Benchmark

non-incremental/QF_NRA/hong/hong_13.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
Size1291
Compressed Size587
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 1283
Compressed Size589
Max. Term Depth14
Asserts 2
Declared Functions0
Declared Constants13
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+12 *25 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.01935 0.01000
CVC4 CVC4 f7118b2 default unknown ❌ 0.01846 0.00600
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.02000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 126.21700 126.16000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.01842 0.01000
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.02661 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.02698 0.00800
raSAT raSAT default.sh unknown ❌ 2400.01000 2401.00000
SMT-RAT SMT-RAT-final default unsat ✅ 0.02842 0.00700
Yices2 Yices2-NL default unknown ❌ 2400.03000 2400.50000
Z3 z3 4.4.0 default unknown ❌ 84.12610 84.06000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01269 0.01074
raSAT raSAT 0.3 default.sh unsat ✅ 0.01742 0.01819
raSAT 0.4 exp - final default.py unsat ✅ 0.05331 0.06043
SMT-RAT SMT-RAT default unsat ✅ 0.01206 0.00831
Yices2 Yices-2.4.2 default unknown ❌ 2400.10000 2401.32000
Z3 z3-4.4.1 default unknown ❌ 81.57630 81.57000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.06709 0.06726
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01132 0.01081
veriT veriT+raSAT+Redlog default unsat ✅ 0.01657 0.01616
Yices2 Yices2-Main default unknown ❌ 600.02300 599.99000
Z3 z3-4.5.0 default unknown ❌ 81.00750 80.99000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.04601 0.04626
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01538 0.01534
SMTRAT-MCSAT-final_default unknown ❌ 1200.08000 1200.07000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01181 0.01182
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.91000
Z3 z3-4.7.1_default unknown ❌ 82.81900 82.76000
SMT-COMP 2019 0.29 (5/7) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.05470 0.05503
CVC4-SymBreak_03_06_2019-wrapped-sq_default unsat ✅ 0.31986 0.32528
MathSAT mathsat-20190601-wrapped-sq_default unsat ✅ 0.15052 0.15052
mathsat-na-20190601-wrapped-sq_default unsat ✅ 0.13825 0.13824
Par4 Par4-wrapped-sq_default unsat ✅ 0.05765 0.00579
SMT-RAT SMTRAT-5-wrapped-sq_default unsat ✅ 0.01863 0.01863
SMTRAT-MCSAT-4-wrapped-sq_default unknown ❌ 2400.06000 2399.96000
veriT veriT+raSAT+Redlog-wrapped-sq_default unsat ✅ 0.01727 0.01729
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.08000 2399.65000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 105.53300 105.48000
z3-4.7.1_default unknown ❌ 89.52830 89.47000
SMT-COMP 2021 0.60 (4/10) MathSAT mathsat-5.6.6_default unsat ✅ 0.14864 0.14851
Par4 Par4-wrapped-sq_default unsat ✅ 0.06985 0.00691
SMT-RAT smtrat-MCSAT_default unsat ✅ 0.01524 0.01520
veriT veriT+raSAT+Redlog_default unsat ✅ 0.02171 0.01551
Z3 z3-4.8.11_default unknown ❌ 1200.02000 1199.89000
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.21846 0.21858
MathSAT MathSAT-5.6.8_default unsat ✅ 0.15157 0.15150
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.11440 0.11447
Par4 Par4-wrapped-sq_default unsat ✅ 0.12876 0.00822
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01313 0.01311
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01558 0.01561
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.02563 0.01164
Z3 z3-4.8.17_default unknown ❌ 1200.12000 1200.03000
Z3++ z3++0715_default unsat ✅ 0.28316 0.28320
SMT-COMP 2023 0.14 (6/7) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.11107 0.11155
NRA-LS cvc5-NRA-LS-sq_default unsat ✅ 0.13498 0.13481
Par4 Par4-wrapped-sq_default unsat ✅ 0.06842 0.00620
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.03190 0.03187
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 0.01053 0.00966
Z3alpha z3alpha_default unknown ❌ 1200.04000 1199.96000
Z3++ z3++0715_default unsat ✅ 0.28103 0.28105
Z3++_sq_0526_default unsat ✅ 0.28649 0.28657
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 unsat ✅ 0.27036 0.17120
SMTInterpol SMTInterpol unknown ❌ 0.43879 0.44083
SMT-RAT SMT-RAT unsat ✅ 0.22596 0.12616
Yices2 Yices2 unsat ✅ 0.21707 0.11717
Z3alpha Z3-alpha unknown ❌ 1201.71250 1200.54854