Benchmark

non-incremental/QF_NRA/hong/hong_8.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
Size1029
Compressed Size540
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 1021
Compressed Size535
Max. Term Depth9
Asserts 2
Declared Functions0
Declared Constants8
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+7 *15 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.01588 0.00700
CVC4 CVC4 f7118b2 default unknown ❌ 0.00888 0.00700
raSAT raSAT-main-track-final default.sh unknown ❌ 2398.91000 2400.08000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 1.96386 1.95570
SMT-COMP 2015 0.50 (3/6) CVC3 CVC3 default unknown ❌ 0.00815 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00908 0.00700
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.00910 0.00700
raSAT raSAT default.sh unknown ❌ 2400.01000 2400.99000
SMT-RAT SMT-RAT-final default unsat ✅ 0.00856 0.00500
Yices2 Yices2-NL default unsat ✅ 767.85200 768.16200
Z3 z3 4.4.0 default unsat ✅ 1.96198 1.96270
SMT-COMP 2016 0.20 (4/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01232 0.01059
raSAT raSAT 0.3 default.sh unsat ✅ 0.01121 0.01174
raSAT 0.4 exp - final default.py unsat ✅ 0.04386 0.04390
SMT-RAT SMT-RAT default unsat ✅ 0.01278 0.00785
Yices2 Yices-2.4.2 default unsat ✅ 205.08300 205.21600
Z3 z3-4.4.1 default unsat ✅ 1.94391 1.94614
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.03995 0.03950
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.00897 0.00758
veriT veriT+raSAT+Redlog default unsat ✅ 0.01061 0.01055
Yices2 Yices2-Main default unsat ✅ 210.07200 210.06300
Z3 z3-4.5.0 default unsat ✅ 2.04108 2.04000
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02954 0.02969
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01445 0.01220
SMTRAT-MCSAT-final_default unknown ❌ 1200.06000 1200.00000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01143 0.01141
Yices2 Yices 2.6.0_default unsat ✅ 272.76200 272.73900
Z3 z3-4.7.1_default unsat ✅ 2.02280 2.02263
SMT-COMP 2020 CVC4 CVC4-sq-final_default unsat ✅ 0.03680 0.03714
MathSAT MathSAT5_default.sh unsat ✅ 0.07547 0.07537
Par4 Par4-wrapped-sq_default unsat ✅ 0.04212 0.00872
SMT-RAT smtrat-CDCAC_default unsat ✅ 0.01608 0.01602
smtrat-MCSAT_default unsat ✅ 0.01120 0.01079
veriT veriT+raSAT+Redlog_default unsat ✅ 0.02484 0.02463
Yices2 Yices 2.6.2 bug fix_default unsat ✅ 0.01091 0.01086
Z3 z3-4.8.8_default unsat ✅ 2.02289 2.02262
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.06543 0.06594
NRA-LS cvc5-NRA-LS-sq_default unsat ✅ 0.07277 0.07284
Par4 Par4-wrapped-sq_default unsat ✅ 0.04473 0.00735
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01605 0.01595
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 0.01091 0.00937
Z3alpha z3alpha_default unsat ✅ 2.03360 2.03383
Z3++ z3++0715_default unsat ✅ 0.28433 0.28443
Z3++_sq_0526_default unsat ✅ 0.28962 0.28969
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.24227 0.14277
SMTInterpol SMTInterpol unknown ❌ 0.40228 0.40108
SMT-RAT SMT-RAT unsat ✅ 0.21756 0.11768
Yices2 Yices2 unsat ✅ 0.21639 0.11662
Z3alpha Z3-alpha unsat ✅ 1.82577 1.72666