static tactic * mk_quant_preprocessor(ast_manager & m, bool disable_gaussian = false) {
params_ref pull_ite_p;
pull_ite_p.set_bool("pull_cheap_ite", true);
pull_ite_p.set_bool("local_ctx", true);
pull_ite_p.set_uint("local_ctx_limit", 10000000);
params_ref ctx_simp_p;
ctx_simp_p.set_uint("max_depth", 30);
ctx_simp_p.set_uint("max_steps", 5000000);
tactic * solve_eqs;
if (disable_gaussian)
solve_eqs = mk_skip_tactic();
else
solve_eqs = when(mk_not(mk_has_pattern_probe()), mk_solve_eqs_tactic(m));
// remark: investigate if gaussian elimination is useful when patterns are not provided.
return and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
using_params(mk_ctx_simplify_tactic(m), ctx_simp_p),
using_params(mk_simplify_tactic(m), pull_ite_p),
solve_eqs,
mk_elim_uncnstr_tactic(m),
mk_simplify_tactic(m));
}
tactic * mk_qfufbv_tactic(ast_manager & m, params_ref const & p) {
params_ref main_p;
main_p.set_bool(":elim-and", true);
main_p.set_bool(":blast-distinct", true);
tactic * preamble_st = and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
mk_solve_eqs_tactic(m),
mk_elim_uncnstr_tactic(m),
if_no_proofs(if_no_unsat_cores(mk_reduce_args_tactic(m))),
if_no_proofs(if_no_unsat_cores(mk_bv_size_reduction_tactic(m))),
mk_max_bv_sharing_tactic(m)
);
tactic * st = using_params(and_then(preamble_st,
mk_smt_tactic()),
main_p);
//cond(is_qfbv(),
// and_then(mk_bit_blaster(m),
// mk_sat_solver(m)),
// mk_smt_solver())
st->updt_params(p);
return st;
}
tactic * mk_qfauflia_tactic(ast_manager & m, params_ref const & p) {
params_ref main_p;
main_p.set_bool(":elim-and", true);
main_p.set_bool(":som", true);
main_p.set_bool(":sort-store", true);
params_ref ctx_simp_p;
ctx_simp_p.set_uint(":max-depth", 30);
ctx_simp_p.set_uint(":max-steps", 5000000);
params_ref solver_p;
solver_p.set_bool(":array-old-simplifier", false);
tactic * preamble_st = and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
mk_solve_eqs_tactic(m),
mk_elim_uncnstr_tactic(m),
mk_simplify_tactic(m)
);
tactic * st = and_then(using_params(preamble_st, main_p),
using_params(mk_smt_tactic(), solver_p));
st->updt_params(p);
return st;
}
tactic * mk_qfnra_nlsat_tactic(ast_manager & m, params_ref const & p) {
params_ref main_p = p;
main_p.set_bool("elim_and", true);
main_p.set_bool("blast_distinct", true);
params_ref purify_p = p;
purify_p.set_bool("complete", false); // temporary hack, solver does not support uninterpreted functions for encoding (div0 x) applications. So, we replace it application of this kind with an uninterpreted function symbol.
tactic * factor;
if (p.get_bool("factor", true))
factor = mk_factor_tactic(m, p);
else
factor = mk_skip_tactic();
return and_then(and_then(using_params(mk_simplify_tactic(m, p),
main_p),
using_params(mk_purify_arith_tactic(m, p),
purify_p),
mk_propagate_values_tactic(m, p),
mk_solve_eqs_tactic(m, p),
mk_elim_uncnstr_tactic(m, p),
mk_elim_term_ite_tactic(m, p)),
and_then(/* mk_degree_shift_tactic(m, p), */ // may affect full dimensionality detection
factor,
mk_solve_eqs_tactic(m, p),
using_params(mk_simplify_tactic(m, p),
main_p),
mk_tseitin_cnf_core_tactic(m, p),
using_params(mk_simplify_tactic(m, p),
main_p),
mk_nlsat_tactic(m, p)));
}
tactic * mk_qflra_tactic(ast_manager & m, params_ref const & p) {
params_ref pivot_p;
pivot_p.set_bool("arith.greatest_error_pivot", true);
params_ref main_p = p;
main_p.set_bool("elim_and", true);
main_p.set_bool("som", true);
main_p.set_bool("blast_distinct", true);
params_ref ctx_simp_p;
ctx_simp_p.set_uint("max_depth", 30);
ctx_simp_p.set_uint("max_steps", 5000000);
params_ref lhs_p;
lhs_p.set_bool("arith_lhs", true);
lhs_p.set_bool("eq2ineq", true);
params_ref elim_to_real_p;
elim_to_real_p.set_bool("elim_to_real", true);
#if 0
tactic * mip =
and_then(fail_if(mk_produce_proofs_probe()),
fail_if(mk_produce_unsat_cores_probe()),
using_params(and_then(and_then(mk_simplify_tactic(m),
mk_recover_01_tactic(m),
using_params(mk_simplify_tactic(m), elim_to_real_p),
mk_propagate_values_tactic(m)),
using_params(mk_ctx_simplify_tactic(m), ctx_simp_p),
mk_elim_uncnstr_tactic(m),
mk_solve_eqs_tactic(m),
using_params(mk_simplify_tactic(m), lhs_p),
using_params(mk_simplify_tactic(m), elim_to_real_p)
),
main_p),
fail_if(mk_not(mk_is_mip_probe())),
try_for(mk_mip_tactic(m), 30000),
mk_fail_if_undecided_tactic());
#endif
// return using_params(or_else(mip,
// using_params(mk_smt_tactic(m), pivot_p)),
// p);
#if 0
params_ref simplex_0, simplex_1, simplex_2;
simplex_0.set_uint("lp.simplex_strategy", 0);
simplex_1.set_uint("lp.simplex_strategy", 1);
simplex_2.set_uint("lp.simplex_strategy", 2);
return par(using_params(mk_smt_tactic(), simplex_0),
using_params(mk_smt_tactic(), simplex_1),
using_params(mk_smt_tactic(), simplex_2));
#else
return using_params(using_params(mk_smt_tactic(m), pivot_p), p);
#endif
}
tactic * mk_qfnia_premable(ast_manager & m, params_ref const & p_ref) {
params_ref pull_ite_p = p_ref;
pull_ite_p.set_bool(":pull-cheap-ite", true);
pull_ite_p.set_bool(":local-ctx", true);
pull_ite_p.set_uint(":local-ctx-limit", 10000000);
params_ref ctx_simp_p = p_ref;
ctx_simp_p.set_uint(":max-depth", 30);
ctx_simp_p.set_uint(":max-steps", 5000000);
params_ref simp_p = p_ref;
simp_p.set_bool(":hoist-mul", true);
params_ref elim_p = p_ref;
elim_p.set_uint(":max-memory",20);
return
and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
using_params(mk_ctx_simplify_tactic(m), ctx_simp_p),
using_params(mk_simplify_tactic(m), pull_ite_p),
mk_elim_uncnstr_tactic(m),
skip_if_failed(using_params(mk_cofactor_term_ite_tactic(m), elim_p)),
using_params(mk_simplify_tactic(m), simp_p));
}
tactic * mk_qfauflia_tactic(ast_manager & m, params_ref const & p) {
params_ref main_p;
main_p.set_bool("elim_and", true);
main_p.set_bool("som", true);
main_p.set_bool("sort_store", true);
params_ref ctx_simp_p;
ctx_simp_p.set_uint("max_depth", 30);
ctx_simp_p.set_uint("max_steps", 5000000);
params_ref solver_p;
solver_p.set_bool("array.simplify", false); // disable array simplifications at old_simplify module
tactic * preamble_st = and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
mk_solve_eqs_tactic(m),
mk_elim_uncnstr_tactic(m),
mk_simplify_tactic(m)
);
tactic * st = and_then(using_params(preamble_st, main_p),
using_params(mk_smt_tactic(), solver_p));
st->updt_params(p);
return st;
}
tactic * mk_qflia_tactic(ast_manager & m, params_ref const & p) {
params_ref main_p;
main_p.set_bool("elim_and", true);
main_p.set_bool("som", true);
main_p.set_bool("blast_distinct", true);
main_p.set_uint("blast_distinct_threshold", 128);
// main_p.set_bool("push_ite_arith", true);
params_ref pull_ite_p;
pull_ite_p.set_bool("pull_cheap_ite", true);
pull_ite_p.set_bool("push_ite_arith", false);
pull_ite_p.set_bool("local_ctx", true);
pull_ite_p.set_uint("local_ctx_limit", 10000000);
params_ref ctx_simp_p;
ctx_simp_p.set_uint("max_depth", 30);
ctx_simp_p.set_uint("max_steps", 5000000);
params_ref lhs_p;
lhs_p.set_bool("arith_lhs", true);
tactic * preamble_st = and_then(and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
using_params(mk_ctx_simplify_tactic(m), ctx_simp_p),
using_params(mk_simplify_tactic(m), pull_ite_p)),
mk_solve_eqs_tactic(m),
mk_elim_uncnstr_tactic(m),
using_params(mk_simplify_tactic(m), lhs_p)
);
params_ref quasi_pb_p;
quasi_pb_p.set_uint("lia2pb_max_bits", 64);
params_ref no_cut_p;
no_cut_p.set_uint("arith.branch_cut_ratio", 10000000);
tactic * st = using_params(and_then(preamble_st,
or_else(mk_ilp_model_finder_tactic(m),
mk_pb_tactic(m),
and_then(fail_if_not(mk_quasi_pb_probe()),
using_params(mk_lia2sat_tactic(m), quasi_pb_p),
mk_fail_if_undecided_tactic()),
mk_bounded_tactic(m),
mk_smt_tactic())),
main_p);
st->updt_params(p);
return st;
}
tactic * mk_qflia_tactic(ast_manager & m, params_ref const & p) {
params_ref main_p;
main_p.set_bool(":elim-and", true);
main_p.set_bool(":som", true);
// main_p.set_bool(":push-ite-arith", true);
params_ref pull_ite_p;
pull_ite_p.set_bool(":pull-cheap-ite", true);
pull_ite_p.set_bool(":push-ite-arith", false);
pull_ite_p.set_bool(":local-ctx", true);
pull_ite_p.set_uint(":local-ctx-limit", 10000000);
params_ref ctx_simp_p;
ctx_simp_p.set_uint(":max-depth", 30);
ctx_simp_p.set_uint(":max-steps", 5000000);
params_ref lhs_p;
lhs_p.set_bool(":arith-lhs", true);
tactic * preamble_st = and_then(and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
using_params(mk_ctx_simplify_tactic(m), ctx_simp_p),
using_params(mk_simplify_tactic(m), pull_ite_p)),
mk_solve_eqs_tactic(m),
mk_elim_uncnstr_tactic(m),
using_params(mk_simplify_tactic(m), lhs_p)
);
params_ref quasi_pb_p;
quasi_pb_p.set_uint(":lia2pb-max-bits", 64);
params_ref no_cut_p;
no_cut_p.set_uint(":arith-branch-cut-ratio", 10000000);
tactic * st = using_params(and_then(preamble_st,
or_else(mk_ilp_model_finder_tactic(m),
mk_pb_tactic(m),
and_then(fail_if_not(mk_quasi_pb_probe()),
using_params(mk_lia2sat_tactic(m), quasi_pb_p),
mk_fail_if_undecided_tactic()),
mk_bounded_tactic(m),
mk_smt_tactic())),
main_p);
st->updt_params(p);
return st;
}
static tactic * mk_qfaufbv_preamble(ast_manager & m, params_ref const & p) {
params_ref simp2_p = p;
simp2_p.set_bool("som", true);
simp2_p.set_bool("pull_cheap_ite", true);
simp2_p.set_bool("push_ite_bv", false);
simp2_p.set_bool("local_ctx", true);
simp2_p.set_uint("local_ctx_limit", 10000000);
return and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
mk_solve_eqs_tactic(m),
mk_elim_uncnstr_tactic(m),
// sound to use? if_no_proofs(if_no_unsat_cores(mk_reduce_args_tactic(m))),
if_no_proofs(if_no_unsat_cores(mk_bv_size_reduction_tactic(m))),
using_params(mk_simplify_tactic(m), simp2_p),
mk_max_bv_sharing_tactic(m),
if_no_proofs(if_no_unsat_cores(mk_ackermannize_bv_tactic(m, p)))
);
}
static tactic * mk_qfbv_preamble(ast_manager& m, params_ref const& p) {
params_ref solve_eq_p;
// conservative guassian elimination.
solve_eq_p.set_uint("solve_eqs_max_occs", 2);
params_ref simp2_p = p;
simp2_p.set_bool("som", true);
simp2_p.set_bool("pull_cheap_ite", true);
simp2_p.set_bool("push_ite_bv", false);
simp2_p.set_bool("local_ctx", true);
simp2_p.set_uint("local_ctx_limit", 10000000);
simp2_p.set_bool("flat", true); // required by som
simp2_p.set_bool("hoist_mul", false); // required by som
params_ref hoist_p;
hoist_p.set_bool("hoist_mul", true);
hoist_p.set_bool("som", false);
return
and_then(
mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
using_params(mk_solve_eqs_tactic(m), solve_eq_p),
mk_elim_uncnstr_tactic(m),
if_no_proofs(if_no_unsat_cores(mk_bv_size_reduction_tactic(m))),
using_params(mk_simplify_tactic(m), simp2_p),
//
// Z3 can solve a couple of extra benchmarks by using hoist_mul
// but the timeout in SMT-COMP is too small.
// Moreover, it impacted negatively some easy benchmarks.
// We should decide later, if we keep it or not.
//
using_params(mk_simplify_tactic(m), hoist_p),
mk_max_bv_sharing_tactic(m),
if_no_proofs(if_no_unsat_cores(mk_ackermannize_bv_tactic(m,p)))
);
}
static tactic * mk_qfnia_premable(ast_manager & m, params_ref const & p_ref) {
params_ref pull_ite_p = p_ref;
pull_ite_p.set_bool("pull_cheap_ite", true);
pull_ite_p.set_bool("local_ctx", true);
pull_ite_p.set_uint("local_ctx_limit", 10000000);
params_ref ctx_simp_p = p_ref;
ctx_simp_p.set_uint("max_depth", 30);
ctx_simp_p.set_uint("max_steps", 5000000);
params_ref elim_p = p_ref;
elim_p.set_uint("max_memory",20);
return
and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
using_params(mk_ctx_simplify_tactic(m), ctx_simp_p),
using_params(mk_simplify_tactic(m), pull_ite_p),
mk_elim_uncnstr_tactic(m),
mk_lia2card_tactic(m),
skip_if_failed(using_params(mk_cofactor_term_ite_tactic(m), elim_p)));
}
tactic * mk_qfidl_tactic(ast_manager & m, params_ref const & p) {
params_ref main_p;
main_p.set_bool("elim_and", true);
main_p.set_bool("blast_distinct", true);
main_p.set_bool("som", true);
params_ref lhs_p;
lhs_p.set_bool("arith_lhs", true);
params_ref lia2pb_p;
lia2pb_p.set_uint("lia2pb_max_bits", 4);
params_ref pb2bv_p;
pb2bv_p.set_uint("pb2bv_all_clauses_limit", 8);
params_ref pull_ite_p;
pull_ite_p.set_bool("pull_cheap_ite", true);
pull_ite_p.set_bool("local_ctx", true);
pull_ite_p.set_uint("local_ctx_limit", 10000000);
tactic * preamble_st = and_then(and_then(mk_simplify_tactic(m),
mk_fix_dl_var_tactic(m),
mk_propagate_values_tactic(m),
mk_elim_uncnstr_tactic(m)
),
and_then(mk_solve_eqs_tactic(m),
using_params(mk_simplify_tactic(m), lhs_p),
mk_propagate_values_tactic(m),
mk_normalize_bounds_tactic(m),
mk_solve_eqs_tactic(m)));
params_ref bv_solver_p;
// The cardinality constraint encoding generates a lot of shared if-then-else's that can be flattened.
// Several of them are simplified to and/or. If we flat them, we increase a lot the memory consumption.
bv_solver_p.set_bool("flat", false);
bv_solver_p.set_bool("som", false);
// dynamic psm seems to work well.
bv_solver_p.set_sym("gc", symbol("dyn_psm"));
tactic * bv_solver = using_params(and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
mk_solve_eqs_tactic(m),
mk_max_bv_sharing_tactic(m),
mk_bit_blaster_tactic(m),
mk_aig_tactic(),
mk_sat_tactic(m)),
bv_solver_p);
tactic * try2bv =
and_then(using_params(mk_lia2pb_tactic(m), lia2pb_p),
mk_propagate_ineqs_tactic(m),
using_params(mk_pb2bv_tactic(m), pb2bv_p),
fail_if(mk_not(mk_is_qfbv_probe())),
bv_solver);
params_ref diff_neq_p;
diff_neq_p.set_uint("diff_neq_max_k", 25);
tactic * st = cond(mk_and(mk_lt(mk_num_consts_probe(), mk_const_probe(static_cast<double>(BIG_PROBLEM))),
mk_and(mk_not(mk_produce_proofs_probe()),
mk_not(mk_produce_unsat_cores_probe()))),
using_params(and_then(preamble_st,
or_else(using_params(mk_diff_neq_tactic(m), diff_neq_p),
try2bv,
mk_smt_tactic())),
main_p),
mk_smt_tactic());
st->updt_params(p);
return st;
}
tactic * mk_qfbv_tactic(ast_manager & m, params_ref const & p) {
params_ref main_p;
main_p.set_bool("elim_and", true);
main_p.set_bool("push_ite_bv", true);
main_p.set_bool("blast_distinct", true);
params_ref simp2_p = p;
simp2_p.set_bool("som", true);
simp2_p.set_bool("pull_cheap_ite", true);
simp2_p.set_bool("push_ite_bv", false);
simp2_p.set_bool("local_ctx", true);
simp2_p.set_uint("local_ctx_limit", 10000000);
simp2_p.set_bool("flat", true); // required by som
simp2_p.set_bool("hoist_mul", false); // required by som
params_ref local_ctx_p = p;
local_ctx_p.set_bool("local_ctx", true);
params_ref solver_p;
solver_p.set_bool("preprocess", false); // preprocessor of smt::context is not needed.
params_ref no_flat_p;
no_flat_p.set_bool("flat", false);
params_ref ctx_simp_p;
ctx_simp_p.set_uint("max_depth", 32);
ctx_simp_p.set_uint("max_steps", 50000000);
params_ref hoist_p;
hoist_p.set_bool("hoist_mul", true);
hoist_p.set_bool("som", false);
params_ref solve_eq_p;
// conservative guassian elimination.
solve_eq_p.set_uint("solve_eqs_max_occs", 2);
params_ref big_aig_p;
big_aig_p.set_bool("aig_per_assertion", false);
tactic * preamble_st = and_then(and_then(mk_simplify_tactic(m),
mk_propagate_values_tactic(m),
using_params(mk_solve_eqs_tactic(m), solve_eq_p),
mk_elim_uncnstr_tactic(m),
if_no_proofs(if_no_unsat_cores(mk_bv_size_reduction_tactic(m))),
using_params(mk_simplify_tactic(m), simp2_p)),
// Z3 can solve a couple of extra benchmarks by using hoist_mul
// but the timeout in SMT-COMP is too small.
// Moreover, it impacted negatively some easy benchmarks.
// We should decide later, if we keep it or not.
using_params(mk_simplify_tactic(m), hoist_p),
mk_max_bv_sharing_tactic(m));
#ifdef USE_OLD_SAT_SOLVER
tactic * new_sat = and_then(mk_simplify_tactic(m),
mk_smt_tactic());
#else
tactic * new_sat = cond(mk_or(mk_produce_proofs_probe(), mk_produce_unsat_cores_probe()),
and_then(mk_simplify_tactic(m),
mk_smt_tactic()),
mk_sat_tactic(m));
#endif
tactic * st = using_params(and_then(preamble_st,
// If the user sets HI_DIV0=false, then the formula may contain uninterpreted function
// symbols. In this case, we should not use
cond(mk_is_qfbv_probe(),
cond(mk_is_qfbv_eq_probe(),
and_then(mk_bv1_blaster_tactic(m),
using_params(mk_smt_tactic(), solver_p)),
and_then(mk_bit_blaster_tactic(m),
when(mk_lt(mk_memory_probe(), mk_const_probe(MEMLIMIT)),
and_then(using_params(and_then(mk_simplify_tactic(m),
mk_solve_eqs_tactic(m)),
local_ctx_p),
if_no_proofs(cond(mk_produce_unsat_cores_probe(),
mk_aig_tactic(),
using_params(mk_aig_tactic(),
big_aig_p))))),
new_sat)),
mk_smt_tactic())),
main_p);
st->updt_params(p);
return st;
}