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Andrei Paskevich
2013-09-20 11:25:39 +02:00
parent fda65f6baf
commit 717baeab10
56 changed files with 4927 additions and 5219 deletions
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examples/decrease1/why3session.xml
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@@ -66,10 +66,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="VC for search"
sum="4923971c376ad538227fb52b84e48c2f"
sum="432eb962f15c45688a83c09cce32117a"
proved="true"
expanded="true"
shape="iNainfix =agetV1V4c0Iainfix <V4V3Aainfix <=c0V4FAainfix =agetV1V3c0Aainfix <V3V0Aainfix <=c0V3ONainfix =agetV1V5c0Iainfix <V5V0Aainfix <=c0V5FAainfix =V3aprefix -c1Laprefix -c1iiainfix <ainfix -V0V6ainfix -V0V2Aainfix <=c0ainfix -V0V2ANainfix =agetV1V7c0Iainfix <V7V0Iainfix <V7V6Aainfix <=c0V7FAainfix <=c0V6Iainfix =V6ainfix +V2c1Fainfix <ainfix -V0V8ainfix -V0V2Aainfix <=c0ainfix -V0V2ANainfix =agetV1V9c0Iainfix <V9V0Iainfix <V9V8Aainfix <=c0V9FAainfix <=c0V8Iainfix =V8ainfix +V2agetV1V2FAainfix <V2V0Aainfix <=c0V2ainfix >agetV1V2c0Aainfix <V2V0Aainfix <=c0V2Nainfix =agetV1V10c0Iainfix <V10V2Aainfix <=c0V10FAainfix =agetV1V2c0Aainfix <V2V0Aainfix <=c0V2ONainfix =agetV1V11c0Iainfix <V11V0Aainfix <=c0V11FAainfix =V2aprefix -c1ainfix =agetV1V2c0Aainfix <V2V0Aainfix <=c0V2ainfix <V2V0INainfix =agetV1V12c0Iainfix <V12V0Iainfix <V12V2Aainfix <=c0V12FAainfix <=c0V2FANainfix =agetV1V13c0Iainfix <V13V0Iainfix <V13c0Aainfix <=c0V13FAainfix <=c0c0Iadecrease1amk arrayV0V1Aainfix <=c0V0FF">
shape="iNainfix =agetV1V4c0Iainfix <V4V3Aainfix <=c0V4FAainfix =agetV1V3c0Aainfix <V3V0Aainfix <=c0V3ONainfix =agetV1V5c0Iainfix <V5V0Aainfix <=c0V5FAainfix =V3aprefix -c1Laprefix -c1iiainfix <ainfix -V0V6ainfix -V0V2Aainfix <=c0ainfix -V0V2ANainfix =agetV1V7c0Iainfix <V7V0Iainfix <V7V6Aainfix <=c0V7FAainfix <=c0V6Iainfix =V6ainfix +V2c1Fainfix <ainfix -V0V8ainfix -V0V2Aainfix <=c0ainfix -V0V2ANainfix =agetV1V9c0Iainfix <V9V0Iainfix <V9V8Aainfix <=c0V9FAainfix <=c0V8Iainfix =V8ainfix +V2agetV1V2FAainfix <V2V0Aainfix <=c0V2ainfix >agetV1V2c0Aainfix <V2V0Aainfix <=c0V2Nainfix =agetV1V10c0Iainfix <V10V2Aainfix <=c0V10FAainfix =agetV1V2c0Aainfix <V2V0Aainfix <=c0V2ONainfix =agetV1V11c0Iainfix <V11V0Aainfix <=c0V11FAainfix =V2aprefix -c1ainfix =agetV1V2c0Aainfix <V2V0Aainfix <=c0V2ainfix <V2V0INainfix =agetV1V12c0Iainfix <V12V0Iainfix <V12V2Aainfix <=c0V12FAainfix <=c0V2FANainfix =agetV1V13c0Iainfix <V13V0Iainfix <V13c0Aainfix <=c0V13FAainfix <=c0c0Iadecrease1amk arrayV0V1Aainfix <=c0V0F">
<label
name="expl:VC for search"/>
<transf
@@ -81,10 +81,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="1. loop invariant init"
sum="0f677f6e5878932b6f5e68d2dde4e806"
sum="177384f95b6c69a9ae178b70de56f30d"
proved="true"
expanded="true"
shape="loop invariant initainfix &lt;=c0c0Iadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="loop invariant initainfix &lt;=c0c0Iadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -125,10 +125,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="2. loop invariant init"
sum="bf9bea33333c81acbd62dd9e822c28d5"
sum="120d7534ff26ca65a761f882f8f7d6e9"
proved="true"
expanded="true"
shape="loop invariant initNainfix =agetV1V2c0Iainfix &lt;V2V0Iainfix &lt;V2c0Aainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="loop invariant initNainfix =agetV1V2c0Iainfix &lt;V2V0Iainfix &lt;V2c0Aainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -185,10 +185,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="3. precondition"
sum="6e10ffa930a9247484a8d3b5bc6e8fc9"
sum="1c574eff0a09304a0c8070623f82e079"
proved="true"
expanded="true"
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -245,10 +245,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="4. postcondition"
sum="ac1c500a899e088f3cc22a6dea4f2545"
sum="e41b716e831b2628beacc56018aa4108"
proved="true"
expanded="true"
shape="postconditionNainfix =agetV1V3c0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2ONainfix =agetV1V4c0Iainfix &lt;V4V0Aainfix &lt;=c0V4FAainfix =V2aprefix -c1Iainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V5c0Iainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="postconditionNainfix =agetV1V3c0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2ONainfix =agetV1V4c0Iainfix &lt;V4V0Aainfix &lt;=c0V4FAainfix =V2aprefix -c1Iainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V5c0Iainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -305,10 +305,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="5. precondition"
sum="b0ecf542aeb595bcc9d72705dd7d1f08"
sum="ea6b13b7597106808970f7e14c076261"
proved="true"
expanded="true"
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -365,10 +365,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="6. precondition"
sum="f67a9bb099a62016844038058ce6532d"
sum="c122160bb3c4251395a160d927155eaa"
proved="true"
expanded="true"
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V3c0Iainfix &lt;V3V0Iainfix &lt;V3V2Aainfix &lt;=c0V3FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -425,10 +425,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="7. loop invariant preservation"
sum="a9c455e5ece3ab791d01792d2a6b2573"
sum="2c8a28e6d104c7c529dcbfc803552a5c"
proved="true"
expanded="true"
shape="loop invariant preservationainfix &lt;=c0V3Iainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="loop invariant preservationainfix &lt;=c0V3Iainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -469,10 +469,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="8. loop invariant preservation"
sum="fb2ceb617785db96ac82eb951558792a"
sum="a26d567c2205ea9bf3be0f4e727878ae"
proved="true"
expanded="true"
shape="loop invariant preservationNainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V3Aainfix &lt;=c0V4FIainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V5c0Iainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="loop invariant preservationNainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V3Aainfix &lt;=c0V4FIainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V5c0Iainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -505,10 +505,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="9. loop variant decrease"
sum="c7018e11e55e41dd6164611fb33ed7a1"
sum="980f577891151aed17784b10a6792f6c"
proved="true"
expanded="true"
shape="loop variant decreaseainfix &lt;ainfix -V0V3ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Iainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="loop variant decreaseainfix &lt;ainfix -V0V3ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Iainfix =V3ainfix +V2agetV1V2FIainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -565,10 +565,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="10. loop invariant preservation"
sum="d64bac13008c5a9a09c1b94254bae286"
sum="c7802c4eab2ad6262e4ebf30f372f453"
proved="true"
expanded="true"
shape="loop invariant preservationainfix &lt;=c0V3Iainfix =V3ainfix +V2c1FINainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="loop invariant preservationainfix &lt;=c0V3Iainfix =V3ainfix +V2c1FINainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -609,10 +609,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="11. loop invariant preservation"
sum="38dd53b8c00a9987780b03be3177ccc3"
sum="724ac7f902af41bf2111e00f3e9bc04a"
proved="true"
expanded="true"
shape="loop invariant preservationNainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V3Aainfix &lt;=c0V4FIainfix =V3ainfix +V2c1FINainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V5c0Iainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="loop invariant preservationNainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V3Aainfix &lt;=c0V4FIainfix =V3ainfix +V2c1FINainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V5c0Iainfix &lt;V5V0Iainfix &lt;V5V2Aainfix &lt;=c0V5FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -653,10 +653,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="12. loop variant decrease"
sum="13ca0fc91a7b1801bc57c61a19793c51"
sum="2b4eee16aa33004b1da73593b1dd9d33"
proved="true"
expanded="true"
shape="loop variant decreaseainfix &lt;ainfix -V0V3ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Iainfix =V3ainfix +V2c1FINainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="loop variant decreaseainfix &lt;ainfix -V0V3ainfix -V0V2Aainfix &lt;=c0ainfix -V0V2Iainfix =V3ainfix +V2c1FINainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0INainfix =agetV1V4c0Iainfix &lt;V4V0Iainfix &lt;V4V2Aainfix &lt;=c0V4FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -713,10 +713,10 @@
locfile="../decrease1.mlw"
loclnum="23" loccnumb="6" loccnume="12"
expl="13. postcondition"
sum="30be3e3d603eef4ee28cd9b2f988917b"
sum="2ede907bf8509614a99f9b8d8dc31135"
proved="true"
expanded="true"
shape="postconditionNainfix =agetV1V4c0Iainfix &lt;V4V3Aainfix &lt;=c0V4FAainfix =agetV1V3c0Aainfix &lt;V3V0Aainfix &lt;=c0V3ONainfix =agetV1V5c0Iainfix &lt;V5V0Aainfix &lt;=c0V5FAainfix =V3aprefix -c1Laprefix -c1INainfix &lt;V2V0INainfix =agetV1V6c0Iainfix &lt;V6V0Iainfix &lt;V6V2Aainfix &lt;=c0V6FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0FF">
shape="postconditionNainfix =agetV1V4c0Iainfix &lt;V4V3Aainfix &lt;=c0V4FAainfix =agetV1V3c0Aainfix &lt;V3V0Aainfix &lt;=c0V3ONainfix =agetV1V5c0Iainfix &lt;V5V0Aainfix &lt;=c0V5FAainfix =V3aprefix -c1Laprefix -c1INainfix &lt;V2V0INainfix =agetV1V6c0Iainfix &lt;V6V0Iainfix &lt;V6V2Aainfix &lt;=c0V6FAainfix &lt;=c0V2FIadecrease1amk arrayV0V1Aainfix &lt;=c0V0F">
<label
name="expl:VC for search"/>
<proof
@@ -775,10 +775,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="VC for search_rec"
sum="a4304a6fa3a12f91713d18419b7b14cd"
sum="24f452d096c6437d266af5d53d310313"
proved="true"
expanded="true"
shape="iNainfix =agetV2V5c0Iainfix &lt;V5V4Aainfix &lt;=V1V5FAainfix =agetV2V4c0Aainfix &lt;V4V0Aainfix &lt;=V1V4ONainfix =agetV2V6c0Iainfix &lt;V6V0Aainfix &lt;=V1V6FAainfix =V4aprefix -c1Laprefix -c1iiNainfix =agetV2V9c0Iainfix &lt;V9V8Aainfix &lt;=V1V9FAainfix =agetV2V8c0Aainfix &lt;V8V0Aainfix &lt;=V1V8ONainfix =agetV2V10c0Iainfix &lt;V10V0Aainfix &lt;=V1V10FAainfix =V8aprefix -c1INainfix =agetV2V11c0Iainfix &lt;V11V8Aainfix &lt;=V7V11FAainfix =agetV2V8c0Aainfix &lt;V8V0Aainfix &lt;=V7V8ONainfix =agetV2V12c0Iainfix &lt;V12V0Aainfix &lt;=V7V12FAainfix =V8aprefix -c1FAainfix &lt;=c0V7Aadecrease1V3Lainfix +V1c1Nainfix =agetV2V15c0Iainfix &lt;V15V14Aainfix &lt;=V1V15FAainfix =agetV2V14c0Aainfix &lt;V14V0Aainfix &lt;=V1V14ONainfix =agetV2V16c0Iainfix &lt;V16V0Aainfix &lt;=V1V16FAainfix =V14aprefix -c1INainfix =agetV2V17c0Iainfix &lt;V17V14Aainfix &lt;=V13V17FAainfix =agetV2V14c0Aainfix &lt;V14V0Aainfix &lt;=V13V14ONainfix =agetV2V18c0Iainfix &lt;V18V0Aainfix &lt;=V13V18FAainfix =V14aprefix -c1FAainfix &lt;=c0V13Aadecrease1V3Lainfix +V1agetV2V1Aainfix &lt;V1V0Aainfix &lt;=c0V1ainfix &gt;agetV2V1c0Aainfix &lt;V1V0Aainfix &lt;=c0V1Nainfix =agetV2V19c0Iainfix &lt;V19V1Aainfix &lt;=V1V19FAainfix =agetV2V1c0Aainfix &lt;V1V0Aainfix &lt;=V1V1ONainfix =agetV2V20c0Iainfix &lt;V20V0Aainfix &lt;=V1V20FAainfix =V1aprefix -c1ainfix =agetV2V1c0Aainfix &lt;V1V0Aainfix &lt;=c0V1ainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="iNainfix =agetV1V5c0Iainfix &lt;V5V4Aainfix &lt;=V2V5FAainfix =agetV1V4c0Aainfix &lt;V4V0Aainfix &lt;=V2V4ONainfix =agetV1V6c0Iainfix &lt;V6V0Aainfix &lt;=V2V6FAainfix =V4aprefix -c1Laprefix -c1iiNainfix =agetV1V9c0Iainfix &lt;V9V8Aainfix &lt;=V2V9FAainfix =agetV1V8c0Aainfix &lt;V8V0Aainfix &lt;=V2V8ONainfix =agetV1V10c0Iainfix &lt;V10V0Aainfix &lt;=V2V10FAainfix =V8aprefix -c1INainfix =agetV1V11c0Iainfix &lt;V11V8Aainfix &lt;=V7V11FAainfix =agetV1V8c0Aainfix &lt;V8V0Aainfix &lt;=V7V8ONainfix =agetV1V12c0Iainfix &lt;V12V0Aainfix &lt;=V7V12FAainfix =V8aprefix -c1FAainfix &lt;=c0V7Aadecrease1V3Lainfix +V2c1Nainfix =agetV1V15c0Iainfix &lt;V15V14Aainfix &lt;=V2V15FAainfix =agetV1V14c0Aainfix &lt;V14V0Aainfix &lt;=V2V14ONainfix =agetV1V16c0Iainfix &lt;V16V0Aainfix &lt;=V2V16FAainfix =V14aprefix -c1INainfix =agetV1V17c0Iainfix &lt;V17V14Aainfix &lt;=V13V17FAainfix =agetV1V14c0Aainfix &lt;V14V0Aainfix &lt;=V13V14ONainfix =agetV1V18c0Iainfix &lt;V18V0Aainfix &lt;=V13V18FAainfix =V14aprefix -c1FAainfix &lt;=c0V13Aadecrease1V3Lainfix +V2agetV1V2Aainfix &lt;V2V0Aainfix &lt;=c0V2ainfix &gt;agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2Nainfix =agetV1V19c0Iainfix &lt;V19V2Aainfix &lt;=V2V19FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=V2V2ONainfix =agetV1V20c0Iainfix &lt;V20V0Aainfix &lt;=V2V20FAainfix =V2aprefix -c1ainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=c0V2ainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<transf
@@ -790,10 +790,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="1. precondition"
sum="8b6337ef5b81767178dad479e89c73a7"
sum="bb3c05c010970df8195be101e6f8c444"
proved="true"
expanded="true"
shape="preconditionainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
@@ -850,10 +850,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="2. postcondition"
sum="9fc2728adc29b09f9f4dce19b09e4bf2"
sum="695a251b998964cb41a1a64b2358a5bf"
proved="true"
expanded="true"
shape="postconditionNainfix =agetV2V4c0Iainfix &lt;V4V1Aainfix &lt;=V1V4FAainfix =agetV2V1c0Aainfix &lt;V1V0Aainfix &lt;=V1V1ONainfix =agetV2V5c0Iainfix &lt;V5V0Aainfix &lt;=V1V5FAainfix =V1aprefix -c1Iainfix =agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="postconditionNainfix =agetV1V4c0Iainfix &lt;V4V2Aainfix &lt;=V2V4FAainfix =agetV1V2c0Aainfix &lt;V2V0Aainfix &lt;=V2V2ONainfix =agetV1V5c0Iainfix &lt;V5V0Aainfix &lt;=V2V5FAainfix =V2aprefix -c1Iainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
@@ -910,10 +910,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="3. precondition"
sum="4737519760f3e56279e0457ee7c90f15"
sum="3b059aa1f02b6aa0c3869ab25da3075f"
proved="true"
expanded="true"
shape="preconditionainfix &lt;V1V0Aainfix &lt;=c0V1INainfix =agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
@@ -970,10 +970,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="4. precondition"
sum="a3a90830c51eb99bd31c9cf1726c591b"
sum="b65d99fda42d1a5a373b0a1f1827438f"
proved="true"
expanded="true"
shape="preconditionainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &gt;agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1INainfix =agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="preconditionainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
@@ -1030,10 +1030,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="5. precondition"
sum="b456a3300d53bbcd045b8eeb3c6fe206"
sum="3ef83ae8a5774857d093648b3c944318"
proved="true"
expanded="true"
shape="preconditionainfix &lt;=c0V4Aadecrease1V3Lainfix +V1agetV2V1Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &gt;agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1INainfix =agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="preconditionainfix &lt;=c0V4Aadecrease1V3Lainfix +V2agetV1V2Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
@@ -1090,10 +1090,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="6. postcondition"
sum="367068ad52eca50d65f54eb28622ad77"
sum="53d8a3d577bc285400817debfb25dd57"
proved="true"
expanded="true"
shape="postconditionNainfix =agetV2V6c0Iainfix &lt;V6V5Aainfix &lt;=V1V6FAainfix =agetV2V5c0Aainfix &lt;V5V0Aainfix &lt;=V1V5ONainfix =agetV2V7c0Iainfix &lt;V7V0Aainfix &lt;=V1V7FAainfix =V5aprefix -c1INainfix =agetV2V8c0Iainfix &lt;V8V5Aainfix &lt;=V4V8FAainfix =agetV2V5c0Aainfix &lt;V5V0Aainfix &lt;=V4V5ONainfix =agetV2V9c0Iainfix &lt;V9V0Aainfix &lt;=V4V9FAainfix =V5aprefix -c1FIainfix &lt;=c0V4Aadecrease1V3Lainfix +V1agetV2V1Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &gt;agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1INainfix =agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="postconditionNainfix =agetV1V6c0Iainfix &lt;V6V5Aainfix &lt;=V2V6FAainfix =agetV1V5c0Aainfix &lt;V5V0Aainfix &lt;=V2V5ONainfix =agetV1V7c0Iainfix &lt;V7V0Aainfix &lt;=V2V7FAainfix =V5aprefix -c1INainfix =agetV1V8c0Iainfix &lt;V8V5Aainfix &lt;=V4V8FAainfix =agetV1V5c0Aainfix &lt;V5V0Aainfix &lt;=V4V5ONainfix =agetV1V9c0Iainfix &lt;V9V0Aainfix &lt;=V4V9FAainfix =V5aprefix -c1FIainfix &lt;=c0V4Aadecrease1V3Lainfix +V2agetV1V2Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
@@ -1118,10 +1118,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="7. precondition"
sum="2c21119f269974ad947e42a546006e41"
sum="78eedc83e56f3d416e510722f1d0f99d"
proved="true"
expanded="true"
shape="preconditionainfix &lt;=c0V4Aadecrease1V3Lainfix +V1c1INainfix &gt;agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1INainfix =agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="preconditionainfix &lt;=c0V4Aadecrease1V3Lainfix +V2c1INainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
@@ -1178,10 +1178,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="8. postcondition"
sum="ba4769249e31df9f2921f8a2746f27a0"
sum="b0ce1aa1571ca8799dc554f9a1705c29"
proved="true"
expanded="true"
shape="postconditionNainfix =agetV2V6c0Iainfix &lt;V6V5Aainfix &lt;=V1V6FAainfix =agetV2V5c0Aainfix &lt;V5V0Aainfix &lt;=V1V5ONainfix =agetV2V7c0Iainfix &lt;V7V0Aainfix &lt;=V1V7FAainfix =V5aprefix -c1INainfix =agetV2V8c0Iainfix &lt;V8V5Aainfix &lt;=V4V8FAainfix =agetV2V5c0Aainfix &lt;V5V0Aainfix &lt;=V4V5ONainfix =agetV2V9c0Iainfix &lt;V9V0Aainfix &lt;=V4V9FAainfix =V5aprefix -c1FIainfix &lt;=c0V4Aadecrease1V3Lainfix +V1c1INainfix &gt;agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1INainfix =agetV2V1c0Iainfix &lt;V1V0Aainfix &lt;=c0V1Iainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="postconditionNainfix =agetV1V6c0Iainfix &lt;V6V5Aainfix &lt;=V2V6FAainfix =agetV1V5c0Aainfix &lt;V5V0Aainfix &lt;=V2V5ONainfix =agetV1V7c0Iainfix &lt;V7V0Aainfix &lt;=V2V7FAainfix =V5aprefix -c1INainfix =agetV1V8c0Iainfix &lt;V8V5Aainfix &lt;=V4V8FAainfix =agetV1V5c0Aainfix &lt;V5V0Aainfix &lt;=V4V5ONainfix =agetV1V9c0Iainfix &lt;V9V0Aainfix &lt;=V4V9FAainfix =V5aprefix -c1FIainfix &lt;=c0V4Aadecrease1V3Lainfix +V2c1INainfix &gt;agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2INainfix =agetV1V2c0Iainfix &lt;V2V0Aainfix &lt;=c0V2Iainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof
@@ -1222,10 +1222,10 @@
locfile="../decrease1.mlw"
loclnum="43" loccnumb="10" loccnume="20"
expl="9. postcondition"
sum="55e7745869da72e644c7b170dc3cecc9"
sum="dba1fbbff74e82a56107b076856cbc82"
proved="true"
expanded="true"
shape="postconditionNainfix =agetV2V5c0Iainfix &lt;V5V4Aainfix &lt;=V1V5FAainfix =agetV2V4c0Aainfix &lt;V4V0Aainfix &lt;=V1V4ONainfix =agetV2V6c0Iainfix &lt;V6V0Aainfix &lt;=V1V6FAainfix =V4aprefix -c1Laprefix -c1INainfix &lt;V1V0Iainfix &lt;=c0V1Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V2FF">
shape="postconditionNainfix =agetV1V5c0Iainfix &lt;V5V4Aainfix &lt;=V2V5FAainfix =agetV1V4c0Aainfix &lt;V4V0Aainfix &lt;=V2V4ONainfix =agetV1V6c0Iainfix &lt;V6V0Aainfix &lt;=V2V6FAainfix =V4aprefix -c1Laprefix -c1INainfix &lt;V2V0Iainfix &lt;=c0V2Aadecrease1V3Aainfix &lt;=c0V0Lamk arrayV0V1F">
<label
name="expl:VC for search_rec"/>
<proof