Benchmark

non-incremental/QF_NRA/hong/hong_20.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
Size1669
Compressed Size659
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 1661
Compressed Size666
Max. Term Depth21
Asserts 2
Declared Functions0
Declared Constants20
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+19 *39 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.02230 0.01400
CVC4 CVC4 f7118b2 default unknown ❌ 0.01755 0.00800
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.02000 2400.02000
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 ❌ 0.01464 0.01400
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.01022 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.00984 0.00700
raSAT raSAT default.sh unknown ❌ 2400.01000 2401.20000
SMT-RAT SMT-RAT-final default unsat ✅ 0.01246 0.01100
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.40000
Z3 z3 4.4.0 default unknown ❌ 81.32650 81.33000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01099 0.01083
raSAT raSAT 0.3 default.sh unsat ✅ 0.33723 0.05445
raSAT 0.4 exp - final default.py unsat ✅ 0.08400 0.11673
SMT-RAT SMT-RAT default unsat ✅ 0.01192 0.01113
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.06000
Z3 z3-4.4.1 default unknown ❌ 86.59790 86.61000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.12848 0.12815
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01502 0.01446
veriT veriT+raSAT+Redlog default unsat ✅ 0.04211 0.04207
Yices2 Yices2-Main default unknown ❌ 600.02300 599.82000
Z3 z3-4.5.0 default unknown ❌ 81.42350 81.38000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.06629 0.06644
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.02177 0.02173
SMTRAT-MCSAT-final_default unknown ❌ 1200.05000 1199.91000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01424 0.01424
Yices2 Yices 2.6.0_default unknown ❌ 1200.12000 1200.09000
Z3 z3-4.7.1_default unknown ❌ 82.35190 82.26000
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.41946 0.41999
MathSAT MathSAT-5.6.8_default unsat ✅ 0.30189 0.30184
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.16153 0.16157
Par4 Par4-wrapped-sq_default unsat ✅ 0.08872 0.00739
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01752 0.01747
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01793 0.01798
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01414 0.01171
Z3 z3-4.8.17_default unknown ❌ 1200.02000 1199.90000
Z3++ z3++0715_default unsat ✅ 0.28399 0.28259
SMT-COMP 2025 0.50 (3/6) cvc5 cvc5 unsat ✅ 0.40478 0.27026
SMTInterpol SMTInterpol unknown ❌ 0.44827 0.43845
SMT-RAT SMT-RAT unsat ✅ 1.17171 1.05678
Yices2 Yices2 unsat ✅ 0.29197 0.16515
Z3alpha Z3-alpha unknown ❌ 1201.00781 4801.29217
Z3 Z3-alpha-base unknown ❌ 1201.30087 1200.97218
z3siri-base unknown ❌ 1201.28206 1200.99236