Benchmark

non-incremental/QF_NRA/hong/hong_12.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
Size1237
Compressed Size577
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 1229
Compressed Size579
Max. Term Depth13
Asserts 2
Declared Functions0
Declared Constants12
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+11 *23 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.01800 0.01000
CVC4 CVC4 f7118b2 default unknown ❌ 0.00906 0.00700
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.02000 2400.09000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.62000 2400.03000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.00996 0.00900
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00942 0.00700
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.00941 0.00700
raSAT raSAT default.sh unknown ❌ 2400.01000 2401.19000
SMT-RAT SMT-RAT-final default unsat ✅ 0.00842 0.00700
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.67000
Z3 z3 4.4.0 default unknown ❌ 82.42600 82.43000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01557 0.01036
raSAT raSAT 0.3 default.sh unsat ✅ 0.02042 0.02135
raSAT 0.4 exp - final default.py unsat ✅ 0.05396 0.06310
SMT-RAT SMT-RAT default unsat ✅ 0.01137 0.00776
Yices2 Yices-2.4.2 default unknown ❌ 2400.03000 2401.15000
Z3 z3-4.4.1 default unknown ❌ 80.60360 80.58000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.06461 0.06479
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01168 0.01076
veriT veriT+raSAT+Redlog default unsat ✅ 0.01494 0.01437
Yices2 Yices2-Main default unknown ❌ 600.02100 599.75000
Z3 z3-4.5.0 default unknown ❌ 81.87800 81.84000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.03933 0.03949
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01467 0.01465
SMTRAT-MCSAT-final_default unknown ❌ 1200.03000 1199.89000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01162 0.01163
Yices2 Yices 2.6.0_default unknown ❌ 1200.02000 1199.87000
Z3 z3-4.7.1_default unknown ❌ 80.41680 80.19000
SMT-COMP 2020 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.05168 0.05196
MathSAT MathSAT5_default.sh unsat ✅ 0.15770 0.15571
Par4 Par4-wrapped-sq_default unsat ✅ 0.05380 0.00944
SMT-RAT smtrat-CDCAC_default unsat ✅ 0.02566 0.02513
smtrat-MCSAT_default unsat ✅ 0.01304 0.01299
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01512 0.01512
Yices2 Yices 2.6.2 bug fix_default unsat ✅ 0.01131 0.01106
Z3 z3-4.8.8_default unknown ❌ 1200.02000 1199.88000
SMT-COMP 2021 0.60 (4/10) MathSAT mathsat-5.6.6_default unsat ✅ 0.12408 0.12405
Par4 Par4-wrapped-sq_default unsat ✅ 0.05300 0.00684
SMT-RAT smtrat-MCSAT_default unsat ✅ 0.01478 0.01473
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01518 0.01522
Z3 z3-4.8.11_default unknown ❌ 1200.02000 1199.96000