Benchmark

non-incremental/QF_NRA/hong/hong_9.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
Size1079
Compressed Size550
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 1071
Compressed Size545
Max. Term Depth10
Asserts 2
Declared Functions0
Declared Constants9
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+8 *17 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.01628 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.01688 0.00700
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.41000 2400.06000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 13.46950 13.46400
SMT-COMP 2015 0.67 (2/6) CVC3 CVC3 default unknown ❌ 0.02218 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.01038 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.00970 0.00800
raSAT raSAT default.sh unknown ❌ 2400.01000 2400.96000
SMT-RAT SMT-RAT-final default unsat ✅ 0.00862 0.00700
Yices2 Yices2-NL default unknown ❌ 2400.01000 2401.01000
Z3 z3 4.4.0 default unsat ✅ 13.33920 13.34200
SMT-COMP 2016 0.20 (4/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01421 0.01137
raSAT raSAT 0.3 default.sh unsat ✅ 0.01273 0.01331
raSAT 0.4 exp - final default.py unsat ✅ 0.04713 0.04577
SMT-RAT SMT-RAT default unsat ✅ 0.01257 0.00826
Yices2 Yices-2.4.2 default unsat ✅ 1794.59000 1795.59000
Z3 z3-4.4.1 default unsat ✅ 13.35270 13.36230
SMT-COMP 2017 0.20 (4/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.04599 0.04438
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.00865 0.00862
veriT veriT+raSAT+Redlog default unsat ✅ 0.01182 0.01132
Yices2 Yices2-Main default unknown ❌ 600.09700 484.86200
Z3 z3-4.5.0 default unsat ✅ 13.59270 13.59140
SMT-COMP 2018 0.20 (4/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.03510 0.03531
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01279 0.01274
SMTRAT-MCSAT-final_default unknown ❌ 1200.07000 1199.97000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01152 0.01151
Yices2 Yices 2.6.0_default unknown ❌ 1200.06000 1200.06000
Z3 z3-4.7.1_default unsat ✅ 13.51080 13.51030
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.13571 0.13626
MathSAT MathSAT-5.6.8_default unsat ✅ 0.12703 0.12446
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.07822 0.07828
Par4 Par4-wrapped-sq_default unsat ✅ 0.15482 0.00794
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01184 0.01144
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01483 0.01486
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01383 0.01132
Z3 z3-4.8.17_default unknown ❌ 1200.09000 1199.88000
Z3++ z3++0715_default unsat ✅ 0.34276 0.33940
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.29282 0.19266
SMTInterpol SMTInterpol unknown ❌ 0.41052 0.40093
SMT-RAT SMT-RAT unsat ✅ 0.24571 0.14535
Yices2 Yices2 unsat ✅ 0.21873 0.11893
Z3alpha Z3-alpha unsat ✅ 4.39546 4.29573