diff --git a/src/main/java/de/wiesler/Sorter.java b/src/main/java/de/wiesler/Sorter.java index 14c665a..dcbfa1d 100644 --- a/src/main/java/de/wiesler/Sorter.java +++ b/src/main/java/de/wiesler/Sorter.java @@ -628,7 +628,7 @@ public static void insertion_sort(int[] values, int begin, int end) { //@ assume before == seqUpd(\dl_seq_def_workaround(begin, end, values), hole-begin, value); values[hole] = values[i]; - /*@ assert seqUpd(\dl_seq_def_workaround(begin, end, values), i-begin, value) == + /* @ assert seqUpd(\dl_seq_def_workaround(begin, end, values), i-begin, value) == @ \dl_seqSwap(before, i-begin, hole-begin); @*/ diff --git a/src/main/key/Sorter/de.wiesler.Sorter(de.wiesler.Sorter__insertion_sort((I,int,int)).JML normal_behavior operation contract.0.proof b/src/main/key/Sorter/de.wiesler.Sorter(de.wiesler.Sorter__insertion_sort((I,int,int)).JML normal_behavior operation contract.0.proof new file mode 100644 index 0000000..06b0bf0 --- /dev/null +++ b/src/main/key/Sorter/de.wiesler.Sorter(de.wiesler.Sorter__insertion_sort((I,int,int)).JML normal_behavior operation contract.0.proof @@ -0,0 +1,47325 @@ +\profile "Java Profile"; + +\settings { +"#Proof-Settings-Config-File +#Wed Oct 25 15:23:29 CEST 2023 +[NewSMT]NoTypeHierarchy=false +[Labels]UseOriginLabels=true +[StrategyProperty]QUERYAXIOM_OPTIONS_KEY=QUERYAXIOM_ON +[NewSMT]Presburger=false +[SMTSettings]invariantForall=false +[Strategy]ActiveStrategy=JavaCardDLStrategy +[StrategyProperty]USER_TACLETS_OPTIONS_KEY1=USER_TACLETS_OFF +[StrategyProperty]QUANTIFIERS_OPTIONS_KEY=QUANTIFIERS_NON_SPLITTING_WITH_PROGS +[StrategyProperty]USER_TACLETS_OPTIONS_KEY2=USER_TACLETS_OFF +[Choice]DefaultChoices=JavaCard-JavaCard\\:on , Strings-Strings\\:on , assertions-assertions\\:safe , bigint-bigint\\:on , finalFields-finalFields\\:immutable , floatRules-floatRules\\:strictfpOnly , initialisation-initialisation\\:disableStaticInitialisation , intRules-intRules\\:arithmeticSemanticsIgnoringOF , integerSimplificationRules-integerSimplificationRules\\:full , javaLoopTreatment-javaLoopTreatment\\:efficient , mergeGenerateIsWeakeningGoal-mergeGenerateIsWeakeningGoal\\:off , methodExpansion-methodExpansion\\:modularOnly , modelFields-modelFields\\:treatAsAxiom , moreSeqRules-moreSeqRules\\:on , permissions-permissions\\:off , programRules-programRules\\:Java , reach-reach\\:on , runtimeExceptions-runtimeExceptions\\:ban , sequences-sequences\\:on , wdChecks-wdChecks\\:off , wdOperator-wdOperator\\:L +[StrategyProperty]LOOP_OPTIONS_KEY=LOOP_INVARIANT +[StrategyProperty]INF_FLOW_CHECK_PROPERTY=INF_FLOW_CHECK_FALSE +[SMTSettings]UseBuiltUniqueness=false +[SMTSettings]explicitTypeHierarchy=false +[SMTSettings]instantiateHierarchyAssumptions=true +[StrategyProperty]NON_LIN_ARITH_OPTIONS_KEY=NON_LIN_ARITH_DEF_OPS +[SMTSettings]SelectedTaclets= +[StrategyProperty]DEP_OPTIONS_KEY=DEP_OFF +[StrategyProperty]AUTO_INDUCTION_OPTIONS_KEY=AUTO_INDUCTION_OFF +[Strategy]MaximumNumberOfAutomaticApplications=10000 +[StrategyProperty]STOPMODE_OPTIONS_KEY=STOPMODE_DEFAULT +[StrategyProperty]CLASS_AXIOM_OPTIONS_KEY=CLASS_AXIOM_DELAYED +[SMTSettings]useConstantsForBigOrSmallIntegers=true +[StrategyProperty]MPS_OPTIONS_KEY=MPS_MERGE +[Strategy]Timeout=-1 +[StrategyProperty]QUERY_NEW_OPTIONS_KEY=QUERY_OFF +[SMTSettings]useUninterpretedMultiplication=true +[NewSMT]sqrtSMTTranslation=SMT +[StrategyProperty]BLOCK_OPTIONS_KEY=BLOCK_CONTRACT_INTERNAL +[StrategyProperty]METHOD_OPTIONS_KEY=METHOD_CONTRACT +[StrategyProperty]USER_TACLETS_OPTIONS_KEY3=USER_TACLETS_OFF +[NewSMT]identifier=OPEN +[SMTSettings]maxGenericSorts=2 +[StrategyProperty]OSS_OPTIONS_KEY=OSS_ON +[NewSMT]Axiomatisations=false +[StrategyProperty]SPLITTING_OPTIONS_KEY=SPLITTING_DELAYED +[SMTSettings]integersMinimum=-2147483645 +[StrategyProperty]VBT_PHASE=VBT_SYM_EX +[SMTSettings]integersMaximum=2147483645 +" +} + +\javaSource "../../java"; + +\proofObligation "#Proof Obligation Settings +#Wed Oct 25 15:23:29 CEST 2023 +contract=de.wiesler.Sorter[de.wiesler.Sorter\\:\\:insertion_sort([I,int,int)].JML normal_behavior operation contract.0 +name=de.wiesler.Sorter[de.wiesler.Sorter\\:\\:insertion_sort([I,int,int)].JML normal_behavior operation contract.0 +class=de.uka.ilkd.key.proof.init.FunctionalOperationContractPO +"; + +\proof { +(keyLog "0" (keyUser "mattias" ) (keyVersion "e1a85b31e7")) + +(autoModeTime "338844") + +(branch "dummy ID" + (builtin "One Step Simplification" (formula "1") (newnames "heapAtPre_0,o,f")) +(rule "translateJavaSubInt" (formula "1") (term "2,2,0,0,0,0,1,0,1,1")) +(rule "impRight" (formula "1")) +(rule "andLeft" (formula "1")) +(rule "andLeft" (formula "1")) +(rule "andLeft" (formula "3")) +(rule "andLeft" (formula "1")) +(rule "andLeft" (formula "4")) +(rule "notLeft" (formula "6")) +(rule "andLeft" (formula "4")) +(rule "eqSymm" (formula "8") (term "1,0,0,1,0,1")) +(rule "replace_known_right" (formula "2") (term "0") (ifseqformula "7")) + 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Simplification" (formula "29")) + (rule "andRight" (formula "29")) + (branch "Case 1" + (rule "andRight" (formula "29")) + (branch "Case 1" + (rule "andRight" (formula "29")) + (branch "Case 1" + (rule "andRight" (formula "29")) + (branch "Case 1" + (rule "andRight" (formula "29")) + (branch "Case 1" + (rule "eqTermCut" (formula "29") (term "0") (inst "s=de.wiesler.Sorter::seqUpd(seqDef{int j;}(begin<>, + end<>, + any::select(anon(anon(heap, + arrayRange(values, + begin, + add(Z(neglit(1(#))), + end)), + anon_heap_LOOP<>), + arrayRange(values, + begin, + k_0), + anon_heap_LOOP_0<>), + values<>, + arr(j))), + add(mul(begin, + Z(neglit(1(#)))), + hole_0), + arr_0<>)") (userinteraction)) + (branch "Assume seqDef{int j;}(begin, end, any::select(heap[anon(arrayRange(values, begin, -1 + end), anon_heap_LOOP<>)] [anon(arrayRange(values, begin, k_0), anon_heap_LOOP_0<>)] [values[hole_0] := arr_0<>], values, arr(j))) = de.wiesler.Sorter::seqUpd(seqDef{int j;}(begin, end, any::select(heap[anon(arrayRange(values, begin, -1 + end), anon_heap_LOOP<>)] [anon(arrayRange(values, begin, k_0), anon_heap_LOOP_0<>)], values, arr(j))), begin * -1 + hole_0, arr_0<>)" + (rule "applyEqReverse" (formula "23") (term "0") (ifseqformula "1") (userinteraction)) + (rule "narrowSelectArrayType" (formula "30") (term "2,1") (ifseqformula "4") (ifseqformula "29") (userinteraction)) + (rule "close" (formula "30") (ifseqformula "23") (userinteraction)) + ) + (branch "Assume seqDef{int j;}(begin, end, any::select(heap[anon(arrayRange(values, begin, -1 + end), anon_heap_LOOP<>)] [anon(arrayRange(values, begin, k_0), anon_heap_LOOP_0<>)] [values[hole_0] := arr_0<>], values, arr(j))) != de.wiesler.Sorter::seqUpd(seqDef{int j;}(begin, end, any::select(heap[anon(arrayRange(values, begin, -1 + end), anon_heap_LOOP<>)] [anon(arrayRange(values, begin, k_0), anon_heap_LOOP_0<>)], values, arr(j))), begin * -1 + hole_0, arr_0<>)" + (rule "notLeft" (formula "1") (userinteraction)) + (rule "equalityToSeqGetAndSeqLenRight" (formula "26") (inst "iv=iv") (userinteraction)) + (rule "andRight" (formula "26") (userinteraction)) + (branch "Case 1" + (rule "Definition_axiom_for_seqUpd_in_de_wiesler_Sorter" (formula "26") (term "0,1") (userinteraction)) + (rule "translateJavaAddInt" (formula "26") (term "1,1,0,1")) + (rule "polySimp_homoEq" (formula "17")) + (rule "polySimp_homoEq" (formula "20") (term "1")) + (rule "polySimp_mulComm0" (formula "20") (term "1,0,1")) + (rule "polySimp_addComm1" (formula "26") (term "1,1,0,1")) + (rule "polySimp_addComm1" (formula "17") (term "0")) + (rule "polySimp_addComm0" (formula "26") (term "0,1,1,0,1")) + (rule "polySimp_rightDist" (formula "20") (term "1,0,1")) + (rule "mul_literals" (formula "20") (term "0,1,0,1")) + (rule "polySimp_addAssoc" (formula "20") (term "0,1")) + (rule "polySimp_addComm0" (formula "20") (term "0,0,1")) + (rule "lenOfSeqDef" (formula "26") (term "0")) + (rule "eqSymm" (formula "26")) + (rule "polySimp_elimSub" 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