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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"https://www.why3.org/why3session.dtd">
<why3session shape_version="6">
<prover id="0" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="5" name="CVC4" version="1.5" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="cursor_examples.mlw"/>
<theory name="TestCursor" proved="true">
<goal name="sum'vc" expl="VC for sum" proved="true">
<proof prover="4"><result status="valid" time="3.316840" steps="903"/></proof>
</goal>
</theory>
<theory name="ListCursorImpl'impl" proved="true">
<goal name="cursor'vc" expl="VC for cursor" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="33"/></proof>
</goal>
<goal name="snoc_Cons'vc" expl="VC for snoc_Cons" proved="true">
<proof prover="4"><result status="valid" time="0.030000" steps="99"/></proof>
</goal>
<goal name="C.next'vc" expl="VC for next" proved="true">
<proof prover="4"><result status="valid" time="0.100000" steps="476"/></proof>
</goal>
<goal name="C.has_next'vc" expl="VC for has_next" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="66"/></proof>
</goal>
<goal name="create'vc" expl="VC for create" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="53"/></proof>
</goal>
<goal name="ListCursor'impl_of.create'refn'vc" expl="VC for create'refn" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="35"/></proof>
</goal>
<goal name="ListCursor'impl_of.C.next'refn'vc" expl="VC for next'refn" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="57"/></proof>
</goal>
<goal name="ListCursor'impl_of.C.has_next'refn'vc" expl="VC for has_next'refn" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="1"/></proof>
</goal>
</theory>
<theory name="TestListCursor" proved="true">
<goal name="sum_of_list" proved="true">
<transf name="induction_ty_lex" proved="true" >
<goal name="sum_of_list.0" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="sum_of_list.0.0" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="19"/></proof>
</goal>
<goal name="sum_of_list.0.1" proved="true">
<proof prover="4"><result status="valid" time="3.893824" steps="1177"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="list_sum'vc" expl="VC for list_sum" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="list_sum'vc.0" expl="loop invariant init" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="18"/></proof>
</goal>
<goal name="list_sum'vc.1" expl="loop invariant init" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="6"/></proof>
</goal>
<goal name="list_sum'vc.2" expl="precondition" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="8"/></proof>
</goal>
<goal name="list_sum'vc.3" expl="precondition" proved="true">
<proof prover="4"><result status="valid" time="0.000000" steps="2"/></proof>
</goal>
<goal name="list_sum'vc.4" expl="precondition" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="9"/></proof>
</goal>
<goal name="list_sum'vc.5" expl="loop variant decrease" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="28"/></proof>
</goal>
<goal name="list_sum'vc.6" expl="loop invariant preservation" proved="true">
<transf name="simplify_trivial_quantification" proved="true" >
<goal name="list_sum'vc.6.0" expl="loop invariant preservation" proved="true">
<proof prover="4"><result status="valid" time="5.217424" steps="1495"/></proof>
</goal>
</transf>
</goal>
<goal name="list_sum'vc.7" expl="loop invariant preservation" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="14"/></proof>
</goal>
<goal name="list_sum'vc.8" expl="postcondition" proved="true">
<proof prover="4"><result status="valid" time="1.060000" steps="343"/></proof>
</goal>
</transf>
</goal>
</theory>
<theory name="ArrayCursorImpl'impl" proved="true">
<goal name="cursor'vc" expl="VC for cursor" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="3"/></proof>
</goal>
<goal name="create'vc" expl="VC for create" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="5"/></proof>
</goal>
<goal name="C.has_next'vc" expl="VC for has_next" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="19"/></proof>
</goal>
<goal name="C.next'vc" expl="VC for next" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="75"/></proof>
</goal>
<goal name="ArrayCursor'impl_of.create'refn'vc" expl="VC for create'refn" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="29"/></proof>
</goal>
<goal name="ArrayCursor'impl_of.C.next'refn'vc" expl="VC for next'refn" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="37"/></proof>
</goal>
<goal name="ArrayCursor'impl_of.C.has_next'refn'vc" expl="VC for has_next'refn" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="1"/></proof>
</goal>
</theory>
<theory name="TestArrayCursor" proved="true">
<goal name="array_sum'vc" expl="VC for array_sum" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="array_sum'vc.0" expl="loop invariant init" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="17"/></proof>
</goal>
<goal name="array_sum'vc.1" expl="loop invariant init" proved="true">
<proof prover="0"><result status="valid" time="0.040000" steps="72555"/></proof>
</goal>
<goal name="array_sum'vc.2" expl="precondition" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="7"/></proof>
</goal>
<goal name="array_sum'vc.3" expl="precondition" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="1"/></proof>
</goal>
<goal name="array_sum'vc.4" expl="precondition" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="8"/></proof>
</goal>
<goal name="array_sum'vc.5" expl="loop variant decrease" proved="true">
<proof prover="4"><result status="valid" time="0.010000" steps="25"/></proof>
</goal>
<goal name="array_sum'vc.6" expl="loop invariant preservation" proved="true">
<proof prover="4"><result status="valid" time="3.443463" steps="1085"/></proof>
</goal>
<goal name="array_sum'vc.7" expl="loop invariant preservation" proved="true">
<proof prover="4"><result status="valid" time="0.020000" steps="13"/></proof>
</goal>
<goal name="array_sum'vc.8" expl="postcondition" proved="true">
<proof prover="4"><result status="valid" time="0.880000" steps="374"/></proof>
</goal>
</transf>
</goal>
<goal name="harness1'vc" expl="VC for harness1" proved="true">
<proof prover="5"><result status="valid" time="0.160000" steps="25758"/></proof>
</goal>
</theory>
</file>
</why3session>
|
