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Why3
why3
Commits
94e5b4f5
Commit
94e5b4f5
authored
Dec 10, 2013
by
Jean-Christophe Filliâtre
Browse files
new example (in progress)
parent
4161b62b
Changes
2
Hide whitespace changes
Inline
Side-by-side
examples/in_progress/balance.mlw
0 → 100644
View file @
94e5b4f5
(* 8 balls, one is lighter than the others
Given a Roberval balance, use it only twice to find the lighter ball *)
module Balance
use import int.Int
use import array.Array
let solve3 (balls: array int) (s: int) (ghost lb: int) (ghost w: int) : int
requires { 0 <= s && s+3 <= length balls }
requires { s <= lb < s+3 }
requires { forall i: int. s <= i < s+3 -> i <> lb -> balls[i] = w }
requires { balls[lb] < w }
ensures { result = lb }
=
absurd
let solve8 (balls: array int) (ghost lb: int) (ghost w: int) : int
requires { length balls = 8 }
requires { 0 <= lb < 8 }
requires { forall i: int. 0 <= i < 8 -> i<> lb -> balls[i] = w }
requires { balls[lb] < w }
ensures { result = lb }
=
if balls[0] + balls[1] + balls[2] < balls[3] + balls[4] + balls[5] then
solve3 balls 0 lb w
else if balls[0] + balls[1] + balls[2] > balls[3] + balls[4] + balls[5] then
solve3 balls 3 lb w
else
if balls[6] < balls[7] then 6 else 7
end
examples/in_progress/balance/why3session.xml
0 → 100644
View file @
94e5b4f5
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
<why3session
shape_version=
"4"
>
<prover
id=
"0"
name=
"Alt-Ergo"
version=
"0.95.1"
/>
<file
name=
"../balance.mlw"
verified=
"false"
expanded=
"true"
>
<theory
name=
"Balance"
locfile=
"../balance.mlw"
loclnum=
"5"
loccnumb=
"7"
loccnume=
"14"
verified=
"false"
expanded=
"true"
>
<goal
name=
"WP_parameter solve3"
locfile=
"../balance.mlw"
loclnum=
"10"
loccnumb=
"6"
loccnume=
"12"
expl=
"unreachable point"
sum=
"b2a63f377abdee0fbc3c0ae8891bbb7e"
proved=
"false"
expanded=
"true"
shape=
"unreachable pointfIainfix <agetV1V3V4Aainfix =agetV1V5V4INainfix =V5V3Iainfix <V5ainfix +V2c3Aainfix <=V2V5FAainfix <V3ainfix +V2c3Aainfix <=V2V3Aainfix <=ainfix +V2c3V0Aainfix <=c0V2Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve3"
/>
</goal>
<goal
name=
"WP_parameter solve8"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"VC for solve8"
sum=
"062e154a2be7b3d57b0e4d0ee103c730"
proved=
"true"
expanded=
"true"
shape=
"iiainfix =ic7c6ainfix <agetV1c6agetV1c7V2Aainfix <c6V0Aainfix <=c0c6Aainfix <c7V0Aainfix <=c0c7ainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4ainfix +c3c3Aainfix <=c3V4FAainfix <V2ainfix +c3c3Aainfix <=c3V2Aainfix <=ainfix +c3c3V0Aainfix <=c0c3ainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1Aainfix <c2V0Aainfix <=c0c2Aainfix <c3V0Aainfix <=c0c3Aainfix <c4V0Aainfix <=c0c4Aainfix <c5V0Aainfix <=c0c5ainfix <agetV1V2V3Aainfix =agetV1V5V3INainfix =V5V2Iainfix <V5ainfix +c0c3Aainfix <=c0V5FAainfix <V2ainfix +c0c3Aainfix <=c0V2Aainfix <=ainfix +c0c3V0Aainfix <=c0c0ainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Aainfix <c0V0Aainfix <=c0c0Aainfix <c1V0Aainfix <=c0c1Aainfix <c2V0Aainfix <=c0c2Aainfix <c3V0Aainfix <=c0c3Aainfix <c4V0Aainfix <=c0c4Aainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V6V3INainfix =V6V2Iainfix <V6c8Aainfix <=c0V6FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<transf
name=
"split_goal_wp"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter solve8.1"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"1. precondition"
sum=
"7f452b09485f0078ffed1ea16f1be0c5"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.2"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"2. precondition"
sum=
"8a74fda882f4c11c54d691683922b732"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.3"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"3. precondition"
sum=
"527d583719351f0fc801bd489f6717e0"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.00"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.4"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"4. precondition"
sum=
"56332e1fe78f7395f51c48c14ea31ea9"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.5"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"5. precondition"
sum=
"2296fe0195456e89247530015312d062"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.6"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"6. precondition"
sum=
"a4d4b4ae913f623446b966af997e7e14"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.7"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"7. precondition"
sum=
"a490b137e0954bf5daffeef216bd2131"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <=ainfix +c0c3V0Aainfix <=c0c0Iainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.00"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.8"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"8. precondition"
sum=
"38df1c4f04c42a836da184789b1df060"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <V2ainfix +c0c3Aainfix <=c0V2Iainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.00"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.9"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"9. precondition"
sum=
"1259c80f5be2ee25a2a22a66c04a851e"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix =agetV1V4V3INainfix =V4V2Iainfix <V4ainfix +c0c3Aainfix <=c0V4FIainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V5V3INainfix =V5V2Iainfix <V5c8Aainfix <=c0V5FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.04"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.10"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"10. precondition"
sum=
"8bd01f6a6d3d14059a7e60330115478c"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <agetV1V2V3Iainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.11"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"11. precondition"
sum=
"856cc17689ab76bbb0eeedb528ffa3bb"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.03"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.12"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"12. precondition"
sum=
"4552bbae3e407ac9329cf175de1df5eb"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.13"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"13. precondition"
sum=
"962c6f38a56801a3a92ceb5765dee9bf"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.14"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"14. precondition"
sum=
"d5ff71bcc68643d2d4394bfa480b7ff9"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.15"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"15. precondition"
sum=
"a90347d2290c70643d49850b30c27412"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.16"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"16. precondition"
sum=
"9a5a2d73649cf393c09ce4c7b2dbc93c"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.17"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"17. precondition"
sum=
"f1e9ec7b5c1464c3c1154a2edeafa8d0"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <=ainfix +c3c3V0Aainfix <=c0c3Iainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.18"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"18. precondition"
sum=
"d2f6255a0b65552fb98255dd57d6eab6"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <V2ainfix +c3c3Aainfix <=c3V2Iainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.19"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"19. precondition"
sum=
"c27de6f7a459e4f8f842b768d72e1cf9"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix =agetV1V4V3INainfix =V4V2Iainfix <V4ainfix +c3c3Aainfix <=c3V4FIainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V5V3INainfix =V5V2Iainfix <V5c8Aainfix <=c0V5FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.03"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.20"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"20. precondition"
sum=
"f7bd2f02ee8e000ae0fca5f6195571d7"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <agetV1V2V3Iainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.21"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"21. precondition"
sum=
"7cfcc7bd211ed84a6cb3f5bdcaaebf34"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c7V0Aainfix <=c0c7INainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.01"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.22"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"22. precondition"
sum=
"188a2cc8e56a4b16a7a367eaa4a5cabf"
proved=
"true"
expanded=
"false"
shape=
"preconditionainfix <c6V0Aainfix <=c0c6Iainfix <c7V0Aainfix <=c0c7INainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.00"
/>
</proof>
</goal>
<goal
name=
"WP_parameter solve8.23"
locfile=
"../balance.mlw"
loclnum=
"19"
loccnumb=
"6"
loccnume=
"12"
expl=
"23. postcondition"
sum=
"e659b1b9da3390b03243de101f441589"
proved=
"true"
expanded=
"true"
shape=
"postconditionainfix =ic7c6ainfix <agetV1c6agetV1c7V2Iainfix <c6V0Aainfix <=c0c6Iainfix <c7V0Aainfix <=c0c7INainfix >ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5INainfix <ainfix +ainfix +agetV1c0agetV1c1agetV1c2ainfix +ainfix +agetV1c3agetV1c4agetV1c5Iainfix <c0V0Aainfix <=c0c0Iainfix <c1V0Aainfix <=c0c1Iainfix <c2V0Aainfix <=c0c2Iainfix <c3V0Aainfix <=c0c3Iainfix <c4V0Aainfix <=c0c4Iainfix <c5V0Aainfix <=c0c5Iainfix <agetV1V2V3Aainfix =agetV1V4V3INainfix =V4V2Iainfix <V4c8Aainfix <=c0V4FAainfix <V2c8Aainfix <=c0V2Aainfix =V0c8Aainfix <=c0V0F"
>
<label
name=
"expl:VC for solve8"
/>
<proof
prover=
"0"
timelimit=
"10"
memlimit=
"1000"
obsolete=
"false"
archived=
"false"
>
<result
status=
"valid"
time=
"0.03"
/>
</proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
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