diff --git a/booster/library/Booster/Pattern/ApplyEquations.hs b/booster/library/Booster/Pattern/ApplyEquations.hs index eb8f28bfd9..d0702697ba 100644 --- a/booster/library/Booster/Pattern/ApplyEquations.hs +++ b/booster/library/Booster/Pattern/ApplyEquations.hs @@ -26,6 +26,7 @@ module Booster.Pattern.ApplyEquations ( evaluateConstraints, ) where +import Control.Exception qualified as Exception (throw) import Control.Monad import Control.Monad.Extra (fromMaybeM, whenJust) import Control.Monad.IO.Class (MonadIO (..)) @@ -39,7 +40,7 @@ import Data.ByteString.Char8 qualified as BS import Data.Coerce (coerce) import Data.Data (Data, Proxy) import Data.Foldable (toList, traverse_) -import Data.List (intersperse, partition) +import Data.List (foldl1', intersperse, partition) import Data.List.NonEmpty qualified as NonEmpty import Data.Map (Map) import Data.Map qualified as Map @@ -817,17 +818,45 @@ applyEquation term rule = -- could now be syntactically present in the path constraints, filter again stillUnclear <- lift $ filterOutKnownConstraints knownPredicates unclearConditions - -- abort if any of the conditions is still unclear at that point + mbSolver :: Maybe SMT.SMTContext <- (.smtSolver) <$> lift getConfig + + -- check any conditions that are still unclear with the SMT solver + -- (or abort if no solver is being used), abort if still unclear after unless (null stillUnclear) $ - throwE - ( \ctxt -> - ctxt $ - logMessage $ - renderOneLineText $ - "Uncertain about a condition(s) in rule:" - <+> hsep (intersperse "," $ map (pretty' @mods) unclearConditions) - , IndeterminateCondition unclearConditions - ) + let checkWithSmt :: SMT.SMTContext -> EquationT io (Maybe Bool) + checkWithSmt smt = + SMT.checkPredicates smt knownPredicates mempty (Set.fromList stillUnclear) >>= \case + Left SMT.SMTSolverUnknown{} -> do + pure Nothing + Left other -> + liftIO $ Exception.throw other + Right result -> + pure result + in maybe (pure Nothing) (lift . checkWithSmt) mbSolver >>= \case + Nothing -> do + -- no solver or still unclear: abort + throwE + ( \ctx -> + ctx . logMessage $ + WithJsonMessage (object ["conditions" .= map (externaliseTerm . coerce) stillUnclear]) $ + renderOneLineText + ( "Uncertain about conditions in rule: " <+> hsep (intersperse "," $ map (pretty' @mods) stillUnclear) + ) + , IndeterminateCondition stillUnclear + ) + Just False -> do + -- actually false given path condition: fail + let failedP = Predicate $ foldl1' AndTerm $ map coerce stillUnclear + throwE + ( \ctx -> + ctx . logMessage $ + WithJsonMessage (object ["conditions" .= map (externaliseTerm . coerce) stillUnclear]) $ + renderOneLineText ("Required condition found to be false: " <> pretty' @mods failedP) + , ConditionFalse failedP + ) + Just True -> do + -- can proceed + pure () -- check ensured conditions, filter any -- true ones, prune if any is false @@ -842,6 +871,24 @@ applyEquation term rule = ( checkConstraint $ \p -> (\ctxt -> ctxt $ logMessage ("Ensures clause simplified to #Bottom." :: Text), EnsuresFalse p) ) ensured + -- check all ensured conditions together with the path condition + whenJust mbSolver $ \solver -> do + lift (SMT.checkPredicates solver knownPredicates mempty $ Set.fromList ensuredConditions) >>= \case + Right (Just False) -> do + let falseEnsures = Predicate $ foldl1' AndTerm $ map coerce ensuredConditions + throwE + ( \ctx -> + ctx . logMessage $ + WithJsonMessage (object ["conditions" .= map (externaliseTerm . coerce) ensuredConditions]) $ + renderOneLineText ("Ensured conditions found to be false: " <> pretty' @mods falseEnsures) + , EnsuresFalse falseEnsures + ) + Right _other -> + pure () + Left SMT.SMTSolverUnknown{} -> + pure () + Left other -> + liftIO $ Exception.throw other lift $ pushConstraints $ Set.fromList ensuredConditions pure $ substituteInTerm subst rule.rhs where diff --git a/booster/test/rpc-integration/resources/simplify-smt.k b/booster/test/rpc-integration/resources/simplify-smt.k new file mode 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org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + hooked-symbol LbldirectionalityChar'LParUndsRParUnds'STRING-COMMON'Unds'String'Unds'String{}(SortString{}) : SortString{} [function{}(), hook{}("STRING.directionality"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1868,21,1868,87)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + symbol Lblevaluated{}(SortString{}) : SortThing{} [constructor{}(), functional{}(), injective{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(9,20,9,66)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/jost/work/RV/code/haskell-backend2/booster/test/rpc-integration/resources/simplify-smt.k)"), symbol'Kywd'{}("evaluated")] + hooked-symbol LblfillList'LParUndsCommUndsCommUndsCommUndsRParUnds'LIST'Unds'List'Unds'List'Unds'Int'Unds'Int'Unds'KItem{}(SortList{}, SortInt{}, SortInt{}, SortKItem{}) : SortList{} [function{}(), hook{}("LIST.fill"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1002,19,1002,100)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(SortString{}, SortString{}, SortInt{}) : SortInt{} [function{}(), hook{}("STRING.findChar"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1764,18,1764,116)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(SortString{}, SortString{}, SortInt{}) : SortInt{} [function{}(), hook{}("STRING.find"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1753,18,1753,111)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + symbol LblfreshInt'LParUndsRParUnds'INT'Unds'Int'Unds'Int{}(SortInt{}) : SortInt{} [freshGenerator{}(), function{}(), functional{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1441,18,1441,77)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + symbol LblgetGeneratedCounterCell{}(SortGeneratedTopCell{}) : SortGeneratedCounterCell{} [function{}()] + symbol LblinitGeneratedCounterCell{}() : SortGeneratedCounterCell{} [function{}(), functional{}(), total{}()] + symbol LblinitGeneratedTopCell{}(SortMap{}) : SortGeneratedTopCell{} [function{}()] + symbol LblinitKCell{}(SortMap{}) : SortKCell{} [function{}()] + hooked-symbol LblintersectSet'LParUndsCommUndsRParUnds'SET'Unds'Set'Unds'Set'Unds'Set{}(SortSet{}, SortSet{}) : SortSet{} [function{}(), functional{}(), hook{}("SET.intersection"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(759,18,759,90)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + symbol LblisBool{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisFloat{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisGeneratedCounterCell{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisGeneratedCounterCellOpt{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisGeneratedTopCell{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisGeneratedTopCellFragment{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisInt{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisK{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisKCell{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisKCellOpt{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisKConfigVar{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisKItem{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisList{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisMap{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisSet{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisString{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + symbol LblisThing{}(SortK{}) : SortBool{} [function{}(), functional{}(), total{}()] + hooked-symbol Lblite{SortSort}(SortBool{}, SortSort, SortSort) : SortSort [function{}(), functional{}(), hook{}("KEQUAL.ite"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2291,26,2291,132)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), smt-hook{}("ite"), symbol'Kywd'{}("ite"), total{}()] + hooked-symbol Lblkeys'LParUndsRParUnds'MAP'Unds'Set'Unds'Map{}(SortMap{}) : SortSet{} [function{}(), functional{}(), hook{}("MAP.keys"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(341,18,341,82)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + hooked-symbol Lblkeys'Unds'list'LParUndsRParUnds'MAP'Unds'List'Unds'Map{}(SortMap{}) : SortList{} [function{}(), hook{}("MAP.keys_list"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(349,19,349,80)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(SortString{}) : SortInt{} [function{}(), functional{}(), hook{}("STRING.length"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1718,18,1718,80)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + hooked-symbol Lbllog2Int'LParUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int{}(SortInt{}) : SortInt{} [function{}(), hook{}("INT.log2"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1289,18,1289,75)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblmakeList'LParUndsCommUndsRParUnds'LIST'Unds'List'Unds'Int'Unds'KItem{}(SortInt{}, SortKItem{}) : SortList{} [function{}(), hook{}("LIST.make"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(983,19,983,82)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblmaxInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(SortInt{}, SortInt{}) : SortInt{} [function{}(), functional{}(), hook{}("INT.max"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1270,18,1270,114)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), smt-hook{}("(ite (< #1 #2) #2 #1)"), total{}()] + hooked-symbol LblminInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(SortInt{}, SortInt{}) : SortInt{} [function{}(), functional{}(), hook{}("INT.min"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1269,18,1269,114)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), smt-hook{}("(ite (< #1 #2) #1 #2)"), total{}()] + hooked-symbol LblnewUUID'Unds'STRING-COMMON'Unds'String{}() : SortString{} [function{}(), hook{}("STRING.uuid"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1870,21,1870,68)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + symbol LblnoGeneratedCounterCell{}() : SortGeneratedCounterCellOpt{} [constructor{}(), functional{}(), injective{}()] + symbol LblnoKCell{}() : SortKCellOpt{} [constructor{}(), functional{}(), injective{}()] + hooked-symbol LblnotBool'Unds'{}(SortBool{}) : SortBool{} [function{}(), functional{}(), hook{}("BOOL.not"), klabel{}("notBool_"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1109,19,1109,139)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), smt-hook{}("not"), symbol'Kywd'{}(""), total{}()] + hooked-symbol LblordChar'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(SortString{}) : SortInt{} [function{}(), hook{}("STRING.ord"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1728,18,1728,70)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + symbol Lblproject'Coln'Bool{}(SortK{}) : SortBool{} [function{}()] + symbol Lblproject'Coln'Float{}(SortK{}) : SortFloat{} [function{}()] + symbol Lblproject'Coln'GeneratedCounterCell{}(SortK{}) : SortGeneratedCounterCell{} [function{}()] + symbol Lblproject'Coln'GeneratedCounterCellOpt{}(SortK{}) : SortGeneratedCounterCellOpt{} [function{}()] + symbol Lblproject'Coln'GeneratedTopCell{}(SortK{}) : SortGeneratedTopCell{} [function{}()] + symbol Lblproject'Coln'GeneratedTopCellFragment{}(SortK{}) : SortGeneratedTopCellFragment{} [function{}()] + symbol Lblproject'Coln'Int{}(SortK{}) : SortInt{} [function{}()] + symbol Lblproject'Coln'K{}(SortK{}) : SortK{} [function{}()] + symbol Lblproject'Coln'KCell{}(SortK{}) : SortKCell{} [function{}()] + symbol Lblproject'Coln'KCellOpt{}(SortK{}) : SortKCellOpt{} [function{}()] + symbol Lblproject'Coln'KItem{}(SortK{}) : SortKItem{} [function{}()] + symbol Lblproject'Coln'List{}(SortK{}) : SortList{} [function{}()] + symbol Lblproject'Coln'Map{}(SortK{}) : SortMap{} [function{}()] + symbol Lblproject'Coln'Set{}(SortK{}) : SortSet{} [function{}()] + symbol Lblproject'Coln'String{}(SortK{}) : SortString{} [function{}()] + symbol Lblproject'Coln'Thing{}(SortK{}) : SortThing{} [function{}()] + hooked-symbol LblpushList{}(SortKItem{}, SortList{}) : SortList{} [function{}(), functional{}(), hook{}("LIST.push"), klabel{}("pushList"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(953,19,953,107)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), symbol'Kywd'{}(""), total{}()] + hooked-symbol LblrandInt'LParUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int{}(SortInt{}) : SortInt{} [function{}(), hook{}("INT.rand"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1337,18,1337,65)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblremoveAll'LParUndsCommUndsRParUnds'MAP'Unds'Map'Unds'Map'Unds'Set{}(SortMap{}, SortSet{}) : SortMap{} [function{}(), functional{}(), hook{}("MAP.removeAll"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(333,18,333,87)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + hooked-symbol Lblreplace'LParUndsCommUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String'Unds'Int{}(SortString{}, SortString{}, SortString{}, SortInt{}) : SortString{} [function{}(), hook{}("STRING.replace"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1838,21,1838,146)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblreplaceAll'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String{}(SortString{}, SortString{}, SortString{}) : SortString{} [function{}(), functional{}(), hook{}("STRING.replaceAll"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1837,21,1837,149)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + hooked-symbol LblreplaceFirst'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String{}(SortString{}, SortString{}, SortString{}) : SortString{} [function{}(), functional{}(), hook{}("STRING.replaceFirst"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1839,21,1839,151)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + hooked-symbol LblrfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(SortString{}, SortString{}, SortInt{}) : SortInt{} [function{}(), hook{}("STRING.rfindChar"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1765,18,1765,117)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblrfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(SortString{}, SortString{}, SortInt{}) : SortInt{} [function{}(), hook{}("STRING.rfind"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1754,18,1754,112)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblsignExtendBitRangeInt'LParUndsCommUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int'Unds'Int{}(SortInt{}, SortInt{}, SortInt{}) : SortInt{} [function{}(), hook{}("INT.signExtendBitRange"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1304,18,1304,113)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol Lblsize'LParUndsRParUnds'LIST'Unds'Int'Unds'List{}(SortList{}) : SortInt{} [function{}(), functional{}(), hook{}("LIST.size"), klabel{}("sizeList"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1029,18,1029,117)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), smtlib{}("smt_seq_len"), total{}()] + hooked-symbol Lblsize'LParUndsRParUnds'MAP'Unds'Int'Unds'Map{}(SortMap{}) : SortInt{} [function{}(), functional{}(), hook{}("MAP.size"), klabel{}("sizeMap"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(373,18,373,99)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + hooked-symbol Lblsize'LParUndsRParUnds'SET'Unds'Int'Unds'Set{}(SortSet{}) : SortInt{} [function{}(), functional{}(), hook{}("SET.size"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(794,18,794,76)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + hooked-symbol LblsrandInt'LParUndsRParUnds'INT-COMMON'Unds'K'Unds'Int{}(SortInt{}) : SortK{} [function{}(), hook{}("INT.srand"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1338,16,1338,65)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(SortString{}, SortInt{}, SortInt{}) : SortString{} [function{}(), functional{}(), hook{}("STRING.substr"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1743,21,1743,117)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + symbol Lblunevaluated{}(SortInt{}, SortInt{}) : SortThing{} [function{}(), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(8,20,8,78)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/jost/work/RV/code/haskell-backend2/booster/test/rpc-integration/resources/simplify-smt.k)"), symbol'Kywd'{}("unevaluated")] + hooked-symbol LblupdateList'LParUndsCommUndsCommUndsRParUnds'LIST'Unds'List'Unds'List'Unds'Int'Unds'List{}(SortList{}, SortInt{}, SortList{}) : SortList{} [function{}(), hook{}("LIST.updateAll"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(993,19,993,97)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol LblupdateMap'LParUndsCommUndsRParUnds'MAP'Unds'Map'Unds'Map'Unds'Map{}(SortMap{}, SortMap{}) : SortMap{} [function{}(), functional{}(), hook{}("MAP.updateAll"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(324,18,324,87)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), total{}()] + hooked-symbol Lblvalues'LParUndsRParUnds'MAP'Unds'List'Unds'Map{}(SortMap{}) : SortList{} [function{}(), hook{}("MAP.values"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(365,19,365,77)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + hooked-symbol Lbl'Tild'Int'Unds'{}(SortInt{}) : SortInt{} [function{}(), functional{}(), hook{}("INT.not"), klabel{}("~Int_"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1237,18,1237,120)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), smtlib{}("notInt"), symbol'Kywd'{}(""), 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: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{SortMap{}, SortKItem{}} (From:SortMap{}))) [subsort{SortMap{}, SortKItem{}}()] // 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: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{SortThing{}, SortKItem{}} (From:SortThing{}))) [subsort{SortThing{}, 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: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{SortGeneratedTopCell{}, SortKItem{}} (From:SortGeneratedTopCell{}))) [subsort{SortGeneratedTopCell{}, 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{SortBool{}, SortKItem{}} (From:SortBool{}))) [subsort{SortBool{}, 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{SortFloat{}, SortKItem{}} (From:SortFloat{}))) [subsort{SortFloat{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortString{}, SortKItem{}} (From:SortString{}))) [subsort{SortString{}, 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{SortInt{}, SortKItem{}} (From:SortInt{}))) [subsort{SortInt{}, SortKItem{}}()] // subsort + axiom{R} \exists{R} (Val:SortKItem{}, \equals{SortKItem{}, R} (Val:SortKItem{}, inj{SortKConfigVar{}, SortKItem{}} (From:SortKConfigVar{}))) [subsort{SortKConfigVar{}, SortKItem{}}()] // subsort + 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:SortString{}, \equals{SortString{}, R} (Val:SortString{}, LblBool2String'LParUndsRParUnds'STRING-COMMON'Unds'String'Unds'Bool{}(K0:SortBool{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortString{}, \equals{SortString{}, R} (Val:SortString{}, LblFloat2String'LParUndsRParUnds'STRING-COMMON'Unds'String'Unds'Float{}(K0:SortFloat{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortString{}, \equals{SortString{}, R} (Val:SortString{}, LblInt2String'LParUndsRParUnds'STRING-COMMON'Unds'String'Unds'Int{}(K0:SortInt{}))) [functional{}()] // functional + 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:SortString{}, \equals{SortString{}, R} (Val:SortString{}, Lbl'UndsPlus'String'UndsUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}))) [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-Eqls'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}))) [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'Unds-LT-'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}))) [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'UndsEqlsSlshEqls'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}))) [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'UndsEqlsEqls'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}))) [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-Eqls'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}))) [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} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, Lbl'Unds-GT-'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}))) [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:SortInt{}, \equals{SortInt{}, R} (Val:SortInt{}, LblcountAllOccurrences'LParUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortThing{}, \equals{SortThing{}, R} (Val:SortThing{}, Lblevaluated{}(K0:SortString{}))) [functional{}()] // functional + axiom{}\implies{SortThing{}} (\and{SortThing{}} (Lblevaluated{}(X0:SortString{}), Lblevaluated{}(Y0:SortString{})), Lblevaluated{}(\and{SortString{}} (X0:SortString{}, Y0:SortString{}))) [constructor{}()] // no confusion same constructor + 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:SortGeneratedCounterCell{}, \equals{SortGeneratedCounterCell{}, R} (Val:SortGeneratedCounterCell{}, LblinitGeneratedCounterCell{}())) [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{}, LblisFloat{}(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{}, LblisSet{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisString{}(K0:SortK{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortBool{}, \equals{SortBool{}, R} (Val:SortBool{}, LblisThing{}(K0:SortK{}))) [functional{}()] // functional + axiom{R, SortSort} \exists{R} (Val:SortSort, \equals{SortSort, R} (Val:SortSort, Lblite{SortSort}(K0:SortBool{}, K1:SortSort, K2:SortSort))) [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{}, LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(K0:SortString{}))) [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:SortList{}, \equals{SortList{}, R} (Val:SortList{}, LblpushList{}(K0:SortKItem{}, K1:SortList{}))) [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:SortString{}, \equals{SortString{}, R} (Val:SortString{}, LblreplaceAll'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}, K2:SortString{}))) [functional{}()] // functional + axiom{R} \exists{R} (Val:SortString{}, \equals{SortString{}, R} (Val:SortString{}, LblreplaceFirst'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String{}(K0:SortString{}, K1:SortString{}, K2:SortString{}))) [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:SortString{}, \equals{SortString{}, R} (Val:SortString{}, LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(K0:SortString{}, K1:SortInt{}, K2:SortInt{}))) [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{SortBool{}} (\top{SortBool{}}(), \bottom{SortBool{}}()) [constructor{}()] // no junk (TODO: fix bug with \dv) + axiom{} \or{SortFloat{}} (\top{SortFloat{}}(), \bottom{SortFloat{}}()) [constructor{}()] // no junk (TODO: fix bug with \dv) + axiom{} \or{SortGeneratedCounterCell{}} (\exists{SortGeneratedCounterCell{}} (X0:SortInt{}, Lbl'-LT-'generatedCounter'-GT-'{}(X0:SortInt{})), \bottom{SortGeneratedCounterCell{}}()) [constructor{}()] // no junk + axiom{} \or{SortGeneratedCounterCellOpt{}} (LblnoGeneratedCounterCell{}(), \exists{SortGeneratedCounterCellOpt{}} (Val:SortGeneratedCounterCell{}, inj{SortGeneratedCounterCell{}, SortGeneratedCounterCellOpt{}} (Val:SortGeneratedCounterCell{})), \bottom{SortGeneratedCounterCellOpt{}}()) [constructor{}()] // no junk + 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{SortGeneratedTopCellFragment{}} (\exists{SortGeneratedTopCellFragment{}} (X0:SortKCellOpt{}, \exists{SortGeneratedTopCellFragment{}} (X1:SortGeneratedCounterCellOpt{}, Lbl'-LT-'generatedTop'-GT-'-fragment{}(X0:SortKCellOpt{}, X1:SortGeneratedCounterCellOpt{}))), \bottom{SortGeneratedTopCellFragment{}}()) [constructor{}()] // no junk + axiom{} \or{SortInt{}} (\top{SortInt{}}(), \bottom{SortInt{}}()) [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{SortKConfigVar{}} (\top{SortKConfigVar{}}(), \bottom{SortKConfigVar{}}()) [constructor{}()] // no junk (TODO: fix bug with \dv) + axiom{} \or{SortKItem{}} (\exists{SortKItem{}} (Val:SortBool{}, inj{SortBool{}, SortKItem{}} (Val:SortBool{})), \exists{SortKItem{}} (Val:SortFloat{}, inj{SortFloat{}, SortKItem{}} (Val:SortFloat{})), \exists{SortKItem{}} (Val:SortGeneratedCounterCell{}, inj{SortGeneratedCounterCell{}, SortKItem{}} (Val:SortGeneratedCounterCell{})), \exists{SortKItem{}} (Val:SortGeneratedCounterCellOpt{}, inj{SortGeneratedCounterCellOpt{}, SortKItem{}} (Val:SortGeneratedCounterCellOpt{})), \exists{SortKItem{}} (Val:SortGeneratedTopCell{}, inj{SortGeneratedTopCell{}, SortKItem{}} (Val:SortGeneratedTopCell{})), \exists{SortKItem{}} (Val:SortGeneratedTopCellFragment{}, inj{SortGeneratedTopCellFragment{}, SortKItem{}} (Val:SortGeneratedTopCellFragment{})), \exists{SortKItem{}} (Val:SortInt{}, inj{SortInt{}, SortKItem{}} (Val:SortInt{})), \exists{SortKItem{}} (Val:SortKCell{}, inj{SortKCell{}, SortKItem{}} (Val:SortKCell{})), \exists{SortKItem{}} (Val:SortKCellOpt{}, inj{SortKCellOpt{}, SortKItem{}} (Val:SortKCellOpt{})), \exists{SortKItem{}} (Val:SortKConfigVar{}, inj{SortKConfigVar{}, SortKItem{}} (Val:SortKConfigVar{})), \exists{SortKItem{}} (Val:SortList{}, inj{SortList{}, SortKItem{}} (Val:SortList{})), \exists{SortKItem{}} (Val:SortMap{}, inj{SortMap{}, SortKItem{}} (Val:SortMap{})), \exists{SortKItem{}} (Val:SortSet{}, inj{SortSet{}, SortKItem{}} (Val:SortSet{})), \exists{SortKItem{}} (Val:SortString{}, inj{SortString{}, SortKItem{}} (Val:SortString{})), \exists{SortKItem{}} (Val:SortThing{}, inj{SortThing{}, SortKItem{}} (Val:SortThing{})), \bottom{SortKItem{}}()) [constructor{}()] // no junk + axiom{} \or{SortString{}} (\top{SortString{}}(), \bottom{SortString{}}()) [constructor{}()] // no junk (TODO: fix bug with \dv) + axiom{} \or{SortThing{}} (\exists{SortThing{}} (X0:SortString{}, Lblevaluated{}(X0:SortString{})), \bottom{SortThing{}}()) [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(1378,8,1378,102)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1378,8,1378,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1377,8,1377,102)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1377,8,1377,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1381,8,1381,102)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1381,8,1381,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1380,8,1380,102)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1380,8,1380,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1379,8,1379,102)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1379,8,1379,102)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1396,8,1396,55)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1396,8,1396,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1394,8,1394,60)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1394,8,1394,60)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2306,8,2306,53)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2306,8,2306,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2304,8,2304,58)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2304,8,2304,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1392,8,1392,60)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1392,8,1392,60)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1390,8,1390,53)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1390,8,1390,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2302,8,2302,58)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2302,8,2302,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2300,8,2300,51)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2300,8,2300,51)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1171,8,1171,84)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1171,8,1171,84)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1173,8,1173,86)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1173,8,1173,86)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1168,8,1168,55)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1168,8,1168,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1166,8,1166,55)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1166,8,1166,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1397,8,1397,55)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1397,8,1397,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2307,8,2307,53)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2307,8,2307,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1393,8,1393,60)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1393,8,1393,60)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2303,8,2303,58)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2303,8,2303,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1172,8,1172,86)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1172,8,1172,86)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1167,8,1167,55)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1167,8,1167,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1395,8,1395,60)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1395,8,1395,60)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2305,8,2305,58)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2305,8,2305,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1391,8,1391,53)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1391,8,1391,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2301,8,2301,51)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2301,8,2301,51)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1170,8,1170,84)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1170,8,1170,84)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1165,8,1165,55)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1165,8,1165,55)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `Bool2String(_)_STRING-COMMON_String_Bool`(#token("false","Bool"))=>#token("\"false\"","String") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(cca4780e4e7660055f781b9643f3125234a0f4f08ba76cacf8e5a18fe7fc999f), org.kframework.attributes.Location(Location(1773,8,1773,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortString{},R} ( + LblBool2String'LParUndsRParUnds'STRING-COMMON'Unds'String'Unds'Bool{}(X0:SortBool{}), + \and{SortString{}} ( + \dv{SortString{}}("false"), + \top{SortString{}}()))) + [UNIQUE'Unds'ID{}("cca4780e4e7660055f781b9643f3125234a0f4f08ba76cacf8e5a18fe7fc999f"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1773,8,1773,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `Bool2String(_)_STRING-COMMON_String_Bool`(#token("true","Bool"))=>#token("\"true\"","String") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(365df37345a5a44ac061f8741369c7bd74a49f0f6e7b716be0374806dd1add3d), org.kframework.attributes.Location(Location(1772,8,1772,36)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortString{},R} ( + LblBool2String'LParUndsRParUnds'STRING-COMMON'Unds'String'Unds'Bool{}(X0:SortBool{}), + \and{SortString{}} ( + \dv{SortString{}}("true"), + \top{SortString{}}()))) + [UNIQUE'Unds'ID{}("365df37345a5a44ac061f8741369c7bd74a49f0f6e7b716be0374806dd1add3d"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1772,8,1772,36)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `String2Bool(_)_STRING-COMMON_Bool_String`(#token("\"false\"","String"))=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(b73b5c8e0ae45020f2b9b8170d366691fee01a63763b79653a2075703ec4e835), org.kframework.attributes.Location(Location(1779,8,1779,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortString{}, R} ( + X0:SortString{}, + \dv{SortString{}}("false") + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblString2Bool'LParUndsRParUnds'STRING-COMMON'Unds'Bool'Unds'String{}(X0:SortString{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("b73b5c8e0ae45020f2b9b8170d366691fee01a63763b79653a2075703ec4e835"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1779,8,1779,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `String2Bool(_)_STRING-COMMON_Bool_String`(#token("\"true\"","String"))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(27a5d1d7872d61f82556a4e44bda13846dde7dc2d9c54304d7858de9a8b9d6b8), org.kframework.attributes.Location(Location(1778,8,1778,36)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortString{}, R} ( + X0:SortString{}, + \dv{SortString{}}("true") + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblString2Bool'LParUndsRParUnds'STRING-COMMON'Unds'Bool'Unds'String{}(X0:SortString{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("27a5d1d7872d61f82556a4e44bda13846dde7dc2d9c54304d7858de9a8b9d6b8"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1778,8,1778,36)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// 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(1413,8,1413,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1413,8,1413,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1400,8,1400,28)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1400,8,1400,28)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1358,8,1358,21)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1358,8,1358,21)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1404,8,1404,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1404,8,1404,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1406,8,1406,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1406,8,1406,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1407,8,1407,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1407,8,1407,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1403,8,1403,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1403,8,1403,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1408,8,1408,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1408,8,1408,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1401,8,1401,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1401,8,1401,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1359,8,1359,21)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1359,8,1359,21)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1405,8,1405,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1405,8,1405,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1409,8,1409,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1409,8,1409,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1410,8,1410,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1410,8,1410,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1411,8,1411,50)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1411,8,1411,50)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1365,8,1365,22)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1365,8,1365,22)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1366,8,1366,22)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1366,8,1366,22)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_<=String__STRING-COMMON_Bool_String_String`(S1,S2)=>`notBool_`(`_`notBool_`(`_==Bool_`(B1,B2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(31fe72efcfddcd8588a11d9d10c1b1a9f96ae3da46b647d4cb9d1e8b1bd1654f), org.kframework.attributes.Location(Location(1159,8,1159,57)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1159,8,1159,57)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1438,8,1438,53)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1438,8,1438,53)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2316,8,2316,45)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2316,8,2316,45)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `_=/=String__STRING-COMMON_Bool_String_String`(S1,S2)=>`notBool_`(`_==String__STRING-COMMON_Bool_String_String`(S1,S2)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(f390a9b650f3de0e3a93773a46e65aae3decdeb2a10906058f204f031681c9b7), org.kframework.attributes.Location(Location(1852,8,1852,65)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortString{}, R} ( + X0:SortString{}, + VarS1:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + VarS2:SortString{} + ), + \top{R} () + ))), + \equals{SortBool{},R} ( + Lbl'UndsEqlsSlshEqls'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(X0:SortString{},X1:SortString{}), + \and{SortBool{}} ( + LblnotBool'Unds'{}(Lbl'UndsEqlsEqls'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(VarS1:SortString{},VarS2:SortString{})), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("f390a9b650f3de0e3a93773a46e65aae3decdeb2a10906058f204f031681c9b7"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1852,8,1852,65)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// 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(2299,8,2299,43)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(2299,8,2299,43)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// 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(1389,8,1389,40)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1389,8,1389,40)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_==K_`(inj{String,KItem}(S1),inj{String,KItem}(S2))=>`_==String__STRING-COMMON_Bool_String_String`(S1,S2) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(b977e4810b4c1856ab1781a94a6f2c7903b4c3f5a0ceae584e59aea51958051c), org.kframework.attributes.Location(Location(1910,8,1910,49)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortString{}, SortKItem{}}(VarS1:SortString{}),dotk{}()),kseq{}(inj{SortString{}, SortKItem{}}(VarS2:SortString{}),dotk{}())), + \and{SortBool{}} ( + Lbl'UndsEqlsEqls'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(VarS1:SortString{},VarS2:SortString{}), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("b977e4810b4c1856ab1781a94a6f2c7903b4c3f5a0ceae584e59aea51958051c"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1910,8,1910,49)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_>=String__STRING-COMMON_Bool_String_String`(S1,S2)=>`notBool_`(`_>Int_`(X,#token("0","Int"))=>X requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(afa10f58a41b4395b68f473579a1833eb2b310b16fa4bc45f363dd269b7f6088), org.kframework.attributes.Location(Location(1367,8,1367,22)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1367,8,1367,22)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1368,8,1368,22)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1368,8,1368,22)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), simplification{}("")] + +// rule `_>String__STRING-COMMON_Bool_String_String`(S1,S2)=>`__Gen1 requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(61fbef33b3611f1cc2aaf3b5e8ddec4a0f434c557278c38461c65c8722743497), org.kframework.attributes.Location(Location(1132,8,1132,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1132,8,1132,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1131,8,1131,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1131,8,1131,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1133,8,1133,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1133,8,1133,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1130,8,1130,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1130,8,1130,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1137,8,1137,36)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1137,8,1137,36)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1136,8,1136,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1136,8,1136,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1138,8,1138,36)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1138,8,1138,36)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1135,8,1135,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1135,8,1135,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1427,8,1428,23)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1427,8,1428,23)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1439,8,1439,58)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1439,8,1439,58)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1157,8,1157,45)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1157,8,1157,45)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1156,8,1156,39)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1156,8,1156,39)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1155,8,1155,40)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1155,8,1155,40)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1154,8,1154,36)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1154,8,1154,36)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1430,5,1433,23)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1430,5,1433,23)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1147,8,1147,32)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1147,8,1147,32)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1145,8,1145,34)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1145,8,1145,34)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1146,8,1146,32)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1146,8,1146,32)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1144,8,1144,34)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1144,8,1144,34)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1152,8,1152,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1152,8,1152,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1150,8,1150,33)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1150,8,1150,33)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1151,8,1151,37)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1151,8,1151,37)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1149,8,1149,33)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1149,8,1149,33)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1142,8,1142,38)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1142,8,1142,38)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1141,8,1141,38)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1141,8,1141,38)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1140,8,1140,38)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1140,8,1140,38)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `bitRangeInt(_,_,_)_INT-COMMON_Int_Int_Int_Int`(I,IDX,LEN)=>`_modInt_`(`_>>Int_`(I,IDX),`_<`_+Int_`(#token("1","Int"),`countAllOccurrences(_,_)_STRING-COMMON_Int_String_String`(`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(Source,`_+Int_`(`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(Source,ToCount,#token("0","Int")),`lengthString(_)_STRING-COMMON_Int_String`(ToCount)),`lengthString(_)_STRING-COMMON_Int_String`(Source)),ToCount)) requires `_>=Int_`(`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(Source,ToCount,#token("0","Int")),#token("0","Int")) ensures #token("true","Bool") [UNIQUE_ID(628cff029a6d79e4c99999c0309f91ab8cb12f0ba549bb3faa850f96304c970e), org.kframework.attributes.Location(Location(1883,8,1884,60)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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'{}(LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarSource:SortString{},VarToCount:SortString{},\dv{SortInt{}}("0")),\dv{SortInt{}}("0")), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortString{}, R} ( + X0:SortString{}, + VarSource:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + VarToCount:SortString{} + ), + \top{R} () + ))), + \equals{SortInt{},R} ( + LblcountAllOccurrences'LParUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String{}(X0:SortString{},X1:SortString{}), + \and{SortInt{}} ( + Lbl'UndsPlus'Int'Unds'{}(\dv{SortInt{}}("1"),LblcountAllOccurrences'LParUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String{}(LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarSource:SortString{},Lbl'UndsPlus'Int'Unds'{}(LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarSource:SortString{},VarToCount:SortString{},\dv{SortInt{}}("0")),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarToCount:SortString{})),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarSource:SortString{})),VarToCount:SortString{})), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("628cff029a6d79e4c99999c0309f91ab8cb12f0ba549bb3faa850f96304c970e"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1883,8,1884,60)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `countAllOccurrences(_,_)_STRING-COMMON_Int_String_String`(Source,ToCount)=>#token("0","Int") requires `_ite{Int}(`_==Int_`(`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(S1,`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(S2,#token("0","Int"),#token("1","Int")),I),#token("-1","Int")),`findChar(_,_,_)_STRING-COMMON_Int_String_String_Int`(S1,`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(S2,#token("1","Int"),`lengthString(_)_STRING-COMMON_Int_String`(S2)),I),ite{Int}(`_==Int_`(`findChar(_,_,_)_STRING-COMMON_Int_String_String_Int`(S1,`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(S2,#token("1","Int"),`lengthString(_)_STRING-COMMON_Int_String`(S2)),I),#token("-1","Int")),`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(S1,`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(S2,#token("0","Int"),#token("1","Int")),I),`minInt(_,_)_INT-COMMON_Int_Int_Int`(`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(S1,`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(S2,#token("0","Int"),#token("1","Int")),I),`findChar(_,_,_)_STRING-COMMON_Int_String_String_Int`(S1,`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(S2,#token("1","Int"),`lengthString(_)_STRING-COMMON_Int_String`(S2)),I)))) requires `_=/=String__STRING-COMMON_Bool_String_String`(S2,#token("\"\"","String")) ensures #token("true","Bool") [UNIQUE_ID(5b5d41706ad496a8165f1ea9c2109ce502796cbe90047732b173b3ad015058e3), org.kframework.attributes.Location(Location(1876,8,1876,431)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(VarS2:SortString{},\dv{SortString{}}("")), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortString{}, R} ( + X0:SortString{}, + VarS1:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + VarS2:SortString{} + ),\and{R} ( + \in{SortInt{}, R} ( + X2:SortInt{}, + VarI:SortInt{} + ), + \top{R} () + )))), + \equals{SortInt{},R} ( + LblfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(X0:SortString{},X1:SortString{},X2:SortInt{}), + \and{SortInt{}} ( + Lblite{SortInt{}}(Lbl'UndsEqlsEqls'Int'Unds'{}(LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarS1:SortString{},LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarS2:SortString{},\dv{SortInt{}}("0"),\dv{SortInt{}}("1")),VarI:SortInt{}),\dv{SortInt{}}("-1")),LblfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarS1:SortString{},LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarS2:SortString{},\dv{SortInt{}}("1"),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarS2:SortString{})),VarI:SortInt{}),Lblite{SortInt{}}(Lbl'UndsEqlsEqls'Int'Unds'{}(LblfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarS1:SortString{},LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarS2:SortString{},\dv{SortInt{}}("1"),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarS2:SortString{})),VarI:SortInt{}),\dv{SortInt{}}("-1")),LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarS1:SortString{},LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarS2:SortString{},\dv{SortInt{}}("0"),\dv{SortInt{}}("1")),VarI:SortInt{}),LblminInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarS1:SortString{},LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarS2:SortString{},\dv{SortInt{}}("0"),\dv{SortInt{}}("1")),VarI:SortInt{}),LblfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarS1:SortString{},LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarS2:SortString{},\dv{SortInt{}}("1"),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarS2:SortString{})),VarI:SortInt{})))), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("5b5d41706ad496a8165f1ea9c2109ce502796cbe90047732b173b3ad015058e3"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1876,8,1876,431)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `findChar(_,_,_)_STRING-COMMON_Int_String_String_Int`(_Gen0,#token("\"\"","String"),_Gen1)=>#token("-1","Int") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(5a6cf981f0ec2494854cd3e517b0cf645a1c9762c92a14849adfca9a6a553117), org.kframework.attributes.Location(Location(1877,8,1877,32)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortString{}, R} ( + X0:SortString{}, + Var'Unds'Gen0:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + \dv{SortString{}}("") + ),\and{R} ( + \in{SortInt{}, R} ( + X2:SortInt{}, + Var'Unds'Gen1:SortInt{} + ), + \top{R} () + )))), + \equals{SortInt{},R} ( + LblfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(X0:SortString{},X1:SortString{},X2:SortInt{}), + \and{SortInt{}} ( + \dv{SortInt{}}("-1"), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("5a6cf981f0ec2494854cd3e517b0cf645a1c9762c92a14849adfca9a6a553117"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1877,8,1877,32)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `freshInt(_)_INT_Int_Int`(I)=>I requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(cf2cb8f038b4bdc4edb1334a3b8ced9cd296a7af43f0a1916e082a4e1aefa08b), org.kframework.attributes.Location(Location(1442,8,1442,28)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1442,8,1442,28)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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)=>``(`project:KItem`(`Map:lookup`(Init,inj{KConfigVar,KItem}(#token("$PGM","KConfigVar"))))) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(888ac40929773fd17d5b9fd1e9d0be94791665a663f07907d894c31dccc871a5), initializer] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortMap{}, R} ( + X0:SortMap{}, + VarInit:SortMap{} + ), + \top{R} () + )), + \equals{SortKCell{},R} ( + LblinitKCell{}(X0:SortMap{}), + \and{SortKCell{}} ( + Lbl'-LT-'k'-GT-'{}(kseq{}(Lblproject'Coln'KItem{}(kseq{}(LblMap'Coln'lookup{}(VarInit:SortMap{},inj{SortKConfigVar{}, SortKItem{}}(\dv{SortKConfigVar{}}("$PGM"))),dotk{}())),dotk{}())), + \top{SortKCell{}}()))) + [UNIQUE'Unds'ID{}("888ac40929773fd17d5b9fd1e9d0be94791665a663f07907d894c31dccc871a5")] + +// 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 isFloat(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(613283edb3d0af0dfe3d5c3626073b1904f0e254fc0797cd7a4f620cfeb7de62), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen0:SortFloat{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortFloat{}, SortKItem{}}(Var'Unds'Gen0:SortFloat{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisFloat{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("613283edb3d0af0dfe3d5c3626073b1904f0e254fc0797cd7a4f620cfeb7de62"), owise{}()] + +// rule isFloat(inj{Float,KItem}(Float))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(d74a36c34f45e0bf74d89fdd362f124478ab18934b5786ff4aabfe527643c5f0)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortFloat{}, SortKItem{}}(VarFloat:SortFloat{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisFloat{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("d74a36c34f45e0bf74d89fdd362f124478ab18934b5786ff4aabfe527643c5f0")] + +// 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'Gen1:SortGeneratedCounterCell{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedCounterCell{}, SortKItem{}}(Var'Unds'Gen1: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'Gen0:SortGeneratedCounterCellOpt{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortGeneratedCounterCellOpt{}, SortKItem{}}(Var'Unds'Gen0: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'Gen0:SortInt{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortInt{}, SortKItem{}}(Var'Unds'Gen0: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'Gen0:SortKConfigVar{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortKConfigVar{}, SortKItem{}}(Var'Unds'Gen0: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 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'Gen0:SortSet{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortSet{}, SortKItem{}}(Var'Unds'Gen0: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 isString(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(fbe29b27977283e8cb5b35f1b17a6b7b2abc92a7fca608d496b346f7b6918961), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen0:SortString{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortString{}, SortKItem{}}(Var'Unds'Gen0:SortString{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisString{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("fbe29b27977283e8cb5b35f1b17a6b7b2abc92a7fca608d496b346f7b6918961"), owise{}()] + +// rule isString(inj{String,KItem}(String))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(109ced650ead4a5092ddba090e1b8e181633ed0aa5c5f93bce9f88be215668ef)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortString{}, SortKItem{}}(VarString:SortString{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisString{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("109ced650ead4a5092ddba090e1b8e181633ed0aa5c5f93bce9f88be215668ef")] + +// rule isThing(K)=>#token("false","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(48854dd065922c9d84a7e1f6e9257971be1b0f9a2388319d59a51dd36e370760), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen1:SortThing{}, + \and{R} ( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortThing{}, SortKItem{}}(Var'Unds'Gen1:SortThing{}),dotk{}()) + ), + \top{R} () + ) + )), + \bottom{R}() + ) + ), + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + VarK:SortK{} + ), + \top{R} () + ) + )), + \equals{SortBool{},R} ( + LblisThing{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("false"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("48854dd065922c9d84a7e1f6e9257971be1b0f9a2388319d59a51dd36e370760"), owise{}()] + +// rule isThing(inj{Thing,KItem}(Thing))=>#token("true","Bool") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(c0be40f2e50bda8f65eaf5043b0426f85c90c166a4e23bfe29cc0a386fa6fc31)] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortThing{}, SortKItem{}}(VarThing:SortThing{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortBool{},R} ( + LblisThing{}(X0:SortK{}), + \and{SortBool{}} ( + \dv{SortBool{}}("true"), + \top{SortBool{}}()))) + [UNIQUE'Unds'ID{}("c0be40f2e50bda8f65eaf5043b0426f85c90c166a4e23bfe29cc0a386fa6fc31")] + +// rule ite{K}(C,B1,_Gen0)=>B1 requires C ensures #token("true","Bool") [UNIQUE_ID(1ff8f4d71e4c13084eed473b08740da83c4cc7f1875d340d86dc72124c48b4a0), org.kframework.attributes.Location(Location(2318,8,2318,59)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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} ( + Lblite{SortK{}}(X0:SortBool{},X1:SortK{},X2:SortK{}), + \and{SortK{}} ( + VarB1:SortK{}, + \top{SortK{}}()))) + [UNIQUE'Unds'ID{}("1ff8f4d71e4c13084eed473b08740da83c4cc7f1875d340d86dc72124c48b4a0"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2318,8,2318,59)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule ite{K}(C,_Gen0,B2)=>B2 requires `notBool_`(C) ensures #token("true","Bool") [UNIQUE_ID(2f3f58a93926913fc5ca147dfd8d3d612508bc8ff67412ef10935df7c09554d5), org.kframework.attributes.Location(Location(2319,8,2319,67)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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} ( + Lblite{SortK{}}(X0:SortBool{},X1:SortK{},X2:SortK{}), + \and{SortK{}} ( + VarB2:SortK{}, + \top{SortK{}}()))) + [UNIQUE'Unds'ID{}("2f3f58a93926913fc5ca147dfd8d3d612508bc8ff67412ef10935df7c09554d5"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(2319,8,2319,67)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// 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(1435,8,1435,57)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1435,8,1435,57)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1436,8,1436,57)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1436,8,1436,57)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1128,8,1128,29)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1128,8,1128,29)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1127,8,1127,29)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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(1127,8,1127,29)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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:Float`(inj{Float,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(ef206f477d884c0b6413273ff35b1206769cdb5a5ceba7b97d9e8e0a7b14e399), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortFloat{}, SortKItem{}}(VarK:SortFloat{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortFloat{},R} ( + Lblproject'Coln'Float{}(X0:SortK{}), + \and{SortFloat{}} ( + VarK:SortFloat{}, + \top{SortFloat{}}()))) + [UNIQUE'Unds'ID{}("ef206f477d884c0b6413273ff35b1206769cdb5a5ceba7b97d9e8e0a7b14e399")] + +// 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: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 `project:String`(inj{String,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(e491dad8f644d2344f08cb72af01ade1e6ce9f564010a2de7909b3b6c7e2ae85), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortString{}, SortKItem{}}(VarK:SortString{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortString{},R} ( + Lblproject'Coln'String{}(X0:SortK{}), + \and{SortString{}} ( + VarK:SortString{}, + \top{SortString{}}()))) + [UNIQUE'Unds'ID{}("e491dad8f644d2344f08cb72af01ade1e6ce9f564010a2de7909b3b6c7e2ae85")] + +// rule `project:Thing`(inj{Thing,KItem}(K))=>K requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(1e9f678f8fc39c8710d0c232a880f9bac5662f8f91af847cf2f3ee49ab880438), projection] + axiom{R} \implies{R} ( + \and{R}( + \top{R}(), + \and{R} ( + \in{SortK{}, R} ( + X0:SortK{}, + kseq{}(inj{SortThing{}, SortKItem{}}(VarK:SortThing{}),dotk{}()) + ), + \top{R} () + )), + \equals{SortThing{},R} ( + Lblproject'Coln'Thing{}(X0:SortK{}), + \and{SortThing{}} ( + VarK:SortThing{}, + \top{SortThing{}}()))) + [UNIQUE'Unds'ID{}("1e9f678f8fc39c8710d0c232a880f9bac5662f8f91af847cf2f3ee49ab880438")] + +// rule pushList(K,L1)=>`_List_`(`ListItem`(K),L1) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(f6967050cc4ec32c2d34d52f5577e09120f730420d2c5dc838cba81d04c57adf), org.kframework.attributes.Location(Location(954,8,954,54)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortKItem{}, R} ( + X0:SortKItem{}, + VarK:SortKItem{} + ),\and{R} ( + \in{SortList{}, R} ( + X1:SortList{}, + VarL1:SortList{} + ), + \top{R} () + ))), + \equals{SortList{},R} ( + LblpushList{}(X0:SortKItem{},X1:SortList{}), + \and{SortList{}} ( + Lbl'Unds'List'Unds'{}(LblListItem{}(VarK:SortKItem{}),VarL1:SortList{}), + \top{SortList{}}()))) + [UNIQUE'Unds'ID{}("f6967050cc4ec32c2d34d52f5577e09120f730420d2c5dc838cba81d04c57adf"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(954,8,954,54)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `replace(_,_,_,_)_STRING-COMMON_String_String_String_String_Int`(Source,ToReplace,Replacement,Count)=>`_+String__STRING-COMMON_String_String_String`(`_+String__STRING-COMMON_String_String_String`(`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(Source,#token("0","Int"),`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(Source,ToReplace,#token("0","Int"))),Replacement),`replace(_,_,_,_)_STRING-COMMON_String_String_String_String_Int`(`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(Source,`_+Int_`(`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(Source,ToReplace,#token("0","Int")),`lengthString(_)_STRING-COMMON_Int_String`(ToReplace)),`lengthString(_)_STRING-COMMON_Int_String`(Source)),ToReplace,Replacement,`_-Int_`(Count,#token("1","Int")))) requires `_andBool_`(`_>Int_`(Count,#token("0","Int")),`_>=Int_`(`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(Source,ToReplace,#token("0","Int")),#token("0","Int"))) ensures #token("true","Bool") [UNIQUE_ID(4d80f4d63262761f305ff16a13c7b187891f796dbdb8f8bc0c2387a37c01cd6d), org.kframework.attributes.Location(Location(1896,8,1899,79)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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'andBool'Unds'{}(Lbl'Unds-GT-'Int'Unds'{}(VarCount:SortInt{},\dv{SortInt{}}("0")),Lbl'Unds-GT-Eqls'Int'Unds'{}(LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarSource:SortString{},VarToReplace:SortString{},\dv{SortInt{}}("0")),\dv{SortInt{}}("0"))), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortString{}, R} ( + X0:SortString{}, + VarSource:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + VarToReplace:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X2:SortString{}, + VarReplacement:SortString{} + ),\and{R} ( + \in{SortInt{}, R} ( + X3:SortInt{}, + VarCount:SortInt{} + ), + \top{R} () + ))))), + \equals{SortString{},R} ( + Lblreplace'LParUndsCommUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String'Unds'Int{}(X0:SortString{},X1:SortString{},X2:SortString{},X3:SortInt{}), + \and{SortString{}} ( + Lbl'UndsPlus'String'UndsUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String{}(Lbl'UndsPlus'String'UndsUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String{}(LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarSource:SortString{},\dv{SortInt{}}("0"),LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarSource:SortString{},VarToReplace:SortString{},\dv{SortInt{}}("0"))),VarReplacement:SortString{}),Lblreplace'LParUndsCommUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String'Unds'Int{}(LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarSource:SortString{},Lbl'UndsPlus'Int'Unds'{}(LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarSource:SortString{},VarToReplace:SortString{},\dv{SortInt{}}("0")),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarToReplace:SortString{})),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarSource:SortString{})),VarToReplace:SortString{},VarReplacement:SortString{},Lbl'Unds'-Int'Unds'{}(VarCount:SortInt{},\dv{SortInt{}}("1")))), + \top{SortString{}}()))) + [UNIQUE'Unds'ID{}("4d80f4d63262761f305ff16a13c7b187891f796dbdb8f8bc0c2387a37c01cd6d"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1896,8,1899,79)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `replace(_,_,_,_)_STRING-COMMON_String_String_String_String_Int`(Source,_Gen0,_Gen1,Count)=>Source requires `_>=Int_`(Count,#token("0","Int")) ensures #token("true","Bool") [UNIQUE_ID(8baee90bc16d350bd96511a574002886bac6fd9d5017c31b773c5064b69c5f79), org.kframework.attributes.Location(Location(1900,8,1901,31)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)), org.kframework.definition.Production(syntax #RuleContent ::= #RuleBody "requires" Bool [klabel(#ruleRequires), symbol]), owise] + axiom{R} \implies{R} ( + \and{R} ( + \not{R} ( + \or{R} ( + \exists{R} (Var'Unds'Gen9:SortInt{}, + \exists{R} (Var'Unds'Gen6:SortString{}, + \exists{R} (Var'Unds'Gen7:SortString{}, + \exists{R} (Var'Unds'Gen8:SortString{}, + \and{R} ( + \equals{SortBool{},R}( + Lbl'Unds'andBool'Unds'{}(Lbl'Unds-GT-'Int'Unds'{}(Var'Unds'Gen9:SortInt{},\dv{SortInt{}}("0")),Lbl'Unds-GT-Eqls'Int'Unds'{}(LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(Var'Unds'Gen6:SortString{},Var'Unds'Gen7:SortString{},\dv{SortInt{}}("0")),\dv{SortInt{}}("0"))), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortString{}, R} ( + X0:SortString{}, + Var'Unds'Gen6:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + Var'Unds'Gen7:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X2:SortString{}, + Var'Unds'Gen8:SortString{} + ),\and{R} ( + \in{SortInt{}, R} ( + X3:SortInt{}, + Var'Unds'Gen9:SortInt{} + ), + \top{R} () + )))) + ))))), + \bottom{R}() + ) + ), + \and{R}( + \equals{SortBool{},R}( + Lbl'Unds-GT-Eqls'Int'Unds'{}(VarCount:SortInt{},\dv{SortInt{}}("0")), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortString{}, R} ( + X0:SortString{}, + VarSource:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + Var'Unds'Gen0:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X2:SortString{}, + Var'Unds'Gen1:SortString{} + ),\and{R} ( + \in{SortInt{}, R} ( + X3:SortInt{}, + VarCount:SortInt{} + ), + \top{R} () + )))) + )), + \equals{SortString{},R} ( + Lblreplace'LParUndsCommUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String'Unds'Int{}(X0:SortString{},X1:SortString{},X2:SortString{},X3:SortInt{}), + \and{SortString{}} ( + VarSource:SortString{}, + \top{SortString{}}()))) + [UNIQUE'Unds'ID{}("8baee90bc16d350bd96511a574002886bac6fd9d5017c31b773c5064b69c5f79"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1900,8,1901,31)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)"), owise{}()] + +// rule `replaceAll(_,_,_)_STRING-COMMON_String_String_String_String`(Source,ToReplace,Replacement)=>`replace(_,_,_,_)_STRING-COMMON_String_String_String_String_Int`(Source,ToReplace,Replacement,`countAllOccurrences(_,_)_STRING-COMMON_Int_String_String`(Source,ToReplace)) requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(262167183c3ec2e214d12bac6e639d7ac1a9f973582e16eca6c1af1da7ecc0a5), org.kframework.attributes.Location(Location(1902,8,1902,154)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortString{}, R} ( + X0:SortString{}, + VarSource:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + VarToReplace:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X2:SortString{}, + VarReplacement:SortString{} + ), + \top{R} () + )))), + \equals{SortString{},R} ( + LblreplaceAll'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String{}(X0:SortString{},X1:SortString{},X2:SortString{}), + \and{SortString{}} ( + Lblreplace'LParUndsCommUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String'Unds'Int{}(VarSource:SortString{},VarToReplace:SortString{},VarReplacement:SortString{},LblcountAllOccurrences'LParUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String{}(VarSource:SortString{},VarToReplace:SortString{})), + \top{SortString{}}()))) + [UNIQUE'Unds'ID{}("262167183c3ec2e214d12bac6e639d7ac1a9f973582e16eca6c1af1da7ecc0a5"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1902,8,1902,154)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `replaceFirst(_,_,_)_STRING-COMMON_String_String_String_String`(Source,ToReplace,Replacement)=>`_+String__STRING-COMMON_String_String_String`(`_+String__STRING-COMMON_String_String_String`(`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(Source,#token("0","Int"),`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(Source,ToReplace,#token("0","Int"))),Replacement),`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(Source,`_+Int_`(`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(Source,ToReplace,#token("0","Int")),`lengthString(_)_STRING-COMMON_Int_String`(ToReplace)),`lengthString(_)_STRING-COMMON_Int_String`(Source))) requires `_>=Int_`(`findString(_,_,_)_STRING-COMMON_Int_String_String_Int`(Source,ToReplace,#token("0","Int")),#token("0","Int")) ensures #token("true","Bool") [UNIQUE_ID(e290042e5b5b2f620c0ca1871e708c3713c62b63b283e317bb7568e13968fe0c), org.kframework.attributes.Location(Location(1886,8,1888,66)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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'{}(LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarSource:SortString{},VarToReplace:SortString{},\dv{SortInt{}}("0")),\dv{SortInt{}}("0")), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortString{}, R} ( + X0:SortString{}, + VarSource:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + VarToReplace:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X2:SortString{}, + VarReplacement:SortString{} + ), + \top{R} () + )))), + \equals{SortString{},R} ( + LblreplaceFirst'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String'Unds'String{}(X0:SortString{},X1:SortString{},X2:SortString{}), + \and{SortString{}} ( + Lbl'UndsPlus'String'UndsUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String{}(Lbl'UndsPlus'String'UndsUnds'STRING-COMMON'Unds'String'Unds'String'Unds'String{}(LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarSource:SortString{},\dv{SortInt{}}("0"),LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarSource:SortString{},VarToReplace:SortString{},\dv{SortInt{}}("0"))),VarReplacement:SortString{}),LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarSource:SortString{},Lbl'UndsPlus'Int'Unds'{}(LblfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarSource:SortString{},VarToReplace:SortString{},\dv{SortInt{}}("0")),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarToReplace:SortString{})),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarSource:SortString{}))), + \top{SortString{}}()))) + [UNIQUE'Unds'ID{}("e290042e5b5b2f620c0ca1871e708c3713c62b63b283e317bb7568e13968fe0c"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1886,8,1888,66)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `replaceFirst(_,_,_)_STRING-COMMON_String_String_String_String`(Source,ToReplace,_Gen0)=>Source requires `_`maxInt(_,_)_INT-COMMON_Int_Int_Int`(`rfindString(_,_,_)_STRING-COMMON_Int_String_String_Int`(S1,`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(S2,#token("0","Int"),#token("1","Int")),I),`rfindChar(_,_,_)_STRING-COMMON_Int_String_String_Int`(S1,`substrString(_,_,_)_STRING-COMMON_String_String_Int_Int`(S2,#token("1","Int"),`lengthString(_)_STRING-COMMON_Int_String`(S2)),I)) requires `_=/=String__STRING-COMMON_Bool_String_String`(S2,#token("\"\"","String")) ensures #token("true","Bool") [UNIQUE_ID(b7f740050d72a847424b022a9c8217325aba8a154a42831aa3c7a3b0727f3205), org.kframework.attributes.Location(Location(1878,8,1878,182)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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'String'UndsUnds'STRING-COMMON'Unds'Bool'Unds'String'Unds'String{}(VarS2:SortString{},\dv{SortString{}}("")), + \dv{SortBool{}}("true")), + \and{R} ( + \in{SortString{}, R} ( + X0:SortString{}, + VarS1:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + VarS2:SortString{} + ),\and{R} ( + \in{SortInt{}, R} ( + X2:SortInt{}, + VarI:SortInt{} + ), + \top{R} () + )))), + \equals{SortInt{},R} ( + LblrfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(X0:SortString{},X1:SortString{},X2:SortInt{}), + \and{SortInt{}} ( + LblmaxInt'LParUndsCommUndsRParUnds'INT-COMMON'Unds'Int'Unds'Int'Unds'Int{}(LblrfindString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarS1:SortString{},LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarS2:SortString{},\dv{SortInt{}}("0"),\dv{SortInt{}}("1")),VarI:SortInt{}),LblrfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(VarS1:SortString{},LblsubstrString'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'String'Unds'String'Unds'Int'Unds'Int{}(VarS2:SortString{},\dv{SortInt{}}("1"),LbllengthString'LParUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String{}(VarS2:SortString{})),VarI:SortInt{})), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("b7f740050d72a847424b022a9c8217325aba8a154a42831aa3c7a3b0727f3205"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1878,8,1878,182)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `rfindChar(_,_,_)_STRING-COMMON_Int_String_String_Int`(_Gen0,#token("\"\"","String"),_Gen1)=>#token("-1","Int") requires #token("true","Bool") ensures #token("true","Bool") [UNIQUE_ID(23b9fa88124c547d94aed32124d1ccd1069732b059f4c8b430ab4617979690f6), org.kframework.attributes.Location(Location(1879,8,1879,33)), org.kframework.attributes.Source(Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/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{SortString{}, R} ( + X0:SortString{}, + Var'Unds'Gen0:SortString{} + ),\and{R} ( + \in{SortString{}, R} ( + X1:SortString{}, + \dv{SortString{}}("") + ),\and{R} ( + \in{SortInt{}, R} ( + X2:SortInt{}, + Var'Unds'Gen1:SortInt{} + ), + \top{R} () + )))), + \equals{SortInt{},R} ( + LblrfindChar'LParUndsCommUndsCommUndsRParUnds'STRING-COMMON'Unds'Int'Unds'String'Unds'String'Unds'Int{}(X0:SortString{},X1:SortString{},X2:SortInt{}), + \and{SortInt{}} ( + \dv{SortInt{}}("-1"), + \top{SortInt{}}()))) + [UNIQUE'Unds'ID{}("23b9fa88124c547d94aed32124d1ccd1069732b059f4c8b430ab4617979690f6"), org'Stop'kframework'Stop'attributes'Stop'Location{}("Location(1879,8,1879,33)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/nix/store/q0mdrn60znyw7gdnkmadvvzzh3cb0hb7-k-7.0.94-f9886e1a48905607bad624fe8ba14dd541435aa5/include/kframework/builtin/domains.md)")] + +// rule `signExtendBitRangeInt(_,_,_)_INT-COMMON_Int_Int_Int_Int`(I,IDX,LEN)=>`_-Int_`(`_modInt_`(`_+Int_`(`bitRangeInt(_,_,_)_INT-COMMON_Int_Int_Int_Int`(I,IDX,LEN),`_<evaluated(#token("\"A and B have the same sign and are not zero\"","String")) requires `_evaluated(#token("\"contradicting ensures clause\"","String")) requires #token("true","Bool") ensures `_andBool_`(`_evaluated(#token("\"contradicting requires clause\"","String")) requires `_andBool_`(`_andBool_`(`_<=Int_`(`_*Int_`(A,B),#token("0","Int")),`__`(@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(12,1,37,10)"), org'Stop'kframework'Stop'attributes'Stop'Source{}("Source(/home/jost/work/RV/code/haskell-backend2/booster/test/rpc-integration/resources/simplify-smt.k)")] diff --git a/booster/test/rpc-integration/resources/use-path-condition-in-equations.k b/booster/test/rpc-integration/resources/use-path-condition-in-equations.k index 7324877bbd..c3b72a17bc 100644 --- a/booster/test/rpc-integration/resources/use-path-condition-in-equations.k +++ b/booster/test/rpc-integration/resources/use-path-condition-in-equations.k @@ -33,9 +33,10 @@ module USE-PATH-CONDITION-IN-EQUATIONS rule [test1F-simplify]: test1F(X:Int) => X requires X ==Int 42 [simplification] //////////////////////////////////////////////////////////////////////////////// - // Here the simplification's side condition is implied by the path condition, // + // Here the simplification's side condition is implied by the path condition, // // but we need an SMT solver to establish that. // - // Result: Aborted at depth 1 due to indeterminate condition of rule test2-1-2 // + // Result: Stuck at depth 2 in state test2State2(), // + // after applying rules test2-init, test2-1-2. // //////////////////////////////////////////////////////////////////////////////// rule [test2-init]: test2Init() => test2State1() ... _ => ?X diff --git a/booster/test/rpc-integration/test-issue3764-vacuous-branch/response-branch-after-one.json b/booster/test/rpc-integration/test-issue3764-vacuous-branch/response-branch-after-one.json index f4fd629e52..fd211bcdd2 100644 --- a/booster/test/rpc-integration/test-issue3764-vacuous-branch/response-branch-after-one.json +++ b/booster/test/rpc-integration/test-issue3764-vacuous-branch/response-branch-after-one.json @@ -4027,13 +4027,13 @@ ], "args": [ { - "tag": "EVar", - "name": "Var'Ques'WORD", + "tag": "DV", "sort": { "tag": "SortApp", "name": "SortInt", "args": [] - } + }, + "value": "2" } ] } @@ -5342,6 +5342,41 @@ ] } }, + "substitution": { + "format": "KORE", + "version": 1, + "term": { + "tag": "Equals", + "argSort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "sort": { + "tag": "SortApp", + "name": "SortGeneratedTopCell", + "args": [] + }, + "first": { + "tag": "EVar", + "name": "Var'Ques'WORD", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + } + }, + "second": { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "2" + } + } + }, "predicate": { "format": "KORE", "version": 1, @@ -5353,264 +5388,6 @@ "args": [] }, "patterns": [ - { - "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-LT-Eqls'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "0" - }, - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - } - ] - } - }, - { - "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-LT-'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - }, - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "79228162514264337593543950336" - } - ] - } - }, - { - "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-LT-'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - }, - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "5" - } - ] - } - }, - { - "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-LT-Eqls'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - }, - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "4" - } - ] - } - }, - { - "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'UndsEqlsEqls'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "0" - }, - { - "tag": "App", - "name": "Lblchop'LParUndsRParUnds'WORD'Unds'Int'Unds'Int", - "sorts": [], - "args": [ - { - "tag": "App", - "name": "Lbl'UndsPlus'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - }, - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "-2" - } - ] - } - ] - } - ] - } - }, { "tag": "Equals", "argSort": { diff --git a/booster/test/rpc-integration/test-issue3764-vacuous-branch/response-branch-in-zero.json b/booster/test/rpc-integration/test-issue3764-vacuous-branch/response-branch-in-zero.json index cc6b3c5d01..8e32aa0b8c 100644 --- a/booster/test/rpc-integration/test-issue3764-vacuous-branch/response-branch-in-zero.json +++ b/booster/test/rpc-integration/test-issue3764-vacuous-branch/response-branch-in-zero.json @@ -4027,13 +4027,13 @@ ], "args": [ { - "tag": "EVar", - "name": "Var'Ques'WORD", + "tag": "DV", "sort": { "tag": "SortApp", "name": "SortInt", "args": [] - } + }, + "value": "2" } ] } @@ -5342,6 +5342,41 @@ ] } }, + "substitution": { + "format": "KORE", + "version": 1, + "term": { + "tag": "Equals", + "argSort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "sort": { + "tag": "SortApp", + "name": "SortGeneratedTopCell", + "args": [] + }, + "first": { + "tag": "EVar", + "name": "Var'Ques'WORD", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + } + }, + "second": { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "2" + } + } + }, "predicate": { "format": "KORE", "version": 1, @@ -5353,264 +5388,6 @@ "args": [] }, "patterns": [ - { - "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-LT-Eqls'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "0" - }, - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - } - ] - } - }, - { - "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-LT-'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - }, - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "79228162514264337593543950336" - } - ] - } - }, - { - "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-LT-'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - }, - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "5" - } - ] - } - }, - { - "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-LT-Eqls'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - }, - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "4" - } - ] - } - }, - { - "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'UndsEqlsEqls'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "0" - }, - { - "tag": "App", - "name": "Lblchop'LParUndsRParUnds'WORD'Unds'Int'Unds'Int", - "sorts": [], - "args": [ - { - "tag": "App", - "name": "Lbl'UndsPlus'Int'Unds'", - "sorts": [], - "args": [ - { - "tag": "EVar", - "name": "Var'Ques'WORD", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - } - }, - { - "tag": "DV", - "sort": { - "tag": "SortApp", - "name": "SortInt", - "args": [] - }, - "value": "-2" - } - ] - } - ] - } - ] - } - }, { "tag": "Equals", "argSort": { diff --git a/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-0-1.json b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-0-1.json new file mode 100644 index 0000000000..3583afcc86 --- /dev/null +++ b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-0-1.json @@ -0,0 +1,18 @@ +{ + "jsonrpc": "2.0", + "id": 1, + "result": { + "state": { + "format": "KORE", + "version": 1, + "term": { + "tag": "Bottom", + "sort": { + "tag": "SortApp", + "name": "SortThing", + "args": [] + } + } + } + } +} \ No newline at end of file diff --git a/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-1-1.json b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-1-1.json new file mode 100644 index 0000000000..878169d361 --- /dev/null +++ b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-1-1.json @@ -0,0 +1,26 @@ +{ + "jsonrpc": "2.0", + "id": 1, + "result": { + "state": { + "format": "KORE", + "version": 1, + "term": { + "tag": "App", + "name": "Lblevaluated", + "sorts": [], + "args": [ + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortString", + "args": [] + }, + "value": "A and B have the same sign and are not zero" + } + ] + } + } + } +} \ No newline at end of file diff --git a/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-X-Y-both-lt-0.json b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-X-Y-both-lt-0.json new file mode 100644 index 0000000000..416a2984c6 --- /dev/null +++ b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-X-Y-both-lt-0.json @@ -0,0 +1,140 @@ +{ + "jsonrpc": "2.0", + "id": 1, + "result": { + "state": { + "format": "KORE", + "version": 1, + "term": { + "tag": "And", + "sort": { + "tag": "SortApp", + "name": "SortThing", + "args": [] + }, + "patterns": [ + { + "tag": "App", + "name": "Lblevaluated", + "sorts": [], + "args": [ + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortString", + "args": [] + }, + "value": "A and B have the same sign and are not zero" + } + ] + }, + { + "tag": "And", + "sort": { + "tag": "SortApp", + "name": "SortThing", + "args": [] + }, + "patterns": [ + { + "tag": "Equals", + "argSort": { + "tag": "SortApp", + "name": "SortBool", + "args": [] + }, + "sort": { + "tag": "SortApp", + "name": "SortThing", + "args": [] + }, + "first": { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortBool", + "args": [] + }, + "value": "true" + }, + "second": { + "tag": "App", + "name": "Lbl'Unds-LT-'Int'Unds'", + "sorts": [], + "args": [ + { + "tag": "EVar", + "name": "X", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + } + }, + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "0" + } + ] + } + }, + { + "tag": "Equals", + "argSort": { + "tag": "SortApp", + "name": "SortBool", + "args": [] + }, + "sort": { + "tag": "SortApp", + "name": "SortThing", + "args": [] + }, + "first": { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortBool", + "args": [] + }, + "value": "true" + }, + "second": { + "tag": "App", + "name": "Lbl'Unds-LT-'Int'Unds'", + "sorts": [], + "args": [ + { + "tag": "EVar", + "name": "Y", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + } + }, + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "0" + } + ] + } + } + ] + } + ] + } + } + } +} \ No newline at end of file diff --git a/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-X-Y.json b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-X-Y.json new file mode 100644 index 0000000000..baa9e56fe1 --- /dev/null +++ b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-X-Y.json @@ -0,0 +1,35 @@ +{ + "jsonrpc": "2.0", + "id": 1, + "result": { + "state": { + "format": "KORE", + "version": 1, + "term": { + "tag": "App", + "name": "Lblunevaluated", + "sorts": [], + "args": [ + { + "tag": "EVar", + "name": "X", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + } + }, + { + "tag": "EVar", + "name": "Y", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + } + } + ] + } + } + } +} \ No newline at end of file diff --git a/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-X-Y.kore-rpc-dev b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-X-Y.kore-rpc-dev new file mode 100644 index 0000000000..3583afcc86 --- /dev/null +++ b/booster/test/rpc-integration/test-simplify-smt/response-unevaluated-X-Y.kore-rpc-dev @@ -0,0 +1,18 @@ +{ + "jsonrpc": "2.0", + "id": 1, + "result": { + "state": { + "format": "KORE", + "version": 1, + "term": { + "tag": "Bottom", + "sort": { + "tag": "SortApp", + "name": "SortThing", + "args": [] + } + } + } + } +} \ No newline at end of file diff --git a/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-0-1.simplify b/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-0-1.simplify new file mode 100644 index 0000000000..bcd5d50584 --- /dev/null +++ b/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-0-1.simplify @@ -0,0 +1,29 @@ +{ + "format": "KORE", + "version": 1, + "term": { + "tag": "App", + "name": "Lblunevaluated", + "sorts": [], + "args": [ + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "0" + }, + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "1" + } + ] +} + } diff --git a/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-1-1.simplify b/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-1-1.simplify new file mode 100644 index 0000000000..7fa2e0c4e8 --- /dev/null +++ b/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-1-1.simplify @@ -0,0 +1,29 @@ +{ + "format": "KORE", + "version": 1, + "term": { + "tag": "App", + "name": "Lblunevaluated", + "sorts": [], + "args": [ + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "1" + }, + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "1" + } + ] +} +} diff --git a/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-X-Y-both-lt-0.simplify b/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-X-Y-both-lt-0.simplify new file mode 100644 index 0000000000..2b0ce3b306 --- /dev/null +++ b/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-X-Y-both-lt-0.simplify @@ -0,0 +1,133 @@ +{ + "format": "KORE", + "version": 1, + "term": { + "tag": "And", + "sort": { + "tag": "SortApp", + "name": "SortThing", + "args": [] + }, + "patterns": [ + { + "tag": "App", + "name": "Lblunevaluated", + "sorts": [], + "args": [ + { + "tag": "EVar", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "name": "X" + }, + { + "tag": "EVar", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "name": "Y" + } + ] + }, + { + "tag": "Equals", + "argSort": { + "tag": "SortApp", + "name": "SortBool", + "args": [] + }, + "sort": { + "tag": "SortApp", + "name": "SortThing", + "args": [] + }, + "first": { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortBool", + "args": [] + }, + "value": "true" + }, + "second": { + "tag": "App", + "name": "Lbl'Unds-LT-'Int'Unds'", + "sorts": [], + "args": [ + { + "tag": "EVar", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "name": "X" + }, + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "0" + } + ] + } + }, + { + "tag": "Equals", + "argSort": { + "tag": "SortApp", + "name": "SortBool", + "args": [] + }, + "sort": { + "tag": "SortApp", + "name": "SortThing", + "args": [] + }, + "first": { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortBool", + "args": [] + }, + "value": "true" + }, + "second": { + "tag": "App", + "name": "Lbl'Unds-LT-'Int'Unds'", + "sorts": [], + "args": [ + { + "tag": "EVar", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "name": "Y" + }, + { + "tag": "DV", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "value": "0" + } + ] + } + } + ] + } +} diff --git a/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-X-Y.simplify b/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-X-Y.simplify new file mode 100644 index 0000000000..832d4d8b63 --- /dev/null +++ b/booster/test/rpc-integration/test-simplify-smt/state-unevaluated-X-Y.simplify @@ -0,0 +1,29 @@ +{ + "format": "KORE", + "version": 1, + "term": { + "tag": "App", + "name": "Lblunevaluated", + "sorts": [], + "args": [ + { + "tag": "EVar", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "name": "X" + }, + { + "tag": "EVar", + "sort": { + "tag": "SortApp", + "name": "SortInt", + "args": [] + }, + "name": "Y" + } + ] +} +} diff --git a/booster/test/rpc-integration/test-use-path-condition-in-equations/response-test2.json b/booster/test/rpc-integration/test-use-path-condition-in-equations/response-test2.json index f4ccffbb2a..9d24d95c64 100644 --- a/booster/test/rpc-integration/test-use-path-condition-in-equations/response-test2.json +++ b/booster/test/rpc-integration/test-use-path-condition-in-equations/response-test2.json @@ -2,8 +2,8 @@ "jsonrpc": "2.0", "id": 1, "result": { - "reason": "aborted", - "depth": 1, + "reason": "stuck", + "depth": 2, "state": { "term": { "format": "KORE", @@ -41,7 +41,7 @@ "args": [ { "tag": "App", - "name": "Lbltest2State1'LParRParUnds'USE-PATH-CONDITION-IN-EQUATIONS'Unds'State", + "name": "Lbltest2State2'LParRParUnds'USE-PATH-CONDITION-IN-EQUATIONS'Unds'State", "sorts": [], "args": [] } @@ -145,4 +145,4 @@ } } } -} \ No newline at end of file +} diff --git a/scripts/booster-integration-tests.sh b/scripts/booster-integration-tests.sh index 015f0670eb..1a123beae5 100755 --- a/scripts/booster-integration-tests.sh +++ b/scripts/booster-integration-tests.sh @@ -45,7 +45,7 @@ for dir in $(ls -d test-*); do SERVER=$KORE_RPC_BOOSTER ./runDirectoryTest.sh test-$name $@ SERVER=$BOOSTER_DEV SERVER_OPTS="--no-smt" ./runDirectoryTest.sh test-$name $@ ;; - "questionmark-vars") + "questionmark-vars" | "simplify-smt") SERVER=$BOOSTER_DEV ./runDirectoryTest.sh test-$name $@ SERVER=$KORE_RPC_DEV ./runDirectoryTest.sh test-$name $@ ;; diff --git a/scripts/performance-tests-kontrol.sh b/scripts/performance-tests-kontrol.sh index d170a76fe6..41658514c4 100755 --- a/scripts/performance-tests-kontrol.sh +++ b/scripts/performance-tests-kontrol.sh @@ -111,7 +111,7 @@ PYTEST_TEMP_DIR=$TEMPD/pytest-temp-dir mkdir -p $PYTEST_TEMP_DIR FOUNDRY_DIR=$TEMPD/foundry mkdir -p $FOUNDRY_DIR -feature_shell "make test-integration TEST_ARGS='--basetemp=$PYTEST_TEMP_DIR -n0 --dist=no -k test_foundry_kompile'" +feature_shell "make test-integration TEST_ARGS='--basetemp=$PYTEST_TEMP_DIR -n0 --dist=no -k test_foundry_kompile --update-expected-output'" cp -r $PYTEST_TEMP_DIR/foundry/* $FOUNDRY_DIR mkdir -p $SCRIPT_DIR/logs