From e7ba3c7e5626d3b2dd61318e91704fd6bf47228e Mon Sep 17 00:00:00 2001 From: Georgy Lukyanov Date: Tue, 26 Mar 2024 22:03:04 +0100 Subject: [PATCH] Matching `List`s with opaque rests (#3751) Fixes #3749 We change the pattern matching algorithm, implemented by `Kore.Rewrite.Axiom.Matcher.patternMatch'`, in two ways: * list concatenation symbols are handled separately from all other symbol applications * lists are allowed to match when both pattern and subject have an opaque rest Minor clean-up: * `Builtin.IndexedModule.MetadataTools.sortAttributes` is made total, the original partial version renamed to `unsafeSortAttributes` * same goes for `getSortAttributes` The PR is ready for review, but the following is left to be done before we can merge: - [x] add the K definition from #3749 as a test for `kore-rpc` --- kore/src/Kore/Builtin/Builtin.hs | 14 +- kore/src/Kore/Builtin/Symbols.hs | 6 +- kore/src/Kore/IndexedModule/MetadataTools.hs | 12 +- kore/src/Kore/IndexedModule/Resolvers.hs | 18 +- kore/src/Kore/Rewrite/Axiom/Matcher.hs | 106 +- kore/src/Kore/Rewrite/SMT/Translate.hs | 4 +- kore/src/Kore/Validate/AttributesVerifier.hs | 2 +- .../execute/list-matching/README.md | 5 + .../execute/list-matching/definition.kore | 2700 +++++++++++++++++ .../execute/list-matching/params.json | 1 + .../execute/list-matching/response.golden | 1 + .../execute/list-matching/state.json | 74 + test/rpc-server/execute/list-matching/test.k | 13 + .../simplify/list-matching/README.md | 15 + .../simplify/list-matching/definition.kore | 1 + .../simplify/list-matching/params.json | 1 + .../simplify/list-matching/response.golden | 1 + .../simplify/list-matching/state.json | 1 + test/rpc-server/simplify/list-matching/test.k | 1 + 19 files changed, 2916 insertions(+), 60 deletions(-) create mode 100644 test/rpc-server/execute/list-matching/README.md create mode 100644 test/rpc-server/execute/list-matching/definition.kore create mode 100644 test/rpc-server/execute/list-matching/params.json create mode 100644 test/rpc-server/execute/list-matching/response.golden create mode 100644 test/rpc-server/execute/list-matching/state.json create mode 100644 test/rpc-server/execute/list-matching/test.k create mode 100644 test/rpc-server/simplify/list-matching/README.md create mode 120000 test/rpc-server/simplify/list-matching/definition.kore create mode 100644 test/rpc-server/simplify/list-matching/params.json create mode 100644 test/rpc-server/simplify/list-matching/response.golden create mode 100644 test/rpc-server/simplify/list-matching/state.json create mode 120000 test/rpc-server/simplify/list-matching/test.k diff --git a/kore/src/Kore/Builtin/Builtin.hs b/kore/src/Kore/Builtin/Builtin.hs index 4457f6ecbc..4760fe6f69 100644 --- a/kore/src/Kore/Builtin/Builtin.hs +++ b/kore/src/Kore/Builtin/Builtin.hs @@ -373,7 +373,7 @@ lookupSymbolUnit tools builtinSort = , symbolSorts } where - unit = Attribute.unit (MetadataTools.sortAttributes tools builtinSort) + unit = Attribute.unit (MetadataTools.unsafeSortAttributes tools builtinSort) symbolOrAlias = Attribute.Sort.getUnit unit & fromMaybe missingUnitAttribute @@ -409,7 +409,7 @@ lookupSymbolElement tools builtinSort = , symbolSorts } where - element = Attribute.element (MetadataTools.sortAttributes tools builtinSort) + element = Attribute.element (MetadataTools.unsafeSortAttributes tools builtinSort) symbolOrAlias = Attribute.Sort.getElement element & fromMaybe missingElementAttribute @@ -445,7 +445,7 @@ lookupSymbolConcat tools builtinSort = , symbolSorts } where - concat' = Attribute.concat (MetadataTools.sortAttributes tools builtinSort) + concat' = Attribute.concat (MetadataTools.unsafeSortAttributes tools builtinSort) symbolOrAlias = Attribute.Sort.getConcat concat' & fromMaybe missingConcatAttribute @@ -477,9 +477,11 @@ isSort :: Text -> SmtMetadataTools attr -> Sort -> Maybe Bool isSort builtinName tools sort | SortVariableSort _ <- sort = Nothing | otherwise = - let sortAttributes = MetadataTools.sortAttributes tools - Attribute.Sort{hook} = sortAttributes sort - in Just (getHook hook == Just builtinName) + case MetadataTools.sortAttributes tools sort of + Right sortAttributes -> + let Attribute.Sort{hook} = sortAttributes + in Just (getHook hook == Just builtinName) + Left _err -> Just False -- | Run a function evaluator that can terminate early. getAttemptedAxiom :: diff --git a/kore/src/Kore/Builtin/Symbols.hs b/kore/src/Kore/Builtin/Symbols.hs index ae94cb5ed1..64fc813c12 100644 --- a/kore/src/Kore/Builtin/Symbols.hs +++ b/kore/src/Kore/Builtin/Symbols.hs @@ -85,7 +85,7 @@ lookupSymbolUnit tools builtinSort = , symbolSorts } where - unit = Attribute.unit (MetadataTools.sortAttributes tools builtinSort) + unit = Attribute.unit (MetadataTools.unsafeSortAttributes tools builtinSort) symbolOrAlias = Attribute.Sort.getUnit unit & fromMaybe missingUnitAttribute @@ -121,7 +121,7 @@ lookupSymbolElement tools builtinSort = , symbolSorts } where - element = Attribute.element (MetadataTools.sortAttributes tools builtinSort) + element = Attribute.element (MetadataTools.unsafeSortAttributes tools builtinSort) symbolOrAlias = Attribute.Sort.getElement element & fromMaybe missingElementAttribute @@ -157,7 +157,7 @@ lookupSymbolConcat tools builtinSort = , symbolSorts } where - concat' = Attribute.concat (MetadataTools.sortAttributes tools builtinSort) + concat' = Attribute.concat (MetadataTools.unsafeSortAttributes tools builtinSort) symbolOrAlias = Attribute.Sort.getConcat concat' & fromMaybe missingConcatAttribute diff --git a/kore/src/Kore/IndexedModule/MetadataTools.hs b/kore/src/Kore/IndexedModule/MetadataTools.hs index 040c996110..2a503265c3 100644 --- a/kore/src/Kore/IndexedModule/MetadataTools.hs +++ b/kore/src/Kore/IndexedModule/MetadataTools.hs @@ -16,6 +16,7 @@ module Kore.IndexedModule.MetadataTools ( extractMetadataTools, findSortConstructors, sortAttributes, + unsafeSortAttributes, applicationSorts, symbolAttributes, ) where @@ -119,10 +120,19 @@ findSortConstructors sortAttributes :: MetadataTools sortConstructors smt attributes -> Sort -> - Attribute.Sort + Either String Attribute.Sort sortAttributes MetadataTools{syntax = MetadataSyntaxData sdata} = getSortAttributes sdata sortAttributes MetadataTools{syntax = MetadataSyntaxDataTable sdata} = + lookupThingIn (sortAttributeTable sdata) + +unsafeSortAttributes :: + MetadataTools sortConstructors smt attributes -> + Sort -> + Attribute.Sort +unsafeSortAttributes MetadataTools{syntax = MetadataSyntaxData sdata} = + unsafeGetSortAttributes sdata +unsafeSortAttributes MetadataTools{syntax = MetadataSyntaxDataTable sdata} = either error id . lookupThingIn (sortAttributeTable sdata) applicationSorts :: diff --git a/kore/src/Kore/IndexedModule/Resolvers.hs b/kore/src/Kore/IndexedModule/Resolvers.hs index b7f788d14d..ad541f3dbf 100644 --- a/kore/src/Kore/IndexedModule/Resolvers.hs +++ b/kore/src/Kore/IndexedModule/Resolvers.hs @@ -9,6 +9,7 @@ Portability : POSIX -} module Kore.IndexedModule.Resolvers ( getSortAttributes, + unsafeGetSortAttributes, getSymbolAttributes, resolveSort, resolveAlias, @@ -109,15 +110,22 @@ getHeadApplicationSorts m patternHead = assertRight $ symbolOrAliasSorts sortParameters sentence getSortAttributes :: - HasCallStack => IndexedModuleSyntax patternType declAtts -> Sort -> - Attribute.Sort + Either String Attribute.Sort getSortAttributes m (SortActualSort (SortActual sortId _)) = case resolveSort m sortId of - Right (atts, _) -> atts - Left _ -> error $ noSort sortId -getSortAttributes _ _ = error "Can't lookup attributes for sort variables" + Right (atts, _) -> Right atts + Left _ -> Left $ noSort sortId +getSortAttributes _ _ = Left "Can't lookup attributes for sort variables" + +unsafeGetSortAttributes :: + HasCallStack => + IndexedModuleSyntax patternType declAtts -> + Sort -> + Attribute.Sort +unsafeGetSortAttributes m s = either error id (getSortAttributes m s) + getSymbolAttributes :: HasCallStack => IndexedModuleSyntax patternType declAtts -> diff --git a/kore/src/Kore/Rewrite/Axiom/Matcher.hs b/kore/src/Kore/Rewrite/Axiom/Matcher.hs index 9312a1a4bd..5599874bce 100644 --- a/kore/src/Kore/Rewrite/Axiom/Matcher.hs +++ b/kore/src/Kore/Rewrite/Axiom/Matcher.hs @@ -24,6 +24,7 @@ import Data.PQueue.Min ( MinQueue, ) import Data.PQueue.Min qualified as MinQueue +import Data.Sequence (Seq ((:|>))) import Data.Sequence qualified as Seq import Data.Set ( Set, @@ -393,12 +394,69 @@ patternMatch' sideCondition ((MatchItem pat subject boundVars boundSet) : rest) decomposeBinder (inject variable1) term1 (inject variable2) term2 (Exists_ _ variable1 term1, Exists_ _ variable2 term2) -> decomposeBinder (inject variable1) term1 (inject variable2) term2 - (App_ symbol1 children1, App_ symbol2 children2) -> - if symbol1 == symbol2 - then decomposeList (zip children1 children2) - else - failMatch $ - "distinct application symbols: " <> (unparseToText symbol1) <> ", " <> (unparseToText symbol2) + (_, _) + | Just False <- List.isListSort tools sort + , (App_ symbol1 children1, App_ symbol2 children2) <- (pat, subject) -> + if symbol1 == symbol2 + then decomposeList (zip children1 children2) + else + failMatch $ + "distinct application symbols: " <> (unparseToText symbol1) <> ", " <> (unparseToText symbol2) + | Just True <- List.isListSort tools sort -> + case (List.normalize pat, List.normalize subject) of + (Var_ var1, Var_ var2) + | var1 == var2 -> + discharge + (ElemVar_ var1, _) + | isFunctionPattern subject -> + bind (inject var1) subject + (SetVar_ var1, _) -> + bind (inject var1) subject + ( InternalList_ InternalList{internalListChild = l1} + , InternalList_ InternalList{internalListChild = l2} + ) -> + if length l1 == length l2 + then decomposeList $ zip (toList l1) (toList l2) + else failMatch "list lengths are not equal" + ( App_ symbol [InternalList_ InternalList{internalListChild = l1}, var@(ElemVar_ _)] + , InternalList_ InternalList{internalListChild = l2} + ) + | List.isSymbolConcat symbol -> + if length l1 <= length l2 + then + let (start, l2') = Seq.splitAt (length l1) l2 + in decomposeList $ (var, List.asInternal tools sort l2') : zip (toList l1) (toList start) + else failMatch "subject list is too short" + ( App_ symbol [var@(ElemVar_ _), InternalList_ InternalList{internalListChild = l1}] + , InternalList_ InternalList{internalListChild = l2} + ) + | List.isSymbolConcat symbol -> + if length l1 <= length l2 + then + let (l2', end) = Seq.splitAt (length l2 - length l1) l2 + in decomposeList $ (var, List.asInternal tools sort l2') : zip (toList l1) (toList end) + else failMatch "subject list is too short" + ( App_ symbol1 [InternalList_ InternalList{internalListChild = l1}, var1@(ElemVar_ _)] + , App_ symbol2 [InternalList_ InternalList{internalListChild = l2}, var2@(ElemVar_ _)] + ) -- NB: may need to add the symmetric case in future, i.e. VAR _List_ ListItem(X) + | List.isSymbolConcat symbol1 + , symbol1 == symbol2 -> + if length l1 <= length l2 + then + let (start, l2') = Seq.splitAt (length l1) l2 + in decomposeList $ + (var1, List.asInternal tools sort (l2' :|> var2)) + : zip (toList l1) (toList start) + else failMatch "subject list is too short" + (App_ symbol1 children1, App_ symbol2 children2) -> + if symbol1 == symbol2 + then decomposeList (zip children1 children2) + else + failMatch $ + "distinct application symbols: " <> (unparseToText symbol1) <> ", " <> (unparseToText symbol2) + _ -> + failMatch + "unimplemented list matching case" (Inj_ inj1, Inj_ inj2) | Just unifyData <- matchInjs inj1 inj2 -> case unifyData of @@ -436,42 +494,6 @@ patternMatch' sideCondition ((MatchItem pat subject boundVars boundSet) : rest) (Application secondHead secondChildren) inj1{injChild = ()} -> decomposeOverload unifyData - (_, _) - | Just True <- List.isListSort tools sort -> - case (List.normalize pat, List.normalize subject) of - (Var_ var1, Var_ var2) - | var1 == var2 -> - discharge - (ElemVar_ var1, _) - | isFunctionPattern subject -> - bind (inject var1) subject - (SetVar_ var1, _) -> - bind (inject var1) subject - ( InternalList_ InternalList{internalListChild = l1} - , InternalList_ InternalList{internalListChild = l2} - ) -> - if length l1 == length l2 - then decomposeList $ zip (toList l1) (toList l2) - else failMatch "list lengths are not equal" - ( App_ symbol [InternalList_ InternalList{internalListChild = l1}, var@(ElemVar_ _)] - , InternalList_ InternalList{internalListChild = l2} - ) - | List.isSymbolConcat symbol -> - if length l1 <= length l2 - then - let (start, l2') = Seq.splitAt (length l1) l2 - in decomposeList $ (var, List.asInternal tools sort l2') : zip (toList l1) (toList start) - else failMatch "subject list is too short" - ( App_ symbol [var@(ElemVar_ _), InternalList_ InternalList{internalListChild = l1}] - , InternalList_ InternalList{internalListChild = l2} - ) - | List.isSymbolConcat symbol -> - if length l1 <= length l2 - then - let (l2', end) = Seq.splitAt (length l2 - length l1) l2 - in decomposeList $ (var, List.asInternal tools sort l2') : zip (toList l1) (toList end) - else failMatch "subject list is too short" - _ -> failMatch "unimplemented list matching case" (InternalMap_ _, InternalMap_ _) -> defer (InternalSet_ _, InternalSet_ _) -> diff --git a/kore/src/Kore/Rewrite/SMT/Translate.hs b/kore/src/Kore/Rewrite/SMT/Translate.hs index b553c76dc4..ba3014fd62 100644 --- a/kore/src/Kore/Rewrite/SMT/Translate.hs +++ b/kore/src/Kore/Rewrite/SMT/Translate.hs @@ -240,7 +240,7 @@ translatePredicateWith tools sideCondition translateTerm predicate = | builtinSort == Builtin.Int.sort -> pure SMT.tInt _ -> translateSort tools variableSort & maybeToTranslator Attribute.Sort{hook = Hook{getHook}} = - sortAttributes tools variableSort + unsafeSortAttributes tools variableSort {- | Attempt to translate an arbitrary ML pattern for the solver. It should only be used in the 'Predicate' translator or in @@ -270,7 +270,7 @@ translatePattern tools sideCondition translateTerm sort pat = _ -> empty where Attribute.Sort{hook = Hook{getHook}} = - sortAttributes tools sort + unsafeSortAttributes tools sort translateInt :: TermLike variable -> Translator variable monad SExpr translateInt pat' diff --git a/kore/src/Kore/Validate/AttributesVerifier.hs b/kore/src/Kore/Validate/AttributesVerifier.hs index caaadb47c2..0c7efbfe92 100644 --- a/kore/src/Kore/Validate/AttributesVerifier.hs +++ b/kore/src/Kore/Validate/AttributesVerifier.hs @@ -150,7 +150,7 @@ verifyNoHookedSupersort indexedModule axiom subsorts = do let isHooked = getHasDomainValues . hasDomainValues - . getSortAttributes (indexedModuleSyntax indexedModule) + . (unsafeGetSortAttributes (indexedModuleSyntax indexedModule)) . Subsort.supersort hookedSubsort = find isHooked subsorts for_ hookedSubsort $ \sort -> diff --git a/test/rpc-server/execute/list-matching/README.md b/test/rpc-server/execute/list-matching/README.md new file mode 100644 index 0000000000..6d9fc4f766 --- /dev/null +++ b/test/rpc-server/execute/list-matching/README.md @@ -0,0 +1,5 @@ +# Simplifying a list concatenation expression + +The rewrite rule in `test.k` introduces a symbolic list expression into the path condition, that is immediately simplified to `true` by the `simplify-size` simplification. + +See the original issue for context: https://github.com/runtimeverification/haskell-backend/issues/3749 diff --git a/test/rpc-server/execute/list-matching/definition.kore b/test/rpc-server/execute/list-matching/definition.kore new file mode 100644 index 0000000000..a46c7fd5dd --- /dev/null +++ b/test/rpc-server/execute/list-matching/definition.kore @@ -0,0 +1,2700 @@ +[topCellInitializer{}(LblinitGeneratedTopCell{}()), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/geo2a/Workspace/RV/haskell-backend/other-pr/test/rpc-server/simplify/list-matching/test.k)")] + +module BASIC-K + sort SortK{} [] + sort SortKItem{} [] +endmodule +[] +module KSEQ + import BASIC-K [] + symbol kseq{}(SortKItem{}, SortK{}) : SortK{} [constructor{}(), functional{}(), injective{}()] + symbol dotk{}() : SortK{} [constructor{}(), functional{}(), injective{}()] + symbol append{}(SortK{}, SortK{}) : SortK{} [function{}(), functional{}()] + axiom {R} \implies{R}( + \and{R}( + \top{R}(), + \and{R}( + \in{SortK{}, R}(X0:SortK{}, dotk{}()), + \and{R}( + \in{SortK{}, R}(X1:SortK{}, TAIL:SortK{}), + \top{R}() + )) + ), + \equals{SortK{}, R}( + append{}(X0:SortK{}, X1:SortK{}), + \and{SortK{}}( + TAIL:SortK{}, + \top{SortK{}}() + ) + ) + ) [] + axiom {R} \implies{R}( + \and{R}( + \top{R}(), + \and{R}( + \in{SortK{}, R}(X0:SortK{}, kseq{}(K:SortKItem{}, KS:SortK{})), + \and{R}( + \in{SortK{}, R}(X1:SortK{}, TAIL:SortK{}), + \top{R}() + )) + ), + \equals{SortK{}, R}( + append{}(X0:SortK{}, X1:SortK{}), + \and{SortK{}}( + kseq{}(K:SortKItem{}, append{}(KS:SortK{}, TAIL:SortK{})), + \top{SortK{}}() + ) + ) + ) [] +endmodule +[] +module INJ + symbol inj{From, To}(From) : To [sortInjection{}()] + axiom {S1, S2, S3, R} \equals{S3, R}(inj{S2, S3}(inj{S1, S2}(T:S1)), inj{S1, S3}(T:S1)) [simplification{}()] +endmodule +[] +module K + import KSEQ [] + import INJ [] + alias weakExistsFinally{A}(A) : A where weakExistsFinally{A}(@X:A) := @X:A [] + alias weakAlwaysFinally{A}(A) : A where weakAlwaysFinally{A}(@X:A) := @X:A [] + alias allPathGlobally{A}(A) : A where allPathGlobally{A}(@X:A) := @X:A [] +endmodule +[] + +module TEST + +// imports + import K [] + +// sorts + sort SortKCellOpt{} [] + sort SortGeneratedTopCellFragment{} [] + hooked-sort SortList{} [concat{}(Lbl'Unds'List'Unds'{}()), element{}(LblListItem{}()), hook{}("LIST.List"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(913,3,913,32)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), unit{}(Lbl'Stop'List{}())] + sort SortKCell{} [] + sort SortGeneratedTopCell{} [] + sort SortGeneratedCounterCell{} [] + hooked-sort SortMap{} [concat{}(Lbl'Unds'Map'Unds'{}()), element{}(Lbl'UndsPipe'-'-GT-Unds'{}()), hook{}("MAP.Map"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(218,3,218,29)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), unit{}(Lbl'Stop'Map{}())] + sort SortGeneratedCounterCellOpt{} [] + sort SortKConfigVar{} [hasDomainValues{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(40,3,40,28)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/kast.md)"), token{}()] + hooked-sort SortInt{} [hasDomainValues{}(), hook{}("INT.Int"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1189,3,1189,29)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + hooked-sort SortSet{} [concat{}(Lbl'Unds'Set'Unds'{}()), element{}(LblSetItem{}()), hook{}("SET.Set"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(700,3,700,29)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), unit{}(Lbl'Stop'Set{}())] + sort SortPgm{} [] + hooked-sort SortBool{} [hasDomainValues{}(), hook{}("BOOL.Bool"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1068,3,1068,32)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// symbols + hooked-symbol Lbl'Hash'if'UndsHash'then'UndsHash'else'UndsHash'fi'Unds'K-EQUAL-SYNTAX'Unds'Sort'Unds'Bool'Unds'Sort'Unds'Sort{SortSort}(SortBool{}, SortSort, SortSort) : SortSort [format{}("%c#if%r %1 %c#then%r %2 %c#else%r %3 %c#fi%r"), function{}(), functional{}(), hook{}("KEQUAL.ite"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2282,26,2282,119)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smt-hook{}("ite"), terminals{}("1010101"), total{}()] + hooked-symbol Lbl'Stop'List{}() : SortList{} [format{}("%c.List%r"), function{}(), functional{}(), hook{}("LIST.unit"), klabel{}(".List"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(937,19,937,121)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smtlib{}("smt_seq_nil"), symbol'Kywd'{}(), terminals{}("1"), total{}()] + hooked-symbol Lbl'Stop'Map{}() : SortMap{} [format{}("%c.Map%r"), function{}(), functional{}(), hook{}("MAP.unit"), klabel{}(".Map"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(248,18,248,104)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("1"), total{}()] + hooked-symbol Lbl'Stop'Set{}() : SortSet{} [format{}("%c.Set%r"), function{}(), functional{}(), hook{}("SET.unit"), klabel{}(".Set"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(729,18,729,98)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("1"), total{}()] + symbol Lbl'-LT-'generatedCounter'-GT-'{}(SortInt{}) : SortGeneratedCounterCell{} [constructor{}(), format{}("%c%r%i%n%1%d%n%c%r"), functional{}(), injective{}(), left{}(), priorities{}(), right{}(), terminals{}("101")] + symbol Lbl'-LT-'generatedTop'-GT-'{}(SortKCell{}, SortGeneratedCounterCell{}) : SortGeneratedTopCell{} [constructor{}(), format{}("%1"), functional{}(), injective{}(), left{}(), priorities{}(), right{}(), terminals{}("1001")] + symbol Lbl'-LT-'generatedTop'-GT-'-fragment{}(SortKCellOpt{}, SortGeneratedCounterCellOpt{}) : SortGeneratedTopCellFragment{} [constructor{}(), format{}("%c-fragment%r %1 %2 %c-fragment%r"), functional{}(), injective{}(), left{}(), priorities{}(), right{}(), terminals{}("1001")] + symbol Lbl'-LT-'k'-GT-'{}(SortK{}) : SortKCell{} [constructor{}(), format{}("%c%r%i%n%1%d%n%c%r"), functional{}(), injective{}(), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(6,17,6,34)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/geo2a/Workspace/RV/haskell-backend/other-pr/test/rpc-server/simplify/list-matching/test.k)"), priorities{}(), right{}(), terminals{}("101")] + hooked-symbol LblList'Coln'get{}(SortList{}, SortInt{}) : SortKItem{} [format{}("%1 %c[%r %2 %c]%r"), function{}(), hook{}("LIST.get"), klabel{}("List:get"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(956,20,956,99)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("0101")] + hooked-symbol LblList'Coln'range{}(SortList{}, SortInt{}, SortInt{}) : SortList{} [format{}("%crange%r %c(%r %1 %c,%r %2 %c,%r %3 %c)%r"), function{}(), hook{}("LIST.range"), klabel{}("List:range"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1003,19,1003,120)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("11010101")] + hooked-symbol LblListItem{}(SortKItem{}) : SortList{} [format{}("%cListItem%r %c(%r %1 %c)%r"), function{}(), functional{}(), hook{}("LIST.element"), klabel{}("ListItem"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(945,19,945,132)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smtlib{}("smt_seq_elem"), symbol'Kywd'{}(), terminals{}("1101"), total{}()] + hooked-symbol LblMap'Coln'lookup{}(SortMap{}, SortKItem{}) : SortKItem{} [format{}("%1 %c[%r %2 %c]%r"), function{}(), hook{}("MAP.lookup"), klabel{}("Map:lookup"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(271,20,271,113)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("0101")] + hooked-symbol LblMap'Coln'update{}(SortMap{}, SortKItem{}, SortKItem{}) : SortMap{} [format{}("%1 %c[%r %2 %c<-%r %3 %c]%r"), function{}(), functional{}(), hook{}("MAP.update"), klabel{}("Map:update"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(290,18,290,140)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("010101"), total{}()] + hooked-symbol LblSet'Coln'difference{}(SortSet{}, SortSet{}) : SortSet{} [format{}("%1 %c-Set%r %2"), function{}(), functional{}(), hook{}("SET.difference"), klabel{}("Set:difference"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(769,18,769,114)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol LblSet'Coln'in{}(SortKItem{}, SortSet{}) : SortBool{} [format{}("%1 %cin%r %2"), function{}(), functional{}(), hook{}("SET.in"), klabel{}("Set:in"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(777,19,777,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol LblSetItem{}(SortKItem{}) : SortSet{} [format{}("%cSetItem%r %c(%r %1 %c)%r"), function{}(), functional{}(), hook{}("SET.element"), injective{}(), klabel{}("SetItem"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(737,18,737,119)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("1101"), total{}()] + hooked-symbol Lbl'UndsPerc'Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%1 %c%%Int%r %2"), function{}(), hook{}("INT.tmod"), klabel{}("_%Int_"), left{}(Lbl'UndsStar'Int'Unds'{}(),Lbl'Unds'divInt'Unds'{}(),Lbl'UndsPerc'Int'Unds'{}(),Lbl'UndsSlsh'Int'Unds'{}(),Lbl'Unds'modInt'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1237,18,1237,120)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}(),Lbl'Unds'-Int'Unds'{}()), right{}(), smt-hook{}("mod"), symbol'Kywd'{}(), terminals{}("010")] + hooked-symbol Lbl'UndsAnd-'Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [comm{}(), format{}("%1 %c&Int%r %2"), function{}(), functional{}(), hook{}("INT.and"), klabel{}("_&Int_"), left{}(Lbl'UndsAnd-'Int'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1248,18,1248,133)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}()), right{}(), smtlib{}("andInt"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'UndsStar'Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [comm{}(), format{}("%1 %c*Int%r %2"), function{}(), functional{}(), hook{}("INT.mul"), klabel{}("_*Int_"), left{}(Lbl'Unds'modInt'Unds'{}(),Lbl'UndsPerc'Int'Unds'{}(),Lbl'UndsSlsh'Int'Unds'{}(),Lbl'Unds'divInt'Unds'{}(),Lbl'UndsStar'Int'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1233,18,1233,130)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}(),Lbl'Unds'-Int'Unds'{}()), right{}(), smt-hook{}("*"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'UndsPlus'Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [comm{}(), format{}("%1 %c+Int%r %2"), function{}(), functional{}(), hook{}("INT.add"), klabel{}("_+Int_"), left{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds'-Int'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1242,18,1242,130)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}()), right{}(), smt-hook{}("+"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'-Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%1 %c-Int%r %2"), function{}(), functional{}(), hook{}("INT.sub"), klabel{}("_-Int_"), left{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds'-Int'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1243,18,1243,124)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}()), right{}(), smt-hook{}("-"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'-Map'UndsUnds'MAP'Unds'Map'Unds'Map'Unds'Map{}(SortMap{}, SortMap{}) : SortMap{} [format{}("%1 %c-Map%r %2"), function{}(), functional{}(), hook{}("MAP.difference"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(311,18,311,88)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'UndsSlsh'Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%1 %c/Int%r %2"), function{}(), hook{}("INT.tdiv"), klabel{}("_/Int_"), left{}(Lbl'UndsSlsh'Int'Unds'{}(),Lbl'Unds'modInt'Unds'{}(),Lbl'Unds'divInt'Unds'{}(),Lbl'UndsPerc'Int'Unds'{}(),Lbl'UndsStar'Int'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1236,18,1236,120)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}(),Lbl'Unds'-Int'Unds'{}()), right{}(), smt-hook{}("div"), symbol'Kywd'{}(), terminals{}("010")] + hooked-symbol Lbl'Unds-LT--LT-'Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%1 %c<=Int%r %2"), function{}(), functional{}(), hook{}("INT.ge"), klabel{}("_>=Int_"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1306,19,1306,113)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smt-hook{}(">="), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds-GT--GT-'Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%1 %c>>Int%r %2"), function{}(), hook{}("INT.shr"), klabel{}("_>>Int_"), left{}(Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'Unds-GT--GT-'Int'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1245,18,1245,121)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}()), right{}(), smtlib{}("shrInt"), symbol'Kywd'{}(), terminals{}("010")] + hooked-symbol Lbl'Unds-GT-'Int'Unds'{}(SortInt{}, SortInt{}) : SortBool{} [format{}("%1 %c>Int%r %2"), function{}(), functional{}(), hook{}("INT.gt"), klabel{}("_>Int_"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1307,19,1307,111)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smt-hook{}(">"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'List'Unds'{}(SortList{}, SortList{}) : SortList{} [assoc{}(), element{}(LblListItem{}()), format{}("%1%n%2"), function{}(), functional{}(), hook{}("LIST.concat"), klabel{}("_List_"), left{}(Lbl'Unds'List'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(929,19,929,188)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smtlib{}("smt_seq_concat"), symbol'Kywd'{}(), terminals{}("00"), total{}(), unit{}(Lbl'Stop'List{}())] + hooked-symbol Lbl'Unds'Map'Unds'{}(SortMap{}, SortMap{}) : SortMap{} [assoc{}(), comm{}(), element{}(Lbl'UndsPipe'-'-GT-Unds'{}()), format{}("%1%n%2"), function{}(), hook{}("MAP.concat"), klabel{}("_Map_"), left{}(Lbl'Unds'Map'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(240,18,240,173)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("00"), unit{}(Lbl'Stop'Map{}())] + hooked-symbol Lbl'Unds'Set'Unds'{}(SortSet{}, SortSet{}) : SortSet{} [assoc{}(), comm{}(), element{}(LblSetItem{}()), format{}("%1%n%2"), function{}(), hook{}("SET.concat"), idem{}(), klabel{}("_Set_"), left{}(Lbl'Unds'Set'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(721,18,721,165)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("00"), unit{}(Lbl'Stop'Set{}())] + hooked-symbol Lbl'UndsLSqBUnds-LT-'-'UndsRSqBUnds'LIST'Unds'List'Unds'List'Unds'Int'Unds'KItem{}(SortList{}, SortInt{}, SortKItem{}) : SortList{} [format{}("%1 %c[%r %2 %c<-%r %3 %c]%r"), function{}(), hook{}("LIST.update"), klabel{}("List:set"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(965,19,965,108)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("010101")] + hooked-symbol Lbl'UndsLSqBUnds-LT-'-undef'RSqB'{}(SortMap{}, SortKItem{}) : SortMap{} [format{}("%1 %c[%r %2 %c<-%r %cundef%r %c]%r"), function{}(), functional{}(), hook{}("MAP.remove"), klabel{}("_[_<-undef]"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(299,18,299,117)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), symbol'Kywd'{}(), terminals{}("010111"), total{}()] + hooked-symbol Lbl'UndsLSqBUndsRSqB'orDefault'UndsUnds'MAP'Unds'KItem'Unds'Map'Unds'KItem'Unds'KItem{}(SortMap{}, SortKItem{}, SortKItem{}) : SortKItem{} [format{}("%1 %c[%r %2 %c]%r %corDefault%r %3"), function{}(), functional{}(), hook{}("MAP.lookupOrDefault"), klabel{}("Map:lookupOrDefault"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(281,20,281,134)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("010110"), total{}()] + hooked-symbol Lbl'UndsXor-Perc'Int'UndsUnds'{}(SortInt{}, SortInt{}, SortInt{}) : SortInt{} [format{}("%1 %c^%%Int%r %2 %3"), function{}(), hook{}("INT.powmod"), klabel{}("_^%Int__"), left{}(Lbl'UndsXor-Perc'Int'UndsUnds'{}(),Lbl'UndsXor-'Int'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1231,18,1231,139)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds'divInt'Unds'{}(),Lbl'UndsPerc'Int'Unds'{}(),Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsSlsh'Int'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsStar'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}(),Lbl'Unds'modInt'Unds'{}(),Lbl'Unds'-Int'Unds'{}()), right{}(), smt-hook{}("(mod (^ #1 #2) #3)"), symbol'Kywd'{}(), terminals{}("0100")] + hooked-symbol Lbl'UndsXor-'Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%1 %c^Int%r %2"), function{}(), hook{}("INT.pow"), klabel{}("_^Int_"), left{}(Lbl'UndsXor-'Int'Unds'{}(),Lbl'UndsXor-Perc'Int'UndsUnds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1230,18,1230,117)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds'divInt'Unds'{}(),Lbl'UndsPerc'Int'Unds'{}(),Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsSlsh'Int'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsStar'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}(),Lbl'Unds'modInt'Unds'{}(),Lbl'Unds'-Int'Unds'{}()), right{}(), smt-hook{}("^"), symbol'Kywd'{}(), terminals{}("010")] + hooked-symbol Lbl'Unds'andBool'Unds'{}(SortBool{}, SortBool{}) : SortBool{} [format{}("%1 %candBool%r %2"), function{}(), functional{}(), hook{}("BOOL.and"), klabel{}("_andBool_"), left{}(Lbl'Unds'andBool'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1101,19,1101,146)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsEqlsSlshEqls'Bool'Unds'{}(),Lbl'UndsEqlsEqls'Bool'Unds'{}()), right{}(), smt-hook{}("and"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'andThenBool'Unds'{}(SortBool{}, SortBool{}) : SortBool{} [format{}("%1 %candThenBool%r %2"), function{}(), functional{}(), hook{}("BOOL.andThen"), klabel{}("_andThenBool_"), left{}(Lbl'Unds'andThenBool'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1102,19,1102,154)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsEqlsSlshEqls'Bool'Unds'{}(),Lbl'UndsEqlsEqls'Bool'Unds'{}()), right{}(), smt-hook{}("and"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'divInt'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%1 %cdivInt%r %2"), function{}(), hook{}("INT.ediv"), klabel{}("_divInt_"), left{}(Lbl'UndsSlsh'Int'Unds'{}(),Lbl'Unds'modInt'Unds'{}(),Lbl'UndsStar'Int'Unds'{}(),Lbl'UndsPerc'Int'Unds'{}(),Lbl'Unds'divInt'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1239,18,1239,122)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}(),Lbl'Unds'-Int'Unds'{}()), right{}(), smt-hook{}("div"), symbol'Kywd'{}(), terminals{}("010")] + symbol Lbl'Unds'dividesInt'UndsUnds'INT-COMMON'Unds'Bool'Unds'Int'Unds'Int{}(SortInt{}, SortInt{}) : SortBool{} [format{}("%1 %cdividesInt%r %2"), function{}(), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1318,19,1318,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("010")] + hooked-symbol Lbl'Unds'impliesBool'Unds'{}(SortBool{}, SortBool{}) : SortBool{} [format{}("%1 %cimpliesBool%r %2"), function{}(), functional{}(), hook{}("BOOL.implies"), klabel{}("_impliesBool_"), left{}(Lbl'Unds'impliesBool'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1106,19,1106,153)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsEqlsSlshEqls'Bool'Unds'{}(),Lbl'UndsEqlsEqls'Bool'Unds'{}()), right{}(), smt-hook{}("=>"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'in'UndsUnds'LIST'Unds'Bool'Unds'KItem'Unds'List{}(SortKItem{}, SortList{}) : SortBool{} [format{}("%1 %cin%r %2"), function{}(), functional{}(), hook{}("LIST.in"), klabel{}("_inList_"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1012,19,1012,97)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'in'Unds'keys'LParUndsRParUnds'MAP'Unds'Bool'Unds'KItem'Unds'Map{}(SortKItem{}, SortMap{}) : SortBool{} [format{}("%1 %cin_keys%r %c(%r %2 %c)%r"), function{}(), functional{}(), hook{}("MAP.in_keys"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(357,19,357,89)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("01101"), total{}()] + hooked-symbol Lbl'Unds'modInt'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%1 %cmodInt%r %2"), function{}(), hook{}("INT.emod"), klabel{}("_modInt_"), left{}(Lbl'UndsStar'Int'Unds'{}(),Lbl'UndsPerc'Int'Unds'{}(),Lbl'Unds'divInt'Unds'{}(),Lbl'UndsSlsh'Int'Unds'{}(),Lbl'Unds'modInt'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1240,18,1240,122)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}(),Lbl'Unds'-Int'Unds'{}()), right{}(), smt-hook{}("mod"), symbol'Kywd'{}(), terminals{}("010")] + hooked-symbol Lbl'Unds'orBool'Unds'{}(SortBool{}, SortBool{}) : SortBool{} [format{}("%1 %corBool%r %2"), function{}(), functional{}(), hook{}("BOOL.or"), klabel{}("_orBool_"), left{}(Lbl'Unds'orBool'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1104,19,1104,143)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsEqlsSlshEqls'Bool'Unds'{}(),Lbl'UndsEqlsEqls'Bool'Unds'{}()), right{}(), smt-hook{}("or"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'orElseBool'Unds'{}(SortBool{}, SortBool{}) : SortBool{} [format{}("%1 %corElseBool%r %2"), function{}(), functional{}(), hook{}("BOOL.orElse"), klabel{}("_orElseBool_"), left{}(Lbl'Unds'orElseBool'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1105,19,1105,151)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsEqlsSlshEqls'Bool'Unds'{}(),Lbl'UndsEqlsEqls'Bool'Unds'{}()), right{}(), smt-hook{}("or"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'xorBool'Unds'{}(SortBool{}, SortBool{}) : SortBool{} [format{}("%1 %cxorBool%r %2"), function{}(), functional{}(), hook{}("BOOL.xor"), klabel{}("_xorBool_"), left{}(Lbl'Unds'xorBool'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1103,19,1103,146)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsEqlsSlshEqls'Bool'Unds'{}(),Lbl'UndsEqlsEqls'Bool'Unds'{}()), right{}(), smt-hook{}("xor"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'Unds'xorInt'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [comm{}(), format{}("%1 %cxorInt%r %2"), function{}(), functional{}(), hook{}("INT.xor"), klabel{}("_xorInt_"), left{}(Lbl'Unds'xorInt'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1250,18,1250,135)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsPipe'Int'Unds'{}()), right{}(), smtlib{}("xorInt"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'UndsPipe'-'-GT-Unds'{}(SortKItem{}, SortKItem{}) : SortMap{} [format{}("%1 %c|->%r %2"), function{}(), functional{}(), hook{}("MAP.element"), injective{}(), klabel{}("_|->_"), left{}(Lbl'UndsPipe'-'-GT-Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(257,18,257,127)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'Stop'Map{}(),Lbl'Unds'Map'Unds'{}()), right{}(Lbl'UndsPipe'-'-GT-Unds'{}()), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'UndsPipe'Int'Unds'{}(SortInt{}, SortInt{}) : SortInt{} [comm{}(), format{}("%1 %c|Int%r %2"), function{}(), functional{}(), hook{}("INT.or"), klabel{}("_|Int_"), left{}(Lbl'UndsPipe'Int'Unds'{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1252,18,1252,131)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smtlib{}("orInt"), symbol'Kywd'{}(), terminals{}("010"), total{}()] + hooked-symbol Lbl'UndsPipe'Set'UndsUnds'SET'Unds'Set'Unds'Set'Unds'Set{}(SortSet{}, SortSet{}) : SortSet{} [comm{}(), format{}("%1 %c|Set%r %2"), function{}(), functional{}(), hook{}("SET.union"), left{}(Lbl'UndsPipe'Set'UndsUnds'SET'Unds'Set'Unds'Set'Unds'Set{}()), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(748,18,748,92)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("010"), total{}()] + hooked-symbol LblabsInt'LParUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int{}(SortInt{}) : SortInt{} [format{}("%cabsInt%r %c(%r %1 %c)%r"), function{}(), functional{}(), hook{}("INT.abs"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1269,18,1269,119)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smt-hook{}("(ite (< #1 0) (- 0 #1) #1)"), terminals{}("1101"), total{}()] + symbol Lblbar'LParRParUnds'TEST'Unds'Pgm{}() : SortPgm{} [constructor{}(), format{}("%cbar%r %c(%r %c)%r"), functional{}(), injective{}(), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(8,26,8,31)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/geo2a/Workspace/RV/haskell-backend/other-pr/test/rpc-server/simplify/list-matching/test.k)"), priorities{}(), right{}(), terminals{}("111")] + hooked-symbol LblbitRangeInt'LParUndsCommUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int'Unds'Int{}(SortInt{}, SortInt{}, SortInt{}) : SortInt{} [format{}("%cbitRangeInt%r %c(%r %1 %c,%r %2 %c,%r %3 %c)%r"), function{}(), hook{}("INT.bitRange"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1294,18,1294,103)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("11010101")] + hooked-symbol Lblchoice'LParUndsRParUnds'MAP'Unds'KItem'Unds'Map{}(SortMap{}) : SortKItem{} [format{}("%cchoice%r %c(%r %1 %c)%r"), function{}(), hook{}("MAP.choice"), klabel{}("Map:choice"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(393,20,393,101)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101")] + hooked-symbol Lblchoice'LParUndsRParUnds'SET'Unds'KItem'Unds'Set{}(SortSet{}) : SortKItem{} [format{}("%cchoice%r %c(%r %1 %c)%r"), function{}(), hook{}("SET.choice"), klabel{}("Set:choice"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(804,20,804,95)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101")] + hooked-symbol LblfillList'LParUndsCommUndsCommUndsCommUndsRParUnds'LIST'Unds'List'Unds'List'Unds'Int'Unds'Int'Unds'KItem{}(SortList{}, SortInt{}, SortInt{}, SortKItem{}) : SortList{} [format{}("%cfillList%r %c(%r %1 %c,%r %2 %c,%r %3 %c,%r %4 %c)%r"), function{}(), hook{}("LIST.fill"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(993,19,993,100)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101010101")] + symbol Lblfoo'LParRParUnds'TEST'Unds'Pgm{}() : SortPgm{} [constructor{}(), format{}("%cfoo%r %c(%r %c)%r"), functional{}(), injective{}(), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(8,18,8,23)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/geo2a/Workspace/RV/haskell-backend/other-pr/test/rpc-server/simplify/list-matching/test.k)"), priorities{}(), right{}(), terminals{}("111")] + symbol LblfreshInt'LParUndsRParUnds'INT'Unds'Int'Unds'Int{}(SortInt{}) : SortInt{} [format{}("%cfreshInt%r %c(%r %1 %c)%r"), freshGenerator{}(), function{}(), functional{}(), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1432,18,1432,77)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblgetGeneratedCounterCell{}(SortGeneratedTopCell{}) : SortGeneratedCounterCell{} [format{}("%cgetGeneratedCounterCell%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol LblinitGeneratedCounterCell{}() : SortGeneratedCounterCell{} [format{}("%cinitGeneratedCounterCell%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1")] + symbol LblinitGeneratedTopCell{}(SortMap{}) : SortGeneratedTopCell{} [format{}("%cinitGeneratedTopCell%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol LblinitKCell{}(SortMap{}) : SortKCell{} [format{}("%cinitKCell%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + hooked-symbol LblintersectSet'LParUndsCommUndsRParUnds'SET'Unds'Set'Unds'Set'Unds'Set{}(SortSet{}, SortSet{}) : SortSet{} [comm{}(), format{}("%cintersectSet%r %c(%r %1 %c,%r %2 %c)%r"), function{}(), functional{}(), hook{}("SET.intersection"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(759,18,759,90)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("110101"), total{}()] + symbol LblisBool{}(SortK{}) : SortBool{} [format{}("%cisBool%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisGeneratedCounterCell{}(SortK{}) : SortBool{} [format{}("%cisGeneratedCounterCell%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisGeneratedCounterCellOpt{}(SortK{}) : SortBool{} [format{}("%cisGeneratedCounterCellOpt%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisGeneratedTopCell{}(SortK{}) : SortBool{} [format{}("%cisGeneratedTopCell%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisGeneratedTopCellFragment{}(SortK{}) : SortBool{} [format{}("%cisGeneratedTopCellFragment%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisInt{}(SortK{}) : SortBool{} [format{}("%cisInt%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisK{}(SortK{}) : SortBool{} [format{}("%cisK%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisKCell{}(SortK{}) : SortBool{} [format{}("%cisKCell%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisKCellOpt{}(SortK{}) : SortBool{} [format{}("%cisKCellOpt%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisKConfigVar{}(SortK{}) : SortBool{} [format{}("%cisKConfigVar%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisKItem{}(SortK{}) : SortBool{} [format{}("%cisKItem%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisList{}(SortK{}) : SortBool{} [format{}("%cisList%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisMap{}(SortK{}) : SortBool{} [format{}("%cisMap%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisPgm{}(SortK{}) : SortBool{} [format{}("%cisPgm%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + symbol LblisSet{}(SortK{}) : SortBool{} [format{}("%cisSet%r %c(%r %1 %c)%r"), function{}(), functional{}(), left{}(), priorities{}(), right{}(), terminals{}("1101"), total{}()] + hooked-symbol Lblkeys'LParUndsRParUnds'MAP'Unds'Set'Unds'Map{}(SortMap{}) : SortSet{} [format{}("%ckeys%r %c(%r %1 %c)%r"), function{}(), functional{}(), hook{}("MAP.keys"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(341,18,341,82)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101"), total{}()] + hooked-symbol Lblkeys'Unds'list'LParUndsRParUnds'MAP'Unds'List'Unds'Map{}(SortMap{}) : SortList{} [format{}("%ckeys_list%r %c(%r %1 %c)%r"), function{}(), hook{}("MAP.keys_list"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(349,19,349,80)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101")] + hooked-symbol Lbllog2Int'LParUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int{}(SortInt{}) : SortInt{} [format{}("%clog2Int%r %c(%r %1 %c)%r"), function{}(), hook{}("INT.log2"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1280,18,1280,75)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101")] + hooked-symbol LblmakeList'LParUndsCommUndsRParUnds'LIST'Unds'List'Unds'Int'Unds'KItem{}(SortInt{}, SortKItem{}) : SortList{} [format{}("%cmakeList%r %c(... %r length: %1 %c,%r value: %2 %c)%r"), function{}(), hook{}("LIST.make"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(974,19,974,82)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("110101")] + hooked-symbol LblmaxInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%cmaxInt%r %c(%r %1 %c,%r %2 %c)%r"), function{}(), functional{}(), hook{}("INT.max"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1261,18,1261,114)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smt-hook{}("(ite (< #1 #2) #2 #1)"), terminals{}("110101"), total{}()] + hooked-symbol LblminInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(SortInt{}, SortInt{}) : SortInt{} [format{}("%cminInt%r %c(%r %1 %c,%r %2 %c)%r"), function{}(), functional{}(), hook{}("INT.min"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1260,18,1260,114)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smt-hook{}("(ite (< #1 #2) #1 #2)"), terminals{}("110101"), total{}()] + symbol LblnoGeneratedCounterCell{}() : SortGeneratedCounterCellOpt{} [constructor{}(), format{}("%cnoGeneratedCounterCell%r"), functional{}(), injective{}(), left{}(), priorities{}(), right{}(), terminals{}("1")] + symbol LblnoKCell{}() : SortKCellOpt{} [constructor{}(), format{}("%cnoKCell%r"), functional{}(), injective{}(), left{}(), priorities{}(), right{}(), terminals{}("1")] + hooked-symbol LblnotBool'Unds'{}(SortBool{}) : SortBool{} [format{}("%cnotBool%r %1"), function{}(), functional{}(), hook{}("BOOL.not"), klabel{}("notBool_"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1100,19,1100,139)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'Unds'orElseBool'Unds'{}(),Lbl'Unds'orBool'Unds'{}(),Lbl'UndsEqlsSlshEqls'Bool'Unds'{}(),Lbl'Unds'andThenBool'Unds'{}(),Lbl'Unds'impliesBool'Unds'{}(),Lbl'UndsEqlsEqls'Bool'Unds'{}(),Lbl'Unds'andBool'Unds'{}(),Lbl'Unds'xorBool'Unds'{}()), right{}(), smt-hook{}("not"), symbol'Kywd'{}(), terminals{}("10"), total{}()] + symbol Lblproject'Coln'Bool{}(SortK{}) : SortBool{} [format{}("%cproject:Bool%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'GeneratedCounterCell{}(SortK{}) : SortGeneratedCounterCell{} [format{}("%cproject:GeneratedCounterCell%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'GeneratedCounterCellOpt{}(SortK{}) : SortGeneratedCounterCellOpt{} [format{}("%cproject:GeneratedCounterCellOpt%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'GeneratedTopCell{}(SortK{}) : SortGeneratedTopCell{} [format{}("%cproject:GeneratedTopCell%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'GeneratedTopCellFragment{}(SortK{}) : SortGeneratedTopCellFragment{} [format{}("%cproject:GeneratedTopCellFragment%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'Int{}(SortK{}) : SortInt{} [format{}("%cproject:Int%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'K{}(SortK{}) : SortK{} [format{}("%cproject:K%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'KCell{}(SortK{}) : SortKCell{} [format{}("%cproject:KCell%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'KCellOpt{}(SortK{}) : SortKCellOpt{} [format{}("%cproject:KCellOpt%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'KItem{}(SortK{}) : SortKItem{} [format{}("%cproject:KItem%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'List{}(SortK{}) : SortList{} [format{}("%cproject:List%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'Map{}(SortK{}) : SortMap{} [format{}("%cproject:Map%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'Pgm{}(SortK{}) : SortPgm{} [format{}("%cproject:Pgm%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + symbol Lblproject'Coln'Set{}(SortK{}) : SortSet{} [format{}("%cproject:Set%r %c(%r %1 %c)%r"), function{}(), left{}(), priorities{}(), right{}(), terminals{}("1101")] + hooked-symbol LblrandInt'LParUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int{}(SortInt{}) : SortInt{} [format{}("%crandInt%r %c(%r %1 %c)%r"), function{}(), hook{}("INT.rand"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1328,18,1328,65)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101")] + hooked-symbol LblremoveAll'LParUndsCommUndsRParUnds'MAP'Unds'Map'Unds'Map'Unds'Set{}(SortMap{}, SortSet{}) : SortMap{} [format{}("%cremoveAll%r %c(%r %1 %c,%r %2 %c)%r"), function{}(), functional{}(), hook{}("MAP.removeAll"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(333,18,333,87)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("110101"), total{}()] + hooked-symbol LblsignExtendBitRangeInt'LParUndsCommUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int'Unds'Int{}(SortInt{}, SortInt{}, SortInt{}) : SortInt{} [format{}("%csignExtendBitRangeInt%r %c(%r %1 %c,%r %2 %c,%r %3 %c)%r"), function{}(), hook{}("INT.signExtendBitRange"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1295,18,1295,113)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("11010101")] + hooked-symbol Lblsize'LParUndsRParUnds'LIST'Unds'Int'Unds'List{}(SortList{}) : SortInt{} [format{}("%csize%r %c(%r %1 %c)%r"), function{}(), functional{}(), hook{}("LIST.size"), klabel{}("sizeList"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1020,18,1020,117)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), smtlib{}("smt_seq_len"), terminals{}("1101"), total{}()] + hooked-symbol Lblsize'LParUndsRParUnds'MAP'Unds'Int'Unds'Map{}(SortMap{}) : SortInt{} [format{}("%csize%r %c(%r %1 %c)%r"), function{}(), functional{}(), hook{}("MAP.size"), klabel{}("sizeMap"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(373,18,373,99)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101"), total{}()] + hooked-symbol Lblsize'LParUndsRParUnds'SET'Unds'Int'Unds'Set{}(SortSet{}) : SortInt{} [format{}("%csize%r %c(%r %1 %c)%r"), function{}(), functional{}(), hook{}("SET.size"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(794,18,794,76)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101"), total{}()] + hooked-symbol LblsrandInt'LParUndsRParUnds'INT-COMMON'Unds'K'Unds'Int{}(SortInt{}) : SortK{} [format{}("%csrandInt%r %c(%r %1 %c)%r"), function{}(), hook{}("INT.srand"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1329,16,1329,65)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101")] + hooked-symbol LblupdateList'LParUndsCommUndsCommUndsRParUnds'LIST'Unds'List'Unds'List'Unds'Int'Unds'List{}(SortList{}, SortInt{}, SortList{}) : SortList{} [format{}("%cupdateList%r %c(... %r dest: %1 %c,%r index: %2 %c,%r src: %3 %c)%r"), function{}(), hook{}("LIST.updateAll"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(984,19,984,97)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("11010101")] + hooked-symbol LblupdateMap'LParUndsCommUndsRParUnds'MAP'Unds'Map'Unds'Map'Unds'Map{}(SortMap{}, SortMap{}) : SortMap{} [format{}("%cupdateMap%r %c(%r %1 %c,%r %2 %c)%r"), function{}(), functional{}(), hook{}("MAP.updateAll"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(324,18,324,87)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("110101"), total{}()] + hooked-symbol Lblvalues'LParUndsRParUnds'MAP'Unds'List'Unds'Map{}(SortMap{}) : SortList{} [format{}("%cvalues%r %c(%r %1 %c)%r"), function{}(), hook{}("MAP.values"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(365,19,365,77)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(), right{}(), terminals{}("1101")] + hooked-symbol Lbl'Tild'Int'Unds'{}(SortInt{}) : SortInt{} [format{}("%c~Int%r %1"), function{}(), functional{}(), hook{}("INT.not"), klabel{}("~Int_"), left{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1228,18,1228,120)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), priorities{}(Lbl'UndsPlus'Int'Unds'{}(),Lbl'Unds'divInt'Unds'{}(),Lbl'UndsPerc'Int'Unds'{}(),Lbl'Unds-GT--GT-'Int'Unds'{}(),Lbl'Unds'xorInt'Unds'{}(),Lbl'UndsSlsh'Int'Unds'{}(),Lbl'UndsAnd-'Int'Unds'{}(),Lbl'UndsXor-'Int'Unds'{}(),Lbl'Unds-LT--LT-'Int'Unds'{}(),Lbl'UndsStar'Int'Unds'{}(),Lbl'UndsPipe'Int'Unds'{}(),Lbl'Unds'modInt'Unds'{}(),Lbl'UndsXor-Perc'Int'UndsUnds'{}(),Lbl'Unds'-Int'Unds'{}()), right{}(), smtlib{}("notInt"), symbol'Kywd'{}(), terminals{}("10"), total{}()] + +// generated axioms + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortKCellOpt{}, SortKItem{}} (From:SortKCellOpt{}))) [subsort{SortKCellOpt{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortGeneratedCounterCellOpt{}, SortKItem{}} (From:SortGeneratedCounterCellOpt{}))) [subsort{SortGeneratedCounterCellOpt{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortGeneratedCounterCellOpt{}, \equals{SortGeneratedCounterCellOpt{}, R} (Val:SortGeneratedCounterCellOpt{}, inj{SortGeneratedCounterCell{}, SortGeneratedCounterCellOpt{}} (From:SortGeneratedCounterCell{}))) [subsort{SortGeneratedCounterCell{}, SortGeneratedCounterCellOpt{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortKCell{}, SortKItem{}} (From:SortKCell{}))) [subsort{SortKCell{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKCellOpt{}, \equals{SortKCellOpt{}, R} (Val:SortKCellOpt{}, inj{SortKCell{}, SortKCellOpt{}} (From:SortKCell{}))) [subsort{SortKCell{}, SortKCellOpt{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortSet{}, SortKItem{}} (From:SortSet{}))) [subsort{SortSet{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortGeneratedCounterCell{}, SortKItem{}} (From:SortGeneratedCounterCell{}))) [subsort{SortGeneratedCounterCell{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortGeneratedTopCell{}, SortKItem{}} (From:SortGeneratedTopCell{}))) [subsort{SortGeneratedTopCell{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortList{}, SortKItem{}} (From:SortList{}))) [subsort{SortList{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortBool{}, SortKItem{}} (From:SortBool{}))) [subsort{SortBool{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortInt{}, SortKItem{}} (From:SortInt{}))) [subsort{SortInt{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortGeneratedTopCellFragment{}, SortKItem{}} (From:SortGeneratedTopCellFragment{}))) [subsort{SortGeneratedTopCellFragment{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortPgm{}, SortKItem{}} (From:SortPgm{}))) [subsort{SortPgm{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortMap{}, SortKItem{}} (From:SortMap{}))) [subsort{SortMap{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortKConfigVar{}, SortKItem{}} (From:SortKConfigVar{}))) [subsort{SortKConfigVar{}, SortKItem{}}()] // subsort + axiom{R, SortSort} \exists{R} (Val:SortSort, \equals{SortSort, R} (Val:SortSort, Lbl'Hash'if'UndsHash'then'UndsHash'else'UndsHash'fi'Unds'K-EQUAL-SYNTAX'Unds'Sort'Unds'Bool'Unds'Sort'Unds'Sort{SortSort}(K0:SortBool{}, K1:SortSort, K2:SortSort))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortList{}, \equals{SortList{}, R} (Val:SortList{}, Lbl'Stop'List{}())) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortMap{}, \equals{SortMap{}, R} (Val:SortMap{}, Lbl'Stop'Map{}())) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortSet{}, \equals{SortSet{}, R} (Val:SortSet{}, Lbl'Stop'Set{}())) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortGeneratedCounterCell{}, \equals{SortGeneratedCounterCell{}, R} (Val:SortGeneratedCounterCell{}, Lbl'-LT-'generatedCounter'-GT-'{}(K0:SortInt{}))) [functional{}()] // functional + axiom{}\implies{SortGeneratedCounterCell{}} (\and{SortGeneratedCounterCell{}} (Lbl'-LT-'generatedCounter'-GT-'{}(X0:SortInt{}), Lbl'-LT-'generatedCounter'-GT-'{}(Y0:SortInt{})), Lbl'-LT-'generatedCounter'-GT-'{}(\and{SortInt{}} (X0:SortInt{}, Y0:SortInt{}))) [constructor{}()] // no confusion same constructor + axiom{R} \exists{R} (Val:SortGeneratedTopCell{}, \equals{SortGeneratedTopCell{}, R} (Val:SortGeneratedTopCell{}, Lbl'-LT-'generatedTop'-GT-'{}(K0:SortKCell{}, K1:SortGeneratedCounterCell{}))) [functional{}()] // functional + axiom{}\implies{SortGeneratedTopCell{}} (\and{SortGeneratedTopCell{}} (Lbl'-LT-'generatedTop'-GT-'{}(X0:SortKCell{}, X1:SortGeneratedCounterCell{}), Lbl'-LT-'generatedTop'-GT-'{}(Y0:SortKCell{}, Y1:SortGeneratedCounterCell{})), Lbl'-LT-'generatedTop'-GT-'{}(\and{SortKCell{}} (X0:SortKCell{}, Y0:SortKCell{}), \and{SortGeneratedCounterCell{}} (X1:SortGeneratedCounterCell{}, Y1:SortGeneratedCounterCell{}))) [constructor{}()] // no confusion same constructor + axiom{R} \exists{R} (Val:SortGeneratedTopCellFragment{}, \equals{SortGeneratedTopCellFragment{}, R} (Val:SortGeneratedTopCellFragment{}, Lbl'-LT-'generatedTop'-GT-'-fragment{}(K0:SortKCellOpt{}, K1:SortGeneratedCounterCellOpt{}))) [functional{}()] // functional + axiom{}\implies{SortGeneratedTopCellFragment{}} (\and{SortGeneratedTopCellFragment{}} (Lbl'-LT-'generatedTop'-GT-'-fragment{}(X0:SortKCellOpt{}, X1:SortGeneratedCounterCellOpt{}), Lbl'-LT-'generatedTop'-GT-'-fragment{}(Y0:SortKCellOpt{}, Y1:SortGeneratedCounterCellOpt{})), Lbl'-LT-'generatedTop'-GT-'-fragment{}(\and{SortKCellOpt{}} (X0:SortKCellOpt{}, Y0:SortKCellOpt{}), \and{SortGeneratedCounterCellOpt{}} (X1:SortGeneratedCounterCellOpt{}, Y1:SortGeneratedCounterCellOpt{}))) [constructor{}()] // no confusion same constructor + axiom{R} \exists{R} (Val:SortKCell{}, \equals{SortKCell{}, R} (Val:SortKCell{}, Lbl'-LT-'k'-GT-'{}(K0:SortK{}))) [functional{}()] // functional + axiom{}\implies{SortKCell{}} (\and{SortKCell{}} (Lbl'-LT-'k'-GT-'{}(X0:SortK{}), Lbl'-LT-'k'-GT-'{}(Y0:SortK{})), Lbl'-LT-'k'-GT-'{}(\and{SortK{}} (X0:SortK{}, Y0:SortK{}))) [constructor{}()] // no confusion same constructor + axiom{R} \exists{R} (Val:SortList{}, \equals{SortList{}, R} (Val:SortList{}, LblListItem{}(K0:SortKItem{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortMap{}, \equals{SortMap{}, R} (Val:SortMap{}, LblMap'Coln'update{}(K0:SortMap{}, K1:SortKItem{}, K2:SortKItem{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortSet{}, \equals{SortSet{}, R} (Val:SortSet{}, LblSet'Coln'difference{}(K0:SortSet{}, K1:SortSet{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblSet'Coln'in{}(K0:SortKItem{}, K1:SortSet{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortSet{}, \equals{SortSet{}, R} (Val:SortSet{}, LblSetItem{}(K0:SortKItem{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lbl'UndsAnd-'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lbl'UndsStar'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lbl'UndsPlus'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lbl'Unds'-Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortMap{}, \equals{SortMap{}, R} (Val:SortMap{}, Lbl'Unds'-Map'UndsUnds'MAP'Unds'Map'Unds'Map'Unds'Map{}(K0:SortMap{}, K1:SortMap{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds-LT-Eqls'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds-LT-Eqls'Map'UndsUnds'MAP'Unds'Bool'Unds'Map'Unds'Map{}(K0:SortMap{}, K1:SortMap{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds-LT-Eqls'Set'UndsUnds'SET'Unds'Bool'Unds'Set'Unds'Set{}(K0:SortSet{}, K1:SortSet{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds-LT-'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'UndsEqlsSlshEqls'Bool'Unds'{}(K0:SortBool{}, K1:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'UndsEqlsSlshEqls'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'UndsEqlsSlshEqls'K'Unds'{}(K0:SortK{}, K1:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'UndsEqlsEqls'Bool'Unds'{}(K0:SortBool{}, K1:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'UndsEqlsEqls'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'UndsEqlsEqls'K'Unds'{}(K0:SortK{}, K1:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds-GT-Eqls'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds-GT-'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \equals{SortList{}, R} (Lbl'Unds'List'Unds'{}(Lbl'Unds'List'Unds'{}(K1:SortList{},K2:SortList{}),K3:SortList{}),Lbl'Unds'List'Unds'{}(K1:SortList{},Lbl'Unds'List'Unds'{}(K2:SortList{},K3:SortList{}))) [assoc{}()] // associativity + axiom{R}\equals{SortList{}, R} (Lbl'Unds'List'Unds'{}(K:SortList{},Lbl'Stop'List{}()),K:SortList{}) [unit{}()] // right unit + axiom{R}\equals{SortList{}, R} (Lbl'Unds'List'Unds'{}(Lbl'Stop'List{}(),K:SortList{}),K:SortList{}) [unit{}()] // left unit + axiom{R} \exists{R} (Val:SortList{}, \equals{SortList{}, R} (Val:SortList{}, Lbl'Unds'List'Unds'{}(K0:SortList{}, K1:SortList{}))) [functional{}()] // functional + axiom{R} \equals{SortMap{}, R} (Lbl'Unds'Map'Unds'{}(Lbl'Unds'Map'Unds'{}(K1:SortMap{},K2:SortMap{}),K3:SortMap{}),Lbl'Unds'Map'Unds'{}(K1:SortMap{},Lbl'Unds'Map'Unds'{}(K2:SortMap{},K3:SortMap{}))) [assoc{}()] // associativity + axiom{R}\equals{SortMap{}, R} (Lbl'Unds'Map'Unds'{}(K:SortMap{},Lbl'Stop'Map{}()),K:SortMap{}) [unit{}()] // right unit + axiom{R}\equals{SortMap{}, R} (Lbl'Unds'Map'Unds'{}(Lbl'Stop'Map{}(),K:SortMap{}),K:SortMap{}) [unit{}()] // left unit + axiom{R} \equals{SortSet{}, R} (Lbl'Unds'Set'Unds'{}(Lbl'Unds'Set'Unds'{}(K1:SortSet{},K2:SortSet{}),K3:SortSet{}),Lbl'Unds'Set'Unds'{}(K1:SortSet{},Lbl'Unds'Set'Unds'{}(K2:SortSet{},K3:SortSet{}))) [assoc{}()] // associativity + axiom{R} \equals{SortSet{}, R} (Lbl'Unds'Set'Unds'{}(K:SortSet{},K:SortSet{}),K:SortSet{}) [idem{}()] // idempotency + axiom{R}\equals{SortSet{}, R} (Lbl'Unds'Set'Unds'{}(K:SortSet{},Lbl'Stop'Set{}()),K:SortSet{}) [unit{}()] // right unit + axiom{R}\equals{SortSet{}, R} (Lbl'Unds'Set'Unds'{}(Lbl'Stop'Set{}(),K:SortSet{}),K:SortSet{}) [unit{}()] // left unit + axiom{R} \exists{R} (Val:SortMap{}, \equals{SortMap{}, R} (Val:SortMap{}, Lbl'UndsLSqBUnds-LT-'-undef'RSqB'{}(K0:SortMap{}, K1:SortKItem{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, Lbl'UndsLSqBUndsRSqB'orDefault'UndsUnds'MAP'Unds'KItem'Unds'Map'Unds'KItem'Unds'KItem{}(K0:SortMap{}, K1:SortKItem{}, K2:SortKItem{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds'andBool'Unds'{}(K0:SortBool{}, K1:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds'andThenBool'Unds'{}(K0:SortBool{}, K1:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds'impliesBool'Unds'{}(K0:SortBool{}, K1:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds'in'UndsUnds'LIST'Unds'Bool'Unds'KItem'Unds'List{}(K0:SortKItem{}, K1:SortList{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds'in'Unds'keys'LParUndsRParUnds'MAP'Unds'Bool'Unds'KItem'Unds'Map{}(K0:SortKItem{}, K1:SortMap{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds'orBool'Unds'{}(K0:SortBool{}, K1:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds'orElseBool'Unds'{}(K0:SortBool{}, K1:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds'xorBool'Unds'{}(K0:SortBool{}, K1:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lbl'Unds'xorInt'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortMap{}, \equals{SortMap{}, R} (Val:SortMap{}, Lbl'UndsPipe'-'-GT-Unds'{}(K0:SortKItem{}, K1:SortKItem{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lbl'UndsPipe'Int'Unds'{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortSet{}, \equals{SortSet{}, R} (Val:SortSet{}, Lbl'UndsPipe'Set'UndsUnds'SET'Unds'Set'Unds'Set'Unds'Set{}(K0:SortSet{}, K1:SortSet{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, LblabsInt'LParUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int{}(K0:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortPgm{}, \equals{SortPgm{}, R} (Val:SortPgm{}, Lblbar'LParRParUnds'TEST'Unds'Pgm{}())) [functional{}()] // functional + axiom{}\not{SortPgm{}} (\and{SortPgm{}} (Lblbar'LParRParUnds'TEST'Unds'Pgm{}(), Lblfoo'LParRParUnds'TEST'Unds'Pgm{}())) [constructor{}()] // no confusion different constructors + axiom{R} \exists{R} (Val:SortPgm{}, \equals{SortPgm{}, R} (Val:SortPgm{}, Lblfoo'LParRParUnds'TEST'Unds'Pgm{}())) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, LblfreshInt'LParUndsRParUnds'INT'Unds'Int'Unds'Int{}(K0:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortSet{}, \equals{SortSet{}, R} (Val:SortSet{}, LblintersectSet'LParUndsCommUndsRParUnds'SET'Unds'Set'Unds'Set'Unds'Set{}(K0:SortSet{}, K1:SortSet{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisBool{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisGeneratedCounterCell{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisGeneratedCounterCellOpt{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisGeneratedTopCell{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisGeneratedTopCellFragment{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisInt{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisK{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisKCell{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisKCellOpt{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisKConfigVar{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisKItem{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisList{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisMap{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisPgm{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisSet{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortSet{}, \equals{SortSet{}, R} (Val:SortSet{}, Lblkeys'LParUndsRParUnds'MAP'Unds'Set'Unds'Map{}(K0:SortMap{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, LblmaxInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, LblminInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(K0:SortInt{}, K1:SortInt{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortGeneratedCounterCellOpt{}, \equals{SortGeneratedCounterCellOpt{}, R} (Val:SortGeneratedCounterCellOpt{}, LblnoGeneratedCounterCell{}())) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortKCellOpt{}, \equals{SortKCellOpt{}, R} (Val:SortKCellOpt{}, LblnoKCell{}())) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblnotBool'Unds'{}(K0:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortMap{}, \equals{SortMap{}, R} (Val:SortMap{}, LblremoveAll'LParUndsCommUndsRParUnds'MAP'Unds'Map'Unds'Map'Unds'Set{}(K0:SortMap{}, K1:SortSet{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lblsize'LParUndsRParUnds'LIST'Unds'Int'Unds'List{}(K0:SortList{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lblsize'LParUndsRParUnds'MAP'Unds'Int'Unds'Map{}(K0:SortMap{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lblsize'LParUndsRParUnds'SET'Unds'Int'Unds'Set{}(K0:SortSet{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortMap{}, \equals{SortMap{}, R} (Val:SortMap{}, LblupdateMap'LParUndsCommUndsRParUnds'MAP'Unds'Map'Unds'Map'Unds'Map{}(K0:SortMap{}, K1:SortMap{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, Lbl'Tild'Int'Unds'{}(K0:SortInt{}))) [functional{}()] // functional + axiom{} \or{SortKItem{}} (\exists{SortKItem{}} (Val:SortList{}, inj{SortList{}, SortKItem{}} (Val:SortList{})), \exists{SortKItem{}} (Val:SortKConfigVar{}, inj{SortKConfigVar{}, SortKItem{}} (Val:SortKConfigVar{})), \exists{SortKItem{}} (Val:SortGeneratedCounterCellOpt{}, inj{SortGeneratedCounterCellOpt{}, SortKItem{}} (Val:SortGeneratedCounterCellOpt{})), \exists{SortKItem{}} (Val:SortGeneratedCounterCell{}, inj{SortGeneratedCounterCell{}, SortKItem{}} (Val:SortGeneratedCounterCell{})), \exists{SortKItem{}} (Val:SortBool{}, inj{SortBool{}, SortKItem{}} (Val:SortBool{})), \exists{SortKItem{}} (Val:SortKCell{}, inj{SortKCell{}, SortKItem{}} (Val:SortKCell{})), \exists{SortKItem{}} (Val:SortMap{}, inj{SortMap{}, SortKItem{}} (Val:SortMap{})), \exists{SortKItem{}} (Val:SortKCellOpt{}, inj{SortKCellOpt{}, SortKItem{}} (Val:SortKCellOpt{})), \exists{SortKItem{}} (Val:SortInt{}, inj{SortInt{}, SortKItem{}} (Val:SortInt{})), \exists{SortKItem{}} (Val:SortGeneratedTopCell{}, inj{SortGeneratedTopCell{}, SortKItem{}} (Val:SortGeneratedTopCell{})), \exists{SortKItem{}} (Val:SortPgm{}, inj{SortPgm{}, SortKItem{}} (Val:SortPgm{})), \exists{SortKItem{}} (Val:SortSet{}, inj{SortSet{}, SortKItem{}} (Val:SortSet{})), \exists{SortKItem{}} (Val:SortGeneratedTopCellFragment{}, inj{SortGeneratedTopCellFragment{}, SortKItem{}} (Val:SortGeneratedTopCellFragment{})), \bottom{SortKItem{}}()) [constructor{}()] // no junk + axiom{} \or{SortKConfigVar{}} (\top{SortKConfigVar{}}(), \bottom{SortKConfigVar{}}()) [constructor{}()] // no junk (TODO: fix bug with \dv) + axiom{} \or{SortGeneratedCounterCellOpt{}} (LblnoGeneratedCounterCell{}(), \exists{SortGeneratedCounterCellOpt{}} (Val:SortGeneratedCounterCell{}, inj{SortGeneratedCounterCell{}, SortGeneratedCounterCellOpt{}} (Val:SortGeneratedCounterCell{})), \bottom{SortGeneratedCounterCellOpt{}}()) [constructor{}()] // no junk + axiom{} \or{SortGeneratedCounterCell{}} (\exists{SortGeneratedCounterCell{}} (X0:SortInt{}, Lbl'-LT-'generatedCounter'-GT-'{}(X0:SortInt{})), \bottom{SortGeneratedCounterCell{}}()) [constructor{}()] // no junk + axiom{} \or{SortBool{}} (\top{SortBool{}}(), \bottom{SortBool{}}()) [constructor{}()] // no junk (TODO: fix bug with \dv) + axiom{} \or{SortKCell{}} (\exists{SortKCell{}} (X0:SortK{}, Lbl'-LT-'k'-GT-'{}(X0:SortK{})), \bottom{SortKCell{}}()) [constructor{}()] // no junk + axiom{} \or{SortKCellOpt{}} (LblnoKCell{}(), \exists{SortKCellOpt{}} (Val:SortKCell{}, inj{SortKCell{}, SortKCellOpt{}} (Val:SortKCell{})), \bottom{SortKCellOpt{}}()) [constructor{}()] // no junk + axiom{} \or{SortInt{}} (\top{SortInt{}}(), \bottom{SortInt{}}()) [constructor{}()] // no junk (TODO: fix bug with \dv) + axiom{} \or{SortGeneratedTopCell{}} (\exists{SortGeneratedTopCell{}} (X0:SortKCell{}, \exists{SortGeneratedTopCell{}} (X1:SortGeneratedCounterCell{}, Lbl'-LT-'generatedTop'-GT-'{}(X0:SortKCell{}, X1:SortGeneratedCounterCell{}))), \bottom{SortGeneratedTopCell{}}()) [constructor{}()] // no junk + axiom{} \or{SortPgm{}} (Lblbar'LParRParUnds'TEST'Unds'Pgm{}(), Lblfoo'LParRParUnds'TEST'Unds'Pgm{}(), \bottom{SortPgm{}}()) [constructor{}()] // no junk + axiom{} \or{SortGeneratedTopCellFragment{}} (\exists{SortGeneratedTopCellFragment{}} (X0:SortKCellOpt{}, \exists{SortGeneratedTopCellFragment{}} (X1:SortGeneratedCounterCellOpt{}, Lbl'-LT-'generatedTop'-GT-'-fragment{}(X0:SortKCellOpt{}, X1:SortGeneratedCounterCellOpt{}))), \bottom{SortGeneratedTopCellFragment{}}()) [constructor{}()] // no junk + +// rules +// rule #Ceil{Int,#SortParam}(`_%Int_`(@I1,@I2))=>#And{#SortParam}(#And{#SortParam}(#Equals{Bool,#SortParam}(`_=/=Int_`(@I2,#token("0","Int")),#token("true","Bool")),#Ceil{Int,#SortParam}(@I1)),#Ceil{Int,#SortParam}(@I2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(b622ef8c085d310116190556667c6c40158e0d40940b72ca0f29d51edc8c18bf), org.kframework.attributes.Location(Location(1369,8,1369,102)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \ceil{SortInt{}, Q0}(Lbl'UndsPerc'Int'Unds'{}(@VarI1:SortInt{},@VarI2:SortInt{})), + \and{Q0} ( + \and{Q0}(\and{Q0}(\equals{SortBool{}, Q0}(Lbl'UndsEqlsSlshEqls'Int'Unds'{}(@VarI2:SortInt{},\dv{SortInt{}}("0")),\dv{SortBool{}}("true")),\ceil{SortInt{}, Q0}(@VarI1:SortInt{})),\ceil{SortInt{}, Q0}(@VarI2:SortInt{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("b622ef8c085d310116190556667c6c40158e0d40940b72ca0f29d51edc8c18bf"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1369,8,1369,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Ceil{Int,#SortParam}(`_/Int_`(@I1,@I2))=>#And{#SortParam}(#And{#SortParam}(#Equals{Bool,#SortParam}(`_=/=Int_`(@I2,#token("0","Int")),#token("true","Bool")),#Ceil{Int,#SortParam}(@I1)),#Ceil{Int,#SortParam}(@I2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9a1834b97b96dc4289d7216a5db5a19e9778a92140ee2d6d0ee6e7b9bb629f0b), org.kframework.attributes.Location(Location(1368,8,1368,102)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \ceil{SortInt{}, Q0}(Lbl'UndsSlsh'Int'Unds'{}(@VarI1:SortInt{},@VarI2:SortInt{})), + \and{Q0} ( + \and{Q0}(\and{Q0}(\equals{SortBool{}, Q0}(Lbl'UndsEqlsSlshEqls'Int'Unds'{}(@VarI2:SortInt{},\dv{SortInt{}}("0")),\dv{SortBool{}}("true")),\ceil{SortInt{}, Q0}(@VarI1:SortInt{})),\ceil{SortInt{}, Q0}(@VarI2:SortInt{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("9a1834b97b96dc4289d7216a5db5a19e9778a92140ee2d6d0ee6e7b9bb629f0b"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1368,8,1368,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Ceil{Int,#SortParam}(`_<#And{#SortParam}(#And{#SortParam}(#Equals{Bool,#SortParam}(`_>=Int_`(@I2,#token("0","Int")),#token("true","Bool")),#Ceil{Int,#SortParam}(@I1)),#Ceil{Int,#SortParam}(@I2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(5f8bf32bc6d29b1dd564aafa53735ab4af7bfa889111514aa98c4fa723f7552f), org.kframework.attributes.Location(Location(1372,8,1372,102)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \ceil{SortInt{}, Q0}(Lbl'Unds-LT--LT-'Int'Unds'{}(@VarI1:SortInt{},@VarI2:SortInt{})), + \and{Q0} ( + \and{Q0}(\and{Q0}(\equals{SortBool{}, Q0}(Lbl'Unds-GT-Eqls'Int'Unds'{}(@VarI2:SortInt{},\dv{SortInt{}}("0")),\dv{SortBool{}}("true")),\ceil{SortInt{}, Q0}(@VarI1:SortInt{})),\ceil{SortInt{}, Q0}(@VarI2:SortInt{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("5f8bf32bc6d29b1dd564aafa53735ab4af7bfa889111514aa98c4fa723f7552f"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1372,8,1372,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Ceil{Int,#SortParam}(`_>>Int_`(@I1,@I2))=>#And{#SortParam}(#And{#SortParam}(#Equals{Bool,#SortParam}(`_>=Int_`(@I2,#token("0","Int")),#token("true","Bool")),#Ceil{Int,#SortParam}(@I1)),#Ceil{Int,#SortParam}(@I2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(c8752947aadc9d8ef2198aab097ebede2699aaac6eba9b2a816b0cdf19d318a3), org.kframework.attributes.Location(Location(1371,8,1371,102)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \ceil{SortInt{}, Q0}(Lbl'Unds-GT--GT-'Int'Unds'{}(@VarI1:SortInt{},@VarI2:SortInt{})), + \and{Q0} ( + \and{Q0}(\and{Q0}(\equals{SortBool{}, Q0}(Lbl'Unds-GT-Eqls'Int'Unds'{}(@VarI2:SortInt{},\dv{SortInt{}}("0")),\dv{SortBool{}}("true")),\ceil{SortInt{}, Q0}(@VarI1:SortInt{})),\ceil{SortInt{}, Q0}(@VarI2:SortInt{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("c8752947aadc9d8ef2198aab097ebede2699aaac6eba9b2a816b0cdf19d318a3"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1371,8,1371,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Ceil{Int,#SortParam}(`_modInt_`(@I1,@I2))=>#And{#SortParam}(#And{#SortParam}(#Equals{Bool,#SortParam}(`_=/=Int_`(@I2,#token("0","Int")),#token("true","Bool")),#Ceil{Int,#SortParam}(@I1)),#Ceil{Int,#SortParam}(@I2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(ed8563f7c10f7082e32e3ba09e833bcd2568d081fd7a65b525bcf5b05040035b), org.kframework.attributes.Location(Location(1370,8,1370,102)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \ceil{SortInt{}, Q0}(Lbl'Unds'modInt'Unds'{}(@VarI1:SortInt{},@VarI2:SortInt{})), + \and{Q0} ( + \and{Q0}(\and{Q0}(\equals{SortBool{}, Q0}(Lbl'UndsEqlsSlshEqls'Int'Unds'{}(@VarI2:SortInt{},\dv{SortInt{}}("0")),\dv{SortBool{}}("true")),\ceil{SortInt{}, Q0}(@VarI1:SortInt{})),\ceil{SortInt{}, Q0}(@VarI2:SortInt{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("ed8563f7c10f7082e32e3ba09e833bcd2568d081fd7a65b525bcf5b05040035b"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1370,8,1370,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_=/=Int_`(K1,K2),#token("false","Bool"))=>#Equals{Int,#SortParam}(K1,K2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(795b359eb7defdb79755173ab8af1e9e2a1baa62035cef8bf05d869b4c9541c9), org.kframework.attributes.Location(Location(1387,8,1387,55)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'UndsEqlsSlshEqls'Int'Unds'{}(VarK1:SortInt{},VarK2:SortInt{}),\dv{SortBool{}}("false")), + \and{Q0} ( + \equals{SortInt{}, Q0}(VarK1:SortInt{},VarK2:SortInt{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("795b359eb7defdb79755173ab8af1e9e2a1baa62035cef8bf05d869b4c9541c9"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1387,8,1387,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_=/=Int_`(K1,K2),#token("true","Bool"))=>#Not{#SortParam}(#Equals{Int,#SortParam}(K1,K2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(05a130417fde08afe4d6f16334376c84fc19905832dee217851085e64ad36565), org.kframework.attributes.Location(Location(1385,8,1385,60)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'UndsEqlsSlshEqls'Int'Unds'{}(VarK1:SortInt{},VarK2:SortInt{}),\dv{SortBool{}}("true")), + \and{Q0} ( + \not{Q0}(\equals{SortInt{}, Q0}(VarK1:SortInt{},VarK2:SortInt{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("05a130417fde08afe4d6f16334376c84fc19905832dee217851085e64ad36565"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1385,8,1385,60)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_=/=K_`(K1,K2),#token("false","Bool"))=>#Equals{K,#SortParam}(K1,K2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9d66f4f4523150f66c090aecc98805e32e109e726f53d3eaf49d463bf591319d), org.kframework.attributes.Location(Location(2297,8,2297,53)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'UndsEqlsSlshEqls'K'Unds'{}(VarK1:SortK{},VarK2:SortK{}),\dv{SortBool{}}("false")), + \and{Q0} ( + \equals{SortK{}, Q0}(VarK1:SortK{},VarK2:SortK{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("9d66f4f4523150f66c090aecc98805e32e109e726f53d3eaf49d463bf591319d"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2297,8,2297,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_=/=K_`(K1,K2),#token("true","Bool"))=>#Not{#SortParam}(#Equals{K,#SortParam}(K1,K2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(bbc468285d9d1c57b0a62e5e63bde86c5308370a10572c3deb33d03e13456727), org.kframework.attributes.Location(Location(2295,8,2295,58)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'UndsEqlsSlshEqls'K'Unds'{}(VarK1:SortK{},VarK2:SortK{}),\dv{SortBool{}}("true")), + \and{Q0} ( + \not{Q0}(\equals{SortK{}, Q0}(VarK1:SortK{},VarK2:SortK{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("bbc468285d9d1c57b0a62e5e63bde86c5308370a10572c3deb33d03e13456727"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2295,8,2295,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_==Int_`(K1,K2),#token("false","Bool"))=>#Not{#SortParam}(#Equals{Int,#SortParam}(K1,K2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(b47d1ffbd21dc81cf1b7fd21570adff9e4287eda0dfe26e863e672351d90f2cb), org.kframework.attributes.Location(Location(1383,8,1383,60)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'UndsEqlsEqls'Int'Unds'{}(VarK1:SortInt{},VarK2:SortInt{}),\dv{SortBool{}}("false")), + \and{Q0} ( + \not{Q0}(\equals{SortInt{}, Q0}(VarK1:SortInt{},VarK2:SortInt{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("b47d1ffbd21dc81cf1b7fd21570adff9e4287eda0dfe26e863e672351d90f2cb"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1383,8,1383,60)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_==Int_`(K1,K2),#token("true","Bool"))=>#Equals{Int,#SortParam}(K1,K2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(c41b0da7f1db6ae2f2fe6efb586d75a961c154ed1d6977cec362db971c1ac799), org.kframework.attributes.Location(Location(1381,8,1381,53)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'UndsEqlsEqls'Int'Unds'{}(VarK1:SortInt{},VarK2:SortInt{}),\dv{SortBool{}}("true")), + \and{Q0} ( + \equals{SortInt{}, Q0}(VarK1:SortInt{},VarK2:SortInt{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("c41b0da7f1db6ae2f2fe6efb586d75a961c154ed1d6977cec362db971c1ac799"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1381,8,1381,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_==K_`(K1,K2),#token("false","Bool"))=>#Not{#SortParam}(#Equals{K,#SortParam}(K1,K2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(fbb001dd1d8b9a3f8466f8188e21aaee68617e9bd3df6dc839b8cd337b34adcc), org.kframework.attributes.Location(Location(2293,8,2293,58)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'UndsEqlsEqls'K'Unds'{}(VarK1:SortK{},VarK2:SortK{}),\dv{SortBool{}}("false")), + \and{Q0} ( + \not{Q0}(\equals{SortK{}, Q0}(VarK1:SortK{},VarK2:SortK{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("fbb001dd1d8b9a3f8466f8188e21aaee68617e9bd3df6dc839b8cd337b34adcc"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2293,8,2293,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_==K_`(K1,K2),#token("true","Bool"))=>#Equals{K,#SortParam}(K1,K2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(4f1df0fcbe5672da3e37bad79f0a8a2e8ac5474f49364d679a98e61b384a27ab), org.kframework.attributes.Location(Location(2291,8,2291,51)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'UndsEqlsEqls'K'Unds'{}(VarK1:SortK{},VarK2:SortK{}),\dv{SortBool{}}("true")), + \and{Q0} ( + \equals{SortK{}, Q0}(VarK1:SortK{},VarK2:SortK{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("4f1df0fcbe5672da3e37bad79f0a8a2e8ac5474f49364d679a98e61b384a27ab"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2291,8,2291,51)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_andBool_`(@B1,@B2),#token("true","Bool"))=>#And{#SortParam}(#Equals{Bool,#SortParam}(@B1,#token("true","Bool")),#Equals{Bool,#SortParam}(@B2,#token("true","Bool"))) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9aad9b95f738d9a2205d9d25e4d74fe5383d9d760aeb20b454170cc72a594969), org.kframework.attributes.Location(Location(1162,8,1162,84)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'Unds'andBool'Unds'{}(@VarB1:SortBool{},@VarB2:SortBool{}),\dv{SortBool{}}("true")), + \and{Q0} ( + \and{Q0}(\equals{SortBool{}, Q0}(@VarB1:SortBool{},\dv{SortBool{}}("true")),\equals{SortBool{}, Q0}(@VarB2:SortBool{},\dv{SortBool{}}("true"))), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("9aad9b95f738d9a2205d9d25e4d74fe5383d9d760aeb20b454170cc72a594969"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1162,8,1162,84)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`_orBool_`(@B1,@B2),#token("false","Bool"))=>#And{#SortParam}(#Equals{Bool,#SortParam}(@B1,#token("false","Bool")),#Equals{Bool,#SortParam}(@B2,#token("false","Bool"))) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(8e69004f8524a0ef78bb9772df04f4e2dda461cf1d1803ddddb00fecc679e561), org.kframework.attributes.Location(Location(1164,8,1164,86)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(Lbl'Unds'orBool'Unds'{}(@VarB1:SortBool{},@VarB2:SortBool{}),\dv{SortBool{}}("false")), + \and{Q0} ( + \and{Q0}(\equals{SortBool{}, Q0}(@VarB1:SortBool{},\dv{SortBool{}}("false")),\equals{SortBool{}, Q0}(@VarB2:SortBool{},\dv{SortBool{}}("false"))), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("8e69004f8524a0ef78bb9772df04f4e2dda461cf1d1803ddddb00fecc679e561"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1164,8,1164,86)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`notBool_`(@B),#token("false","Bool"))=>#Equals{Bool,#SortParam}(@B,#token("true","Bool")) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(f849e4d67d2a74b4cccc204cf2328d983402c10486394c6bb076c907351805ae), org.kframework.attributes.Location(Location(1159,8,1159,55)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(LblnotBool'Unds'{}(@VarB:SortBool{}),\dv{SortBool{}}("false")), + \and{Q0} ( + \equals{SortBool{}, Q0}(@VarB:SortBool{},\dv{SortBool{}}("true")), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("f849e4d67d2a74b4cccc204cf2328d983402c10486394c6bb076c907351805ae"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1159,8,1159,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(`notBool_`(@B),#token("true","Bool"))=>#Equals{Bool,#SortParam}(@B,#token("false","Bool")) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(0ac934b762853d8a5da4819f1a56c44c9311a77e5297e48c54e61a9a08697107), org.kframework.attributes.Location(Location(1157,8,1157,55)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(LblnotBool'Unds'{}(@VarB:SortBool{}),\dv{SortBool{}}("true")), + \and{Q0} ( + \equals{SortBool{}, Q0}(@VarB:SortBool{},\dv{SortBool{}}("false")), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("0ac934b762853d8a5da4819f1a56c44c9311a77e5297e48c54e61a9a08697107"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1157,8,1157,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("false","Bool"),`_=/=Int_`(K1,K2))=>#Equals{Int,#SortParam}(K1,K2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9792bd7a5d2539a29ba29c1e32994d0f363d8d0ea982eb9090122b68c172e002), org.kframework.attributes.Location(Location(1388,8,1388,55)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("false"),Lbl'UndsEqlsSlshEqls'Int'Unds'{}(VarK1:SortInt{},VarK2:SortInt{})), + \and{Q0} ( + \equals{SortInt{}, Q0}(VarK1:SortInt{},VarK2:SortInt{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("9792bd7a5d2539a29ba29c1e32994d0f363d8d0ea982eb9090122b68c172e002"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1388,8,1388,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("false","Bool"),`_=/=K_`(K1,K2))=>#Equals{K,#SortParam}(K1,K2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(da8b62ee5fcd571267f5049d842316ff177fca6096d2d9cd356c72526a794fca), org.kframework.attributes.Location(Location(2298,8,2298,53)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("false"),Lbl'UndsEqlsSlshEqls'K'Unds'{}(VarK1:SortK{},VarK2:SortK{})), + \and{Q0} ( + \equals{SortK{}, Q0}(VarK1:SortK{},VarK2:SortK{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("da8b62ee5fcd571267f5049d842316ff177fca6096d2d9cd356c72526a794fca"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2298,8,2298,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("false","Bool"),`_==Int_`(K1,K2))=>#Not{#SortParam}(#Equals{Int,#SortParam}(K1,K2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(1079bc3ddec6c135ffdb2affa08dd6aa948cf49d75a5180e2c7ca82d0d1b8ce8), org.kframework.attributes.Location(Location(1384,8,1384,60)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("false"),Lbl'UndsEqlsEqls'Int'Unds'{}(VarK1:SortInt{},VarK2:SortInt{})), + \and{Q0} ( + \not{Q0}(\equals{SortInt{}, Q0}(VarK1:SortInt{},VarK2:SortInt{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("1079bc3ddec6c135ffdb2affa08dd6aa948cf49d75a5180e2c7ca82d0d1b8ce8"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1384,8,1384,60)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("false","Bool"),`_==K_`(K1,K2))=>#Not{#SortParam}(#Equals{K,#SortParam}(K1,K2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(45bfda34ee15d29f413561463c9921671249c5879697cc5fe1c5ba8365c011d0), org.kframework.attributes.Location(Location(2294,8,2294,58)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("false"),Lbl'UndsEqlsEqls'K'Unds'{}(VarK1:SortK{},VarK2:SortK{})), + \and{Q0} ( + \not{Q0}(\equals{SortK{}, Q0}(VarK1:SortK{},VarK2:SortK{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("45bfda34ee15d29f413561463c9921671249c5879697cc5fe1c5ba8365c011d0"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2294,8,2294,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("false","Bool"),`_orBool_`(@B1,@B2))=>#And{#SortParam}(#Equals{Bool,#SortParam}(#token("false","Bool"),@B1),#Equals{Bool,#SortParam}(#token("false","Bool"),@B2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(defa1852968a34529c2e1cf9e575104f4efa985725f1c8e0ee558a5eda315a9e), org.kframework.attributes.Location(Location(1163,8,1163,86)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("false"),Lbl'Unds'orBool'Unds'{}(@VarB1:SortBool{},@VarB2:SortBool{})), + \and{Q0} ( + \and{Q0}(\equals{SortBool{}, Q0}(\dv{SortBool{}}("false"),@VarB1:SortBool{}),\equals{SortBool{}, Q0}(\dv{SortBool{}}("false"),@VarB2:SortBool{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("defa1852968a34529c2e1cf9e575104f4efa985725f1c8e0ee558a5eda315a9e"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1163,8,1163,86)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("false","Bool"),`notBool_`(@B))=>#Equals{Bool,#SortParam}(#token("true","Bool"),@B) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(3c3fe078896d0d71271c80ee4bf02a715d9103274cb4b3b613abdb99a362a323), org.kframework.attributes.Location(Location(1158,8,1158,55)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("false"),LblnotBool'Unds'{}(@VarB:SortBool{})), + \and{Q0} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("true"),@VarB:SortBool{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("3c3fe078896d0d71271c80ee4bf02a715d9103274cb4b3b613abdb99a362a323"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1158,8,1158,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("true","Bool"),`_=/=Int_`(K1,K2))=>#Not{#SortParam}(#Equals{Int,#SortParam}(K1,K2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(7c6945e9f9c097f33467f54fb43978a62371b48434726f253052176b905b885c), org.kframework.attributes.Location(Location(1386,8,1386,60)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("true"),Lbl'UndsEqlsSlshEqls'Int'Unds'{}(VarK1:SortInt{},VarK2:SortInt{})), + \and{Q0} ( + \not{Q0}(\equals{SortInt{}, Q0}(VarK1:SortInt{},VarK2:SortInt{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("7c6945e9f9c097f33467f54fb43978a62371b48434726f253052176b905b885c"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1386,8,1386,60)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("true","Bool"),`_=/=K_`(K1,K2))=>#Not{#SortParam}(#Equals{K,#SortParam}(K1,K2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(fdc517cb9fb2fd5aedf681fc31fd3214b997bc9a717a0f978cd49cc24db6fe7c), org.kframework.attributes.Location(Location(2296,8,2296,58)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("true"),Lbl'UndsEqlsSlshEqls'K'Unds'{}(VarK1:SortK{},VarK2:SortK{})), + \and{Q0} ( + \not{Q0}(\equals{SortK{}, Q0}(VarK1:SortK{},VarK2:SortK{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("fdc517cb9fb2fd5aedf681fc31fd3214b997bc9a717a0f978cd49cc24db6fe7c"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2296,8,2296,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("true","Bool"),`_==Int_`(K1,K2))=>#Equals{Int,#SortParam}(K1,K2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(435d5e3c9c81148294a952394bc0164963a226f169ab6175d7d1ebd4ec19c13e), org.kframework.attributes.Location(Location(1382,8,1382,53)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("true"),Lbl'UndsEqlsEqls'Int'Unds'{}(VarK1:SortInt{},VarK2:SortInt{})), + \and{Q0} ( + \equals{SortInt{}, Q0}(VarK1:SortInt{},VarK2:SortInt{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("435d5e3c9c81148294a952394bc0164963a226f169ab6175d7d1ebd4ec19c13e"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1382,8,1382,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("true","Bool"),`_==K_`(K1,K2))=>#Equals{K,#SortParam}(K1,K2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9a4b74e345447735b5c093e8c87dc9950d0a498adcd67b709212e4b0ffc5c1ff), org.kframework.attributes.Location(Location(2292,8,2292,51)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("true"),Lbl'UndsEqlsEqls'K'Unds'{}(VarK1:SortK{},VarK2:SortK{})), + \and{Q0} ( + \equals{SortK{}, Q0}(VarK1:SortK{},VarK2:SortK{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("9a4b74e345447735b5c093e8c87dc9950d0a498adcd67b709212e4b0ffc5c1ff"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2292,8,2292,51)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("true","Bool"),`_andBool_`(@B1,@B2))=>#And{#SortParam}(#Equals{Bool,#SortParam}(#token("true","Bool"),@B1),#Equals{Bool,#SortParam}(#token("true","Bool"),@B2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(300cf41da7d529cc248e588cad6803b76fcbbb65e52839df4abc4bc96dbe0df7), org.kframework.attributes.Location(Location(1161,8,1161,84)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("true"),Lbl'Unds'andBool'Unds'{}(@VarB1:SortBool{},@VarB2:SortBool{})), + \and{Q0} ( + \and{Q0}(\equals{SortBool{}, Q0}(\dv{SortBool{}}("true"),@VarB1:SortBool{}),\equals{SortBool{}, Q0}(\dv{SortBool{}}("true"),@VarB2:SortBool{})), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("300cf41da7d529cc248e588cad6803b76fcbbb65e52839df4abc4bc96dbe0df7"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1161,8,1161,84)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule #Equals{Bool,#SortParam}(#token("true","Bool"),`notBool_`(@B))=>#Equals{Bool,#SortParam}(#token("false","Bool"),@B) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(88327456f82448e5a8387e1b180240db11201dd91cad6b2086350a57ec6598c4), org.kframework.attributes.Location(Location(1156,8,1156,55)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("true"),LblnotBool'Unds'{}(@VarB:SortBool{})), + \and{Q0} ( + \equals{SortBool{}, Q0}(\dv{SortBool{}}("false"),@VarB:SortBool{}), + \top{Q0}()))) + [UNIQUE'Unds'ID{}("88327456f82448e5a8387e1b180240db11201dd91cad6b2086350a57ec6598c4"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1156,8,1156,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `#if_#then_#else_#fi_K-EQUAL-SYNTAX_Sort_Bool_Sort_Sort`{K}(C,B1,_Gen0)=>B1 requires C ensures #token("true","Bool") [UNIQUE_ID(2b32069ac3f589174502fa507ebc88fab7c902854c0a9baa8ab09beb551232e2), org.kframework.attributes.Location(Location(2309,8,2309,59)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody "requires" Bool [klabel(#ruleRequires), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \equals{SortBool{},R}( + VarC:SortBool{}, + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + VarC:SortBool{} + ),\and{R} ( + \in{SortK{}, R} ( + X1:SortK{}, + VarB1:SortK{} + ),\and{R} ( + \in{SortK{}, R} ( + X2:SortK{}, + Var'Unds'Gen0:SortK{} + ), + \top{R} () + )))), + \equals{SortK{},R} ( + Lbl'Hash'if'UndsHash'then'UndsHash'else'UndsHash'fi'Unds'K-EQUAL-SYNTAX'Unds'Sort'Unds'Bool'Unds'Sort'Unds'Sort{SortK{}}(X0:SortBool{},X1:SortK{},X2:SortK{}), + \and{SortK{}} ( + VarB1:SortK{}, + \top{SortK{}}()))) + [UNIQUE'Unds'ID{}("2b32069ac3f589174502fa507ebc88fab7c902854c0a9baa8ab09beb551232e2"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2309,8,2309,59)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `#if_#then_#else_#fi_K-EQUAL-SYNTAX_Sort_Bool_Sort_Sort`{K}(C,_Gen0,B2)=>B2 requires `notBool_`(C) ensures #token("true","Bool") [UNIQUE_ID(651bff3fa53d464ac7dd7aa77e1ef6071e14c959eb6df97baa325e2ad300daaa), org.kframework.attributes.Location(Location(2310,8,2310,67)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody "requires" Bool [klabel(#ruleRequires), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \equals{SortBool{},R}( + LblnotBool'Unds'{}(VarC:SortBool{}), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + VarC:SortBool{} + ),\and{R} ( + \in{SortK{}, R} ( + X1:SortK{}, + Var'Unds'Gen0:SortK{} + ),\and{R} ( + \in{SortK{}, R} ( + X2:SortK{}, + VarB2:SortK{} + ), + \top{R} () + )))), + \equals{SortK{},R} ( + Lbl'Hash'if'UndsHash'then'UndsHash'else'UndsHash'fi'Unds'K-EQUAL-SYNTAX'Unds'Sort'Unds'Bool'Unds'Sort'Unds'Sort{SortK{}}(X0:SortBool{},X1:SortK{},X2:SortK{}), + \and{SortK{}} ( + VarB2:SortK{}, + \top{SortK{}}()))) + [UNIQUE'Unds'ID{}("651bff3fa53d464ac7dd7aa77e1ef6071e14c959eb6df97baa325e2ad300daaa"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2310,8,2310,67)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule ``(``(inj{Pgm,KItem}(`foo()_TEST_Pgm`(.KList))~>_DotVar1),_DotVar0)=>``(``(inj{Pgm,KItem}(`bar()_TEST_Pgm`(.KList))~>_DotVar1),_DotVar0) requires #token("true","Bool") ensures `_>Int_`(`size(_)_LIST_Int_List`(`_List_`(`_List_`(`ListItem`(inj{Int,KItem}(?A)),`ListItem`(inj{Int,KItem}(?B))),?L)),#token("0","Int")) [UNIQUE_ID(dbd00586354060e82bfddf9a0cbc2ceb32aa61c9242c71ee4b74ca55c40045a2), org.kframework.attributes.Location(Location(10,8,10,85)), org.kframework.attributes.Source(Source(/home/geo2a/Workspace/RV/haskell-backend/other-pr/test/rpc-server/simplify/list-matching/test.k)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody "ensures" Bool [klabel(#ruleEnsures), symbol])] + axiom{} \rewrites{SortGeneratedTopCell{}} ( + \and{SortGeneratedTopCell{}} ( + Lbl'-LT-'generatedTop'-GT-'{}(Lbl'-LT-'k'-GT-'{}(kseq{}(inj{SortPgm{}, SortKItem{}}(Lblfoo'LParRParUnds'TEST'Unds'Pgm{}()),Var'Unds'DotVar1:SortK{})),Var'Unds'DotVar0:SortGeneratedCounterCell{}), + \top{SortGeneratedTopCell{}}()), + \exists{SortGeneratedTopCell{}} (Var'Ques'A:SortInt{}, \exists{SortGeneratedTopCell{}} (Var'Ques'B:SortInt{}, \exists{SortGeneratedTopCell{}} (Var'Ques'L:SortList{}, + \and{SortGeneratedTopCell{}} ( + Lbl'-LT-'generatedTop'-GT-'{}(Lbl'-LT-'k'-GT-'{}(kseq{}(inj{SortPgm{}, SortKItem{}}(Lblbar'LParRParUnds'TEST'Unds'Pgm{}()),Var'Unds'DotVar1:SortK{})),Var'Unds'DotVar0:SortGeneratedCounterCell{}), \equals{SortBool{},SortGeneratedTopCell{}}( + Lbl'Unds-GT-'Int'Unds'{}(Lblsize'LParUndsRParUnds'LIST'Unds'Int'Unds'List{}(Lbl'Unds'List'Unds'{}(Lbl'Unds'List'Unds'{}(LblListItem{}(inj{SortInt{}, SortKItem{}}(Var'Ques'A:SortInt{})),LblListItem{}(inj{SortInt{}, SortKItem{}}(Var'Ques'B:SortInt{}))),Var'Ques'L:SortList{})),\dv{SortInt{}}("0")), + \dv{SortBool{}}("true"))))))) + [UNIQUE'Unds'ID{}("dbd00586354060e82bfddf9a0cbc2ceb32aa61c9242c71ee4b74ca55c40045a2"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(10,8,10,85)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/geo2a/Workspace/RV/haskell-backend/other-pr/test/rpc-server/simplify/list-matching/test.k)")] + +// rule `_%Int_`(X,N)=>X requires `_andBool_`(`_<=Int_`(#token("0","Int"),X),`_`_&Int_`(`_&Int_`(I1,I2),C) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9421412631227297d710a8a128250546172d603a3ba4ab733f0b457ab951b222), concrete(I1, I2), org.kframework.attributes.Location(Location(1404,8,1404,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(C)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'UndsAnd-'Int'Unds'{}(VarI1:SortInt{},Lbl'UndsAnd-'Int'Unds'{}(VarI2:SortInt{},VarC:SortInt{})), + \and{SortInt{}} ( + Lbl'UndsAnd-'Int'Unds'{}(Lbl'UndsAnd-'Int'Unds'{}(VarI1:SortInt{},VarI2:SortInt{}),VarC:SortInt{}), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("9421412631227297d710a8a128250546172d603a3ba4ab733f0b457ab951b222"), concrete{}(VarI1:SortInt{},VarI2:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1404,8,1404,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarC:SortInt{})] + +// rule `_+Int_`(I,B)=>`_+Int_`(B,I) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2e6bd1d3ddd7c597337b36e863b9ba7467879e84d355c4249c7ac49a7bc6994a), concrete(I), org.kframework.attributes.Location(Location(1391,8,1391,28)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification(51), symbolic(B)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'UndsPlus'Int'Unds'{}(VarI:SortInt{},VarB:SortInt{}), + \and{SortInt{}} ( + Lbl'UndsPlus'Int'Unds'{}(VarB:SortInt{},VarI:SortInt{}), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("2e6bd1d3ddd7c597337b36e863b9ba7467879e84d355c4249c7ac49a7bc6994a"), concrete{}(VarI:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1391,8,1391,28)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("51"), symbolic{}(VarB:SortInt{})] + +// rule `_+Int_`(I,#token("0","Int"))=>I requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(aabd26e6a15f1496fc7553673d4106436d66316bc405364e4e45307483e4abba), org.kframework.attributes.Location(Location(1349,8,1349,21)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'UndsPlus'Int'Unds'{}(VarI:SortInt{},\dv{SortInt{}}("0")), + \and{SortInt{}} ( + VarI:SortInt{}, + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("aabd26e6a15f1496fc7553673d4106436d66316bc405364e4e45307483e4abba"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1349,8,1349,21)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_+Int_`(I1,`_+Int_`(B,I3))=>`_+Int_`(B,`_+Int_`(I1,I3)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(7308565e50371e986b204a58ec60ca02ff2d988d32b932c40b04f3aeee3bd97c), concrete(I1, I3), org.kframework.attributes.Location(Location(1395,8,1395,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(B)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'UndsPlus'Int'Unds'{}(VarI1:SortInt{},Lbl'UndsPlus'Int'Unds'{}(VarB:SortInt{},VarI3:SortInt{})), + \and{SortInt{}} ( + Lbl'UndsPlus'Int'Unds'{}(VarB:SortInt{},Lbl'UndsPlus'Int'Unds'{}(VarI1:SortInt{},VarI3:SortInt{})), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("7308565e50371e986b204a58ec60ca02ff2d988d32b932c40b04f3aeee3bd97c"), concrete{}(VarI1:SortInt{},VarI3:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1395,8,1395,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarB:SortInt{})] + +// rule `_+Int_`(I1,`_+Int_`(I2,C))=>`_+Int_`(`_+Int_`(I1,I2),C) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(c1ab8935c1473aad2156d430c77351ca90186ddcabc44e7f88b0d40d019eff6c), concrete(I1, I2), org.kframework.attributes.Location(Location(1397,8,1397,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(C)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'UndsPlus'Int'Unds'{}(VarI1:SortInt{},Lbl'UndsPlus'Int'Unds'{}(VarI2:SortInt{},VarC:SortInt{})), + \and{SortInt{}} ( + Lbl'UndsPlus'Int'Unds'{}(Lbl'UndsPlus'Int'Unds'{}(VarI1:SortInt{},VarI2:SortInt{}),VarC:SortInt{}), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("c1ab8935c1473aad2156d430c77351ca90186ddcabc44e7f88b0d40d019eff6c"), concrete{}(VarI1:SortInt{},VarI2:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1397,8,1397,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarC:SortInt{})] + +// rule `_+Int_`(I1,`_-Int_`(I2,C))=>`_-Int_`(`_+Int_`(I1,I2),C) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(935f82fd8fdd7b6117b1e5133b5e9d7eb694bc4b7bca25656b679697465e9392), concrete(I1, I2), org.kframework.attributes.Location(Location(1398,8,1398,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(C)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'UndsPlus'Int'Unds'{}(VarI1:SortInt{},Lbl'Unds'-Int'Unds'{}(VarI2:SortInt{},VarC:SortInt{})), + \and{SortInt{}} ( + Lbl'Unds'-Int'Unds'{}(Lbl'UndsPlus'Int'Unds'{}(VarI1:SortInt{},VarI2:SortInt{}),VarC:SortInt{}), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("935f82fd8fdd7b6117b1e5133b5e9d7eb694bc4b7bca25656b679697465e9392"), concrete{}(VarI1:SortInt{},VarI2:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1398,8,1398,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarC:SortInt{})] + +// rule `_+Int_`(`_+Int_`(A,I2),I3)=>`_+Int_`(A,`_+Int_`(I2,I3)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(905f980f1bfa6646fa489ee8f1a217ce3516cb046d9bdb2c71aeac8af25bff94), concrete(I2, I3), org.kframework.attributes.Location(Location(1394,8,1394,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(A)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'UndsPlus'Int'Unds'{}(Lbl'UndsPlus'Int'Unds'{}(VarA:SortInt{},VarI2:SortInt{}),VarI3:SortInt{}), + \and{SortInt{}} ( + Lbl'UndsPlus'Int'Unds'{}(VarA:SortInt{},Lbl'UndsPlus'Int'Unds'{}(VarI2:SortInt{},VarI3:SortInt{})), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("905f980f1bfa6646fa489ee8f1a217ce3516cb046d9bdb2c71aeac8af25bff94"), concrete{}(VarI2:SortInt{},VarI3:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1394,8,1394,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarA:SortInt{})] + +// rule `_+Int_`(`_-Int_`(I1,B),I3)=>`_-Int_`(`_+Int_`(I1,I3),B) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(a05a3720b49f61f248c0054620ef36c21bfc387bc87ccadff8b25a64b516abaa), concrete(I1, I3), org.kframework.attributes.Location(Location(1399,8,1399,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(B)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'UndsPlus'Int'Unds'{}(Lbl'Unds'-Int'Unds'{}(VarI1:SortInt{},VarB:SortInt{}),VarI3:SortInt{}), + \and{SortInt{}} ( + Lbl'Unds'-Int'Unds'{}(Lbl'UndsPlus'Int'Unds'{}(VarI1:SortInt{},VarI3:SortInt{}),VarB:SortInt{}), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("a05a3720b49f61f248c0054620ef36c21bfc387bc87ccadff8b25a64b516abaa"), concrete{}(VarI1:SortInt{},VarI3:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1399,8,1399,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarB:SortInt{})] + +// rule `_-Int_`(A,I)=>`_+Int_`(A,`_-Int_`(#token("0","Int"),I)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(d74a5051d6c5db6f1cd82d246016e530a2c889e65ad1871d4ef3c794a0ebbfdb), concrete(I), org.kframework.attributes.Location(Location(1392,8,1392,37)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification(51), symbolic(A)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds'-Int'Unds'{}(VarA:SortInt{},VarI:SortInt{}), + \and{SortInt{}} ( + Lbl'UndsPlus'Int'Unds'{}(VarA:SortInt{},Lbl'Unds'-Int'Unds'{}(\dv{SortInt{}}("0"),VarI:SortInt{})), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("d74a5051d6c5db6f1cd82d246016e530a2c889e65ad1871d4ef3c794a0ebbfdb"), concrete{}(VarI:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1392,8,1392,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("51"), symbolic{}(VarA:SortInt{})] + +// rule `_-Int_`(I,#token("0","Int"))=>I requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(ce5b8e5bfd73c95b45c6910a804fef7292859a81b2a0b1cf7aceb97a42f68ea5), org.kframework.attributes.Location(Location(1350,8,1350,21)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds'-Int'Unds'{}(VarI:SortInt{},\dv{SortInt{}}("0")), + \and{SortInt{}} ( + VarI:SortInt{}, + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("ce5b8e5bfd73c95b45c6910a804fef7292859a81b2a0b1cf7aceb97a42f68ea5"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1350,8,1350,21)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_-Int_`(I1,`_+Int_`(B,I3))=>`_-Int_`(`_-Int_`(I1,I3),B) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(65fc58d60e6d0a418216dd3bc1bcb0d69a4fe2d05ff984269e650ce61fe7ac57), concrete(I1, I3), org.kframework.attributes.Location(Location(1396,8,1396,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(B)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds'-Int'Unds'{}(VarI1:SortInt{},Lbl'UndsPlus'Int'Unds'{}(VarB:SortInt{},VarI3:SortInt{})), + \and{SortInt{}} ( + Lbl'Unds'-Int'Unds'{}(Lbl'Unds'-Int'Unds'{}(VarI1:SortInt{},VarI3:SortInt{}),VarB:SortInt{}), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("65fc58d60e6d0a418216dd3bc1bcb0d69a4fe2d05ff984269e650ce61fe7ac57"), concrete{}(VarI1:SortInt{},VarI3:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1396,8,1396,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarB:SortInt{})] + +// rule `_-Int_`(I1,`_+Int_`(I2,C))=>`_-Int_`(`_-Int_`(I1,I2),C) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(56750a45b2b2a148f36488eecc4e1f9b06a87aaf87f8d327a7d2ea64bb8e97a6), concrete(I1, I2), org.kframework.attributes.Location(Location(1400,8,1400,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(C)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds'-Int'Unds'{}(VarI1:SortInt{},Lbl'UndsPlus'Int'Unds'{}(VarI2:SortInt{},VarC:SortInt{})), + \and{SortInt{}} ( + Lbl'Unds'-Int'Unds'{}(Lbl'Unds'-Int'Unds'{}(VarI1:SortInt{},VarI2:SortInt{}),VarC:SortInt{}), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("56750a45b2b2a148f36488eecc4e1f9b06a87aaf87f8d327a7d2ea64bb8e97a6"), concrete{}(VarI1:SortInt{},VarI2:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1400,8,1400,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarC:SortInt{})] + +// rule `_-Int_`(I1,`_-Int_`(I2,C))=>`_+Int_`(`_-Int_`(I1,I2),C) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(e2166a2b9e9f92c4a42d187b79cc7cfffd29e649f29e5b5a880ca4a3a47bc215), concrete(I1, I2), org.kframework.attributes.Location(Location(1401,8,1401,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(C)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds'-Int'Unds'{}(VarI1:SortInt{},Lbl'Unds'-Int'Unds'{}(VarI2:SortInt{},VarC:SortInt{})), + \and{SortInt{}} ( + Lbl'UndsPlus'Int'Unds'{}(Lbl'Unds'-Int'Unds'{}(VarI1:SortInt{},VarI2:SortInt{}),VarC:SortInt{}), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("e2166a2b9e9f92c4a42d187b79cc7cfffd29e649f29e5b5a880ca4a3a47bc215"), concrete{}(VarI1:SortInt{},VarI2:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1401,8,1401,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarC:SortInt{})] + +// rule `_-Int_`(`_-Int_`(C,I2),I3)=>`_-Int_`(C,`_+Int_`(I2,I3)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(8f97bbde4900d5ebbd39edd662bb87c3dbc0934fbe1f4db06d9a2050bd7a9a82), concrete(I2, I3), org.kframework.attributes.Location(Location(1402,8,1402,50)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification, symbolic(C)] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds'-Int'Unds'{}(Lbl'Unds'-Int'Unds'{}(VarC:SortInt{},VarI2:SortInt{}),VarI3:SortInt{}), + \and{SortInt{}} ( + Lbl'Unds'-Int'Unds'{}(VarC:SortInt{},Lbl'UndsPlus'Int'Unds'{}(VarI2:SortInt{},VarI3:SortInt{})), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("8f97bbde4900d5ebbd39edd662bb87c3dbc0934fbe1f4db06d9a2050bd7a9a82"), concrete{}(VarI2:SortInt{},VarI3:SortInt{}), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1402,8,1402,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}(""), symbolic{}(VarC:SortInt{})] + +// rule `_<X requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(8b63843b7b419179c23c249a139981f1190cf52ec41e7e453e6d5edd73ff8725), org.kframework.attributes.Location(Location(1356,8,1356,22)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds-LT--LT-'Int'Unds'{}(VarX:SortInt{},\dv{SortInt{}}("0")), + \and{SortInt{}} ( + VarX:SortInt{}, + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("8b63843b7b419179c23c249a139981f1190cf52ec41e7e453e6d5edd73ff8725"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1356,8,1356,22)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_<#token("0","Int") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(7df97c560c3aec2963fa8634969e665cf56694fd7f3aa22fb29f055b3e6a6cfe), org.kframework.attributes.Location(Location(1357,8,1357,22)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds-LT--LT-'Int'Unds'{}(\dv{SortInt{}}("0"),Var'Unds'Gen0:SortInt{}), + \and{SortInt{}} ( + \dv{SortInt{}}("0"), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("7df97c560c3aec2963fa8634969e665cf56694fd7f3aa22fb29f055b3e6a6cfe"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1357,8,1357,22)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_=/=Bool_`(B1,B2)=>`notBool_`(`_==Bool_`(B1,B2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(31fe72efcfddcd8588a11d9d10c1b1a9f96ae3da46b647d4cb9d1e8b1bd1654f), org.kframework.attributes.Location(Location(1150,8,1150,57)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + VarB1:SortBool{} + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + VarB2:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'UndsEqlsSlshEqls'Bool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + LblnotBool'Unds'{}(Lbl'UndsEqlsEqls'Bool'Unds'{}(VarB1:SortBool{},VarB2:SortBool{})), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("31fe72efcfddcd8588a11d9d10c1b1a9f96ae3da46b647d4cb9d1e8b1bd1654f"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1150,8,1150,57)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_=/=Int_`(I1,I2)=>`notBool_`(`_==Int_`(I1,I2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(4de6e05b11cdbed7ef5cb4c952127924661af4744c1e495370e1c8a962ba7be3), org.kframework.attributes.Location(Location(1429,8,1429,53)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortInt{}, R} ( + X0:SortInt{}, + VarI1:SortInt{} + ),\and{R} ( + \in{SortInt{}, R} ( + X1:SortInt{}, + VarI2:SortInt{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'UndsEqlsSlshEqls'Int'Unds'{}(X0:SortInt{},X1:SortInt{}), + \and{SortBool{}} ( + LblnotBool'Unds'{}(Lbl'UndsEqlsEqls'Int'Unds'{}(VarI1:SortInt{},VarI2:SortInt{})), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("4de6e05b11cdbed7ef5cb4c952127924661af4744c1e495370e1c8a962ba7be3"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1429,8,1429,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_=/=K_`(K1,K2)=>`notBool_`(`_==K_`(K1,K2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(bccaba7335e4cd77501a0667f2f7b3eb4a2105d5f60d804915dd4b1b08902c0c), org.kframework.attributes.Location(Location(2307,8,2307,45)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK1:SortK{} + ),\and{R} ( + \in{SortK{}, R} ( + X1:SortK{}, + VarK2:SortK{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'UndsEqlsSlshEqls'K'Unds'{}(X0:SortK{},X1:SortK{}), + \and{SortBool{}} ( + LblnotBool'Unds'{}(Lbl'UndsEqlsEqls'K'Unds'{}(VarK1:SortK{},VarK2:SortK{})), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("bccaba7335e4cd77501a0667f2f7b3eb4a2105d5f60d804915dd4b1b08902c0c"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2307,8,2307,45)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_==K_`(inj{Int,KItem}(I1),inj{Int,KItem}(I2))=>`_==Int_`(I1,I2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(d95370e01038361235da9cb6be0a627d07365d6fbb0db1cb2214912410fb11a0), org.kframework.attributes.Location(Location(1380,8,1380,40)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'UndsEqlsEqls'K'Unds'{}(kseq{}(inj{SortInt{}, SortKItem{}}(VarI1:SortInt{}),dotk{}()),kseq{}(inj{SortInt{}, SortKItem{}}(VarI2:SortInt{}),dotk{}())), + \and{SortBool{}} ( + Lbl'UndsEqlsEqls'Int'Unds'{}(VarI1:SortInt{},VarI2:SortInt{}), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("d95370e01038361235da9cb6be0a627d07365d6fbb0db1cb2214912410fb11a0"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1380,8,1380,40)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_==K_`(inj{Bool,KItem}(K1),inj{Bool,KItem}(K2))=>`_==Bool_`(K1,K2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2397e65cf548d4502dc45b4ec2578e036f0fbe6dadf1386d567be77e811975e2), org.kframework.attributes.Location(Location(2290,8,2290,43)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'UndsEqlsEqls'K'Unds'{}(kseq{}(inj{SortBool{}, SortKItem{}}(VarK1:SortBool{}),dotk{}()),kseq{}(inj{SortBool{}, SortKItem{}}(VarK2:SortBool{}),dotk{}())), + \and{SortBool{}} ( + Lbl'UndsEqlsEqls'Bool'Unds'{}(VarK1:SortBool{},VarK2:SortBool{}), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("2397e65cf548d4502dc45b4ec2578e036f0fbe6dadf1386d567be77e811975e2"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2290,8,2290,43)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_>>Int_`(X,#token("0","Int"))=>X requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(afa10f58a41b4395b68f473579a1833eb2b310b16fa4bc45f363dd269b7f6088), org.kframework.attributes.Location(Location(1358,8,1358,22)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds-GT--GT-'Int'Unds'{}(VarX:SortInt{},\dv{SortInt{}}("0")), + \and{SortInt{}} ( + VarX:SortInt{}, + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("afa10f58a41b4395b68f473579a1833eb2b310b16fa4bc45f363dd269b7f6088"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1358,8,1358,22)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_>>Int_`(#token("0","Int"),_Gen0)=>#token("0","Int") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(a156c8612a9d4dd3439eb2df95a172243c4c7cf248ac791810f01138ae7c1fc9), org.kframework.attributes.Location(Location(1359,8,1359,22)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lbl'Unds-GT--GT-'Int'Unds'{}(\dv{SortInt{}}("0"),Var'Unds'Gen0:SortInt{}), + \and{SortInt{}} ( + \dv{SortInt{}}("0"), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("a156c8612a9d4dd3439eb2df95a172243c4c7cf248ac791810f01138ae7c1fc9"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1359,8,1359,22)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_andBool_`(#token("false","Bool") #as _Gen1,_Gen0)=>_Gen1 requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(61fbef33b3611f1cc2aaf3b5e8ddec4a0f434c557278c38461c65c8722743497), org.kframework.attributes.Location(Location(1123,8,1123,37)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \and{SortBool{}}(\dv{SortBool{}}("false"),Var'Unds'Gen1:SortBool{}) + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + Var'Unds'Gen0:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'andBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + Var'Unds'Gen1:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("61fbef33b3611f1cc2aaf3b5e8ddec4a0f434c557278c38461c65c8722743497"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1123,8,1123,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_andBool_`(B,#token("true","Bool"))=>B requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(72139ee1f2b9362a47514de6503329ccf3c27e74e3ebfa0c0fe26321ec13f281), org.kframework.attributes.Location(Location(1122,8,1122,37)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'andBool'Unds'{}(VarB:SortBool{},\dv{SortBool{}}("true")), + \and{SortBool{}} ( + VarB:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("72139ee1f2b9362a47514de6503329ccf3c27e74e3ebfa0c0fe26321ec13f281"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1122,8,1122,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_andBool_`(_Gen0,#token("false","Bool"))=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(fd61c826168aab115cd7f528702e8187ca16195bdcf29f42f33a32c83afebb12), org.kframework.attributes.Location(Location(1124,8,1124,37)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'andBool'Unds'{}(Var'Unds'Gen0:SortBool{},\dv{SortBool{}}("false")), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("fd61c826168aab115cd7f528702e8187ca16195bdcf29f42f33a32c83afebb12"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1124,8,1124,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_andBool_`(#token("true","Bool"),B)=>B requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(5b9db8dba12010819161cc42dadccd0adf0100a47c21f884ae66c0a3d5483a1f), org.kframework.attributes.Location(Location(1121,8,1121,37)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("true") + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + VarB:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'andBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + VarB:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("5b9db8dba12010819161cc42dadccd0adf0100a47c21f884ae66c0a3d5483a1f"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1121,8,1121,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_andThenBool_`(#token("false","Bool") #as _Gen1,_Gen0)=>_Gen1 requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(5b729746be7bf2183d9eff138d97078a7c9489def6d8b2e1495c41ce3954997d), org.kframework.attributes.Location(Location(1128,8,1128,36)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \and{SortBool{}}(\dv{SortBool{}}("false"),Var'Unds'Gen1:SortBool{}) + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + Var'Unds'Gen0:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'andThenBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + Var'Unds'Gen1:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("5b729746be7bf2183d9eff138d97078a7c9489def6d8b2e1495c41ce3954997d"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1128,8,1128,36)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_andThenBool_`(K,#token("true","Bool"))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2cfb33affb9c668d39a4a7267156085e1dbd3584fc7925b1aa9a1672bb9eab9f), org.kframework.attributes.Location(Location(1127,8,1127,37)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'andThenBool'Unds'{}(VarK:SortBool{},\dv{SortBool{}}("true")), + \and{SortBool{}} ( + VarK:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("2cfb33affb9c668d39a4a7267156085e1dbd3584fc7925b1aa9a1672bb9eab9f"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1127,8,1127,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_andThenBool_`(_Gen0,#token("false","Bool"))=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(198861009d03d8f5220000f16342962720be289ca0d49b12953fb2693e2fea01), org.kframework.attributes.Location(Location(1129,8,1129,36)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'andThenBool'Unds'{}(Var'Unds'Gen0:SortBool{},\dv{SortBool{}}("false")), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("198861009d03d8f5220000f16342962720be289ca0d49b12953fb2693e2fea01"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1129,8,1129,36)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_andThenBool_`(#token("true","Bool"),K)=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(78a3191cbbdec57b0f411f41291076c8124bb0d9b6b57905674b2c6858d78689), org.kframework.attributes.Location(Location(1126,8,1126,37)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("true") + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + VarK:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'andThenBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + VarK:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("78a3191cbbdec57b0f411f41291076c8124bb0d9b6b57905674b2c6858d78689"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1126,8,1126,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_divInt_`(I1,I2)=>`_/Int_`(`_-Int_`(I1,`_modInt_`(I1,I2)),I2) requires `_=/=Int_`(I2,#token("0","Int")) ensures #token("true","Bool") [UNIQUE_ID(83dcf9bc8c69f131715bc7a92d06c99b9a2b5f4c4fdafb69e6fdb2f1822712d4), org.kframework.attributes.Location(Location(1418,8,1419,23)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody "requires" Bool [klabel(#ruleRequires), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \equals{SortBool{},R}( + Lbl'UndsEqlsSlshEqls'Int'Unds'{}(VarI2:SortInt{},\dv{SortInt{}}("0")), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortInt{}, R} ( + X0:SortInt{}, + VarI1:SortInt{} + ),\and{R} ( + \in{SortInt{}, R} ( + X1:SortInt{}, + VarI2:SortInt{} + ), + \top{R} () + ))), + \equals{SortInt{},R} ( + Lbl'Unds'divInt'Unds'{}(X0:SortInt{},X1:SortInt{}), + \and{SortInt{}} ( + Lbl'UndsSlsh'Int'Unds'{}(Lbl'Unds'-Int'Unds'{}(VarI1:SortInt{},Lbl'Unds'modInt'Unds'{}(VarI1:SortInt{},VarI2:SortInt{})),VarI2:SortInt{}), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("83dcf9bc8c69f131715bc7a92d06c99b9a2b5f4c4fdafb69e6fdb2f1822712d4"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1418,8,1419,23)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_dividesInt__INT-COMMON_Bool_Int_Int`(I1,I2)=>`_==Int_`(`_%Int_`(I2,I1),#token("0","Int")) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(fd8facae0061fe5bc5c406f7ad2ed5d8d21960bf1118c9b240451253064dadb5), org.kframework.attributes.Location(Location(1430,8,1430,58)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortInt{}, R} ( + X0:SortInt{}, + VarI1:SortInt{} + ),\and{R} ( + \in{SortInt{}, R} ( + X1:SortInt{}, + VarI2:SortInt{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'dividesInt'UndsUnds'INT-COMMON'Unds'Bool'Unds'Int'Unds'Int{}(X0:SortInt{},X1:SortInt{}), + \and{SortBool{}} ( + Lbl'UndsEqlsEqls'Int'Unds'{}(Lbl'UndsPerc'Int'Unds'{}(VarI2:SortInt{},VarI1:SortInt{}),\dv{SortInt{}}("0")), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("fd8facae0061fe5bc5c406f7ad2ed5d8d21960bf1118c9b240451253064dadb5"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1430,8,1430,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_impliesBool_`(B,#token("false","Bool"))=>`notBool_`(B) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(93b8d798abd6d9999e0e733384ad161e9a0bd2f074623a742afdc63964380aba), org.kframework.attributes.Location(Location(1148,8,1148,45)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'impliesBool'Unds'{}(VarB:SortBool{},\dv{SortBool{}}("false")), + \and{SortBool{}} ( + LblnotBool'Unds'{}(VarB:SortBool{}), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("93b8d798abd6d9999e0e733384ad161e9a0bd2f074623a742afdc63964380aba"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1148,8,1148,45)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_impliesBool_`(_Gen0,#token("true","Bool"))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2b4994db7b40b72dc09ac8d5d036263b215c37d45f45d764251d8b607a7592ba), org.kframework.attributes.Location(Location(1147,8,1147,39)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'impliesBool'Unds'{}(Var'Unds'Gen0:SortBool{},\dv{SortBool{}}("true")), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("2b4994db7b40b72dc09ac8d5d036263b215c37d45f45d764251d8b607a7592ba"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1147,8,1147,39)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_impliesBool_`(#token("false","Bool"),_Gen0)=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(55bb5c83c9563c712537b95401c0a5c88255fd7cdbd18b2d4358c54aee80660e), org.kframework.attributes.Location(Location(1146,8,1146,40)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("false") + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + Var'Unds'Gen0:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'impliesBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("55bb5c83c9563c712537b95401c0a5c88255fd7cdbd18b2d4358c54aee80660e"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1146,8,1146,40)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_impliesBool_`(#token("true","Bool"),B)=>B requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(da818c43c21c5fb2cced7e02a74b6b4191d323de2967a671b961ad28550f3c7d), org.kframework.attributes.Location(Location(1145,8,1145,36)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("true") + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + VarB:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'impliesBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + VarB:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("da818c43c21c5fb2cced7e02a74b6b4191d323de2967a671b961ad28550f3c7d"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1145,8,1145,36)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_modInt_`(I1,I2)=>`_%Int_`(`_+Int_`(`_%Int_`(I1,`absInt(_)_INT-COMMON_Int_Int`(I2)),`absInt(_)_INT-COMMON_Int_Int`(I2)),`absInt(_)_INT-COMMON_Int_Int`(I2)) requires `_=/=Int_`(I2,#token("0","Int")) ensures #token("true","Bool") [UNIQUE_ID(44257f63a99a0583c2d10058edbff90118966e30914b3a637b8315212c681bc4), concrete, org.kframework.attributes.Location(Location(1421,5,1424,23)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody "requires" Bool [klabel(#ruleRequires), symbol]), simplification] + axiom{R} \implies{R} ( + \equals{SortBool{},R}( + Lbl'UndsEqlsSlshEqls'Int'Unds'{}(VarI2:SortInt{},\dv{SortInt{}}("0")), + \dv{SortBool{}}("true")), + \equals{SortInt{},R} ( + Lbl'Unds'modInt'Unds'{}(VarI1:SortInt{},VarI2:SortInt{}), + \and{SortInt{}} ( + Lbl'UndsPerc'Int'Unds'{}(Lbl'UndsPlus'Int'Unds'{}(Lbl'UndsPerc'Int'Unds'{}(VarI1:SortInt{},LblabsInt'LParUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int{}(VarI2:SortInt{})),LblabsInt'LParUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int{}(VarI2:SortInt{})),LblabsInt'LParUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int{}(VarI2:SortInt{})), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("44257f63a99a0583c2d10058edbff90118966e30914b3a637b8315212c681bc4"), concrete{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1421,5,1424,23)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_modInt_`(X,N)=>X requires `_andBool_`(`_<=Int_`(#token("0","Int"),X),`_B requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(a5bb27ab54700cb845d17b12e0b0a4cbd5c8944272bcbe0d15ccc0b44d0049ff), org.kframework.attributes.Location(Location(1138,8,1138,32)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'orBool'Unds'{}(VarB:SortBool{},\dv{SortBool{}}("false")), + \and{SortBool{}} ( + VarB:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("a5bb27ab54700cb845d17b12e0b0a4cbd5c8944272bcbe0d15ccc0b44d0049ff"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1138,8,1138,32)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_orBool_`(_Gen0,#token("true","Bool"))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(942af273100b5a3c1fb3d0c8cc92b0bf845a7b34444c5a6c35b7d3fe72bef48e), org.kframework.attributes.Location(Location(1136,8,1136,34)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'orBool'Unds'{}(Var'Unds'Gen0:SortBool{},\dv{SortBool{}}("true")), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("942af273100b5a3c1fb3d0c8cc92b0bf845a7b34444c5a6c35b7d3fe72bef48e"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1136,8,1136,34)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_orBool_`(#token("false","Bool"),B)=>B requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(991a3290bc7b6dca75d676a72a848ec6b2bd2827fb0e9626252aa1507394ca1b), org.kframework.attributes.Location(Location(1137,8,1137,32)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("false") + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + VarB:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'orBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + VarB:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("991a3290bc7b6dca75d676a72a848ec6b2bd2827fb0e9626252aa1507394ca1b"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1137,8,1137,32)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_orBool_`(#token("true","Bool"),_Gen0)=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(71744528cdad83bc729990d3af3b544d27b09630b2615ca707dd2fc6ec93e7c2), org.kframework.attributes.Location(Location(1135,8,1135,34)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("true") + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + Var'Unds'Gen0:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'orBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("71744528cdad83bc729990d3af3b544d27b09630b2615ca707dd2fc6ec93e7c2"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1135,8,1135,34)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_orElseBool_`(K,#token("false","Bool"))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(13cf42d440f9a7a360a8136ee4b35ae7b99501f515322d214c3b866691f4713b), org.kframework.attributes.Location(Location(1143,8,1143,37)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'orElseBool'Unds'{}(VarK:SortBool{},\dv{SortBool{}}("false")), + \and{SortBool{}} ( + VarK:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("13cf42d440f9a7a360a8136ee4b35ae7b99501f515322d214c3b866691f4713b"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1143,8,1143,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_orElseBool_`(_Gen0,#token("true","Bool"))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2459cad4fbb946a5c7f71565601afeeec79f05f41497b1f7ef547578c88f3158), org.kframework.attributes.Location(Location(1141,8,1141,33)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'orElseBool'Unds'{}(Var'Unds'Gen0:SortBool{},\dv{SortBool{}}("true")), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("2459cad4fbb946a5c7f71565601afeeec79f05f41497b1f7ef547578c88f3158"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1141,8,1141,33)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_orElseBool_`(#token("false","Bool"),K)=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(eb8c85dac19a5951f694b65269c2b17c80d6d126d6a367958e4a5d736a880ecf), org.kframework.attributes.Location(Location(1142,8,1142,37)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("false") + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + VarK:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'orElseBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + VarK:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("eb8c85dac19a5951f694b65269c2b17c80d6d126d6a367958e4a5d736a880ecf"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1142,8,1142,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_orElseBool_`(#token("true","Bool"),_Gen0)=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(354bd0860c7f38b59e285c935fd2ea553ebddbabb4973342ad25f0dac6ea7bf6), org.kframework.attributes.Location(Location(1140,8,1140,33)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("true") + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + Var'Unds'Gen0:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'orElseBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("354bd0860c7f38b59e285c935fd2ea553ebddbabb4973342ad25f0dac6ea7bf6"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1140,8,1140,33)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_xorBool_`(B,B)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9a6d91cd75cd777b0d4db536b3e4b20578e74fe650e644b55294da95fd2dba7f), org.kframework.attributes.Location(Location(1133,8,1133,38)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + VarB:SortBool{} + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + VarB:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'xorBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("9a6d91cd75cd777b0d4db536b3e4b20578e74fe650e644b55294da95fd2dba7f"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1133,8,1133,38)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_xorBool_`(B,#token("false","Bool"))=>B requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(69f518203376930fb76ce51df5dd0c6c81d19f71eba3a1852afa5301d02eb4fa), org.kframework.attributes.Location(Location(1132,8,1132,38)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortBool{},R} ( + Lbl'Unds'xorBool'Unds'{}(VarB:SortBool{},\dv{SortBool{}}("false")), + \and{SortBool{}} ( + VarB:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("69f518203376930fb76ce51df5dd0c6c81d19f71eba3a1852afa5301d02eb4fa"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1132,8,1132,38)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_xorBool_`(#token("false","Bool"),B)=>B requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(73513655c09a595907ab9d26d67e27f01d14a3435743b77000c02d10f35c05bf), org.kframework.attributes.Location(Location(1131,8,1131,38)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("false") + ),\and{R} ( + \in{SortBool{}, R} ( + X1:SortBool{}, + VarB:SortBool{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'Unds'xorBool'Unds'{}(X0:SortBool{},X1:SortBool{}), + \and{SortBool{}} ( + VarB:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("73513655c09a595907ab9d26d67e27f01d14a3435743b77000c02d10f35c05bf"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1131,8,1131,38)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `_|Set__SET_Set_Set_Set`(S1,S2)=>`_Set_`(S1,`Set:difference`(S2,S1)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(c384edb8f3875244a593dda6163c3dee1bce5485e4e1848892aebc2bab67d2e9), concrete, org.kframework.attributes.Location(Location(749,8,749,45)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortSet{}, R} ( + X0:SortSet{}, + VarS1:SortSet{} + ),\and{R} ( + \in{SortSet{}, R} ( + X1:SortSet{}, + VarS2:SortSet{} + ), + \top{R} () + ))), + \equals{SortSet{},R} ( + Lbl'UndsPipe'Set'UndsUnds'SET'Unds'Set'Unds'Set'Unds'Set{}(X0:SortSet{},X1:SortSet{}), + \and{SortSet{}} ( + Lbl'Unds'Set'Unds'{}(VarS1:SortSet{},LblSet'Coln'difference{}(VarS2:SortSet{},VarS1:SortSet{})), + \top{SortSet{}}()))) + [UNIQUE'Unds'ID{}("c384edb8f3875244a593dda6163c3dee1bce5485e4e1848892aebc2bab67d2e9"), concrete{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(749,8,749,45)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `bitRangeInt(_,_,_)_INT-COMMON_Int_Int_Int_Int`(I,IDX,LEN)=>`_modInt_`(`_>>Int_`(I,IDX),`_<I requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(cf2cb8f038b4bdc4edb1334a3b8ced9cd296a7af43f0a1916e082a4e1aefa08b), org.kframework.attributes.Location(Location(1433,8,1433,28)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortInt{}, R} ( + X0:SortInt{}, + VarI:SortInt{} + ), + \top{R} () + )), + \equals{SortInt{},R} ( + LblfreshInt'LParUndsRParUnds'INT'Unds'Int'Unds'Int{}(X0:SortInt{}), + \and{SortInt{}} ( + VarI:SortInt{}, + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("cf2cb8f038b4bdc4edb1334a3b8ced9cd296a7af43f0a1916e082a4e1aefa08b"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1433,8,1433,28)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule getGeneratedCounterCell(``(_DotVar0,Cell))=>Cell requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9ef5eb9b9e6bbd7436911fad20615821f61e06e742dd27773001ab0664bd1de3)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortGeneratedTopCell{}, R} ( + X0:SortGeneratedTopCell{}, + Lbl'-LT-'generatedTop'-GT-'{}(Var'Unds'DotVar0:SortKCell{},VarCell:SortGeneratedCounterCell{}) + ), + \top{R} () + )), + \equals{SortGeneratedCounterCell{},R} ( + LblgetGeneratedCounterCell{}(X0:SortGeneratedTopCell{}), + \and{SortGeneratedCounterCell{}} ( + VarCell:SortGeneratedCounterCell{}, + \top{SortGeneratedCounterCell{}}()))) + [UNIQUE'Unds'ID{}("9ef5eb9b9e6bbd7436911fad20615821f61e06e742dd27773001ab0664bd1de3")] + +// rule initGeneratedCounterCell(.KList)=>``(#token("0","Int")) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(5de11f6b50c4684c0e05b773f809d756f4ce9c03a4f24e23a9cddaf3fa31f553), initializer] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + + \top{R} () + ), + \equals{SortGeneratedCounterCell{},R} ( + LblinitGeneratedCounterCell{}(), + \and{SortGeneratedCounterCell{}} ( + Lbl'-LT-'generatedCounter'-GT-'{}(\dv{SortInt{}}("0")), + \top{SortGeneratedCounterCell{}}()))) + [UNIQUE'Unds'ID{}("5de11f6b50c4684c0e05b773f809d756f4ce9c03a4f24e23a9cddaf3fa31f553")] + +// rule initGeneratedTopCell(Init)=>``(initKCell(Init),initGeneratedCounterCell(.KList)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(4cbc9d1da6e6bfe3605113d64379a38394b46b474e41d7bf884f8912546543b1), initializer] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortMap{}, R} ( + X0:SortMap{}, + VarInit:SortMap{} + ), + \top{R} () + )), + \equals{SortGeneratedTopCell{},R} ( + LblinitGeneratedTopCell{}(X0:SortMap{}), + \and{SortGeneratedTopCell{}} ( + Lbl'-LT-'generatedTop'-GT-'{}(LblinitKCell{}(VarInit:SortMap{}),LblinitGeneratedCounterCell{}()), + \top{SortGeneratedTopCell{}}()))) + [UNIQUE'Unds'ID{}("4cbc9d1da6e6bfe3605113d64379a38394b46b474e41d7bf884f8912546543b1")] + +// rule initKCell(Init)=>``(inj{Pgm,KItem}(`project:Pgm`(`Map:lookup`(Init,inj{KConfigVar,KItem}(#token("$PGM","KConfigVar")))))) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2c27c82d95db0d013b27337c5057cdbf7d8d5ae5460c4707579c33ffff961106), initializer] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortMap{}, R} ( + X0:SortMap{}, + VarInit:SortMap{} + ), + \top{R} () + )), + \equals{SortKCell{},R} ( + LblinitKCell{}(X0:SortMap{}), + \and{SortKCell{}} ( + Lbl'-LT-'k'-GT-'{}(kseq{}(inj{SortPgm{}, SortKItem{}}(Lblproject'Coln'Pgm{}(kseq{}(LblMap'Coln'lookup{}(VarInit:SortMap{},inj{SortKConfigVar{}, SortKItem{}}(\dv{SortKConfigVar{}}("$PGM"))),dotk{}()))),dotk{}())), + \top{SortKCell{}}()))) + [UNIQUE'Unds'ID{}("2c27c82d95db0d013b27337c5057cdbf7d8d5ae5460c4707579c33ffff961106")] + +// rule isBool(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(495da551d13b205c8648618471ccfca028707f98eff21e6b11d591515ed6f29a), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen0:SortBool{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortBool{}, SortKItem{}}(Var'Unds'Gen0:SortBool{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisBool{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("495da551d13b205c8648618471ccfca028707f98eff21e6b11d591515ed6f29a"), owise{}()] + +// rule isBool(inj{Bool,KItem}(Bool))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(dadad716b2f6a82fa4b2cc8f903a1b8f1f6e8cfa63f18b72a7cb35110bdcff77)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortBool{}, SortKItem{}}(VarBool:SortBool{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisBool{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("dadad716b2f6a82fa4b2cc8f903a1b8f1f6e8cfa63f18b72a7cb35110bdcff77")] + +// rule isGeneratedCounterCell(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(b0c8eb86594a387398bf96f2dbf773cff29d14b8a45c5f6701f205bf3d2f33ba), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen0:SortGeneratedCounterCell{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedCounterCell{}, SortKItem{}}(Var'Unds'Gen0:SortGeneratedCounterCell{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisGeneratedCounterCell{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("b0c8eb86594a387398bf96f2dbf773cff29d14b8a45c5f6701f205bf3d2f33ba"), owise{}()] + +// rule isGeneratedCounterCell(inj{GeneratedCounterCell,KItem}(GeneratedCounterCell))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(f7b6a3dbee5a80d5eeba727f40009876995660d4052a45fc50c55f88c5fc1a7c)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedCounterCell{}, SortKItem{}}(VarGeneratedCounterCell:SortGeneratedCounterCell{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisGeneratedCounterCell{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("f7b6a3dbee5a80d5eeba727f40009876995660d4052a45fc50c55f88c5fc1a7c")] + +// rule isGeneratedCounterCellOpt(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(84cfc8e964ec28b1912ffec4e6f5fccfcbad2256a1cba113622d99b11c13afd6), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortGeneratedCounterCellOpt{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedCounterCellOpt{}, SortKItem{}}(Var'Unds'Gen1:SortGeneratedCounterCellOpt{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisGeneratedCounterCellOpt{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("84cfc8e964ec28b1912ffec4e6f5fccfcbad2256a1cba113622d99b11c13afd6"), owise{}()] + +// rule isGeneratedCounterCellOpt(inj{GeneratedCounterCellOpt,KItem}(GeneratedCounterCellOpt))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(a4ff3e170677e099d4b28085658942cb10fcf871aa99abcdf73927596c180f12)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedCounterCellOpt{}, SortKItem{}}(VarGeneratedCounterCellOpt:SortGeneratedCounterCellOpt{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisGeneratedCounterCellOpt{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("a4ff3e170677e099d4b28085658942cb10fcf871aa99abcdf73927596c180f12")] + +// rule isGeneratedTopCell(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(ccb9226d9e6c0e476485f098ef162c6c2206ed3af1d8336ea3ae859b86bc4a8b), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortGeneratedTopCell{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedTopCell{}, SortKItem{}}(Var'Unds'Gen1:SortGeneratedTopCell{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisGeneratedTopCell{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("ccb9226d9e6c0e476485f098ef162c6c2206ed3af1d8336ea3ae859b86bc4a8b"), owise{}()] + +// rule isGeneratedTopCell(inj{GeneratedTopCell,KItem}(GeneratedTopCell))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(3bcf423225700e329d0533cfd806eb9bab91f9d8de0979c8d8e381fe5d076bb2)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedTopCell{}, SortKItem{}}(VarGeneratedTopCell:SortGeneratedTopCell{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisGeneratedTopCell{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("3bcf423225700e329d0533cfd806eb9bab91f9d8de0979c8d8e381fe5d076bb2")] + +// rule isGeneratedTopCellFragment(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(98049f5819962c7ee2b01436957b6cf8460b106979fa2c24f4c606bbf6cb1592), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen0:SortGeneratedTopCellFragment{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedTopCellFragment{}, SortKItem{}}(Var'Unds'Gen0:SortGeneratedTopCellFragment{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisGeneratedTopCellFragment{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("98049f5819962c7ee2b01436957b6cf8460b106979fa2c24f4c606bbf6cb1592"), owise{}()] + +// rule isGeneratedTopCellFragment(inj{GeneratedTopCellFragment,KItem}(GeneratedTopCellFragment))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(559f2cdc0ab425bb065cc3174f4a1af4d9ca834f762a814cf3dfbf9a9d7f8271)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedTopCellFragment{}, SortKItem{}}(VarGeneratedTopCellFragment:SortGeneratedTopCellFragment{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisGeneratedTopCellFragment{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("559f2cdc0ab425bb065cc3174f4a1af4d9ca834f762a814cf3dfbf9a9d7f8271")] + +// rule isInt(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(105572a4ac107eeb518b37c4d6ed3e28732b83afb0ba085d02d339c4fc2140a0), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortInt{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortInt{}, SortKItem{}}(Var'Unds'Gen1:SortInt{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisInt{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("105572a4ac107eeb518b37c4d6ed3e28732b83afb0ba085d02d339c4fc2140a0"), owise{}()] + +// rule isInt(inj{Int,KItem}(Int))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(92664aa821c8898ff16b4e72ad0bdf363f755c7660d28dcb69c129a2c94bc6b5)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortInt{}, SortKItem{}}(VarInt:SortInt{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisInt{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("92664aa821c8898ff16b4e72ad0bdf363f755c7660d28dcb69c129a2c94bc6b5")] + +// rule isK(K)=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(16ff77cff0ef50026a8b3f4614b87bda465701918596b7ad2280baffff56f847)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisK{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("16ff77cff0ef50026a8b3f4614b87bda465701918596b7ad2280baffff56f847")] + +// rule isKCell(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(d30be57718b4b3745eaf2e99f875cfec7d5be2ff76bacde8a89bd4ab659d857f), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortKCell{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortKCell{}, SortKItem{}}(Var'Unds'Gen1:SortKCell{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisKCell{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("d30be57718b4b3745eaf2e99f875cfec7d5be2ff76bacde8a89bd4ab659d857f"), owise{}()] + +// rule isKCell(inj{KCell,KItem}(KCell))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2695222b1238f711f8a356c0a1bc0ac418d7bd78fd3282e7c60882e2631a46df)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortKCell{}, SortKItem{}}(VarKCell:SortKCell{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisKCell{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("2695222b1238f711f8a356c0a1bc0ac418d7bd78fd3282e7c60882e2631a46df")] + +// rule isKCellOpt(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9a3f84195242c98b432c7c63a4189f4276cc3189445c5cf37ce08d9a6547b1f7), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen0:SortKCellOpt{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortKCellOpt{}, SortKItem{}}(Var'Unds'Gen0:SortKCellOpt{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisKCellOpt{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("9a3f84195242c98b432c7c63a4189f4276cc3189445c5cf37ce08d9a6547b1f7"), owise{}()] + +// rule isKCellOpt(inj{KCellOpt,KItem}(KCellOpt))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(1516473b1e153a368c273997543a4378ad451e5e828db8e289f4447f7e5228a5)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortKCellOpt{}, SortKItem{}}(VarKCellOpt:SortKCellOpt{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisKCellOpt{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("1516473b1e153a368c273997543a4378ad451e5e828db8e289f4447f7e5228a5")] + +// rule isKConfigVar(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(f68a616e301c35586f68e97b729ae274278c3ef8fe6634711cfd3e1746bc0bc2), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortKConfigVar{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortKConfigVar{}, SortKItem{}}(Var'Unds'Gen1:SortKConfigVar{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisKConfigVar{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("f68a616e301c35586f68e97b729ae274278c3ef8fe6634711cfd3e1746bc0bc2"), owise{}()] + +// rule isKConfigVar(inj{KConfigVar,KItem}(KConfigVar))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(0ef0a00bb321f2c2a62a3239327de70ecb8e907a950cd20034c46b84e040ebcd)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortKConfigVar{}, SortKItem{}}(VarKConfigVar:SortKConfigVar{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisKConfigVar{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("0ef0a00bb321f2c2a62a3239327de70ecb8e907a950cd20034c46b84e040ebcd")] + +// rule isKItem(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(83812b6b9e31a764d66d89fd1c7e65b9b162d52c5aebfe99b1536e200a9590c2), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortKItem{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(Var'Unds'Gen1:SortKItem{},dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisKItem{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("83812b6b9e31a764d66d89fd1c7e65b9b162d52c5aebfe99b1536e200a9590c2"), owise{}()] + +// rule isKItem(KItem)=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(ed3c25a7dab5e5fbc101589e2fa74ac91aa107f051d22a01378222d08643373c)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(VarKItem:SortKItem{},dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisKItem{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("ed3c25a7dab5e5fbc101589e2fa74ac91aa107f051d22a01378222d08643373c")] + +// rule isList(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9a9489adcf0279eca74c012bb1130bb9d30372cfbebc8e4ab4b173656c4d6613), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortList{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortList{}, SortKItem{}}(Var'Unds'Gen1:SortList{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisList{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("9a9489adcf0279eca74c012bb1130bb9d30372cfbebc8e4ab4b173656c4d6613"), owise{}()] + +// rule isList(inj{List,KItem}(List))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(7d4dddf5bbdb61cfd11fb9be1071be7bd551cf186607cf6f493cfade3221c446)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortList{}, SortKItem{}}(VarList:SortList{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisList{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("7d4dddf5bbdb61cfd11fb9be1071be7bd551cf186607cf6f493cfade3221c446")] + +// rule isMap(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(6f30a2087d0b19640df005437bc3f4665f41282666a72821b17b16c99ed5afee), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortMap{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortMap{}, SortKItem{}}(Var'Unds'Gen1:SortMap{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisMap{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("6f30a2087d0b19640df005437bc3f4665f41282666a72821b17b16c99ed5afee"), owise{}()] + +// rule isMap(inj{Map,KItem}(Map))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(4879c0fcf6b7d7f3d6b751e4f460f8dced005a44ae5ff600cffcea784cf58795)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortMap{}, SortKItem{}}(VarMap:SortMap{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisMap{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("4879c0fcf6b7d7f3d6b751e4f460f8dced005a44ae5ff600cffcea784cf58795")] + +// rule isPgm(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(d81e24a5fb48fd63fad83552f4be2f353fc339daa0f1287ac210fda817b975c8), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortPgm{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortPgm{}, SortKItem{}}(Var'Unds'Gen1:SortPgm{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisPgm{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("d81e24a5fb48fd63fad83552f4be2f353fc339daa0f1287ac210fda817b975c8"), owise{}()] + +// rule isPgm(inj{Pgm,KItem}(Pgm))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(ab1ce0ad25ba45a63671fdb97f4420e1f04f944e98383fcf5e38be330aa4a7d7)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortPgm{}, SortKItem{}}(VarPgm:SortPgm{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisPgm{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("ab1ce0ad25ba45a63671fdb97f4420e1f04f944e98383fcf5e38be330aa4a7d7")] + +// rule isSet(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2b5aadccd9b89faba72816867187d48d279d8c27c8bda1a1b3b0658bd82bb783), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortSet{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortSet{}, SortKItem{}}(Var'Unds'Gen1:SortSet{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisSet{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("2b5aadccd9b89faba72816867187d48d279d8c27c8bda1a1b3b0658bd82bb783"), owise{}()] + +// rule isSet(inj{Set,KItem}(Set))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(f205bc460bdb728b4c3458643699be30d519db4d8b13e80e2c27082b9e846e80)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortSet{}, SortKItem{}}(VarSet:SortSet{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisSet{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("f205bc460bdb728b4c3458643699be30d519db4d8b13e80e2c27082b9e846e80")] + +// rule `minInt(_,_)_INT-COMMON_Int_Int_Int`(I1,I2)=>I1 requires `_<=Int_`(I1,I2) ensures #token("true","Bool") [UNIQUE_ID(fb09b6acc4366cb77203e07c4efe8a9cf304e1bac9fb0664deea05d3eb9a80c6), org.kframework.attributes.Location(Location(1426,8,1426,57)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody "requires" Bool [klabel(#ruleRequires), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \equals{SortBool{},R}( + Lbl'Unds-LT-Eqls'Int'Unds'{}(VarI1:SortInt{},VarI2:SortInt{}), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortInt{}, R} ( + X0:SortInt{}, + VarI1:SortInt{} + ),\and{R} ( + \in{SortInt{}, R} ( + X1:SortInt{}, + VarI2:SortInt{} + ), + \top{R} () + ))), + \equals{SortInt{},R} ( + LblminInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(X0:SortInt{},X1:SortInt{}), + \and{SortInt{}} ( + VarI1:SortInt{}, + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("fb09b6acc4366cb77203e07c4efe8a9cf304e1bac9fb0664deea05d3eb9a80c6"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1426,8,1426,57)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `minInt(_,_)_INT-COMMON_Int_Int_Int`(I1,I2)=>I2 requires `_>=Int_`(I1,I2) ensures #token("true","Bool") [UNIQUE_ID(e1effeabf96bb3a3beffd5b679ad5df95c4f8bbf42872b0793331e52a8470fb3), org.kframework.attributes.Location(Location(1427,8,1427,57)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody "requires" Bool [klabel(#ruleRequires), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \equals{SortBool{},R}( + Lbl'Unds-GT-Eqls'Int'Unds'{}(VarI1:SortInt{},VarI2:SortInt{}), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortInt{}, R} ( + X0:SortInt{}, + VarI1:SortInt{} + ),\and{R} ( + \in{SortInt{}, R} ( + X1:SortInt{}, + VarI2:SortInt{} + ), + \top{R} () + ))), + \equals{SortInt{},R} ( + LblminInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(X0:SortInt{},X1:SortInt{}), + \and{SortInt{}} ( + VarI2:SortInt{}, + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("e1effeabf96bb3a3beffd5b679ad5df95c4f8bbf42872b0793331e52a8470fb3"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1427,8,1427,57)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `notBool_`(#token("false","Bool"))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(17ebc68421572b8ebe609c068fb49cbb6cbbe3246e2142257ad8befdda38f415), org.kframework.attributes.Location(Location(1119,8,1119,29)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("false") + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblnotBool'Unds'{}(X0:SortBool{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("17ebc68421572b8ebe609c068fb49cbb6cbbe3246e2142257ad8befdda38f415"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1119,8,1119,29)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `notBool_`(#token("true","Bool"))=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(53fc758ece1ff16581673016dfacc556cc30fcf6b3c35b586f001d76a1f9336c), org.kframework.attributes.Location(Location(1118,8,1118,29)), org.kframework.attributes.Source(Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol])] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortBool{}, R} ( + X0:SortBool{}, + \dv{SortBool{}}("true") + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblnotBool'Unds'{}(X0:SortBool{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("53fc758ece1ff16581673016dfacc556cc30fcf6b3c35b586f001d76a1f9336c"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1118,8,1118,29)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/vr6q2zjxk855f0vzq69gxqr7bm7nf46b-k-6.3.29-bea8cf38cf5963aa47bef31250edcfcadf2905c5/include/kframework/builtin/domains.md)")] + +// rule `project:Bool`(inj{Bool,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(5872f0d5b8131216db7bc41e2c3a423e55f4b8581589fcbd1bf93b2ca6862d54), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortBool{}, SortKItem{}}(VarK:SortBool{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + Lblproject'Coln'Bool{}(X0:SortK{}), + \and{SortBool{}} ( + VarK:SortBool{}, + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("5872f0d5b8131216db7bc41e2c3a423e55f4b8581589fcbd1bf93b2ca6862d54")] + +// rule `project:GeneratedCounterCell`(inj{GeneratedCounterCell,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(63453db9d9aa121b63bb877e2fa4998d399ef82d2a1e4b90f87a32ba55401217), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedCounterCell{}, SortKItem{}}(VarK:SortGeneratedCounterCell{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortGeneratedCounterCell{},R} ( + Lblproject'Coln'GeneratedCounterCell{}(X0:SortK{}), + \and{SortGeneratedCounterCell{}} ( + VarK:SortGeneratedCounterCell{}, + \top{SortGeneratedCounterCell{}}()))) + [UNIQUE'Unds'ID{}("63453db9d9aa121b63bb877e2fa4998d399ef82d2a1e4b90f87a32ba55401217")] + +// rule `project:GeneratedCounterCellOpt`(inj{GeneratedCounterCellOpt,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(9325a900267ae528f7cd09f3b44b825dd9ff344c38d38383c08fa697cc67efca), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedCounterCellOpt{}, SortKItem{}}(VarK:SortGeneratedCounterCellOpt{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortGeneratedCounterCellOpt{},R} ( + Lblproject'Coln'GeneratedCounterCellOpt{}(X0:SortK{}), + \and{SortGeneratedCounterCellOpt{}} ( + VarK:SortGeneratedCounterCellOpt{}, + \top{SortGeneratedCounterCellOpt{}}()))) + [UNIQUE'Unds'ID{}("9325a900267ae528f7cd09f3b44b825dd9ff344c38d38383c08fa697cc67efca")] + +// rule `project:GeneratedTopCell`(inj{GeneratedTopCell,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(b0fabd8c7c81fe08ebd569aff59747d357e441ae1fcd05d9d594d57e38e3d55e), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedTopCell{}, SortKItem{}}(VarK:SortGeneratedTopCell{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortGeneratedTopCell{},R} ( + Lblproject'Coln'GeneratedTopCell{}(X0:SortK{}), + \and{SortGeneratedTopCell{}} ( + VarK:SortGeneratedTopCell{}, + \top{SortGeneratedTopCell{}}()))) + [UNIQUE'Unds'ID{}("b0fabd8c7c81fe08ebd569aff59747d357e441ae1fcd05d9d594d57e38e3d55e")] + +// rule `project:GeneratedTopCellFragment`(inj{GeneratedTopCellFragment,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2084fac322aa142a07f881814b8a286bf62d5c6d05777b7aa715ccc534cf9a42), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedTopCellFragment{}, SortKItem{}}(VarK:SortGeneratedTopCellFragment{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortGeneratedTopCellFragment{},R} ( + Lblproject'Coln'GeneratedTopCellFragment{}(X0:SortK{}), + \and{SortGeneratedTopCellFragment{}} ( + VarK:SortGeneratedTopCellFragment{}, + \top{SortGeneratedTopCellFragment{}}()))) + [UNIQUE'Unds'ID{}("2084fac322aa142a07f881814b8a286bf62d5c6d05777b7aa715ccc534cf9a42")] + +// rule `project:Int`(inj{Int,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(f316b871091516c401f1d2382cc5f66322602b782c7b01e1aeb6c2ddab50e24b), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortInt{}, SortKItem{}}(VarK:SortInt{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortInt{},R} ( + Lblproject'Coln'Int{}(X0:SortK{}), + \and{SortInt{}} ( + VarK:SortInt{}, + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("f316b871091516c401f1d2382cc5f66322602b782c7b01e1aeb6c2ddab50e24b")] + +// rule `project:K`(K)=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(25b529ddcefd25ef63f99a62040145ef27638e7679ea9202218fe14be98dff3a), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + )), + \equals{SortK{},R} ( + Lblproject'Coln'K{}(X0:SortK{}), + \and{SortK{}} ( + VarK:SortK{}, + \top{SortK{}}()))) + [UNIQUE'Unds'ID{}("25b529ddcefd25ef63f99a62040145ef27638e7679ea9202218fe14be98dff3a")] + +// rule `project:KCell`(inj{KCell,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(894c13c4c410f11e35bc3781505aeddde4ff400ddda1daf8b35259dbf0de9a24), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortKCell{}, SortKItem{}}(VarK:SortKCell{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortKCell{},R} ( + Lblproject'Coln'KCell{}(X0:SortK{}), + \and{SortKCell{}} ( + VarK:SortKCell{}, + \top{SortKCell{}}()))) + [UNIQUE'Unds'ID{}("894c13c4c410f11e35bc3781505aeddde4ff400ddda1daf8b35259dbf0de9a24")] + +// rule `project:KCellOpt`(inj{KCellOpt,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(f684dd78d97feadf0cbcb3cbb8892e0842f137c7b29a904cb2f3fc9755b29b30), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortKCellOpt{}, SortKItem{}}(VarK:SortKCellOpt{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortKCellOpt{},R} ( + Lblproject'Coln'KCellOpt{}(X0:SortK{}), + \and{SortKCellOpt{}} ( + VarK:SortKCellOpt{}, + \top{SortKCellOpt{}}()))) + [UNIQUE'Unds'ID{}("f684dd78d97feadf0cbcb3cbb8892e0842f137c7b29a904cb2f3fc9755b29b30")] + +// rule `project:KItem`(K)=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(1242e49c17638c9a66a35e3bb8c237288f7e9aa9a6499101e8cdc55be320cd29), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(VarK:SortKItem{},dotk{}()) + ), + \top{R} () + )), + \equals{SortKItem{},R} ( + Lblproject'Coln'KItem{}(X0:SortK{}), + \and{SortKItem{}} ( + VarK:SortKItem{}, + \top{SortKItem{}}()))) + [UNIQUE'Unds'ID{}("1242e49c17638c9a66a35e3bb8c237288f7e9aa9a6499101e8cdc55be320cd29")] + +// rule `project:List`(inj{List,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(2b75eac5a59779d336e6cf9632bf9ba7d67286f322e753108b34e62f2443efe5), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortList{}, SortKItem{}}(VarK:SortList{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortList{},R} ( + Lblproject'Coln'List{}(X0:SortK{}), + \and{SortList{}} ( + VarK:SortList{}, + \top{SortList{}}()))) + [UNIQUE'Unds'ID{}("2b75eac5a59779d336e6cf9632bf9ba7d67286f322e753108b34e62f2443efe5")] + +// rule `project:Map`(inj{Map,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(031237d4aae58d86914d6370d37ccd15f4738378ed780333c59cc81b4f7bc598), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortMap{}, SortKItem{}}(VarK:SortMap{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortMap{},R} ( + Lblproject'Coln'Map{}(X0:SortK{}), + \and{SortMap{}} ( + VarK:SortMap{}, + \top{SortMap{}}()))) + [UNIQUE'Unds'ID{}("031237d4aae58d86914d6370d37ccd15f4738378ed780333c59cc81b4f7bc598")] + +// rule `project:Pgm`(inj{Pgm,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(ddb4777eb97ab87ee0e1ea5bab55f10607991a4f447f275af1037d1b7c18329d), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortPgm{}, SortKItem{}}(VarK:SortPgm{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortPgm{},R} ( + Lblproject'Coln'Pgm{}(X0:SortK{}), + \and{SortPgm{}} ( + VarK:SortPgm{}, + \top{SortPgm{}}()))) + [UNIQUE'Unds'ID{}("ddb4777eb97ab87ee0e1ea5bab55f10607991a4f447f275af1037d1b7c18329d")] + +// rule `project:Set`(inj{Set,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(0e7f5070c993161786e314f7199d985afebac9e07b5c784f6f623780c60ce9d0), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortSet{}, SortKItem{}}(VarK:SortSet{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortSet{},R} ( + Lblproject'Coln'Set{}(X0:SortK{}), + \and{SortSet{}} ( + VarK:SortSet{}, + \top{SortSet{}}()))) + [UNIQUE'Unds'ID{}("0e7f5070c993161786e314f7199d985afebac9e07b5c784f6f623780c60ce9d0")] + +// rule `signExtendBitRangeInt(_,_,_)_INT-COMMON_Int_Int_Int_Int`(I,IDX,LEN)=>`_-Int_`(`_modInt_`(`_+Int_`(`bitRangeInt(_,_,_)_INT-COMMON_Int_Int_Int_Int`(I,IDX,LEN),`_<`_+Int_`(`size(_)_LIST_Int_List`(WS),#token("1","Int")) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(5e36b4567b66701b2da8f007202050103c10b0c1cee410db245817c965f1204a), label(TEST.simplify-size), org.kframework.attributes.Location(Location(11,25,11,64)), org.kframework.attributes.Source(Source(/home/geo2a/Workspace/RV/haskell-backend/other-pr/test/rpc-server/simplify/list-matching/test.k)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody [klabel(#ruleNoConditions), symbol]), simplification] + axiom{R} \implies{R} ( + \top{R}(), + \equals{SortInt{},R} ( + Lblsize'LParUndsRParUnds'LIST'Unds'Int'Unds'List{}(Lbl'Unds'List'Unds'{}(LblListItem{}(Var'Unds'Gen0:SortKItem{}),VarWS:SortList{})), + \and{SortInt{}} ( + Lbl'UndsPlus'Int'Unds'{}(Lblsize'LParUndsRParUnds'LIST'Unds'Int'Unds'List{}(VarWS:SortList{}),\dv{SortInt{}}("1")), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("5e36b4567b66701b2da8f007202050103c10b0c1cee410db245817c965f1204a"), label{}("TEST.simplify-size"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(11,25,11,64)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/geo2a/Workspace/RV/haskell-backend/other-pr/test/rpc-server/simplify/list-matching/test.k)"), simplification{}("")] + +// rule #Ceil{Map,#SortParam}(`_Map_`(`_|->_`(@K0,@K1),@Rest))=>#And{#SortParam}(#Equals{Bool,#SortParam}(`_in_keys(_)_MAP_Bool_KItem_Map`(@K0,@Rest),#token("false","Bool")),#And{#SortParam}(#Top{#SortParam}(.KList),#Ceil{KItem,#SortParam}(@K1))) requires #token("true","Bool") ensures #token("true","Bool") [simplification, sortParams({Q0})] + axiom{R,Q0} \implies{R} ( + \top{R}(), + \equals{Q0,R} ( + \ceil{SortMap{}, Q0}(Lbl'Unds'Map'Unds'{}(Lbl'UndsPipe'-'-GT-Unds'{}(@VarK0:SortKItem{},@VarK1:SortKItem{}),@VarRest:SortMap{})), + \and{Q0} ( + \and{Q0}(\equals{SortBool{}, Q0}(Lbl'Unds'in'Unds'keys'LParUndsRParUnds'MAP'Unds'Bool'Unds'KItem'Unds'Map{}(@VarK0:SortKItem{},@VarRest:SortMap{}),\dv{SortBool{}}("false")),\and{Q0}(\top{Q0}(),\ceil{SortKItem{}, Q0}(@VarK1:SortKItem{}))), + \top{Q0}()))) + [simplification{}("")] + +endmodule [org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1,1,13,10)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/geo2a/Workspace/RV/haskell-backend/other-pr/test/rpc-server/simplify/list-matching/test.k)")] diff --git a/test/rpc-server/execute/list-matching/params.json b/test/rpc-server/execute/list-matching/params.json new file mode 100644 index 0000000000..0967ef424b --- /dev/null +++ b/test/rpc-server/execute/list-matching/params.json @@ -0,0 +1 @@ +{} diff --git a/test/rpc-server/execute/list-matching/response.golden b/test/rpc-server/execute/list-matching/response.golden new file mode 100644 index 0000000000..629da89ea8 --- /dev/null +++ b/test/rpc-server/execute/list-matching/response.golden @@ -0,0 +1 @@ +{"jsonrpc":"2.0","id":1,"result":{"reason":"stuck","depth":1,"state":{"term":{"format":"KORE","version":1,"term":{"tag":"App","name":"Lbl'-LT-'generatedTop'-GT-'","sorts":[],"args":[{"tag":"App","name":"Lbl'-LT-'k'-GT-'","sorts":[],"args":[{"tag":"App","name":"kseq","sorts":[],"args":[{"tag":"App","name":"inj","sorts":[{"tag":"SortApp","name":"SortPgm","args":[]},{"tag":"SortApp","name":"SortKItem","args":[]}],"args":[{"tag":"App","name":"Lblbar'LParRParUnds'TEST'Unds'Pgm","sorts":[],"args":[]}]},{"tag":"EVar","name":"VarK'Unds'CELL'Unds'fc656f08","sort":{"tag":"SortApp","name":"SortK","args":[]}}]}]},{"tag":"App","name":"Lbl'-LT-'generatedCounter'-GT-'","sorts":[],"args":[{"tag":"EVar","name":"VarGENERATEDCOUNTER'Unds'CELL'Unds'c84b0b5f","sort":{"tag":"SortApp","name":"SortInt","args":[]}}]}]}}}}} diff --git a/test/rpc-server/execute/list-matching/state.json b/test/rpc-server/execute/list-matching/state.json new file mode 100644 index 0000000000..8b6a67ac4c --- /dev/null +++ b/test/rpc-server/execute/list-matching/state.json @@ -0,0 +1,74 @@ +{ + "format": "KORE", + "version": 1, + "term": { + "tag": "App", + "name": "Lbl'-LT-'generatedTop'-GT-'", + "sorts": [], + "args": [ + { + "tag": "App", + "name": "Lbl'-LT-'k'-GT-'", + "sorts": [], + "args": [ + { + "tag": "App", + "name": "kseq", + "sorts": [], + "args": [ + { + "tag": "App", + "name": "inj", + "sorts": [ + { + "tag": "SortApp", + "name": "SortPgm", + "args": [] + }, + { + "tag": "SortApp", + "name": "SortKItem", + "args": [] + } + ], + "args": [ + { + "tag": "App", + "name": "Lblfoo'LParRParUnds'TEST'Unds'Pgm", + "sorts": [], + "args": [] + } + ] + }, + { + "tag": "EVar", + "name": "VarK'Unds'CELL'Unds'fc656f08", + "sort": { + "tag": "SortApp", + "name": "SortK", + "args": [] + } + } + ] + } + ] + }, + { + "tag": "App", + "name": "Lbl'-LT-'generatedCounter'-GT-'", + "sorts": [], + "args": [ + { + "tag": "EVar", + "name": "VarGENERATEDCOUNTER'Unds'CELL'Unds'c84b0b5f", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + } + } + ] + } + ] + } +} diff --git a/test/rpc-server/execute/list-matching/test.k b/test/rpc-server/execute/list-matching/test.k new file mode 100644 index 0000000000..d21859d0d9 --- /dev/null +++ b/test/rpc-server/execute/list-matching/test.k @@ -0,0 +1,13 @@ +module TEST + imports INT + imports BOOL + imports LIST + + configuration $PGM:Pgm + + syntax Pgm ::= foo() | bar() + + rule foo() => bar() ensures size(ListItem(?A:Int) ListItem(?B:Int) ?L:List) >Int 0 + rule [simplify-size]: size(ListItem(_) WS) => size(WS) +Int 1 [simplification] + +endmodule diff --git a/test/rpc-server/simplify/list-matching/README.md b/test/rpc-server/simplify/list-matching/README.md new file mode 100644 index 0000000000..1707651ef8 --- /dev/null +++ b/test/rpc-server/simplify/list-matching/README.md @@ -0,0 +1,15 @@ +# Simplifying a list concatenation expression + +Similar to `../../execute/list-matching` and uses the same definition, but instead sends a simplify request. + +Input: +``` +{ true #Equals size(ListItem(A) ListItem (B:Int) L:List) >Int 0 } +``` + +Output: +``` +#Top +``` + +See the original issue for context: https://github.com/runtimeverification/haskell-backend/issues/3749 diff --git a/test/rpc-server/simplify/list-matching/definition.kore b/test/rpc-server/simplify/list-matching/definition.kore new file mode 120000 index 0000000000..b55662a4d8 --- /dev/null +++ b/test/rpc-server/simplify/list-matching/definition.kore @@ -0,0 +1 @@ +../../execute/list-matching/definition.kore \ No newline at end of file diff --git a/test/rpc-server/simplify/list-matching/params.json b/test/rpc-server/simplify/list-matching/params.json new file mode 100644 index 0000000000..0967ef424b --- /dev/null +++ b/test/rpc-server/simplify/list-matching/params.json @@ -0,0 +1 @@ +{} diff --git a/test/rpc-server/simplify/list-matching/response.golden b/test/rpc-server/simplify/list-matching/response.golden new file mode 100644 index 0000000000..acea855577 --- /dev/null +++ b/test/rpc-server/simplify/list-matching/response.golden @@ -0,0 +1 @@ +{"jsonrpc":"2.0","id":1,"result":{"state":{"format":"KORE","version":1,"term":{"tag":"Top","sort":{"tag":"SortApp","name":"SortGeneratedTopCell","args":[]}}}}} diff --git a/test/rpc-server/simplify/list-matching/state.json b/test/rpc-server/simplify/list-matching/state.json new file mode 100644 index 0000000000..ac5d349e9e --- /dev/null +++ b/test/rpc-server/simplify/list-matching/state.json @@ -0,0 +1 @@ +{"format":"KORE","version":1,"term":{"tag":"Equals","argSort":{"tag":"SortApp","name":"SortBool","args":[]},"sort":{"tag":"SortApp","name":"SortGeneratedTopCell","args":[]},"first":{"tag":"DV","sort":{"tag":"SortApp","name":"SortBool","args":[]},"value":"true"},"second":{"tag":"App","name":"Lbl'Unds-GT-'Int'Unds'","sorts":[],"args":[{"tag":"App","name":"Lblsize'LParUndsRParUnds'LIST'Unds'Int'Unds'List","sorts":[],"args":[{"tag":"App","name":"Lbl'Unds'List'Unds'","sorts":[],"args":[{"tag":"App","name":"Lbl'Unds'List'Unds'","sorts":[],"args":[{"tag":"App","name":"LblListItem","sorts":[],"args":[{"tag":"App","name":"inj","sorts":[{"tag":"SortApp","name":"SortInt","args":[]},{"tag":"SortApp","name":"SortKItem","args":[]}],"args":[{"tag":"EVar","name":"VarA","sort":{"tag":"SortApp","name":"SortInt","args":[]}}]}]},{"tag":"App","name":"LblListItem","sorts":[],"args":[{"tag":"App","name":"inj","sorts":[{"tag":"SortApp","name":"SortInt","args":[]},{"tag":"SortApp","name":"SortKItem","args":[]}],"args":[{"tag":"EVar","name":"VarB","sort":{"tag":"SortApp","name":"SortInt","args":[]}}]}]}]},{"tag":"EVar","name":"VarL","sort":{"tag":"SortApp","name":"SortList","args":[]}}]}]},{"tag":"DV","sort":{"tag":"SortApp","name":"SortInt","args":[]},"value":"0"}]}}} diff --git a/test/rpc-server/simplify/list-matching/test.k b/test/rpc-server/simplify/list-matching/test.k new file mode 120000 index 0000000000..2c5359cbad --- /dev/null +++ b/test/rpc-server/simplify/list-matching/test.k @@ -0,0 +1 @@ +../../execute/list-matching/test.k \ No newline at end of file