Benchmark

non-incremental/QF_NRA/hong/hong_6.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
Size929
Compressed Size517
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 921
Compressed Size515
Max. Term Depth7
Asserts 2
Declared Functions0
Declared Constants6
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+5 *11 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.01494 0.00600
CVC4 CVC4 f7118b2 default unknown ❌ 0.01670 0.00600
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.07000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.14439 0.13498
SMT-COMP 2015 0.50 (3/6) CVC3 CVC3 default unknown ❌ 0.00820 0.00600
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00861 0.00700
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01707 0.00700
raSAT raSAT default.sh unknown ❌ 2400.01000 2401.00000
SMT-RAT SMT-RAT-final default unsat ✅ 0.00829 0.00400
Yices2 Yices2-NL default unsat ✅ 14.29910 14.30080
Z3 z3 4.4.0 default unsat ✅ 0.15673 0.15698
SMT-COMP 2016 0.20 (4/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01363 0.01051
raSAT raSAT 0.3 default.sh unsat ✅ 0.01154 0.00715
raSAT 0.4 exp - final default.py unsat ✅ 0.04353 0.03950
SMT-RAT SMT-RAT default unsat ✅ 0.01277 0.00920
Yices2 Yices-2.4.2 default unsat ✅ 8.76012 8.76525
Z3 z3-4.4.1 default unsat ✅ 0.15532 0.15701
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.03270 0.03142
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.00980 0.00911
veriT veriT+raSAT+Redlog default unsat ✅ 0.00916 0.00900
Yices2 Yices2-Main default unsat ✅ 8.87211 8.86850
Z3 z3-4.5.0 default unsat ✅ 0.17013 0.16951
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02419 0.02435
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01005 0.00995
SMTRAT-MCSAT-final_default unknown ❌ 1200.03000 1199.88000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01212 0.01212
Yices2 Yices 2.6.0_default unsat ✅ 16.49790 16.49630
Z3 z3-4.7.1_default unsat ✅ 0.17265 0.17262
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.09225 0.09194
MathSAT MathSAT-5.6.8_default unsat ✅ 0.05421 0.05416
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.04993 0.04999
Par4 Par4-wrapped-sq_default unsat ✅ 0.04980 0.00693
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01200 0.01009
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01440 0.01443
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01764 0.01666
Z3 z3-4.8.17_default unsat ✅ 0.15452 0.15640
Z3++ z3++0715_default unsat ✅ 0.27859 0.27865
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.25146 0.15190
SMTInterpol SMTInterpol unknown ❌ 0.40775 0.41025
SMT-RAT SMT-RAT unsat ✅ 0.22888 0.12897
Yices2 Yices2 unsat ✅ 0.21718 0.11777
Z3alpha Z3-alpha unsat ✅ 0.34582 0.24619