asortedV0E
VC for tower
asortedarodV0FarodV0
a=aprependV2V1V1Ia<=V2c0F
a=aprependV4V3aprependa-V4c1aConsV4V3Ia>V4c0F
asortedV14Ia=V16aConsV11arodV7FIa=V14V12FIa=arodV5aConsV11V12FICtaNila>V17V9aConsVwarodV7Aa=arodV5aConsV9V10Aa=V8arodV7Aa=V6arodV5F
type invariant
asortedV16Ia=V14arodV13Ia=V16aConsV11arodV7FIa=V14V12FIa=arodV5aConsV11V12FICtaNila>V17V9aConsVwarodV7Aa=arodV5aConsV9V10Aa=V8arodV7Aa=V6arodV5F
a=arodV13V10Ia=V16arodV15Ia=V14arodV13Ia=V16aConsV11arodV7FIa=V14V12FIa=arodV5aConsV11V12FICtaNila>V17V9aConsVwarodV7Aa=arodV5aConsV9V10Aa=V8arodV7Aa=V6arodV5F
postcondition
a=arodV15aConsV9arodV7Ia=arodV13V10Ia=V16arodV15Ia=V14arodV13Ia=V16aConsV11arodV7FIa=V14V12FIa=arodV5aConsV11V12FICtaNila>V17V9aConsVwarodV7Aa=arodV5aConsV9V10Aa=V8arodV7Aa=V6arodV5F
fIa=arodV5aNilICtaNila>V11V9aConsVwarodV7Aa=arodV5aConsV9V10Aa=V8arodV7Aa=V6arodV5F
unreachable point
Ca=arodV15aConsV9arodV7Aa=arodV13V10Ia=V16arodV15AasortedV16Ia=V14arodV13AasortedV14Ia=V16aConsV11arodV7FIa=V14V12FaConsVVfaNilarodV5ICtaNila>V17V9aConsVwarodV7Aa=arodV5aConsV9V10Aa=V8arodV7Aa=V6arodV5F
VC for move
a<V15V11Aa<=c0V11ItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V16V11aConsVwarodV9ACtaNila>V17V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
variant decrease
a=arodV5aprependV15V14ItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V16V11aConsVwarodV9ACtaNila>V17V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
precondition
CtaNila>V16V15aConsVwarodV9Ia=arodV5aprependV15V14ItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V17V11aConsVwarodV9ACtaNila>V18V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
CtaNila>V16V15aConsVwarodV7ICtaNila>V17V15aConsVwarodV9Ia=arodV5aprependV15V14ItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V18V11aConsVwarodV9ACtaNila>V19V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV20aConsV11V12ItItIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V22V11aConsVwarodV9ACtaNila>V23V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
CtaNila>V22V11aConsVwarodV18Ia=arodV20aConsV11V12ItItIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V23V11aConsVwarodV9ACtaNila>V24V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a<V26V11Aa<=c0V11ItItItLa-V11c1Ia=arodV22aConsV11arodV18Aa=arodV24V12Ia=V23arodV22Ia=V25arodV24FItItIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V27V11aConsVwarodV9ACtaNila>V28V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV16aprependV26V13ItItItLa-V11c1Ia=arodV22aConsV11arodV18Aa=arodV24V12Ia=V23arodV22Ia=V25arodV24FItItIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V27V11aConsVwarodV9ACtaNila>V28V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
CtaNila>V27V26aConsVwarodV22Ia=arodV16aprependV26V13ItItItLa-V11c1Ia=arodV22aConsV11arodV18Aa=arodV24V12Ia=V23arodV22Ia=V25arodV24FItItIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V28V11aConsVwarodV9ACtaNila>V29V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
CtaNila>V27V26aConsVwarodV24ICtaNila>V28V26aConsVwarodV22Ia=arodV16aprependV26V13ItItItLa-V11c1Ia=arodV22aConsV11arodV18Aa=arodV24V12Ia=V23arodV22Ia=V25arodV24FItItIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V29V11aConsVwarodV9ACtaNila>V30V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV31V12ItItItIa=arodV31arodV24Aa=arodV29aprependV26arodV22Aa=arodV27V13Ia=V28arodV27Ia=V30arodV29Ia=V32arodV31FItItItLa-V11c1Ia=arodV22aConsV11arodV18Aa=arodV24V12Ia=V23arodV22Ia=V25arodV24FItItIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V33V11aConsVwarodV9ACtaNila>V34V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV29aprependV11arodV7Ia=arodV31V12ItItItIa=arodV31arodV24Aa=arodV29aprependV26arodV22Aa=arodV27V13Ia=V28arodV27Ia=V30arodV29Ia=V32arodV31FItItItLa-V11c1Ia=arodV22aConsV11arodV18Aa=arodV24V12Ia=V23arodV22Ia=V25arodV24FItItIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V33V11aConsVwarodV9ACtaNila>V34V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV27arodV9Ia=arodV29aprependV11arodV7Ia=arodV31V12ItItItIa=arodV31arodV24Aa=arodV29aprependV26arodV22Aa=arodV27V13Ia=V28arodV27Ia=V30arodV29Ia=V32arodV31FItItItLa-V11c1Ia=arodV22aConsV11arodV18Aa=arodV24V12Ia=V23arodV22Ia=V25arodV24FItItIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FItItItLa-V11c1LaConsV11V12LarodV9Ia>V11c0ICtaNila>V33V11aConsVwarodV9ACtaNila>V34V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV5V12ItItItINa>V11c0ICtaNila>V13V11aConsVwarodV9ACtaNila>V14V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV7aprependV11arodV7Ia=arodV5V12ItItItINa>V11c0ICtaNila>V13V11aConsVwarodV9ACtaNila>V14V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
tIa=arodV7aprependV11arodV7Ia=arodV5V12ItItItINa>V11c0ICtaNila>V13V11aConsVwarodV9ACtaNila>V14V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
itAa=arodV7aprependV11arodV7Aa=arodV5V12ItAtItAtItAta=arodV27arodV9Aa=arodV29aprependV11arodV7Aa=arodV31V12ItAtItAtItAtIa=arodV31arodV24Aa=arodV29aprependV26arodV22Aa=arodV27V13Ia=V28arodV27Ia=V30arodV29Ia=V32arodV31FACtaNila>V33V26aConsVwarodV24ACtaNila>V34V26aConsVwarodV22Aa=arodV16aprependV26V13Aa<V26V11Aa<=c0V11ItAtItAtItAtLa-V11c1Ia=arodV22aConsV11arodV18Aa=arodV24V12Ia=V23arodV22Ia=V25arodV24FACtaNila>V35V11aConsVwarodV18Aa=arodV20aConsV11V12ItAtItAtIa=arodV18arodV7Aa=arodV16aprependV15arodV9Aa=arodV20V14Ia=V17arodV16Ia=V19arodV18Ia=V21arodV20FACtaNila>V36V15aConsVwarodV7ACtaNila>V37V15aConsVwarodV9Aa=arodV5aprependV15V14Aa<V15V11Aa<=c0V11ItAtItAtItAtLa-V11c1LaConsV11V12LarodV9a>V11c0ICtaNila>V38V11aConsVwarodV9ACtaNila>V39V11aConsVwarodV7Aa=arodV5aprependV11V12Aa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
VC for hanoi_rec
a=arodV5aprependV12V11ItItItLalengtharodV5LaNilIa=arodV9aNilAa=arodV7arodV9Aa=arodV5aprependalengtharodV5aNilAa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
CtaNila>V13V12aConsVwarodV7Ia=arodV5aprependV12V11ItItItLalengtharodV5LaNilIa=arodV9aNilAa=arodV7arodV9Aa=arodV5aprependalengtharodV5aNilAa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
CtaNila>V13V12aConsVwarodV9ICtaNila>V14V12aConsVwarodV7Ia=arodV5aprependV12V11ItItItLalengtharodV5LaNilIa=arodV9aNilAa=arodV7arodV9Aa=arodV5aprependalengtharodV5aNilAa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV15arodV5ItItItIa=arodV13arodV9Aa=arodV15aprependV12arodV7Aa=arodV17V11Ia=V14arodV13Ia=V16arodV15Ia=V18arodV17FItItItLalengtharodV5LaNilIa=arodV9aNilAa=arodV7arodV9Aa=arodV5aprependalengtharodV5aNilAa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV13aNilAa=arodV17arodV13Ia=arodV15arodV5ItItItIa=arodV13arodV9Aa=arodV15aprependV12arodV7Aa=arodV17V11Ia=V14arodV13Ia=V16arodV15Ia=V18arodV17FItItItLalengtharodV5LaNilIa=arodV9aNilAa=arodV7arodV9Aa=arodV5aprependalengtharodV5aNilAa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
a=arodV13aNilAa=arodV17arodV13Aa=arodV15arodV5ItAtItAtItAtIa=arodV13arodV9Aa=arodV15aprependV12arodV7Aa=arodV17V11Ia=V14arodV13Ia=V16arodV15Ia=V18arodV17FACtaNila>V19V12aConsVwarodV9ACtaNila>V20V12aConsVwarodV7Aa=arodV5aprependV12V11ItAtItAtItAtLalengtharodV5LaNilIa=arodV9aNilAa=arodV7arodV9Aa=arodV5aprependalengtharodV5aNilAa=V10arodV9Aa=V8arodV7Aa=V6arodV5F
VC for tower_of_hanoi
a<V0V2Ia<V1V2Ia<V0V1F
empty_shape
asortedaConsV0V1qasortedV1Aa<V0V2IamemV2V1FF
asorteda++V3V4qa<V5V6IamemV6V4IamemV5V3FAasortedV4AasortedV3F
asorted1aConsV7V8qasorted1V8AageV7V9IamemV9V8FF
asorted1a++V10V11qageV12V13IamemV13V11IamemV12V10FAasorted1V11Aasorted1V10F
acompatV14V15AasortedV15Aasorted1V14qasortedarev_appendV14V15F
acompatV17V16Aasorted1V17AasortedV16qasorted1arev_appendV16V17F
asortedV18E
asortedarodV18FarodV18
asortedV28Ia=V30aConsV25arodV21FIa=V28V26FIa=arodV19aConsV25V26FICtaNila<V23V31aConsVwarodV21Aa=arodV19aConsV23V24Aa=V22arodV21Aa=V20arodV19F
asortedV30Ia=V28arodV27Ia=V30aConsV25arodV21FIa=V28V26FIa=arodV19aConsV25V26FICtaNila<V23V31aConsVwarodV21Aa=arodV19aConsV23V24Aa=V22arodV21Aa=V20arodV19F
a=arodV27V24Ia=V30arodV29Ia=V28arodV27Ia=V30aConsV25arodV21FIa=V28V26FIa=arodV19aConsV25V26FICtaNila<V23V31aConsVwarodV21Aa=arodV19aConsV23V24Aa=V22arodV21Aa=V20arodV19F
a=arodV29aConsV23arodV21Ia=arodV27V24Ia=V30arodV29Ia=V28arodV27Ia=V30aConsV25arodV21FIa=V28V26FIa=arodV19aConsV25V26FICtaNila<V23V31aConsVwarodV21Aa=arodV19aConsV23V24Aa=V22arodV21Aa=V20arodV19F
fIa=arodV19aNilICtaNila<V23V25aConsVwarodV21Aa=arodV19aConsV23V24Aa=V22arodV21Aa=V20arodV19F
Ca=arodV29aConsV23arodV21Aa=arodV27V24Ia=V30arodV29AasortedV30Ia=V28arodV27AasortedV28Ia=V30aConsV25arodV21FIa=V28V26FaConsVVfaNilarodV19ICtaNila<V23V31aConsVwarodV21Aa=arodV19aConsV23V24Aa=V22arodV21Aa=V20arodV19F
fIa=V26aNilLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
a<V32V25Aa<=c0V25ItItItLa-V25c1LaConsV29V27ICa=V30V34Aa=V29V33aConsVVfaNilV26FLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
asorted1V30Aa=alengthV30V32ItItItLa-V25c1LaConsV29V27ICa=V30V34Aa=V29V33aConsVVfaNilV26FLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
a=arodV19arev_appendV30V31Iasorted1V30Aa=alengthV30V32ItItItLa-V25c1LaConsV29V27ICa=V30V34Aa=V29V33aConsVVfaNilV26FLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
acompatV30arodV23Ia=arodV19arev_appendV30V31Iasorted1V30Aa=alengthV30V32ItItItLa-V25c1LaConsV29V27ICa=V30V34Aa=V29V33aConsVVfaNilV26FLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
acompatV30arodV21IacompatV30arodV23Ia=arodV19arev_appendV30V31Iasorted1V30Aa=alengthV30V32ItItItLa-V25c1LaConsV29V27ICa=V30V34Aa=V29V33aConsVVfaNilV26FLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
a=arodV37aConsV29V27ItItIa=arodV35arodV21Aa=arodV33arev_appendV30arodV23Aa=arodV37V31Ia=V34arodV33Ia=V36arodV35Ia=V38arodV37FItItItLa-V25c1LaConsV29V27ICa=V30V40Aa=V29V39aConsVVfaNilV26FLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
CtaNila<V29V39aConsVwarodV35Ia=arodV37aConsV29V27ItItIa=arodV35arodV21Aa=arodV33arev_appendV30arodV23Aa=arodV37V31Ia=V34arodV33Ia=V36arodV35Ia=V38arodV37FItItItLa-V25c1LaConsV29V27ICa=V30V41Aa=V29V40aConsVVfaNilV26FLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
a<V43V25Aa<=c0V25ItItItLa-V25c1Ia=arodV39aConsV29arodV35Aa=arodV41V27Ia=V40arodV39Ia=V42arodV41FItItIa=arodV35arodV21Aa=arodV33arev_appendV30arodV23Aa=arodV37V31Ia=V34arodV33Ia=V36arodV35Ia=V38arodV37FItItItLa-V25c1LaConsV29V27ICa=V30V45Aa=V29V44aConsVVfaNilV26FLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
asorted1V30Aa=alengthV30V43ItItItLa-V25c1Ia=arodV39aConsV29arodV35Aa=arodV41V27Ia=V40arodV39Ia=V42arodV41FItItIa=arodV35arodV21Aa=arodV33arev_appendV30arodV23Aa=arodV37V31Ia=V34arodV33Ia=V36arodV35Ia=V38arodV37FItItItLa-V25c1LaConsV29V27ICa=V30V45Aa=V29V44aConsVVfaNilV26FLarodV23Ia>V25c0IacompatV26arodV23AacompatV26arodV21Aa=arodV19arev_appendV26V27Aasorted1V26Aa=alengthV26V25Aa=V24arodV23Aa=V22arodV21Aa=V20arodV19F
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