a<=c0alengthV0Aa<=c0c0F
loop invariant init
a<=aV0V1aV0V2Ia<V2c0Aa<=V1V2Aa<=c0V1FIa<=c0alengthV0Aa<=c0c0F
apermut_allV0V0Ia<=aV0V1aV0V2Ia<V2c0Aa<=V1V2Aa<=c0V1FIa<=c0alengthV0Aa<=c0c0F
a<V1alengthV2Aa<=c0V1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V3aV2V4Ia<V4V1Aa<=V3V4Aa<=c0V3FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
index in array bounds
a<V3alengthV2Aa<=c0V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V4aV2V5Ia<V5V1Aa<=V4V5Aa<=c0V4FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<a-V1c1V1Aa<=c-1a-V1c1Ia=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V6aV2V7Ia<V7V1Aa<=V6V7Aa<=c0V6FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV2V6aV2V7Ia<=V7a-V1c1Aa<=V6V7Aa<=c0V6FIa<a-V1c1V1Aa<=c-1a-V1c1Ia=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V8aV2V9Ia<V9V1Aa<=V8V9Aa<=c0V8FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV2V6aV2V7Ia<V7a+V1c2Aa<a+a-V1c1c2V7Ia<=V6a-V1c1Aa<=c0V6FIa<=aV2V8aV2V9Ia<=V9a-V1c1Aa<=V8V9Aa<=c0V8FIa<a-V1c1V1Aa<=c-1a-V1c1Ia=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V10aV2V11Ia<V11V1Aa<=V10V11Aa<=c0V10FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV2V6aV2V7Ia<V7a+V1c2Aa<=V6V7Aa<a+a-V1c1c2V6FIa<=aV2V8aV2V9Ia<V9a+V1c2Aa<a+a-V1c1c2V9Ia<=V8a-V1c1Aa<=c0V8FIa<=aV2V10aV2V11Ia<=V11a-V1c1Aa<=V10V11Aa<=c0V10FIa<a-V1c1V1Aa<=c-1a-V1c1Ia=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V12aV2V13Ia<V13V1Aa<=V12V13Aa<=c0V12FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<V4aV2V6Ia<V6a+V1c2Aa<a+a-V1c1c2V6FIa<=aV2V7aV2V8Ia<V8a+V1c2Aa<=V7V8Aa<a+a-V1c1c2V7FIa<=aV2V9aV2V10Ia<V10a+V1c2Aa<a+a-V1c1c2V10Ia<=V9a-V1c1Aa<=c0V9FIa<=aV2V11aV2V12Ia<=V12a-V1c1Aa<=V11V12Aa<=c0V11FIa<a-V1c1V1Aa<=c-1a-V1c1Ia=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V13aV2V14Ia<V14V1Aa<=V13V14Aa<=c0V13FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
apermut_allV0aaV2a+a-V1c1c1V5a+a-V1c1c2V4Ia<V4aV2V6Ia<V6a+V1c2Aa<a+a-V1c1c2V6FIa<=aV2V7aV2V8Ia<V8a+V1c2Aa<=V7V8Aa<a+a-V1c1c2V7FIa<=aV2V9aV2V10Ia<V10a+V1c2Aa<a+a-V1c1c2V10Ia<=V9a-V1c1Aa<=c0V9FIa<=aV2V11aV2V12Ia<=V12a-V1c1Aa<=V11V12Aa<=c0V11FIa<a-V1c1V1Aa<=c-1a-V1c1Ia=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V13aV2V14Ia<V14V1Aa<=V13V14Aa<=c0V13FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<V6alengthV7Aa<=c0V6Ia>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V8Ia<V8a+V1c2Aa<a+V6c2V8FAa<=aV7V9aV7V10Ia<V10a+V1c2Aa<=V9V10Aa<a+V6c2V9FAa<=aV7V11aV7V12Ia<V12a+V1c2Aa<a+V6c2V12Ia<=V11V6Aa<=c0V11FAa<=aV7V13aV7V14Ia<=V14V6Aa<=V13V14Aa<=c0V13FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V15aV2V16Ia<V16V1Aa<=V15V16Aa<=c0V15FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<V6alengthV7Aa<=c0V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V8Ia<V8a+V1c2Aa<a+V6c2V8FAa<=aV7V9aV7V10Ia<V10a+V1c2Aa<=V9V10Aa<a+V6c2V9FAa<=aV7V11aV7V12Ia<V12a+V1c2Aa<a+V6c2V12Ia<=V11V6Aa<=c0V11FAa<=aV7V13aV7V14Ia<=V14V6Aa<=V13V14Aa<=c0V13FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V15aV2V16Ia<V16V1Aa<=V15V16Aa<=c0V15FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<V9alengthV7Aa<=c0V9La+V6c2LaV7V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V10Ia<V10a+V1c2Aa<a+V6c2V10FAa<=aV7V11aV7V12Ia<V12a+V1c2Aa<=V11V12Aa<a+V6c2V11FAa<=aV7V13aV7V14Ia<V14a+V1c2Aa<a+V6c2V14Ia<=V13V6Aa<=c0V13FAa<=aV7V15aV7V16Ia<=V16V6Aa<=V15V16Aa<=c0V15FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V17aV2V18Ia<V18V1Aa<=V17V18Aa<=c0V17FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
aexchangeaV7a+V6c2V4aV10V6V4V6a+V6c2Ia=V10aV7V9V8Aa=aeltsV10asetaeltsV7V9V8Ia=alengthV10alengthV7FLa+V6c2LaV7V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V11Ia<V11a+V1c2Aa<a+V6c2V11FAa<=aV7V12aV7V13Ia<V13a+V1c2Aa<=V12V13Aa<a+V6c2V12FAa<=aV7V14aV7V15Ia<V15a+V1c2Aa<a+V6c2V15Ia<=V14V6Aa<=c0V14FAa<=aV7V16aV7V17Ia<=V17V6Aa<=V16V17Aa<=c0V16FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V18aV2V19Ia<V19V1Aa<=V18V19Aa<=c0V18FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
assertion
aexchangeaaV7a+V6c1V5a+V6c2V4aaV10a+V6c1V5V6V4V6a+V6c2IaexchangeaV7a+V6c2V4aV10V6V4V6a+V6c2Ia=V10aV7V9V8Aa=aeltsV10asetaeltsV7V9V8Ia=alengthV10alengthV7FLa+V6c2LaV7V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V11Ia<V11a+V1c2Aa<a+V6c2V11FAa<=aV7V12aV7V13Ia<V13a+V1c2Aa<=V12V13Aa<a+V6c2V12FAa<=aV7V14aV7V15Ia<V15a+V1c2Aa<a+V6c2V15Ia<=V14V6Aa<=c0V14FAa<=aV7V16aV7V17Ia<=V17V6Aa<=V16V17Aa<=c0V16FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V18aV2V19Ia<V19V1Aa<=V18V19Aa<=c0V18FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
aexchangeaaaV7a+V6c1V5a+V6c2aV10V6V6V4aaaV10V6V5a+V6c1V4a+V6c2aV10V6V6a+V6c1IaexchangeaaV7a+V6c1V5a+V6c2V4aaV10a+V6c1V5V6V4V6a+V6c2IaexchangeaV7a+V6c2V4aV10V6V4V6a+V6c2Ia=V10aV7V9V8Aa=aeltsV10asetaeltsV7V9V8Ia=alengthV10alengthV7FLa+V6c2LaV7V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V11Ia<V11a+V1c2Aa<a+V6c2V11FAa<=aV7V12aV7V13Ia<V13a+V1c2Aa<=V12V13Aa<a+V6c2V12FAa<=aV7V14aV7V15Ia<V15a+V1c2Aa<a+V6c2V15Ia<=V14V6Aa<=c0V14FAa<=aV7V16aV7V17Ia<=V17V6Aa<=V16V17Aa<=c0V16FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V18aV2V19Ia<V19V1Aa<=V18V19Aa<=c0V18FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<V11V6Aa<=c0V6Ia=V11a-V6c1FIaexchangeaaaV7a+V6c1V5a+V6c2aV10V6V6V4aaaV10V6V5a+V6c1V4a+V6c2aV10V6V6a+V6c1IaexchangeaaV7a+V6c1V5a+V6c2V4aaV10a+V6c1V5V6V4V6a+V6c2IaexchangeaV7a+V6c2V4aV10V6V4V6a+V6c2Ia=V10aV7V9V8Aa=aeltsV10asetaeltsV7V9V8Ia=alengthV10alengthV7FLa+V6c2LaV7V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V12Ia<V12a+V1c2Aa<a+V6c2V12FAa<=aV7V13aV7V14Ia<V14a+V1c2Aa<=V13V14Aa<a+V6c2V13FAa<=aV7V15aV7V16Ia<V16a+V1c2Aa<a+V6c2V16Ia<=V15V6Aa<=c0V15FAa<=aV7V17aV7V18Ia<=V18V6Aa<=V17V18Aa<=c0V17FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V19aV2V20Ia<V20V1Aa<=V19V20Aa<=c0V19FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
loop variant decrease
a<V11V1Aa<=c-1V11Ia=V11a-V6c1FIaexchangeaaaV7a+V6c1V5a+V6c2aV10V6V6V4aaaV10V6V5a+V6c1V4a+V6c2aV10V6V6a+V6c1IaexchangeaaV7a+V6c1V5a+V6c2V4aaV10a+V6c1V5V6V4V6a+V6c2IaexchangeaV7a+V6c2V4aV10V6V4V6a+V6c2Ia=V10aV7V9V8Aa=aeltsV10asetaeltsV7V9V8Ia=alengthV10alengthV7FLa+V6c2LaV7V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V12Ia<V12a+V1c2Aa<a+V6c2V12FAa<=aV7V13aV7V14Ia<V14a+V1c2Aa<=V13V14Aa<a+V6c2V13FAa<=aV7V15aV7V16Ia<V16a+V1c2Aa<a+V6c2V16Ia<=V15V6Aa<=c0V15FAa<=aV7V17aV7V18Ia<=V18V6Aa<=V17V18Aa<=c0V17FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V19aV2V20Ia<V20V1Aa<=V19V20Aa<=c0V19FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
loop invariant preservation
a<=aV10V12aV10V13Ia<=V13V11Aa<=V12V13Aa<=c0V12FIa<V11V1Aa<=c-1V11Ia=V11a-V6c1FIaexchangeaaaV7a+V6c1V5a+V6c2aV10V6V6V4aaaV10V6V5a+V6c1V4a+V6c2aV10V6V6a+V6c1IaexchangeaaV7a+V6c1V5a+V6c2V4aaV10a+V6c1V5V6V4V6a+V6c2IaexchangeaV7a+V6c2V4aV10V6V4V6a+V6c2Ia=V10aV7V9V8Aa=aeltsV10asetaeltsV7V9V8Ia=alengthV10alengthV7FLa+V6c2LaV7V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V14Ia<V14a+V1c2Aa<a+V6c2V14FAa<=aV7V15aV7V16Ia<V16a+V1c2Aa<=V15V16Aa<a+V6c2V15FAa<=aV7V17aV7V18Ia<V18a+V1c2Aa<a+V6c2V18Ia<=V17V6Aa<=c0V17FAa<=aV7V19aV7V20Ia<=V20V6Aa<=V19V20Aa<=c0V19FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V21aV2V22Ia<V22V1Aa<=V21V22Aa<=c0V21FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV10V12aV10V13Ia<V13a+V1c2Aa<a+V11c2V13Ia<=V12V11Aa<=c0V12FIa<=aV10V14aV10V15Ia<=V15V11Aa<=V14V15Aa<=c0V14FIa<V11V1Aa<=c-1V11Ia=V11a-V6c1FIaexchangeaaaV7a+V6c1V5a+V6c2aV10V6V6V4aaaV10V6V5a+V6c1V4a+V6c2aV10V6V6a+V6c1IaexchangeaaV7a+V6c1V5a+V6c2V4aaV10a+V6c1V5V6V4V6a+V6c2IaexchangeaV7a+V6c2V4aV10V6V4V6a+V6c2Ia=V10aV7V9V8Aa=aeltsV10asetaeltsV7V9V8Ia=alengthV10alengthV7FLa+V6c2LaV7V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V16Ia<V16a+V1c2Aa<a+V6c2V16FAa<=aV7V17aV7V18Ia<V18a+V1c2Aa<=V17V18Aa<a+V6c2V17FAa<=aV7V19aV7V20Ia<V20a+V1c2Aa<a+V6c2V20Ia<=V19V6Aa<=c0V19FAa<=aV7V21aV7V22Ia<=V22V6Aa<=V21V22Aa<=c0V21FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V23aV2V24Ia<V24V1Aa<=V23V24Aa<=c0V23FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV10V12aV10V13Ia<V13a+V1c2Aa<=V12V13Aa<a+V11c2V12FIa<=aV10V14aV10V15Ia<V15a+V1c2Aa<a+V11c2V15Ia<=V14V11Aa<=c0V14FIa<=aV10V16aV10V17Ia<=V17V11Aa<=V16V17Aa<=c0V16FIa<V11V1Aa<=c-1V11Ia=V11a-V6c1FIaexchangeaaaV7a+V6c1V5a+V6c2aV10V6V6V4aaaV10V6V5a+V6c1V4a+V6c2aV10V6V6a+V6c1IaexchangeaaV7a+V6c1V5a+V6c2V4aaV10a+V6c1V5V6V4V6a+V6c2IaexchangeaV7a+V6c2V4aV10V6V4V6a+V6c2Ia=V10aV7V9V8Aa=aeltsV10asetaeltsV7V9V8Ia=alengthV10alengthV7FLa+V6c2LaV7V6Ia>aV7V6V4Aa>=V6c0Iapermut_allV0aaV7a+V6c1V5a+V6c2V4Aa<V4aV7V18Ia<V18a+V1c2Aa<a+V6c2V18FAa<=aV7V19aV7V20Ia<V20a+V1c2Aa<=V19V20Aa<a+V6c2V19FAa<=aV7V21aV7V22Ia<V22a+V1c2Aa<a+V6c2V22Ia<=V21V6Aa<=c0V21FAa<=aV7V23aV7V24Ia<=V24V6Aa<=V23V24Aa<=c0V23FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FIa=V5aV2V1FIa=V4aV2V3FIa<aV2V1aV2V3La+V1c1Ia<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V25aV2V26Ia<V26V1Aa<=V25V26Aa<=c0V25FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
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a<V9V1Aa<=c-1V9Ia=V9a-V4c1FIaexchangeaV5a+V4c1V3aV8V4V3V4a+V4c1Ia=V8aV5V7V6Aa=aeltsV8asetaeltsV5V7V6Ia=alengthV8alengthV5FLa+V4c1LaV5V4Ia>aV5V4V3Aa>=V4c0Iapermut_allV0aV5a+V4c1V3Aa<V3aV5V10Ia<V10alengthV5Aa<a+V4c1V10FAa<=aV5V11aV5V12Ia<V12alengthV5Aa<=V11V12Aa<a+V4c1V11FAa<=aV5V13aV5V14Ia<V14alengthV5Aa<a+V4c1V14Ia<=V13V4Aa<=c0V13FAa<=aV5V15aV5V16Ia<=V16V4Aa<=V15V16Aa<=c0V15FAa<V4V1Aa<=c-1V4Ia=alengthV5alengthV2FLaV2V1Ia=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V17aV2V18Ia<V18V1Aa<=V17V18Aa<=c0V17FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV8V10aV8V11Ia<=V11V9Aa<=V10V11Aa<=c0V10FIa<V9V1Aa<=c-1V9Ia=V9a-V4c1FIaexchangeaV5a+V4c1V3aV8V4V3V4a+V4c1Ia=V8aV5V7V6Aa=aeltsV8asetaeltsV5V7V6Ia=alengthV8alengthV5FLa+V4c1LaV5V4Ia>aV5V4V3Aa>=V4c0Iapermut_allV0aV5a+V4c1V3Aa<V3aV5V12Ia<V12alengthV5Aa<a+V4c1V12FAa<=aV5V13aV5V14Ia<V14alengthV5Aa<=V13V14Aa<a+V4c1V13FAa<=aV5V15aV5V16Ia<V16alengthV5Aa<a+V4c1V16Ia<=V15V4Aa<=c0V15FAa<=aV5V17aV5V18Ia<=V18V4Aa<=V17V18Aa<=c0V17FAa<V4V1Aa<=c-1V4Ia=alengthV5alengthV2FLaV2V1Ia=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V19aV2V20Ia<V20V1Aa<=V19V20Aa<=c0V19FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV8V10aV8V11Ia<V11alengthV8Aa<a+V9c1V11Ia<=V10V9Aa<=c0V10FIa<=aV8V12aV8V13Ia<=V13V9Aa<=V12V13Aa<=c0V12FIa<V9V1Aa<=c-1V9Ia=V9a-V4c1FIaexchangeaV5a+V4c1V3aV8V4V3V4a+V4c1Ia=V8aV5V7V6Aa=aeltsV8asetaeltsV5V7V6Ia=alengthV8alengthV5FLa+V4c1LaV5V4Ia>aV5V4V3Aa>=V4c0Iapermut_allV0aV5a+V4c1V3Aa<V3aV5V14Ia<V14alengthV5Aa<a+V4c1V14FAa<=aV5V15aV5V16Ia<V16alengthV5Aa<=V15V16Aa<a+V4c1V15FAa<=aV5V17aV5V18Ia<V18alengthV5Aa<a+V4c1V18Ia<=V17V4Aa<=c0V17FAa<=aV5V19aV5V20Ia<=V20V4Aa<=V19V20Aa<=c0V19FAa<V4V1Aa<=c-1V4Ia=alengthV5alengthV2FLaV2V1Ia=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V21aV2V22Ia<V22V1Aa<=V21V22Aa<=c0V21FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV8V10aV8V11Ia<V11alengthV8Aa<=V10V11Aa<a+V9c1V10FIa<=aV8V12aV8V13Ia<V13alengthV8Aa<a+V9c1V13Ia<=V12V9Aa<=c0V12FIa<=aV8V14aV8V15Ia<=V15V9Aa<=V14V15Aa<=c0V14FIa<V9V1Aa<=c-1V9Ia=V9a-V4c1FIaexchangeaV5a+V4c1V3aV8V4V3V4a+V4c1Ia=V8aV5V7V6Aa=aeltsV8asetaeltsV5V7V6Ia=alengthV8alengthV5FLa+V4c1LaV5V4Ia>aV5V4V3Aa>=V4c0Iapermut_allV0aV5a+V4c1V3Aa<V3aV5V16Ia<V16alengthV5Aa<a+V4c1V16FAa<=aV5V17aV5V18Ia<V18alengthV5Aa<=V17V18Aa<a+V4c1V17FAa<=aV5V19aV5V20Ia<V20alengthV5Aa<a+V4c1V20Ia<=V19V4Aa<=c0V19FAa<=aV5V21aV5V22Ia<=V22V4Aa<=V21V22Aa<=c0V21FAa<V4V1Aa<=c-1V4Ia=alengthV5alengthV2FLaV2V1Ia=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V23aV2V24Ia<V24V1Aa<=V23V24Aa<=c0V23FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<V3aV8V10Ia<V10alengthV8Aa<a+V9c1V10FIa<=aV8V11aV8V12Ia<V12alengthV8Aa<=V11V12Aa<a+V9c1V11FIa<=aV8V13aV8V14Ia<V14alengthV8Aa<a+V9c1V14Ia<=V13V9Aa<=c0V13FIa<=aV8V15aV8V16Ia<=V16V9Aa<=V15V16Aa<=c0V15FIa<V9V1Aa<=c-1V9Ia=V9a-V4c1FIaexchangeaV5a+V4c1V3aV8V4V3V4a+V4c1Ia=V8aV5V7V6Aa=aeltsV8asetaeltsV5V7V6Ia=alengthV8alengthV5FLa+V4c1LaV5V4Ia>aV5V4V3Aa>=V4c0Iapermut_allV0aV5a+V4c1V3Aa<V3aV5V17Ia<V17alengthV5Aa<a+V4c1V17FAa<=aV5V18aV5V19Ia<V19alengthV5Aa<=V18V19Aa<a+V4c1V18FAa<=aV5V20aV5V21Ia<V21alengthV5Aa<a+V4c1V21Ia<=V20V4Aa<=c0V20FAa<=aV5V22aV5V23Ia<=V23V4Aa<=V22V23Aa<=c0V22FAa<V4V1Aa<=c-1V4Ia=alengthV5alengthV2FLaV2V1Ia=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V24aV2V25Ia<V25V1Aa<=V24V25Aa<=c0V24FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
apermut_allV0aV8a+V9c1V3Ia<V3aV8V10Ia<V10alengthV8Aa<a+V9c1V10FIa<=aV8V11aV8V12Ia<V12alengthV8Aa<=V11V12Aa<a+V9c1V11FIa<=aV8V13aV8V14Ia<V14alengthV8Aa<a+V9c1V14Ia<=V13V9Aa<=c0V13FIa<=aV8V15aV8V16Ia<=V16V9Aa<=V15V16Aa<=c0V15FIa<V9V1Aa<=c-1V9Ia=V9a-V4c1FIaexchangeaV5a+V4c1V3aV8V4V3V4a+V4c1Ia=V8aV5V7V6Aa=aeltsV8asetaeltsV5V7V6Ia=alengthV8alengthV5FLa+V4c1LaV5V4Ia>aV5V4V3Aa>=V4c0Iapermut_allV0aV5a+V4c1V3Aa<V3aV5V17Ia<V17alengthV5Aa<a+V4c1V17FAa<=aV5V18aV5V19Ia<V19alengthV5Aa<=V18V19Aa<a+V4c1V18FAa<=aV5V20aV5V21Ia<V21alengthV5Aa<a+V4c1V21Ia<=V20V4Aa<=c0V20FAa<=aV5V22aV5V23Ia<=V23V4Aa<=V22V23Aa<=c0V22FAa<V4V1Aa<=c-1V4Ia=alengthV5alengthV2FLaV2V1Ia=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V24aV2V25Ia<V25V1Aa<=V24V25Aa<=c0V24FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<V6alengthV5Aa<=c0V6La+V4c1INa>aV5V4V3Aa>=V4c0Iapermut_allV0aV5a+V4c1V3Aa<V3aV5V7Ia<V7alengthV5Aa<a+V4c1V7FAa<=aV5V8aV5V9Ia<V9alengthV5Aa<=V8V9Aa<a+V4c1V8FAa<=aV5V10aV5V11Ia<V11alengthV5Aa<a+V4c1V11Ia<=V10V4Aa<=c0V10FAa<=aV5V12aV5V13Ia<=V13V4Aa<=V12V13Aa<=c0V12FAa<V4V1Aa<=c-1V4Ia=alengthV5alengthV2FLaV2V1Ia=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V14aV2V15Ia<V15V1Aa<=V14V15Aa<=c0V14FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV7V8aV7V9Ia<V9alengthV7Aa<=V8V9Aa<=c0V8FIa=V7aV5V6V3Aa=aeltsV7asetaeltsV5V6V3Ia=alengthV7alengthV5FLa+V4c1INa>aV5V4V3Aa>=V4c0Iapermut_allV0aV5a+V4c1V3Aa<V3aV5V10Ia<V10alengthV5Aa<a+V4c1V10FAa<=aV5V11aV5V12Ia<V12alengthV5Aa<=V11V12Aa<a+V4c1V11FAa<=aV5V13aV5V14Ia<V14alengthV5Aa<a+V4c1V14Ia<=V13V4Aa<=c0V13FAa<=aV5V15aV5V16Ia<=V16V4Aa<=V15V16Aa<=c0V15FAa<V4V1Aa<=c-1V4Ia=alengthV5alengthV2FLaV2V1Ia=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V17aV2V18Ia<V18V1Aa<=V17V18Aa<=c0V17FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
postcondition
apermut_allV0V7Ia<=aV7V8aV7V9Ia<V9alengthV7Aa<=V8V9Aa<=c0V8FIa=V7aV5V6V3Aa=aeltsV7asetaeltsV5V6V3Ia=alengthV7alengthV5FLa+V4c1INa>aV5V4V3Aa>=V4c0Iapermut_allV0aV5a+V4c1V3Aa<V3aV5V10Ia<V10alengthV5Aa<a+V4c1V10FAa<=aV5V11aV5V12Ia<V12alengthV5Aa<=V11V12Aa<a+V4c1V11FAa<=aV5V13aV5V14Ia<V14alengthV5Aa<a+V4c1V14Ia<=V13V4Aa<=c0V13FAa<=aV5V15aV5V16Ia<=V16V4Aa<=V15V16Aa<=c0V15FAa<V4V1Aa<=c-1V4Ia=alengthV5alengthV2FLaV2V1Ia=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V17aV2V18Ia<V18V1Aa<=V17V18Aa<=c0V17FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
a<=aV2V3aV2V4Ia<V4alengthV2Aa<=V3V4Aa<=c0V3FINa=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V5aV2V6Ia<V6V1Aa<=V5V6Aa<=c0V5FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
apermut_allV0V2Ia<=aV2V3aV2V4Ia<V4alengthV2Aa<=V3V4Aa<=c0V3FINa=V1a-alengthV2c1INa<V1a-alengthV2c1Iapermut_allV0V2Aa<=aV2V5aV2V6Ia<V6V1Aa<=V5V6Aa<=c0V5FAa<=V1alengthV2Aa<=c0V1Ia=alengthV2alengthV0FF
iiapermut_allV0V2Aa<=aV2V3aV2V4Ia<V4alengthV2Aa<=V3V4Aa<=c0V3Fiapermut_allV0V9Aa<=aV9V10aV9V11Ia<V11alengthV9Aa<=V10V11Aa<=c0V10FIa=V9aV7V8V5Aa=aeltsV9asetaeltsV7V8V5Ia=alengthV9alengthV7FAa<V8alengthV7Aa<=c0V8La+V6c1apermut_allV0aV14a+V15c1V5Aa<V5aV14V16Ia<V16alengthV14Aa<a+V15c1V16FAa<=aV14V17aV14V18Ia<V18alengthV14Aa<=V17V18Aa<a+V15c1V17FAa<=aV14V19aV14V20Ia<V20alengthV14Aa<a+V15c1V20Ia<=V19V15Aa<=c0V19FAa<=aV14V21aV14V22Ia<=V22V15Aa<=V21V22Aa<=c0V21FAa<V15V1Aa<=c-1V15Aa<V15V6Aa<=c0V6Ia=V15a-V6c1FAaexchangeaV7a+V6c1V5aV14V6V5V6a+V6c1Ia=V14aV7V13V12Aa=aeltsV14asetaeltsV7V13V12Ia=alengthV14alengthV7FAa<V13alengthV7Aa<=c0V13La+V6c1LaV7V6Aa<V6alengthV7Aa<=c0V6a>aV7V6V5Aa>=V6c0Aa<V6alengthV7Aa<=c0V6Ia>=V6c0Iapermut_allV0aV7a+V6c1V5Aa<V5aV7V23Ia<V23alengthV7Aa<a+V6c1V23FAa<=aV7V24aV7V25Ia<V25alengthV7Aa<=V24V25Aa<a+V6c1V24FAa<=aV7V26aV7V27Ia<V27alengthV7Aa<a+V6c1V27Ia<=V26V6Aa<=c0V26FAa<=aV7V28aV7V29Ia<=V29V6Aa<=V28V29Aa<=c0V28FAa<V6V1Aa<=c-1V6Ia=alengthV7alengthV2FAapermut_allV0aV2a+a-V1c1c1V5Aa<V5aV2V30Ia<V30a
VC for pair_insertion_sort

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