a=V0V1qaeq_locV0V1F
tINa=V2anullF
VC for get_left
VC for get_right
VC for get_data
CfaEmptya=V7V3Oa=V6V3aNodeVwVV2Ia=V2aNodeV3V4V5FIa=arightaV0V8arightaV1V8Aa=aleftaV0V8aleftaV1V8IamemV8ainorderV2FAaistreeV0V2F
variant decrease
aistreeV0V3Ia=V2aNodeV3V4V5FIa=arightaV0V6arightaV1V6Aa=aleftaV0V6aleftaV1V6IamemV6ainorderV2FAaistreeV0V2F
precondition
a=arightaV0V6arightaV1V6Aa=aleftaV0V6aleftaV1V6IamemV6ainorderV3FIaistreeV0V3Ia=V2aNodeV3V4V5FIa=arightaV0V7arightaV1V7Aa=aleftaV0V7aleftaV1V7IamemV7ainorderV2FAaistreeV0V2F
CfaEmptya=V7V5Oa=V6V5aNodeVwVV2IaistreeV1V3Ia=V2aNodeV3V4V5FIa=arightaV0V8arightaV1V8Aa=aleftaV0V8aleftaV1V8IamemV8ainorderV2FAaistreeV0V2F
aistreeV0V5IaistreeV1V3Ia=V2aNodeV3V4V5FIa=arightaV0V6arightaV1V6Aa=aleftaV0V6aleftaV1V6IamemV6ainorderV2FAaistreeV0V2F
a=arightaV0V6arightaV1V6Aa=aleftaV0V6aleftaV1V6IamemV6ainorderV5FIaistreeV0V5IaistreeV1V3Ia=V2aNodeV3V4V5FIa=arightaV0V7arightaV1V7Aa=aleftaV0V7aleftaV1V7IamemV7ainorderV2FAaistreeV0V2F
aistreeV1V2ICtaEmptyaistreeV1V5AaistreeV1V3aNodeVVVV2Ia=arightaV0V6arightaV1V6Aa=aleftaV0V6aleftaV1V6IamemV6ainorderV2FAaistreeV0V2F
postcondition
aistreeV1V2ICtaEmptyaistreeV1V4AaistreeV1V3aNodeVwVV2ACtaEmptya=arightaV0V7arightaV1V7Aa=aleftaV0V7aleftaV1V7IamemV7ainorderV6FAaistreeV0V6ACfaEmptya=V9V6Oa=V8V6aNodeVwVV2IaistreeV1V5Aa=arightaV0V10arightaV1V10Aa=aleftaV0V10aleftaV1V10IamemV10ainorderV5FAaistreeV0V5ACfaEmptya=V12V5Oa=V11V5aNodeVwVV2aNodeVwVV2Ia=arightaV0V13arightaV1V13Aa=aleftaV0V13aleftaV1V13IamemV13ainorderV2FAaistreeV0V2F
VC for extensionality
aistreeV1V2Ia=arightaV0V3arightaV1V3Aa=aleftaV0V3aleftaV1V3IamemV3ainorderV2FIaistreeV0V2F
Ca=ainorderazipV5V4a++ainorderV5ainorderzV4FaTopa=ainorderazipV9V4a++ainorderV9ainorderzV4FIa=ainorderazipV10V6a++ainorderV10ainorderzV6FaLeftVVVV4F
empty_shape
a=ainorderazipV5V4a++ainorderV5ainorderzV4F
CfaEmptya=V7V8aNodeVwwV6ICfaEmptya=V7V9aNodeVwwV6FACfaEmptytaNodeVwwV6INa=V6aEmptyF
VC for tree_left
CfaEmptya=V7V8aNodewwVV6ICfaEmptya=V7V9aNodewwVV6FACfaEmptytaNodewwVV6INa=V6aEmptyF
VC for tree_right
CNamemV8V7IamemV8V6FAadistinctV7AadistinctV6Iadistincta++V6V7FaNilNamemV12V11IamemV12V6FAadistinctV11AadistinctV6Iadistincta++V6V11FINamemV14V13IamemV14V10FAadistinctV13AadistinctV10Iadistincta++V10V13FaConsVVV6F
NamemV8V7IamemV8V6FAadistinctV7AadistinctV6Iadistincta++V6V7F
CfaTopa=V15V12aLeftVwwV11Ia=V11aLeftV12V13V14FIaistreeV9azipV10V11F
aistreeV9azipaNodeV10V13V14V12Ia=V11aLeftV12V13V14FIaistreeV9azipV10V11F
aistreeV9V10ICtaTopaistreeV9aNodeV10V13V14aLeftVVVV11IaistreeV9azipV10V11F
aistreeV9V10ICtaTopaistreeV9aNodeV10V13V14aLeftVVVV11ACtaTopaistreeV9azipaNodeV10V16V17V15ACfaTopa=V18V15aLeftVwwV11aLeftVVVV11IaistreeV9azipV10V11F
VC for in_zip_tree
aistreeV9azipV17V14LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV18ainorderV11INa=aV9V18aV10V18FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
amemV18aConsV15ainorderV16Ia=V18V15OamemV18ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV19ainorderV11INa=aV9V19aV10V19FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
assertion
adistinctainorderV17Ia=V18V15OamemV18ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV19ainorderV11INa=aV9V19aV10V19FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
a=aV9V18aV10V18IadistinctainorderV17AamemV18aConsV15ainorderV16Ia=V18V15OamemV18ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV19ainorderV11INa=aV9V19aV10V19FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
VC for subst_zip_tree
a=aV9V18aV10V18ItOadistinctainorderV17AamemV18aConsV15ainorderV16Ia=V18V15OamemV18ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV19ainorderV11INa=aV9V19aV10V19FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
aistreeV9V16Ia=aV9V18aV10V18Ia=V18V15OamemV18ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV19ainorderV11INa=aV9V19aV10V19FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
a=arightaV9V18arightaV10V18Aa=aleftaV9V18aleftaV10V18IamemV18ainorderV16FIaistreeV9V16Ia=aV9V19aV10V19Ia=V19V15OamemV19ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV20ainorderV11INa=aV9V20aV10V20FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
CfaTopa=V19V14aLeftVwwV13LaNodeV12V15V16IaistreeV10V16Ia=aV9V20aV10V20Ia=V20V15OamemV20ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV21ainorderV11INa=aV9V21aV10V21FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
aistreeV10V18AaistreeV9azipV17V14LaNodeV12V15V16IaistreeV10V16Ia=aV9V19aV10V19Ia=V19V15OamemV19ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV20ainorderV11INa=aV9V20aV10V20FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
a=arootV17arootV18IaistreeV10V18AaistreeV9azipV17V14LaNodeV12V15V16IaistreeV10V16Ia=aV9V19aV10V19Ia=V19V15OamemV19ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV20ainorderV11INa=aV9V20aV10V20FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
adistinctainorderazipV17V14Ia=arootV17arootV18IaistreeV10V18AaistreeV9azipV17V14LaNodeV12V15V16IaistreeV10V16Ia=aV9V19aV10V19Ia=V19V15OamemV19ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV20ainorderV11INa=aV9V20aV10V20FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
amemV19ainorderV17INa=aV9V19aV10V19FIadistinctainorderazipV17V14Ia=arootV17arootV18IaistreeV10V18AaistreeV9azipV17V14LaNodeV12V15V16IaistreeV10V16Ia=aV9V20aV10V20Ia=V20V15OamemV20ainorderV16FIaistreeV9V17LaNodeV11V15V16Ia=V13aLeftV14V15V16FIamemV21ainorderV11INa=aV9V21aV10V21FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
a=arootazipV11V13arootazipV12V13AaistreeV10azipV12V13ICtaTopa=arootazipV17V14arootazipV18V14AaistreeV10azipV18V14LaNodeV12V15V16AaistreeV10V16Aa=aV9V19aV10V19Ia=V19V15OamemV19ainorderV16FAaistreeV9V17LaNodeV11V15V16aLeftVVVV13IamemV20ainorderV11INa=aV9V20aV10V20FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
a=arootazipV11V13arootazipV12V13AaistreeV10azipV12V13ICtaTopa=arootazipV17V14arootazipV18V14AaistreeV10azipV18V14LaNodeV12V15V16AaistreeV10V16Aa=aV9V19aV10V19ItOadistinctainorderV17AamemV19aConsV15ainorderV16Ia=V19V15OamemV19ainorderV16FAaistreeV9V17LaNodeV11V15V16aLeftVVVV13ACtaTopamemV25ainorderV23INa=aV9V25aV10V25FAadistinctainorderazipV23V20Aa=arootV23arootV24AaistreeV10V24AaistreeV9azipV23V20ACfaTopa=V26V20aLeftVwwV13LaNodeV12V21V22IaistreeV10V22Aa=arightaV9V27arightaV10V27Aa=aleftaV9V27aleftaV10V27IamemV27ainorderV22FAaistreeV9V22Ia=aV9V28aV10V28ItOadistinctainorderV23AamemV28aConsV21ainorderV22Ia=V28V21OamemV28ainorderV22FAa=aV9V29aV10V29ItOadistinctainorderV23AamemV29aConsV21ainorderV22Ia=V29V21OamemV29ainorderV22FIaistreeV9V23AaistreeV9azipV23V20LaNodeV11V21V22aLeftVVVV13IamemV30ainorderV11INa=aV9V30aV10V30FAadistinctainorderazipV11V13Aa=arootV11arootV12AaistreeV10V12AaistreeV9azipV11V13F
aistreeV9azipV17V14LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV18AaistreeV9V18LazipaNodeaNodeaEmptyV11V13V10V12V14F
adistinctainorderV17La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV19AaistreeV9V19LazipaNodeaNodeaEmptyV11V13V10V12V14F
a=ainorderV17aConsV11V18IadistinctainorderV17La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV19AaistreeV9V19LazipaNodeaNodeaEmptyV11V13V10V12V14F
adistinctV18Ia=ainorderV17aConsV11V18AadistinctainorderV17La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV19AaistreeV9V19LazipaNodeaNodeaEmptyV11V13V10V12V14F
adistinctV18ItOtOa=ainorderV17aConsV11V18AadistinctainorderV17La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV19AaistreeV9V19LazipaNodeaNodeaEmptyV11V13V10V12V14F
aistreeV9V13IadistinctV18La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV19AaistreeV9V19LazipaNodeaNodeaEmptyV11V13V10V12V14F
a=arightaV9V18arightaV16V18Aa=aleftaV9V18aleftaV16V18IamemV18ainorderV13FIaistreeV9V13IadistinctV19La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV20AaistreeV9V20LazipaNodeaNodeaEmptyV11V13V10V12V14F
aistreeV9V12IaistreeV16V13IadistinctV18La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV19AaistreeV9V19LazipaNodeaNodeaEmptyV11V13V10V12V14F
a=arightaV9V18arightaV16V18Aa=aleftaV9V18aleftaV16V18IamemV18ainorderV12FIaistreeV9V12IaistreeV16V13IadistinctV19La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV20AaistreeV9V20LazipaNodeaNodeaEmptyV11V13V10V12V14F
aistreeV16V18AaistreeV9azipV17V14LaNodeV13V10V12IaistreeV16V12IaistreeV16V13IadistinctV19La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV20AaistreeV9V20LazipaNodeaNodeaEmptyV11V13V10V12V14F
a=arootV17arootV18IaistreeV16V18AaistreeV9azipV17V14LaNodeV13V10V12IaistreeV16V12IaistreeV16V13IadistinctV19La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV20AaistreeV9V20LazipaNodeaNodeaEmptyV11V13V10V12V14F
adistinctainorderazipV17V14Ia=arootV17arootV18IaistreeV16V18AaistreeV9azipV17V14LaNodeV13V10V12IaistreeV16V12IaistreeV16V13IadistinctV19La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV20AaistreeV9V20LazipaNodeaNodeaEmptyV11V13V10V12V14F
amemV19ainorderV17INa=aV9V19aV16V19FIadistinctainorderazipV17V14Ia=arootV17arootV18IaistreeV16V18AaistreeV9azipV17V14LaNodeV13V10V12IaistreeV16V12IaistreeV16V13IadistinctV20La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV21AaistreeV9V21LazipaNodeaNodeaEmptyV11V13V10V12V14F
a=arootazipaNodeaNodeaEmptyV11V13V10V12V14arootazipV19V14AaistreeaV9V10anode'mkarightaV9V11arightV20adataV20LaV9V10azipV19V14LaNodeV13V10V12Ia=arootazipV17V14arootazipV18V14AaistreeV16azipV18V14LaNodeV13V10V12IaistreeV16V12IaistreeV16V13IadistinctV21La++ainorderV13aConsV10ainorderV12IaistreeV9V17LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV22AaistreeV9V22LazipaNodeaNodeaEmptyV11V13V10V12V14F
a=arootazipaNodeaNodeaEmptyV11V13V10V12V14arootazipV19V14AaistreeaV9V10anode'mkarightaV9V11arightV20adataV20LaV9V10azipV19V14LaNodeV13V10V12Ia=arootazipV17V14arootazipV18V14AaistreeV16azipV18V14AamemV21ainorderV17INa=aV9V21aV16V21FAadistinctainorderazipV17V14Aa=arootV17arootV18AaistreeV16V18AaistreeV9azipV17V14LaNodeV13V10V12IaistreeV16V12Aa=arightaV9V22arightaV16V22Aa=aleftaV9V22aleftaV16V22IamemV22ainorderV12FAaistreeV9V12IaistreeV16V13Aa=arightaV9V23arightaV16V23Aa=aleftaV9V23aleftaV16V23IamemV23ainorderV13FAaistreeV9V13AadistinctV24ItOtOa=ainorderV17aConsV11V24AadistinctainorderV17La++ainorderV13aConsV10ainorderV12IaistreeV9V17AaistreeV9azipV17V14LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV15adataV15LaV9V10IadistinctainorderV25AaistreeV9V25LazipaNodeaNodeaEmptyV11V13V10V12V14F
VC for main_lemma
a=arootazipV16V14arootazipV17V14AaistreeV15azipV17V14LaNodeV13V10V12LaNodeaNodeaEmptyV11V13V10V12LaV9V10anode'mkarightaV9V11arightV18adataV18LaV9V10IadistinctainorderV19AaistreeV9V19LazipaNodeaNodeaEmptyV11V13V10V12V14F
Na=V21anullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V21anullIaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
fIa=V22aEmptyIaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
unreachable point
a=V25aEmptyIa=V22aNodeV25V26V27FIaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
tIa=V28V27FIa=V25aEmptyIa=V22aNodeV25V26V27FIaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
CfaNila=ainorderV28V30Aa=adataaV20V21adataaV20V29aConsVVainorderV22Aa=arootV28arightaV20V21AaistreeV20V28ItIa=V28V27FIa=V25aEmptyIa=V22aNodeV25V26V27FIaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V25anullLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V22aEmptyLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V22aEmptyICfaEmptya=V26V27aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
tANa=V21anullICfaEmptya=V27V28aNodeVwwV22FICfaEmptya=V26V29aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
loop invariant init
a=aleftaV20aleftaV20V21aleftaV20V25ANa=aleftaV20V21anullItANa=V21anullICfaEmptya=V27V28aNodeVwwV22FICfaEmptya=V26V29aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
a=azipV28aTopV22AaistreeV20V28LaNodeV27V21V26Ia=aleftaV20aleftaV20V21aleftaV20V25ANa=aleftaV20V21anullItANa=V21anullICfaEmptya=V27V29aNodeVwwV22FICfaEmptya=V26V30aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
tIa=azipV28aTopV22AaistreeV20V28LaNodeV27V21V26Ia=aleftaV20aleftaV20V21aleftaV20V25ANa=aleftaV20V21anullItANa=V21anullICfaEmptya=V27V29aNodeVwwV22FICfaEmptya=V26V30aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
a=arootV28V33AaistreeV20V28INaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV35V30V22AaistreeV20V35LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V36aNodeVwwV22FICfaEmptya=V26V37aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V28aEmptyIa=V35aLeftV30V32V29FIa=arootV28V33AaistreeV20V28INaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV36V30V22AaistreeV20V36LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V37aNodeVwwV22FICfaEmptya=V26V38aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V28aEmptyIa=V37V36FICfaEmptya=V36V38aNodewwVV28FIa=V35aLeftV30V32V29FIa=arootV28V33AaistreeV20V28INaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV39V30V22AaistreeV20V39LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V40aNodeVwwV22FICfaEmptya=V26V41aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V41anullIa=V41V31FIa=V40V33FIa=V39V38FICfaEmptya=V38V42aNodeVwwV28FIa=V37V36FICfaEmptya=V36V43aNodewwVV28FIa=V35aLeftV30V32V29FIa=arootV28V33AaistreeV20V28INaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV44V30V22AaistreeV20V44LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V45aNodeVwwV22FICfaEmptya=V26V46aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
CfaEmptya=V44V39Oa=V43V39aNodeVwVV28Ia=V42aleftaV20V41FIa=V41V31FIa=V40V33FIa=V39V38FICfaEmptya=V38V45aNodeVwwV28FIa=V37V36FICfaEmptya=V36V46aNodewwVV28FIa=V35aLeftV30V32V29FIa=arootV28V33AaistreeV20V28INaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV47V30V22AaistreeV20V47LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V48aNodeVwwV22FICfaEmptya=V26V49aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
loop variant decrease
a=aleftaV20V40V41ANa=V40anullIa=V42aleftaV20V41FIa=V41V31FIa=V40V33FIa=V39V38FICfaEmptya=V38V43aNodeVwwV28FIa=V37V36FICfaEmptya=V36V44aNodewwVV28FIa=V35aLeftV30V32V29FIa=arootV28V33AaistreeV20V28INaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV45V30V22AaistreeV20V45LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V46aNodeVwwV22FICfaEmptya=V26V47aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
loop invariant preservation
a=aleftaV20V41V42ANa=V41anullIa=aleftaV20V40V41ANa=V40anullIa=V42aleftaV20V41FIa=V41V31FIa=V40V33FIa=V39V38FICfaEmptya=V38V43aNodeVwwV28FIa=V37V36FICfaEmptya=V36V44aNodewwVV28FIa=V35aLeftV30V32V29FIa=arootV28V33AaistreeV20V28INaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV45V30V22AaistreeV20V45LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V46aNodeVwwV22FICfaEmptya=V26V47aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
a=azipV43V35V22AaistreeV20V43LaNodeV39V40V37Ia=aleftaV20V41V42ANa=V41anullIa=aleftaV20V40V41ANa=V40anullIa=V42aleftaV20V41FIa=V41V31FIa=V40V33FIa=V39V38FICfaEmptya=V38V44aNodeVwwV28FIa=V37V36FICfaEmptya=V36V45aNodewwVV28FIa=V35aLeftV30V32V29FIa=arootV28V33AaistreeV20V28INaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV46V30V22AaistreeV20V46LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V47aNodeVwwV22FICfaEmptya=V26V48aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
tIa=azipV43V35V22AaistreeV20V43LaNodeV39V40V37Ia=aleftaV20V41V42ANa=V41anullIa=aleftaV20V40V41ANa=V40anullIa=V42aleftaV20V41FIa=V41V31FIa=V40V33FIa=V39V38FICfaEmptya=V38V44aNodeVwwV28FIa=V37V36FICfaEmptya=V36V45aNodewwVV28FIa=V35aLeftV30V32V29FIa=arootV28V33AaistreeV20V28INaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV46V30V22AaistreeV20V46LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V47aNodeVwwV22FICfaEmptya=V26V48aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
a=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV35V30V22AaistreeV20V35LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V36aNodeVwwV22FICfaEmptya=V26V37aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV35V30V22AaistreeV20V35LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V36aNodeVwwV22FICfaEmptya=V26V37aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V33anullINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV35V30V22AaistreeV20V35LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V36aNodeVwwV22FICfaEmptya=V26V37aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V32anullIa=V35arightaV20V33FINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV36V30V22AaistreeV20V36LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V37aNodeVwwV22FICfaEmptya=V26V38aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V28aEmptyIa=aV36V37aV20V37INa=V37V32FAa=aV36V32anode'mkV35arightV38adataV38LaV20V32FIa=V35arightaV20V33FINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV39V30V22AaistreeV20V39LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V40aNodeVwwV22FICfaEmptya=V26V41aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
a=V37aEmptyICfaEmptya=V37V38aNodeVwwV28FIa=aV36V39aV20V39INa=V39V32FAa=aV36V32anode'mkV35arightV40adataV40LaV20V32FIa=V35arightaV20V33FINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV41V30V22AaistreeV20V41LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V42aNodeVwwV22FICfaEmptya=V26V43aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=V28aEmptyIa=V37aEmptyICfaEmptya=V37V38aNodeVwwV28FIa=aV36V39aV20V39INa=V39V32FAa=aV36V32anode'mkV35arightV40adataV40LaV20V32FIa=V35arightaV20V33FINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV41V30V22AaistreeV20V41LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V42aNodeVwwV22FICfaEmptya=V26V43aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
a=adataaV36V40adataaV20V40FIa=V39azipV38aLeftV30V32V29FICfaEmptya=V38V41aNodewwVV28FIa=V37aEmptyICfaEmptya=V37V42aNodeVwwV28FIa=aV36V43aV20V43INa=V43V32FAa=aV36V32anode'mkV35arightV44adataV44LaV20V32FIa=V35arightaV20V33FINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV45V30V22AaistreeV20V45LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V46aNodeVwwV22FICfaEmptya=V26V47aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
aistreeV36V39Ia=adataaV36V40adataaV20V40FIa=V39azipV38aLeftV30V32V29FICfaEmptya=V38V41aNodewwVV28FIa=V37aEmptyICfaEmptya=V37V42aNodeVwwV28FIa=aV36V43aV20V43INa=V43V32FAa=aV36V32anode'mkV35arightV44adataV44LaV20V32FIa=V35arightaV20V33FINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV45V30V22AaistreeV20V45LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V46aNodeVwwV22FICfaEmptya=V26V47aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
VC for search_tree_delete_min
a=arootV39V21Ia=adataaV36V40adataaV20V40FIa=V39azipV38aLeftV30V32V29FICfaEmptya=V38V41aNodewwVV28FIa=V37aEmptyICfaEmptya=V37V42aNodeVwwV28FIa=aV36V43aV20V43INa=V43V32FAa=aV36V32anode'mkV35arightV44adataV44LaV20V32FIa=V35arightaV20V33FINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV45V30V22AaistreeV20V45LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V46aNodeVwwV22FICfaEmptya=V26V47aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
Na=ainorderV22aNilIa=adataaV36V40adataaV20V40FIa=V39azipV38aLeftV30V32V29FICfaEmptya=V38V41aNodewwVV28FIa=V37aEmptyICfaEmptya=V37V42aNodeVwwV28FIa=aV36V43aV20V43INa=V43V32FAa=aV36V32anode'mkV35arightV44adataV44LaV20V32FIa=V35arightaV20V33FINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV45V30V22AaistreeV20V45LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V46aNodeVwwV22FICfaEmptya=V26V47aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
a=adataaV20V33adataaV36V40Ia=ainorderV22aConsV40V41FIa=adataaV36V42adataaV20V42FIa=V39azipV38aLeftV30V32V29FICfaEmptya=V38V43aNodewwVV28FIa=V37aEmptyICfaEmptya=V37V44aNodeVwwV28FIa=aV36V45aV20V45INa=V45V32FAa=aV36V32anode'mkV35arightV46adataV46LaV20V32FIa=V35arightaV20V33FINa=V32V33Ia=arootV28V33AaistreeV20V28INNaeq_locV31V34Ia=V31V34qaeq_locV31V34LanullItAa=azipV47V30V22AaistreeV20V47LaNodeV28V32V29Aa=aleftaV20V33V31ANa=V33anullAa=aleftaV20V32V33ANa=V32anullFICfaEmptya=V27V48aNodeVwwV22FICfaEmptya=V26V49aNodewwVV22FLaleftaV20V21INaeq_locV24V23Ia=V24V23qaeq_locV24V23LaleftaV20V21LanullIadistinctainorderV22Aa=V21arootV22AaistreeV20V22ANa=V21anullFF
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