/******************************************************************************

 * Top contributors (to current version):

 *   Tim King, Andrew Reynolds, Alex Ozdemir

 *

 * This file is part of the cvc5 project.

 *

 * Copyright (c) 2009-2021 by the authors listed in the file AUTHORS

 * in the top-level source directory and their institutional affiliations.

 * All rights reserved.  See the file COPYING in the top-level source

 * directory for licensing information.

 * ****************************************************************************

 *

 * [[ Add one-line brief description here ]]

 *

 * [[ Add lengthier description here ]]

 * \todo document this file

 */

#pragma once

#include <map>

#include <vector>

#include "context/cdhashset.h"

#include "context/cdinsert_hashmap.h"

#include "context/cdlist.h"

#include "context/cdqueue.h"

#include "expr/kind.h"

#include "expr/node.h"

#include "expr/node_builder.h"

#include "proof/trust_node.h"

#include "theory/arith/arith_static_learner.h"

#include "theory/arith/arith_utilities.h"

#include "theory/arith/arithvar.h"

#include "theory/arith/attempt_solution_simplex.h"

#include "theory/arith/branch_and_bound.h"

#include "theory/arith/congruence_manager.h"

#include "theory/arith/constraint.h"

#include "theory/arith/delta_rational.h"

#include "theory/arith/dio_solver.h"

#include "theory/arith/dual_simplex.h"

#include "theory/arith/error_set.h"

#include "theory/arith/fc_simplex.h"

#include "theory/arith/infer_bounds.h"

#include "theory/arith/linear_equality.h"

#include "theory/arith/matrix.h"

#include "theory/arith/normal_form.h"

#include "theory/arith/partial_model.h"

#include "theory/arith/proof_checker.h"

#include "theory/arith/soi_simplex.h"

#include "theory/arith/theory_arith.h"

#include "theory/valuation.h"

#include "util/dense_map.h"

#include "util/integer.h"

#include "util/rational.h"

#include "util/result.h"

#include "util/statistics_stats.h"

namespace cvc5 {

class EagerProofGenerator;

namespace theory {

class TheoryModel;

namespace arith {

class BranchCutInfo;

class TreeLog;

class ApproximateStatistics;

class ArithEntailmentCheckParameters;

class ArithEntailmentCheckSideEffects;

namespace inferbounds {

  class InferBoundAlgorithm;

}

class InferBoundsResult;

/**

 * Implementation of QF_LRA.

 * Based upon:

 * http://research.microsoft.com/en-us/um/people/leonardo/cav06.pdf

 */

class TheoryArithPrivate : protected EnvObj

{

 private:

  static const uint32_t RESET_START = 2;

  TheoryArith& d_containing;

  /**

   * Whether we encountered non-linear arithmetic at any time during solving.

   */

  bool d_foundNl;

  BoundInfoMap d_rowTracking;

  /** Branch and bound utility */

  BranchAndBound& d_bab;

  // For proofs

  /** Manages the proof nodes of this theory. */

  ProofNodeManager* d_pnm;

  /** Checks the proof rules of this theory. */

  ArithProofRuleChecker d_checker;

  /** Stores proposition(node)/proof pairs. */

  std::unique_ptr<EagerProofGenerator> d_pfGen;

  /**

   * The constraint database associated with the theory.

   * This must be declared before ArithPartialModel.

   */

  ConstraintDatabase d_constraintDatabase;

  enum Result::Sat d_qflraStatus;

  // check()

  //   !done() -> d_qflraStatus = Unknown

  //   fullEffort(e) -> simplex returns either sat or unsat

  //   !fullEffort(e) -> simplex returns either sat, unsat or unknown

  //                     if unknown, save the assignment

  //                     if unknown, the simplex priority queue cannot be emptied

  int d_unknownsInARow;

  bool d_replayedLemmas;

  /**

   * This counter is false if nothing has been done since the last cut.

   * This is used to break an infinite loop.

   */

  bool d_hasDoneWorkSinceCut;

  /** Static learner. */

  ArithStaticLearner d_learner;

  //std::vector<ArithVar> d_pool;

public:

  void releaseArithVar(ArithVar v);

private:

  // t does not contain constants

  void entailmentCheckBoundLookup(std::pair<Node, DeltaRational>& tmp, int sgn, TNode tp) const;

  void entailmentCheckRowSum(std::pair<Node, DeltaRational>& tmp, int sgn, TNode tp) const;

  /**

   * Infers either a new upper/lower bound on term in the real relaxation.

   * Either:

   * - term is malformed (see below)

   * - a maximum/minimum is found with the result being a pair

   * -- <dr, exp> where

   * -- term <?> dr is implies by exp

   * -- <?> is <= if inferring an upper bound, >= otherwise

   * -- exp is in terms of the assertions to the theory.

   * - No upper or lower bound is inferrable in the real relaxation.

   * -- Returns <0, Null()>

   * - the maximum number of rounds was exhausted:

   * -- Returns <v, term> where v is the current feasible value of term

   * - Threshold reached:

   * -- If theshold != NULL, and a feasible value is found to exceed threshold

   * -- Simplex stops and returns <threshold, term>

   */

  //std::pair<DeltaRational, Node> inferBound(TNode term, bool lb, int maxRounds = -1, const DeltaRational* threshold = NULL);

private:

  static bool decomposeTerm(Node term, Rational& m, Node& p, Rational& c);

  static bool decomposeLiteral(Node lit, Kind& k, int& dir, Rational& lm,  Node& lp, Rational& rm, Node& rp, Rational& dm, Node& dp, DeltaRational& sep);

  static void setToMin(int sgn, std::pair<Node, DeltaRational>& min, const std::pair<Node, DeltaRational>& e);

  /**

   * The map between arith variables to nodes.

   */

  //ArithVarNodeMap d_arithvarNodeMap;

  typedef ArithVariables::var_iterator var_iterator;

  NodeSet d_setupNodes;

public:

  }

private:

  void setupVariable(const Variable& x);

  void setupVariableList(const VarList& vl);

  void setupPolynomial(const Polynomial& poly);

public:

  void setupAtom(TNode atom);

private:

  void cautiousSetupPolynomial(const Polynomial& p);

  /**

   * A superset of all of the assertions that currently are not the literal for

   * their constraint do not match constraint literals. Not just the witnesses.

   */

  context::CDInsertHashMap<Node, ConstraintP>

      d_assertionsThatDoNotMatchTheirLiterals;

  /** Returns true if x is of type Integer. */

  }

  /** Returns true if the variable was initially introduced as an auxiliary variable. */

  }

  {

  }

  /**

   * On full effort checks (after determining LA(Q) satisfiability), we

   * consider integer vars, but we make sure to do so fairly to avoid

   * nontermination (although this isn't a guarantee).  To do it fairly,

   * we consider variables in round-robin fashion.  This is the

   * round-robin index.

   */

  ArithVar d_nextIntegerCheckVar;

  /**

   * Queue of Integer variables that are known to be equal to a constant.

   */

  context::CDQueue<ArithVar> d_constantIntegerVariables;

  Node callDioSolver();

  /**

   * Produces lemmas of the form (or (>= f 0) (<= f 0)),

   * where f is a plane that the diophantine solver is interested in.

   *

   * More precisely, produces lemmas of the form (or (>= lc -c) (<= lc -c))

   * where lc is a linear combination of variables, c is a constant, and lc + c

   * is the plane.

   */

  TrustNode dioCutting();

  Comparison mkIntegerEqualityFromAssignment(ArithVar v);

  /**

   * List of all of the disequalities asserted in the current context that are not known

   * to be satisfied.

   */

  context::CDQueue<ConstraintP> d_diseqQueue;

  /**

   * Constraints that have yet to be processed by proagation work list.

   * All of the elements have type of LowerBound, UpperBound, or

   * Equality.

   *

   * This is empty at the beginning of every check call.

   *

   * If head()->getType() == LowerBound or UpperBound,

   * then d_cPL[1] is the previous constraint in d_partialModel for the

   * corresponding bound.

   * If head()->getType() == Equality,

   * then d_cPL[1] is the previous lowerBound in d_partialModel,

   * and d_cPL[2] is the previous upperBound in d_partialModel.

   */

  std::deque<ConstraintP> d_currentPropagationList;

  context::CDQueue<ConstraintP> d_learnedBounds;

  /**

   * Contains all nodes that have been preregistered

   */

  context::CDHashSet<Node> d_preregisteredNodes;

  /**

   * Manages information about the assignment and upper and lower bounds on

   * variables.

   */

  ArithVariables d_partialModel;

  /** The set of variables in error in the partial model. */

  ErrorSet d_errorSet;

  /**

   * The tableau for all of the constraints seen thus far in the system.

   */

  Tableau d_tableau;

  /**

   * Maintains the relationship between the PartialModel and the Tableau.

   */

  LinearEqualityModule d_linEq;

  /**

   * A Diophantine equation solver.  Accesses the tableau and partial

   * model (each in a read-only fashion).

   */

  DioSolver d_diosolver;

  /** Counts the number of notifyRestart() calls to the theory. */

  uint32_t d_restartsCounter;

  /**

   * Every number of restarts equal to s_TABLEAU_RESET_PERIOD,

   * the density of the tableau, d, is computed.

   * If d >= s_TABLEAU_RESET_DENSITY * d_initialDensity, the tableau

   * is set to d_initialTableau.

   */

  bool d_tableauSizeHasBeenModified;

  double d_tableauResetDensity;

  uint32_t d_tableauResetPeriod;

  static const uint32_t s_TABLEAU_RESET_INCREMENT = 5;

  /** This is only used by simplex at the moment. */

  context::CDList<std::pair<ConstraintCP, InferenceId>> d_conflicts;

  /** This is only used by simplex at the moment. */

  context::CDO<Node> d_blackBoxConflict;

  /** For holding the proof of the above conflict node. */

  context::CDO<std::shared_ptr<ProofNode>> d_blackBoxConflictPf;

  bool isProofEnabled() const;

 public:

  /**

   * This adds the constraint a to the queue of conflicts in d_conflicts.

   * Both a and ~a must have a proof.

   */

  void raiseConflict(ConstraintCP a, InferenceId id);

  // inline void raiseConflict(const ConstraintCPVec& cv){

  //   d_conflicts.push_back(cv);

  // }

  // void raiseConflict(ConstraintCP a, ConstraintCP b);

  // void raiseConflict(ConstraintCP a, ConstraintCP b, ConstraintCP c);

  /** This is a conflict that is magically known to hold. */

  void raiseBlackBoxConflict(Node bb, std::shared_ptr<ProofNode> pf = nullptr);

  /**

   * Returns true iff a conflict has been raised. This method is public since

   * it is needed by the ArithState class to know whether we are in conflict.

   */

  bool anyConflict() const;

 private:

  }

  /**

   * Outputs the contents of d_conflicts onto d_out.

   * The conditions of anyConflict() must hold.

   */

  void outputConflicts();

  /**

   * A copy of the tableau.

   * This is equivalent  to the original tableau if d_tableauSizeHasBeenModified

   * is false.

   * The set of basic and non-basic variables may differ from d_tableau.

   */

  Tableau d_smallTableauCopy;

  /**

   * Returns true if all of the basic variables in the simplex queue of

   * basic variables that violate their bounds in the current tableau

   * are basic in d_smallTableauCopy.

   *

   * d_tableauSizeHasBeenModified must be false when calling this.

   * Simplex's priority queue must be in collection mode.

   */

  bool safeToReset() const;

  /** This keeps track of difference equalities. Mostly for sharing. */

  ArithCongruenceManager d_congruenceManager;

  context::CDO<bool> d_cmEnabled;

  /** This implements the Simplex decision procedure. */

  DualSimplexDecisionProcedure d_dualSimplex;

  FCSimplexDecisionProcedure d_fcSimplex;

  SumOfInfeasibilitiesSPD d_soiSimplex;

  AttemptSolutionSDP d_attemptSolSimplex;

  bool solveRealRelaxation(Theory::Effort effortLevel);

  /* Returns true if this is heuristically a good time to try

   * to solve the integers.

   */

  bool attemptSolveInteger(Theory::Effort effortLevel, bool emmmittedLemmaOrSplit);

  bool replayLemmas(ApproximateSimplex* approx);

  void solveInteger(Theory::Effort effortLevel);

  bool safeToCallApprox() const;

  SimplexDecisionProcedure& selectSimplex(bool pass1);

  SimplexDecisionProcedure* d_pass1SDP;

  SimplexDecisionProcedure* d_otherSDP;

  /* Sets d_qflraStatus */

  void importSolution(const ApproximateSimplex::Solution& solution);

  bool solveRelaxationOrPanic(Theory::Effort effortLevel);

  context::CDO<int> d_lastContextIntegerAttempted;

  bool replayLog(ApproximateSimplex* approx);

  class ModelException : public Exception {

   public:

    ModelException(TNode n, const char* msg);

    ~ModelException() override;

  };

  /**

   * Computes the delta rational value of a term from the current partial

   * model. This returns the delta value assignment to the term if it is in the

   * partial model. Otherwise, this is computed recursively for arithmetic terms

   * from each subterm.

   *

   * This throws a DeltaRationalException if the value cannot be represented as

   * a DeltaRational. This throws a ModelException if there is a term is not in

   * the partial model and is not a theory of arithmetic term.

   *

   * precondition: The linear abstraction of the nodes must be satisfiable.

   */

  DeltaRational getDeltaValue(TNode term) const

      /* throw(DeltaRationalException, ModelException) */;

 public:

  TheoryArithPrivate(TheoryArith& containing, Env& env, BranchAndBound& bab);

  ~TheoryArithPrivate();

  //--------------------------------- initialization

  /**

   * Returns true if we need an equality engine, see

   * Theory::needsEqualityEngine.

   */

  bool needsEqualityEngine(EeSetupInfo& esi);

  /** finish initialize */

  void finishInit();

  //--------------------------------- end initialization

  /**

   * Does non-context dependent setup for a node connected to a theory.

   */

  void preRegisterTerm(TNode n);

  void propagate(Theory::Effort e);

  TrustNode explain(TNode n);

  Rational deltaValueForTotalOrder() const;

  bool collectModelInfo(TheoryModel* m);

  /**

   * Collect model values. This is the main method for extracting information

   * about how to construct the model. This method relies on the caller for

   * processing the map, which is done so that other modules (e.g. the

   * non-linear extension) can modify arithModel before it is sent to the model.

   *

   * @param termSet The set of relevant terms

   * @param arithModel Mapping from terms (of real type) to their values. The

   * caller should assert equalities to the model for each entry in this map.

   */

  void collectModelValues(const std::set<Node>& termSet,

                          std::map<Node, Node>& arithModel);

  void shutdown(){ }

  void presolve();

  void notifyRestart();

  Theory::PPAssertStatus ppAssert(TrustNode tin,

                                  TrustSubstitutionMap& outSubstitutions);

  void ppStaticLearn(TNode in, NodeBuilder& learned);

  std::string identify() const { return std::string("TheoryArith"); }

  EqualityStatus getEqualityStatus(TNode a, TNode b);

  /** Called when n is notified as being a shared term with TheoryArith. */

  void notifySharedTerm(TNode n);

  Node getModelValue(TNode var);

  std::pair<bool, Node> entailmentCheck(TNode lit, const ArithEntailmentCheckParameters& params, ArithEntailmentCheckSideEffects& out);

  //--------------------------------- standard check

  /** Pre-check, called before the fact queue of the theory is processed. */

  bool preCheck(Theory::Effort level);

  /** Pre-notify fact. */

  void preNotifyFact(TNode atom, bool pol, TNode fact);

  /**

   * Post-check, called after the fact queue of the theory is processed. Returns

   * true if a conflict or lemma was emitted.

   */

  bool postCheck(Theory::Effort level);

  //--------------------------------- end standard check

  /**

   * Found non-linear? This returns true if this solver ever encountered

   * any non-linear terms that were unhandled. Note that this class is not

   * responsible for handling non-linear arithmetic. If the owner of this

   * class does not handle non-linear arithmetic in another way, then

   * setIncomplete should be called on the output channel of TheoryArith.

   */

  bool foundNonlinear() const;

  /** get the proof checker of this theory */

  ArithProofRuleChecker* getProofChecker();

 private:

  /** The constant zero. */

  DeltaRational d_DELTA_ZERO;

  /** propagates an arithvar */

  void propagateArithVar(bool upperbound, ArithVar var );

  /**

   * Using the simpleKind return the ArithVar associated with the assertion.

   */

  ArithVar determineArithVar(const Polynomial& p) const;

  ArithVar determineArithVar(TNode assertion) const;

  /**

   * Splits the disequalities in d_diseq that are violated using lemmas on demand.

   * returns true if any lemmas were issued.

   * returns false if all disequalities are satisfied in the current model.

   */

  bool splitDisequalities();

  /** A Difference variable is known to be 0.*/

  void zeroDifferenceDetected(ArithVar x);

  /**

   * Looks for the next integer variable without an integer assignment in a

   * round-robin fashion. Changes the value of d_nextIntegerCheckVar.

   *

   * This returns true if all integer variables have integer assignments.

   * If this returns false, d_nextIntegerCheckVar does not have an integer

   * assignment.

   */

  bool hasIntegerModel();

  /**

   * Looks for through the variables starting at d_nextIntegerCheckVar

   * for the first integer variable that is between its upper and lower bounds

   * that has a non-integer assignment.

   *

   * If assumeBounds is true, skip the check that the variable is in bounds.

   *

   * If there is no such variable, returns ARITHVAR_SENTINEL;

   */

  ArithVar nextIntegerViolation(bool assumeBounds) const;

  /**

   * Issues branches for non-auxiliary integer variables with non-integer assignments.

   * Returns a cut for a lemma.

   * If there is an integer model, this returns Node::null().

   */

  TrustNode roundRobinBranch();

 public:

  /**

   * This requests a new unique ArithVar value for x.

   * This also does initial (not context dependent) set up for a variable,

   * except for setting up the initial.

   *

   * If aux is true, this is an auxiliary variable.

   * If internal is true, x might not be unique up to a constant multiple.

   */

  ArithVar requestArithVar(TNode x, bool aux, bool internal);

public:

  const BoundsInfo& boundsInfo(ArithVar basic) const;

private:

  /** Initial (not context dependent) sets up for a variable.*/

  void setupBasicValue(ArithVar x);

  /** Initial (not context dependent) sets up for a new auxiliary variable.*/

  void setupAuxiliary(TNode left);

  /**

   * Assert*(n, orig) takes an bound n that is implied by orig.

   * and asserts that as a new bound if it is tighter than the current bound

   * and updates the value of a basic variable if needed.

   *

   * orig must be a literal in the SAT solver so that it can be used for

   * conflict analysis.

   *

   * x is the variable getting the new bound,

   * c is the value of the new bound.

   *

   * If this new bound is in conflict with the other bound,

   * a node describing this conflict is returned.

   * If this new bound is not in conflict, Node::null() is returned.

   */

  bool AssertLower(ConstraintP constraint);

  bool AssertUpper(ConstraintP constraint);

  bool AssertEquality(ConstraintP constraint);

  bool AssertDisequality(ConstraintP constraint);

  /** Tracks the bounds that were updated in the current round. */

  DenseSet d_updatedBounds;

  /** Tracks the basic variables where propagation might be possible. */

  DenseSet d_candidateBasics;

  DenseSet d_candidateRows;

  void clearUpdates();

  void revertOutOfConflict();

  void propagateCandidatesNew();

  void dumpUpdatedBoundsToRows();

  bool propagateCandidateRow(RowIndex rid);

  bool propagateMightSucceed(ArithVar v, bool ub) const;

  /** Attempt to perform a row propagation where there is at most 1 possible variable.*/

  bool attemptSingleton(RowIndex ridx, bool rowUp);

  /** Attempt to perform a row propagation where every variable is a potential candidate.*/

  bool attemptFull(RowIndex ridx, bool rowUp);

  bool tryToPropagate(RowIndex ridx, bool rowUp, ArithVar v, bool vUp, const DeltaRational& bound);

  bool rowImplicationCanBeApplied(RowIndex ridx, bool rowUp, ConstraintP bestImplied);

  //void enqueueConstraints(std::vector<ConstraintCP>& out, Node n) const;

  //ConstraintCPVec resolveOutPropagated(const ConstraintCPVec& v, const std::set<ConstraintCP>& propagated) const;

  void resolveOutPropagated(std::vector<ConstraintCPVec>& confs, const std::set<ConstraintCP>& propagated) const;

  void subsumption(std::vector<ConstraintCPVec>& confs) const;

  Node cutToLiteral(ApproximateSimplex*  approx, const CutInfo& cut) const;

  Node branchToNode(ApproximateSimplex* approx, const NodeLog& cut) const;

  void propagateCandidates();

  void propagateCandidate(ArithVar basic);

  bool propagateCandidateBound(ArithVar basic, bool upperBound);

  }

  }

  /**

   * Performs a check to see if it is definitely true that setup can be avoided.

   */

  bool canSafelyAvoidEqualitySetup(TNode equality);

  /**

   * Handles the case splitting for check() for a new assertion.

   * Returns a conflict if one was found.

   * Returns Node::null if no conflict was found.

   *

   * @param assertion The assertion that was just popped from the fact queue

   * of TheoryArith and given to this class via preNotifyFact.

   */

  ConstraintP constraintFromFactQueue(TNode assertion);

  bool assertionCases(ConstraintP c);

  /**

   * Returns the basic variable with the shorted row containing a non-basic variable.

   * If no such row exists, return ARITHVAR_SENTINEL.

   */

  ArithVar findShortestBasicRow(ArithVar variable);

  /**

   * Debugging only routine!

   * Returns true iff every variable is consistent in the partial model.

   */

  bool entireStateIsConsistent(const std::string& locationHint);

  bool unenqueuedVariablesAreConsistent();

  bool isImpliedUpperBound(ArithVar var, Node exp);

  bool isImpliedLowerBound(ArithVar var, Node exp);

  void internalExplain(TNode n, NodeBuilder& explainBuilder);

  void asVectors(const Polynomial& p,

                 std::vector<Rational>& coeffs,

                 std::vector<ArithVar>& variables);

  /** Routine for debugging. Print the assertions the theory is aware of. */

  void debugPrintAssertions(std::ostream& out) const;

  /** Debugging only routine. Prints the model. */

  void debugPrintModel(std::ostream& out) const;

  inline TNode get() { return d_containing.get(); }

  bool outputTrustedLemma(TrustNode lem, InferenceId id);

  bool outputLemma(TNode lem, InferenceId id);

  void outputTrustedConflict(TrustNode conf, InferenceId id);

  void outputConflict(TNode lit, InferenceId id);

  void outputPropagate(TNode lit);

  void outputRestart();

  }

  }

  /** Used for replaying approximate simplex */

  context::CDQueue<TrustNode> d_approxCuts;

  /** Also used for replaying approximate simplex. "approximate cuts temporary storage" */

  std::vector<TrustNode> d_acTmp;

  /** Counts the number of fullCheck calls to arithmetic. */

  uint32_t d_fullCheckCounter;

  std::vector<ArithVar> cutAllBounded() const;

  TrustNode branchIntegerVariable(ArithVar x) const;

  void branchVector(const std::vector<ArithVar>& lemmas);

  context::CDO<unsigned> d_cutCount;

  context::CDHashSet<ArithVar, std::hash<ArithVar> > d_cutInContext;

  context::CDO<bool> d_likelyIntegerInfeasible;

  context::CDO<bool> d_guessedCoeffSet;

  ArithRatPairVec d_guessedCoeffs;

  TreeLog* d_treeLog;

  TreeLog& getTreeLog();

  ArithVarVec d_replayVariables;

  std::vector<ConstraintP> d_replayConstraints;

  DenseMap<Rational> d_lhsTmp;

  /* Approximate simpplex solvers are given a copy of their stats */

  ApproximateStatistics* d_approxStats;

  ApproximateStatistics& getApproxStats();

  context::CDO<int32_t> d_attemptSolveIntTurnedOff;

  void turnOffApproxFor(int32_t rounds);

  bool getSolveIntegerResource();

  void tryBranchCut(ApproximateSimplex* approx, int nid, BranchCutInfo& bl);

  std::vector<ConstraintCPVec> replayLogRec(ApproximateSimplex* approx, int nid, ConstraintP bc, int depth);

  std::pair<ConstraintP, ArithVar> replayGetConstraint(const CutInfo& info);

  std::pair<ConstraintP, ArithVar> replayGetConstraint(

      ApproximateSimplex* approx, const NodeLog& nl);

  std::pair<ConstraintP, ArithVar> replayGetConstraint(const DenseMap<Rational>& lhs, Kind k, const Rational& rhs, bool branch);

  void replayAssert(ConstraintP c);

  static ConstraintCP vectorToIntHoleConflict(const ConstraintCPVec& conflict);

  static void intHoleConflictToVector(ConstraintCP conflicting, ConstraintCPVec& conflict);

  // Returns true if the node contains a literal

  // that is an arithmetic literal and is not a sat literal

  // No caching is done so this should likely only

  // be called carefully!

  bool hasFreshArithLiteral(Node n) const;

  int32_t d_dioSolveResources;

  bool getDioCuttingResource();

  uint32_t d_solveIntMaybeHelp, d_solveIntAttempts;

  RationalVector d_farkasBuffer;

  //---------------- during check

  /** Whether there were new facts during preCheck */

  bool d_newFacts;

  /** The previous status, computed during preCheck */

  Result::Sat d_previousStatus;

  //---------------- end during check

  /** These fields are designed to be accessible to TheoryArith methods. */

  class Statistics {

  public:

    IntStat d_statAssertUpperConflicts, d_statAssertLowerConflicts;

    IntStat d_statUserVariables, d_statAuxiliaryVariables;

    IntStat d_statDisequalitySplits;

    IntStat d_statDisequalityConflicts;

    TimerStat d_simplifyTimer;

    TimerStat d_staticLearningTimer;

    TimerStat d_presolveTime;

    TimerStat d_newPropTime;

    IntStat d_externalBranchAndBounds;

    IntStat d_initialTableauSize;

    IntStat d_currSetToSmaller;

    IntStat d_smallerSetToCurr;

    TimerStat d_restartTimer;

    TimerStat d_boundComputationTime;

    IntStat d_boundComputations, d_boundPropagations;

    IntStat d_unknownChecks;

    IntStat d_maxUnknownsInARow;

    AverageStat d_avgUnknownsInARow;

    IntStat d_revertsOnConflicts;

    IntStat d_commitsOnConflicts;

    IntStat d_nontrivialSatChecks;

    IntStat d_replayLogRecCount,

      d_replayLogRecConflictEscalation,

      d_replayLogRecEarlyExit,

      d_replayBranchCloseFailures,

      d_replayLeafCloseFailures,

      d_replayBranchSkips,

      d_mirCutsAttempted,

      d_gmiCutsAttempted,

      d_branchCutsAttempted,

      d_cutsReconstructed,

      d_cutsReconstructionFailed,

      d_cutsProven,

      d_cutsProofFailed,

      d_mipReplayLemmaCalls,

      d_mipExternalCuts,

      d_mipExternalBranch;

    IntStat d_inSolveInteger,

      d_branchesExhausted,

      d_execExhausted,

      d_pivotsExhausted,

      d_panicBranches,

      d_relaxCalls,

      d_relaxLinFeas,

      d_relaxLinFeasFailures,

      d_relaxLinInfeas,

      d_relaxLinInfeasFailures,

      d_relaxLinExhausted,

      d_relaxOthers;

    IntStat d_applyRowsDeleted;

    TimerStat d_replaySimplexTimer;

    TimerStat d_replayLogTimer,

      d_solveIntTimer,

      d_solveRealRelaxTimer;

    IntStat d_solveIntCalls,

      d_solveStandardEffort;

    IntStat d_approxDisabled;

    IntStat d_replayAttemptFailed;

    IntStat d_cutsRejectedDuringReplay;

    IntStat d_cutsRejectedDuringLemmas;

    HistogramStat<uint32_t> d_satPivots;

    HistogramStat<uint32_t> d_unsatPivots;

    HistogramStat<uint32_t> d_unknownPivots;

    IntStat d_solveIntModelsAttempts;

    IntStat d_solveIntModelsSuccessful;

    TimerStat d_mipTimer;

    TimerStat d_lpTimer;

    IntStat d_mipProofsAttempted;

    IntStat d_mipProofsSuccessful;

    IntStat d_numBranchesFailed;

    Statistics(StatisticsRegistry& reg, const std::string& name);

  };

  Statistics d_statistics;

}; /* class TheoryArithPrivate */

}  // namespace arith

}  // namespace theory

}  // namespace cvc5