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fixed some obsolete proof sessions
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‎examples/mutualExclusionToken/selfstab-ring.mlw

+5-12
Original file line numberDiff line numberDiff line change
@@ -33,24 +33,17 @@ module SelfStab_Ring
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let rec lemma first_last_fl (w:world) (n:int)
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requires { n<=n_nodes }
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ensures { n>=0 -> (forall j :int. 0<j<=n -> w.ring[j] = w.ring[j-1]) ->
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w.ring[0] = w.ring[n] }
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requires { 0<n<=n_nodes }
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requires { forall j :int. 0<j<n -> w.ring[j] = w.ring[j-1] }
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ensures { w.ring[0] = w.ring[n-1] }
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variant { n }
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= if n>0 then first_last_fl w (n-1)
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= if n>1 then first_last_fl w (n-1)
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else ()
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(* crucial lemma to achieve an unbounded proof *)
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(* of the atLeastOneTokenLm lemma *)
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(* lemma first_last : forall n: int, lS :map node state. *)
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(* n >= 0 -> *)
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(* (forall j :int. 0<j<=n -> lS j = lS (j-1)) -> *)
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(* lS 0 = lS n *)
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(* lemma atLeastOneTokenLm : forall w :world. atLeastOneToken (refn w) n_nodes *)
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predicate inv (w:world) =
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forall n :int. validNd n -> 0 <= w.ring[n] < k_states
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/\

‎examples/mutualExclusionToken/selfstab-ring/why3session.xml

+24-36
Original file line numberDiff line numberDiff line change
@@ -2,8 +2,9 @@
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
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"https://www.why3.org/why3session.dtd">
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<why3session shape_version="6">
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<prover id="0" name="Z3" version="4.11.2" timelimit="2000" steplimit="0" memlimit="10000"/>
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<prover id="0" name="Z3" version="4.11.2" timelimit="2000" steplimit="0" memlimit="5000"/>
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<prover id="1" name="Alt-Ergo" version="2.4.2" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="2" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
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<file format="whyml" proved="true">
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<path name=".."/><path name="selfstab-ring.mlw"/>
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<theory name="SelfStab_Ring" proved="true">
@@ -14,55 +15,42 @@
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<proof prover="1"><result status="valid" time="0.010000" steps="63"/></proof>
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</goal>
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<goal name="trans&#39;vc" expl="VC for trans" proved="true">
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<transf name="unfold" proved="true" arg1="refn">
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<goal name="trans&#39;vc.0" expl="VC for trans" proved="true">
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<transf name="unfold" proved="true" arg1="inv">
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<goal name="trans&#39;vc.0.0" expl="VC for trans" proved="true">
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<transf name="split_all_full" proved="true" >
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<goal name="trans&#39;vc.0.0.0" expl="postcondition" proved="true">
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<proof prover="1" timelimit="2000" memlimit="10000"><result status="valid" time="0.677646" steps="32013"/></proof>
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</goal>
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<goal name="trans&#39;vc.0.0.1" expl="postcondition" proved="true">
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<proof prover="1" timelimit="2000" memlimit="10000"><result status="valid" time="0.006451" steps="8"/></proof>
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</goal>
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<goal name="trans&#39;vc.0.0.2" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="0.249825" steps="1869273"/></proof>
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</goal>
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<goal name="trans&#39;vc.0.0.3" expl="postcondition" proved="true">
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<proof prover="1" timelimit="2000" memlimit="10000"><result status="valid" time="0.629224" steps="24855"/></proof>
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</goal>
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<goal name="trans&#39;vc.0.0.4" expl="postcondition" proved="true">
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<proof prover="0" memlimit="5000"><result status="valid" time="0.021162" steps="79453"/></proof>
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</goal>
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<goal name="trans&#39;vc.0.0.5" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="0.061491" steps="356952"/></proof>
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</goal>
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<goal name="trans&#39;vc.0.0.6" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="3.168135" steps="36850612"/></proof>
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</goal>
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<goal name="trans&#39;vc.0.0.7" expl="postcondition" proved="true">
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<proof prover="1" timelimit="2000" memlimit="10000"><result status="valid" time="0.931713" steps="18109"/></proof>
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</goal>
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</transf>
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<transf name="split_vc" proved="true" >
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<goal name="trans&#39;vc.0" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="0.019041" steps="93182"/></proof>
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</goal>
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<goal name="trans&#39;vc.1" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="0.049745" steps="290026"/></proof>
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</goal>
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<goal name="trans&#39;vc.2" expl="postcondition" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="trans&#39;vc.2.0" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="0.055320" steps="382612"/></proof>
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</goal>
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<goal name="trans&#39;vc.2.1" expl="postcondition" proved="true">
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<proof prover="0"><result status="valid" time="0.197494" steps="1408637"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="trans&#39;vc.3" expl="postcondition" proved="true">
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<proof prover="1" timelimit="1"><result status="valid" time="0.044877" steps="1205"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="Refinement.initWorldA&#39;refn&#39;vc" expl="VC for initWorldA&#39;refn" proved="true">
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<proof prover="1"><result status="valid" time="0.020000" steps="146"/></proof>
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<proof prover="1" timelimit="2000" memlimit="5000"><result status="valid" time="0.017978" steps="146"/></proof>
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</goal>
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<goal name="Refinement.initWorldC&#39;refn&#39;vc" expl="VC for initWorldC&#39;refn" proved="true">
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<proof prover="1"><result status="valid" time="0.100000" steps="1225"/></proof>
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<proof prover="1"><result status="valid" time="0.100000" steps="1181"/></proof>
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</goal>
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<goal name="Refinement.stepA&#39;refn&#39;vc" expl="VC for stepA&#39;refn" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="27"/></proof>
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<proof prover="2"><result status="valid" time="0.035030" steps="27441"/></proof>
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</goal>
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<goal name="Refinement.stepC&#39;refn&#39;vc" expl="VC for stepC&#39;refn" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="72"/></proof>
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<proof prover="1"><result status="valid" time="0.010000" steps="73"/></proof>
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</goal>
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<goal name="oneToken" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="23"/></proof>
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<proof prover="1" timelimit="2000" memlimit="5000"><result status="valid" time="0.008986" steps="23"/></proof>
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</goal>
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</theory>
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</file>

‎examples/mutualExclusionToken/selfstab-ring/why3shapes.gz

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