Benchmark

non-incremental/QF_NRA/hong/hong_7.smt2

These benchmarks used in the paper:

  Dejan Jovanovic and Leonardo de Moura.  Solving Non-Linear Arithmetic.
  In IJCAR 2012, published as LNCS volume 7364, pp. 339--354.

The hong family is a set of crafted benchmarks, a parametrized
generalization of the problem of Hong, sum x_i^2 < 1 and prod x_i > 1.
See:

  H. Hong.  Comparison of several decision algorithms for the existential
  theory of the reals.  1991.

Submitted by Dejan Jovanvic for SMT-LIB.
Benchmark
Size979
Compressed Size528
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categorycrafted
First Occurrence2014-07-21
Generated By
Generated On
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 971
Compressed Size526
Max. Term Depth8
Asserts 2
Declared Functions0
Declared Constants7
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+6 *13 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.01518 0.00700
CVC4 CVC4 f7118b2 default unknown ❌ 0.01634 0.00600
raSAT raSAT-main-track-final default.sh unknown ❌ 2398.91000 2400.06000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.54688 0.53892
SMT-COMP 2015 0.50 (3/6) CVC3 CVC3 default unknown ❌ 0.00830 0.00700
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00896 0.00700
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.00907 0.00700
raSAT raSAT default.sh unknown ❌ 2400.01000 2400.77000
SMT-RAT SMT-RAT-final default unsat ✅ 0.00874 0.00500
Yices2 Yices2-NL default unsat ✅ 132.65600 132.71300
Z3 z3 4.4.0 default unsat ✅ 0.55043 0.55092
SMT-COMP 2016 0.20 (4/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01213 0.00967
raSAT raSAT 0.3 default.sh unsat ✅ 0.01300 0.01034
raSAT 0.4 exp - final default.py unsat ✅ 0.04355 0.04174
SMT-RAT SMT-RAT default unsat ✅ 0.01255 0.00685
Yices2 Yices-2.4.2 default unsat ✅ 38.42600 38.44840
Z3 z3-4.4.1 default unsat ✅ 0.55183 0.55348
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.03519 0.03493
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01075 0.00796
veriT veriT+raSAT+Redlog default unsat ✅ 0.01079 0.00966
Yices2 Yices2-Main default unsat ✅ 48.58030 48.57890
Z3 z3-4.5.0 default unsat ✅ 0.59427 0.59007
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02974 0.02990
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01064 0.01056
SMTRAT-MCSAT-final_default unknown ❌ 1200.05000 1200.04000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01082 0.01080
Yices2 Yices 2.6.0_default unsat ✅ 47.26930 47.26790
Z3 z3-4.7.1_default unsat ✅ 0.58583 0.58570
SMT-COMP 2019 CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.03413 0.03444
CVC4-SymBreak_03_06_2019-wrapped-sq_default unsat ✅ 0.26536 0.27110
MathSAT mathsat-20190601-wrapped-sq_default unsat ✅ 0.06571 0.06572
mathsat-na-20190601-wrapped-sq_default unsat ✅ 0.06693 0.06694
Par4 Par4-wrapped-sq_default unsat ✅ 0.04260 0.00798
SMT-RAT SMTRAT-5-wrapped-sq_default unsat ✅ 0.01427 0.01430
SMTRAT-MCSAT-4-wrapped-sq_default unsat ✅ 177.31300 177.29500
veriT veriT+raSAT+Redlog-wrapped-sq_default unsat ✅ 0.01675 0.01683
Yices2 Yices 2.6.2-wrapped-sq_default unsat ✅ 79.04010 79.03900
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.52031 0.52041
z3-4.7.1_default unsat ✅ 0.58504 0.58499
SMT-COMP 2020 CVC4 CVC4-sq-final_default unsat ✅ 0.03539 0.03569
MathSAT MathSAT5_default.sh unsat ✅ 0.06608 0.06602
Par4 Par4-wrapped-sq_default unsat ✅ 0.04125 0.00597
SMT-RAT smtrat-CDCAC_default unsat ✅ 0.01461 0.01453
smtrat-MCSAT_default unsat ✅ 0.01155 0.01024
veriT veriT+raSAT+Redlog_default unsat ✅ 0.02564 0.02556
Yices2 Yices 2.6.2 bug fix_default unsat ✅ 0.01109 0.01038
Z3 z3-4.8.8_default unsat ✅ 0.51629 0.51627
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.25908 0.16001
SMTInterpol SMTInterpol unknown ❌ 0.40876 0.41254
SMT-RAT SMT-RAT unsat ✅ 0.21868 0.11878
Yices2 Yices2 unsat ✅ 0.21770 0.11793
Z3alpha Z3-alpha unsat ✅ 0.55908 0.45961
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 unsat ✅ 0.31015 0.18543
SMTInterpol SMTInterpol unknown ❌ 0.43897 0.39590
SMT-RAT SMT-RAT unsat ✅ 0.28653 0.15815
Yices2 Yices2 unsat ✅ 0.29401 0.16900
Z3alpha Z3-alpha unsat ✅ 0.98362 2.10230
Z3 Z3-alpha-base unsat ✅ 0.52336 0.40271
z3siri-base unsat ✅ 0.53851 0.41579