV9aacontentsV6V5V4LaV6V5V4Ia>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
ais_heapaTuple2V11V12Ia=amodelaTuple2V11V12aaddV4amodelaTuple2V2V3Ia<V5V3Iais_heapaTuple2V11V12Ia<V5V3Aa<c0V5Ia=V12a+V3c1Aa=V11V10FIa=V10V9FIa=acontentsV9aacontentsV6V5V4LaV6V5V4Ia>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
VC for insert
a=amodelaTuple2V11V12aaddV4amodelaTuple2V2V3Ia=amodelaTuple2V11V12aaddV4amodelaTuple2V2V3Ia<V5V3Iais_heapaTuple2V11V12Ia<V5V3Aa<c0V5Ia=V12a+V3c1Aa=V11V10FIa=V10V9FIa=acontentsV9aacontentsV6V5V4LaV6V5V4Ia>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
a=amodelaTuple2V11V12aaddV4amodelaTuple2V2V3Aais_heapaTuple2V11V12Ia=amodelaTuple2V11V12aaddV4amodelaTuple2V2V3Ia<V5V3Iais_heapaTuple2V11V12Ia<V5V3Aa<c0V5Ia=V12a+V3c1Aa=V11V10FIa=V10V9FIa=acontentsV9aacontentsV6V5V4LaV6V5V4Ia>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
a<V11V5Aa<=c0V5Ia=V11V7FIa=V10V9FIa=acontentsV9aacontentsV6V5V8LaV6V5V8INa>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
loop variant decrease
a<=c0V11Ia=V11V7FIa=V10V9FIa=acontentsV9aacontentsV6V5V8LaV6V5V8INa>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
a<=V11V3Ia=V11V7FIa=V10V9FIa=acontentsV9aacontentsV6V5V8LaV6V5V8INa>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
ais_heap_arrayV10c0V3Ia=V11V3Ia=V11V7FIa=V10V9FIa=acontentsV9aacontentsV6V5V8LaV6V5V8INa>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
a=amodelaTuple2V10V3amodelaTuple2V2V3Ia=V11V3Ia=V11V7FIa=V10V9FIa=acontentsV9aacontentsV6V5V8LaV6V5V8INa>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
ais_heap_arrayV10c0a+V3c1Ia<V11V3Ia=V11V7FIa=V10V9FIa=acontentsV9aacontentsV6V5V8LaV6V5V8INa>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
a>aV10V11V4Ia<V11V3Ia=V11V7FIa=V10V9FIa=acontentsV9aacontentsV6V5V8LaV6V5V8INa>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
a=amodelaTuple2V10a+V3c1aaddaV10V11amodelaTuple2V2V3Ia<V11V3Ia=V11V7FIa=V10V9FIa=acontentsV9aacontentsV6V5V8LaV6V5V8INa>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
a=amodelaTuple2V10a+V3c1aaddaV10V11amodelaTuple2V2V3Aa>aV10V11V4Aais_heap_arrayV10c0a+V3c1Ia<V11V3Aa=amodelaTuple2V10V3amodelaTuple2V2V3Aais_heap_arrayV10c0V3Ia=V11V3Aa<=V11V3Aa<=c0V11Ia=V11V7FIa=V10V9FIa=acontentsV9aacontentsV6V5V8LaV6V5V8INa>=V4V8Ia=V8aacontentsV6V7LaV6V7Ladiva-V5c1c2Ia>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
ais_heapaTuple2V9V10Ia<V5V3Aa<c0V5Ia=V10a+V3c1Aa=V9V8FIa=V8V7FIa=acontentsV7aacontentsV6V5V4LaV6V5V4INa>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
a=amodelaTuple2V9V10aaddV4amodelaTuple2V2V3Ia<V5V3Iais_heapaTuple2V9V10Ia<V5V3Aa<c0V5Ia=V10a+V3c1Aa=V9V8FIa=V8V7FIa=acontentsV7aacontentsV6V5V4LaV6V5V4INa>V5c0Ia=amodelaTuple2V6a+V3c1aaddaV6V5amodelaTuple2V2V3Aa>aV6V5V4Aais_heap_arrayV6c0a+V3c1Ia<V5V3Aa=amodelaTuple2V6V3amodelaTuple2V2V3Aais_heap_arrayV6c0V3Ia=V5V3Aa<=V5V3Aa<=c0V5FIais_heapaTuple2V2V3F
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VC for extractMin
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a=amodelaTuple2V2V3aaddV4amodelaTuple2V17V18Ia=V18V5Aa=V17V16FIa=aelementsacontentsV16c0V5adiffamodelaTuple2V2V3asingletonV4Ia>V5c0Iais_heap_arrayV16c0V5Iais_heap_arrayV16c0V5Ia>V7c0Ia=V16V15FIa=acontentsV15aacontentsV8V7V6LaV8V7V6Ia<V7V5Ia<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a=amodelaTuple2V2V3aaddV4amodelaTuple2V17V18Aa=V4amin_bagamodelaTuple2V2V3Aais_heapaTuple2V17V18Ia=V18V5Aa=V17V16FIa=aelementsacontentsV16c0V5adiffamodelaTuple2V2V3asingletonV4Ia>V5c0Iais_heap_arrayV16c0V5Iais_heap_arrayV16c0V5Ia>V7c0Ia=V16V15FIa=acontentsV15aacontentsV8V7V6LaV8V7V6Ia<V7V5Ia<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
ais_heapaTuple2V15V16Ia=V16V5Aa=V15V8FINa<V7V5Ia<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a=V4amin_bagamodelaTuple2V2V3Ia=V16V5Aa=V15V8FINa<V7V5Ia<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a=amodelaTuple2V2V3aaddV4amodelaTuple2V15V16Ia=V16V5Aa=V15V8FINa<V7V5Ia<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a=amodelaTuple2V2V3aaddV4amodelaTuple2V15V16Aa=V4amin_bagamodelaTuple2V2V3Aais_heapaTuple2V15V16Ia=V16V5Aa=V15V8FINa<V7V5Ia<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a<a-V5V18a-V5V7Aa<=c0a-V5V7Ia=V18V13FIa=V17V16FIa=acontentsV16aacontentsV8V7V15LaV8V7V15Ia=V15aacontentsV8V13LaV8V13INa<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a<=c0V18Ia=V18V13FIa=V17V16FIa=acontentsV16aacontentsV8V7V15LaV8V7V15Ia=V15aacontentsV8V13LaV8V13INa<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a<V18V5Ia>V5c0Ia=V18V13FIa=V17V16FIa=acontentsV16aacontentsV8V7V15LaV8V7V15Ia=V15aacontentsV8V13LaV8V13INa<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
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a=aelementsacontentsV17c0V5aaddaV17V18adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Ia=V18V13FIa=V17V16FIa=acontentsV16aacontentsV8V7V15LaV8V7V15Ia=V15aacontentsV8V13LaV8V13INa<=V6V14Ia=V14aacontentsV8V13LaV8V13Ia=V13V10FIa>V12V11Ia=V12aacontentsV8V9LaV8V9Ia=V11aacontentsV8V10LaV8V10Ia<V10V5INa>=V9V5La+a*c2V7c2La+a*c2V7c1Ia<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
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ais_heapaTuple2V11V12Ia=V12V5Aa=V11V10FIa=aelementsacontentsV10c0V5adiffamodelaTuple2V2V3asingletonV4Ia>V5c0Iais_heap_arrayV10c0V5Iais_heap_arrayV10c0V5Ia>V7c0Ia=V10V9FIa=acontentsV9aacontentsV8V7V6LaV8V7V6Ia<V7V5Ia=V5c0INa<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
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a=amodelaTuple2V2V3aaddV4amodelaTuple2V11V12Ia=V12V5Aa=V11V10FIa=aelementsacontentsV10c0V5adiffamodelaTuple2V2V3asingletonV4Ia>V5c0Iais_heap_arrayV10c0V5Iais_heap_arrayV10c0V5Ia>V7c0Ia=V10V9FIa=acontentsV9aacontentsV8V7V6LaV8V7V6Ia<V7V5Ia=V5c0INa<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a=amodelaTuple2V2V3aaddV4amodelaTuple2V11V12Aa=V4amin_bagamodelaTuple2V2V3Aais_heapaTuple2V11V12Ia=V12V5Aa=V11V10FIa=aelementsacontentsV10c0V5adiffamodelaTuple2V2V3asingletonV4Ia>V5c0Iais_heap_arrayV10c0V5Iais_heap_arrayV10c0V5Ia>V7c0Ia=V10V9FIa=acontentsV9aacontentsV8V7V6LaV8V7V6Ia<V7V5Ia=V5c0INa<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
ais_heapaTuple2V9V10Ia=V10V5Aa=V9V8FINa<V7V5Ia=V5c0INa<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a=V4amin_bagamodelaTuple2V2V3Ia=V10V5Aa=V9V8FINa<V7V5Ia=V5c0INa<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a=amodelaTuple2V2V3aaddV4amodelaTuple2V9V10Ia=V10V5Aa=V9V8FINa<V7V5Ia=V5c0INa<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
a=amodelaTuple2V2V3aaddV4amodelaTuple2V9V10Aa=V4amin_bagamodelaTuple2V2V3Aais_heapaTuple2V9V10Ia=V10V5Aa=V9V8FINa<V7V5Ia=V5c0INa<V7V5Ia<aV8aparentV7V6Ia>V7c0Aa=aelementsacontentsV8c0V5aaddaV8V7adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V8V2Ia=V7c0Aais_heap_arrayV8c0V5Aa<V7V5Ia>V5c0Aa<=c0V7FIa>anb_occV6adiffamodelaTuple2V2V3asingletonV4c0Ia>V5c0Ia=V6aacontentsV2V5LaV2V5La-V3c1Ia=V4aacontentsV2c0LaV2c0Ia>V3c0Iais_heapaTuple2V2V3ANa=amodelaTuple2V2V3aempty_bagF
iia=amodelaTuple2V2V3aaddV4amodelaTuple2V9V10Aa=V4amin_bagamodelaTuple2V2V3Aais_heapaTuple2V9V10Ia=V10V5Aa=V9V8Fa=amodelaTuple2V2V3aaddV4amodelaTuple2V13V14Aa=V4amin_bagamodelaTuple2V2V3Aais_heapaTuple2V13V14Ia=V14V5Aa=V13V12FAa=aelementsacontentsV12c0V5adiffamodelaTuple2V2V3asingletonV4Ia>V5c0Aais_heap_arrayV12c0V5Aais_heap_arrayV12c0V5Ia>V7c0Ia=V12V11FIa=acontentsV11aacontentsV8V7V6LaV8V7V6a<V7V5Aa=V5c0iiia<aV20aparentV21V6Ia>V21c0Aa=aelementsacontentsV20c0V5aaddaV20V21adiffadiffamodelaTuple2V2V3asingletonV6asingletonV4Ia>V5c0Aa=V20V2Ia=V21c0Aais_heap_arrayV20c0V5Aa<V21V5Ia>V5c0Aa<=c0V21Aa<a-V5V21a-V5V7Aa<=c0a-V5V7Ia=V21V15FIa=V20V19FIa=acontentsV19aacontentsV8V7V18LaV8V7V18Ia=V18aacontentsV8V15LaV8V15ia=amodelaTuple2V2V3aaddV4amodelaTuple2V22V23Aa=V4amin_bagamodelaTuple2V2V3Aais_heapaTuple2V22V23Ia=V23V5Aa=V22V8Fa=amodelaTuple2V2V3aaddV4amodelaTuple2V26V27Aa=V4amin_bagamodelaTuple2V2V3Aais_heapaTuple2V26V27Ia=V27V5Aa=V26V25FAa=aelementsacontentsV25c0V5adiffamodelaTuple2V2V3asingletonV4Ia>V5c0Aais_heap_array
a=amodelaTuple2V0c0aempty_bagF
a=amodelaTuple2V1c1asingletonaV1c0F
a=aaddaV2V4amodelaTuple2aV2V4V3V5aaddV3amodelaTuple2V2V5Ia<V4V5Aa<=c0V4F
a=amodelaTuple2V6a+V7c1aaddaV6V7amodelaTuple2V6V7Ia>=V7c0F

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