Benchmark

non-incremental/QF_NRA/hong/hong_17.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
Size1507
Compressed Size631
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 1499
Compressed Size634
Max. Term Depth18
Asserts 2
Declared Functions0
Declared Constants17
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+16 *33 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.02049 0.01200
CVC4 CVC4 f7118b2 default unknown ❌ 0.01720 0.00600
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.61000 2400.08000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 125.51700 125.50000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.01272 0.01200
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.01043 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.00995 0.00800
raSAT raSAT default.sh unknown ❌ 2400.01000 2400.84000
SMT-RAT SMT-RAT-final default unsat ✅ 0.01026 0.00900
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.79000
Z3 z3 4.4.0 default unknown ❌ 82.14840 82.13000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01185 0.01042
raSAT raSAT 0.3 default.sh unsat ✅ 0.03603 0.03661
raSAT 0.4 exp - final default.py unsat ✅ 0.06485 0.08854
SMT-RAT SMT-RAT default unsat ✅ 0.01187 0.00989
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.04000
Z3 z3-4.4.1 default unknown ❌ 80.63140 80.65000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.09663 0.09634
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01852 0.01245
veriT veriT+raSAT+Redlog default unsat ✅ 0.02823 0.02817
Yices2 Yices2-Main default unknown ❌ 600.11200 599.99000
Z3 z3-4.5.0 default unknown ❌ 81.00880 80.97000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.06364 0.06362
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01861 0.01856
SMTRAT-MCSAT-final_default unknown ❌ 1200.03000 1200.07000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01280 0.01279
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.88000
Z3 z3-4.7.1_default unknown ❌ 81.91630 81.90000
SMT-COMP 2019 0.29 (5/7) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.06569 0.06605
CVC4-SymBreak_03_06_2019-wrapped-sq_default unsat ✅ 0.35989 0.36563
MathSAT mathsat-20190601-wrapped-sq_default unsat ✅ 0.22821 0.22821
mathsat-na-20190601-wrapped-sq_default unsat ✅ 0.21950 0.21948
Par4 Par4-wrapped-sq_default unsat ✅ 0.07133 0.00585
SMT-RAT SMTRAT-5-wrapped-sq_default unsat ✅ 0.02208 0.02210
SMTRAT-MCSAT-4-wrapped-sq_default unknown ❌ 2400.05000 2400.07000
veriT veriT+raSAT+Redlog-wrapped-sq_default unsat ✅ 0.01914 0.01923
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.02000 2399.92000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 103.83100 103.80000
z3-4.7.1_default unknown ❌ 88.02150 87.94000
SMT-COMP 2020 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.07807 0.07835
MathSAT MathSAT5_default.sh unsat ✅ 0.20568 0.20564
Par4 Par4-wrapped-sq_default unsat ✅ 0.07242 0.00620
SMT-RAT smtrat-CDCAC_default unsat ✅ 0.18836 0.18830
smtrat-MCSAT_default unsat ✅ 0.01551 0.01545
veriT veriT+raSAT+Redlog_default unsat ✅ 0.03016 0.03018
Yices2 Yices 2.6.2 bug fix_default unsat ✅ 0.01653 0.01113
Z3 z3-4.8.8_default unknown ❌ 1200.10000 1200.05000
SMT-COMP 2021 0.60 (4/10) MathSAT mathsat-5.6.6_default unsat ✅ 0.20866 0.20864
Par4 Par4-wrapped-sq_default unsat ✅ 0.07826 0.00737
SMT-RAT smtrat-MCSAT_default unsat ✅ 0.01896 0.01894
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01724 0.01679
Z3 z3-4.8.11_default unknown ❌ 1200.02000 1199.96000
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.32006 0.32062
MathSAT MathSAT-5.6.8_default unsat ✅ 0.20758 0.20740
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.17866 0.17702
Par4 Par4-wrapped-sq_default unsat ✅ 0.07624 0.00621
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01531 0.01529
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01682 0.01682
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01254 0.01248
Z3 z3-4.8.17_default unknown ❌ 1200.03000 1199.84000
Z3++ z3++0715_default unsat ✅ 0.28032 0.28038
SMT-COMP 2025 0.50 (3/6) cvc5 cvc5 unsat ✅ 0.34369 0.22241
SMTInterpol SMTInterpol unknown ❌ 0.45335 0.42878
SMT-RAT SMT-RAT unsat ✅ 0.37804 0.24270
Yices2 Yices2 unsat ✅ 0.26457 0.14061
Z3alpha Z3-alpha unknown ❌ 1201.00489 4802.08449
Z3 Z3-alpha-base unknown ❌ 1201.31441 1201.03101
z3siri-base unknown ❌ 1201.24656 1201.04197