public void Run()
{
Dictionary <string, string> cfg = new Dictionary <string, string>()
{
{ "AUTO_CONFIG", "true" }
};
using (Context ctx = new Context(cfg))
{
RealExpr x = ctx.MkRealConst("x");
RealExpr y = ctx.MkRealConst("y");
RealExpr z = ctx.MkRealConst("z");
Goal g = ctx.MkGoal();
g.Assert(ctx.MkGt(ctx.MkAdd(x, y, z), ctx.MkReal(0)));
Probe p = ctx.MkProbe("num-consts");
Console.WriteLine("num-consts: " + p.Apply(g));
Tactic t = ctx.FailIf(ctx.Gt(p, ctx.Const(2)));
try
{
t.Apply(g);
}
catch (Z3Exception ex)
{
Console.WriteLine("Tactic failed: " + ex.Message);
}
Console.WriteLine("trying again...");
g = ctx.MkGoal();
g.Assert(ctx.MkGt(ctx.MkAdd(x, y), ctx.MkReal(0)));
Console.WriteLine(t[g]);
}
}
public void Test_Z3_GoalsAndProbes()
{
using (Context ctx = new Context())
{
Solver solver = ctx.MkSolver();
#region Print all Probes
if (false)
{
for (int i = 0; i < ctx.ProbeNames.Length; ++i)
{
Console.WriteLine(i + ": probe " + ctx.ProbeNames[i] + "; " + ctx.ProbeDescription(ctx.ProbeNames[i]));
}
/*
* 0: probe is-quasi-pb; true if the goal is quasi-pb.
* 1: probe is-unbounded; true if the goal contains integer/real constants that do not have lower/upper bounds.
* 2: probe is-pb; true if the goal is a pseudo-boolean problem.
* 3: probe arith-max-deg; max polynomial total degree of an arithmetic atom.
* 4: probe arith-avg-deg; avg polynomial total degree of an arithmetic atom.
* 5: probe arith-max-bw; max coefficient bit width.
* 6: probe arith-avg-bw; avg coefficient bit width.
* 7: probe is-qflia; true if the goal is in QF_LIA.
* 8: probe is-qfauflia; true if the goal is in QF_AUFLIA.
* 9: probe is-qflra; true if the goal is in QF_LRA.
* 10: probe is-qflira; true if the goal is in QF_LIRA.
* 11: probe is-ilp; true if the goal is ILP.
* 12: probe is-qfnia; true if the goal is in QF_NIA (quantifier-free nonlinear integer arithmetic).
* 13: probe is-qfnra; true if the goal is in QF_NRA (quantifier-free nonlinear real arithmetic).
* 14: probe is-nia; true if the goal is in NIA (nonlinear integer arithmetic, formula may have quantifiers).
* 15: probe is-nra; true if the goal is in NRA (nonlinear real arithmetic, formula may have quantifiers).
* 16: probe is-nira; true if the goal is in NIRA (nonlinear integer and real arithmetic, formula may have quantifiers).
* 17: probe is-lia; true if the goal is in LIA (linear integer arithmetic, formula may have quantifiers).
* 18: probe is-lra; true if the goal is in LRA (linear real arithmetic, formula may have quantifiers).
* 19: probe is-lira; true if the goal is in LIRA (linear integer and real arithmetic, formula may have quantifiers).
* 20: probe is-qfufnra; true if the goal is QF_UFNRA (quantifier-free nonlinear real arithmetic with other theories).
* 21: probe memory; ammount of used memory in megabytes.
* 22: probe depth; depth of the input goal.
* 23: probe size; number of assertions in the given goal.
* 24: probe num-exprs; number of expressions/terms in the given goal.
* 25: probe num-consts; number of non Boolean constants in the given goal.
* 26: probe num-bool-consts; number of Boolean constants in the given goal.
* 27: probe num-arith-consts; number of arithmetic constants in the given goal.
* 28: probe num-bv-consts; number of bit-vector constants in the given goal.
* 29: probe produce-proofs; true if proof generation is enabled for the given goal.
* 30: probe produce-model; true if model generation is enabled for the given goal.
* 31: probe produce-unsat-cores; true if unsat-core generation is enabled for the given goal.
* 32: probe has-patterns; true if the goal contains quantifiers with patterns.
* 33: probe is-propositional; true if the goal is in propositional logic.
* 34: probe is-qfbv; true if the goal is in QF_BV.
* 35: probe is-qfaufbv; true if the goal is in QF_AUFBV.
* 36: probe is-qfbv-eq; true if the goal is in a fragment of QF_BV which uses only =, extract, concat.
* 37: probe is-qffp; true if the goal is in QF_FP (floats).
* 38: probe is-qffpbv; true if the goal is in QF_FPBV (floats+bit-vectors).
*/
}
#endregion Print all Probes
#region Print all Tactics
if (false)
{
for (int i = 0; i < ctx.TacticNames.Length; ++i)
{
Console.WriteLine(i + ": tactic " + ctx.TacticNames[i] + "; " + ctx.TacticDescription(ctx.TacticNames[i]));
}
/*
* 0: tactic qfbv; builtin strategy for solving QF_BV problems.
* 1: tactic qflia; builtin strategy for solving QF_LIA problems.
* 2: tactic qflra; builtin strategy for solving QF_LRA problems.
* 3: tactic qfnia; builtin strategy for solving QF_NIA problems.
* 4: tactic qfnra; builtin strategy for solving QF_NRA problems.
* 5: tactic qfufnra; builtin strategy for solving QF_UNFRA problems.
* 6: tactic add-bounds; add bounds to unbounded variables(under approximation).
* 7: tactic card2bv; convert pseudo-boolean constraints to bit - vectors.
* 8: tactic degree-shift; try to reduce degree of polynomials(remark: :mul2power simplification is automatically applied).
* 9: tactic diff-neq; specialized solver for integer arithmetic problems that contain only atoms of the form(<= k x)(<= x k) and(not(= (-x y) k)), where x and y are constants and k is a numberal, and all constants are bounded.
* 10: tactic elim01; eliminate 0 - 1 integer variables, replace them by Booleans.
* 11: tactic eq2bv; convert integer variables used as finite domain elements to bit-vectors.
* 12: tactic factor; polynomial factorization.
* 13: tactic fix-dl - var; if goal is in the difference logic fragment, then fix the variable with the most number of occurrences at 0.
* 14: tactic fm; eliminate variables using fourier - motzkin elimination.
* 15: tactic lia2card; introduce cardinality constraints from 0 - 1 integer.
* 16: tactic lia2pb; convert bounded integer variables into a sequence of 0 - 1 variables.
* 17: tactic nla2bv; convert a nonlinear arithmetic problem into a bit-vector problem, in most cases the resultant goal is an under approximation and is useul for finding models.
* 18: tactic normalize - bounds; replace a variable x with lower bound k <= x with x' = x - k.
* 19: tactic pb2bv; convert pseudo-boolean constraints to bit - vectors.
* 20: tactic propagate-ineqs; propagate ineqs/ bounds, remove subsumed inequalities.
* 21: tactic purify-arith; eliminate unnecessary operators: -, /, div, mod, rem, is- int, to - int, ^, root - objects.
* 22: tactic recover-01; recover 0 - 1 variables hidden as Boolean variables.
* 23: tactic blast-term-ite; blast term if-then -else by hoisting them.
* 24: tactic cofactor-term-ite; eliminate term if-the -else using cofactors.
* 25: tactic ctx-simplify; apply contextual simplification rules.
* 26: tactic der; destructive equality resolution.
* 27: tactic distribute-forall; distribute forall over conjunctions.
* 28: tactic elim-term-ite; eliminate term if-then -else by adding fresh auxiliary declarations.
* 29: tactic elim-uncnstr; eliminate application containing unconstrained variables.
* 30: tactic snf; put goal in skolem normal form.
* 31: tactic nnf; put goal in negation normal form.
* 32: tactic occf; put goal in one constraint per clause normal form (notes: fails if proof generation is enabled; only clauses are considered).
* 33: tactic pb-preprocess; pre - process pseudo - Boolean constraints a la Davis Putnam.
* 34: tactic propagate-values; propagate constants.
* 35: tactic reduce-args; reduce the number of arguments of function applications, when for all occurrences of a function f the i - th is a value.
* 36: tactic simplify; apply simplification rules.
* 37: tactic elim-and; convert(and a b) into(not(or(not a)(not b))).
* 38: tactic solve-eqs; eliminate variables by solving equations.
* 39: tactic split-clause; split a clause in many subgoals.
* 40: tactic symmetry-reduce; apply symmetry reduction.
* 41: tactic tseitin-cnf; convert goal into CNF using tseitin - like encoding(note: quantifiers are ignored).
* 42: tactic tseitin-cnf-core; convert goal into CNF using tseitin - like encoding(note: quantifiers are ignored).This tactic does not apply required simplifications to the input goal like the tseitin - cnf tactic.
* 43: tactic skip; do nothing tactic.
* 44: tactic fail; always fail tactic.
* 45: tactic fail-if-undecided; fail if goal is undecided.
* 46: tactic bit-blast; reduce bit-vector expressions into SAT.
* 47: tactic bv1-blast; reduce bit-vector expressions into bit - vectors of size 1(notes: only equality, extract and concat are supported).
* 48: tactic reduce-bv-size; try to reduce bit - vector sizes using inequalities.
* 49: tactic max-bv-sharing; use heuristics to maximize the sharing of bit-vector expressions such as adders and multipliers.
* 50: tactic nlsat; (try to) solve goal using a nonlinear arithmetic solver.
* 51: tactic qfnra-nlsat; builtin strategy for solving QF_NRA problems using only nlsat.
* 52: tactic sat; (try to) solve goal using a SAT solver.
* 53: tactic sat-preprocess; Apply SAT solver preprocessing procedures(bounded resolution, Boolean constant propagation, 2 - SAT, subsumption, subsumption resolution).
* 54: tactic ctx-solver-simplify; apply solver-based contextual simplification rules.
* 55: tactic smt; apply a SAT based SMT solver.
* 56: tactic unit-subsume-simplify; unit subsumption simplification.
* 57: tactic aig; simplify Boolean structure using AIGs.
* 58: tactic horn; apply tactic for horn clauses.
* 59: tactic horn-simplify; simplify horn clauses.
* 60: tactic qe-light; apply light-weight quantifier elimination.
* 61: tactic qe-sat; check satisfiability of quantified formulas using quantifier elimination.
* 62: tactic qe; apply quantifier elimination.
* 63: tactic vsubst; checks satsifiability of quantifier-free non - linear constraints using virtual substitution.
* 64: tactic nl-purify; Decompose goal into pure NL-sat formula and formula over other theories.
* 65: tactic macro-finder; Identifies and applies macros.
* 66: tactic quasi-macros; Identifies and applies quasi-macros.
* 67: tactic bv; builtin strategy for solving BV problems(with quantifiers).
* 68: tactic ufbv; builtin strategy for solving UFBV problems(with quantifiers).
* 69: tactic fpa2bv; convert floating point numbers to bit-vectors.
* 70: tactic qffp; (try to) solve goal using the tactic for QF_FP.
* 71: tactic qffpbv; (try to) solve goal using the tactic for QF_FPBV(floats+bit-vectors).
* 72: tactic qfbv-sls; (try to) solve using stochastic local search for QF_BV.
* 73: tactic subpaving; tactic for testing subpaving module.
*/
}
#endregion Print all Tactics
BitVecExpr rax = ctx.MkBVConst("rax", 64);
BitVecExpr rbx = ctx.MkBVConst("rbx", 64);
BoolExpr a1 = ctx.MkEq(rax, ctx.MkBV(0, 64));
BoolExpr a2 = ctx.MkEq(rbx, rax);
Goal goal1 = ctx.MkGoal(true, false, false);
goal1.Assert(a1, a2);
Console.WriteLine("goal1=" + goal1 + "; inconsistent=" + goal1.Inconsistent);
Tactic tactic1 = ctx.MkTactic("simplify");
// Console.WriteLine("tactic1=" + tactic1.ToString());
ApplyResult applyResult = tactic1.Apply(goal1);
Console.WriteLine("applyResult=" + applyResult.ToString() + "; nSubGoals=" + applyResult.NumSubgoals);
// Console.WriteLine("AsBoolExpr=" + goal1.AsBoolExpr());
#region Probe Tests
if (false)
{
Probe probe1 = ctx.MkProbe("is-qfbv");
double d = probe1.Apply(goal1);
Console.WriteLine("d=" + d);
}
#endregion Probe Tests
}
}