Benchmark

non-incremental/QF_NRA/hong/hong_19.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
Size1615
Compressed Size648
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 1607
Compressed Size656
Max. Term Depth20
Asserts 2
Declared Functions0
Declared Constants19
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+18 *37 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.02723 0.01400
CVC4 CVC4 f7118b2 default unknown ❌ 0.02365 0.00700
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.21000 2400.06000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 126.11700 126.05000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.01389 0.01300
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00997 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01001 0.00800
raSAT raSAT default.sh unknown ❌ 2400.01000 2401.10000
SMT-RAT SMT-RAT-final default unsat ✅ 0.01100 0.01000
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.85000
Z3 z3 4.4.0 default unknown ❌ 83.33400 83.32000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01200 0.01207
raSAT raSAT 0.3 default.sh unsat ✅ 0.06115 0.06165
raSAT 0.4 exp - final default.py unsat ✅ 0.09458 0.13417
SMT-RAT SMT-RAT default unsat ✅ 0.01167 0.01058
Yices2 Yices-2.4.2 default unknown ❌ 2400.06000 2401.21000
Z3 z3-4.4.1 default unknown ❌ 81.08440 81.06000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.11493 0.11521
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01486 0.01409
veriT veriT+raSAT+Redlog default unsat ✅ 0.03706 0.03713
Yices2 Yices2-Main default unknown ❌ 600.02000 599.73000
Z3 z3-4.5.0 default unknown ❌ 80.81730 80.77000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.06861 0.06880
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.02105 0.02100
SMTRAT-MCSAT-final_default unknown ❌ 1200.01000 1199.95000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01367 0.01362
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.92000
Z3 z3-4.7.1_default unknown ❌ 84.26550 84.24000
SMT-COMP 2019 0.29 (5/7) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.07487 0.07523
CVC4-SymBreak_03_06_2019-wrapped-sq_default unsat ✅ 0.39499 0.40076
MathSAT mathsat-20190601-wrapped-sq_default unsat ✅ 0.27953 0.27949
mathsat-na-20190601-wrapped-sq_default unsat ✅ 0.24107 0.24105
Par4 Par4-wrapped-sq_default unsat ✅ 0.08486 0.01003
SMT-RAT SMTRAT-5-wrapped-sq_default unsat ✅ 0.02419 0.02417
SMTRAT-MCSAT-4-wrapped-sq_default unknown ❌ 2400.07000 2399.88000
veriT veriT+raSAT+Redlog-wrapped-sq_default unsat ✅ 0.01816 0.01824
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.02000 2399.41000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 103.56200 103.44000
z3-4.7.1_default unknown ❌ 88.16140 88.07000
SMT-COMP 2020 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.08815 0.08842
MathSAT MathSAT5_default.sh unsat ✅ 0.25389 0.25384
Par4 Par4-wrapped-sq_default unsat ✅ 0.08281 0.00758
SMT-RAT smtrat-CDCAC_default unsat ✅ 0.78871 0.78871
smtrat-MCSAT_default unsat ✅ 0.01699 0.01695
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01660 0.01662
Yices2 Yices 2.6.2 bug fix_default unsat ✅ 0.01322 0.01172
Z3 z3-4.8.8_default unknown ❌ 1200.01000 1199.90000
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.37743 0.37798
MathSAT MathSAT-5.6.8_default unsat ✅ 0.31446 0.31000
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.17147 0.17154
Par4 Par4-wrapped-sq_default unsat ✅ 0.08535 0.00815
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.02246 0.01657
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01826 0.01830
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01170 0.01164
Z3 z3-4.8.17_default unknown ❌ 1200.02000 1200.00000
Z3++ z3++0715_default unsat ✅ 0.28213 0.28214