Benchmark

non-incremental/QF_NRA/hong/hong_14.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
Size1345
Compressed Size599
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 1337
Compressed Size600
Max. Term Depth15
Asserts 2
Declared Functions0
Declared Constants14
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+13 *27 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.01888 0.01100
CVC4 CVC4 f7118b2 default unknown ❌ 0.01715 0.00700
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.05000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 125.71700 125.70000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.01122 0.01100
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00924 0.00700
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01025 0.00800
raSAT raSAT default.sh unknown ❌ 2400.01000 2401.02000
SMT-RAT SMT-RAT-final default unsat ✅ 0.00873 0.00800
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.79000
Z3 z3 4.4.0 default unknown ❌ 81.72630 81.73000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01202 0.01014
raSAT raSAT 0.3 default.sh unsat ✅ 0.02646 0.02732
raSAT 0.4 exp - final default.py unsat ✅ 0.05338 0.06880
SMT-RAT SMT-RAT default unsat ✅ 0.01328 0.00978
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.18000
Z3 z3-4.4.1 default unknown ❌ 81.09600 81.04000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.08028 0.07750
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01167 0.01115
veriT veriT+raSAT+Redlog default unsat ✅ 0.02458 0.01833
Yices2 Yices2-Main default unknown ❌ 600.01200 599.92000
Z3 z3-4.5.0 default unknown ❌ 81.31880 81.29000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.04532 0.04551
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01595 0.01590
SMTRAT-MCSAT-final_default unknown ❌ 1200.11000 1200.07000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01341 0.01340
Yices2 Yices 2.6.0_default unknown ❌ 1200.11000 1199.92000
Z3 z3-4.7.1_default unknown ❌ 81.32250 81.30000
SMT-COMP 2019 0.29 (5/7) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.05045 0.05073
CVC4-SymBreak_03_06_2019-wrapped-sq_default unsat ✅ 0.33113 0.33685
MathSAT mathsat-20190601-wrapped-sq_default unsat ✅ 0.18319 0.18317
mathsat-na-20190601-wrapped-sq_default unsat ✅ 0.16680 0.16681
Par4 Par4-wrapped-sq_default unsat ✅ 0.06038 0.00593
SMT-RAT SMTRAT-5-wrapped-sq_default unsat ✅ 0.01965 0.01963
SMTRAT-MCSAT-4-wrapped-sq_default unknown ❌ 2400.09000 2399.56000
veriT veriT+raSAT+Redlog-wrapped-sq_default unsat ✅ 0.01866 0.01872
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.02000 2399.75000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 104.29300 104.19000
z3-4.7.1_default unknown ❌ 88.82060 88.77000
SMT-COMP 2020 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.05811 0.05839
MathSAT MathSAT5_default.sh unsat ✅ 0.16034 0.16029
Par4 Par4-wrapped-sq_default unsat ✅ 0.05765 0.00647
SMT-RAT smtrat-CDCAC_default unsat ✅ 0.04311 0.04308
smtrat-MCSAT_default unsat ✅ 0.01649 0.01393
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01551 0.01554
Yices2 Yices 2.6.2 bug fix_default unsat ✅ 0.01303 0.01087
Z3 z3-4.8.8_default unknown ❌ 1200.02000 1199.94000
SMT-COMP 2021 0.60 (4/10) MathSAT mathsat-5.6.6_default unsat ✅ 0.15366 0.15363
Par4 Par4-wrapped-sq_default unsat ✅ 0.06544 0.00694
SMT-RAT smtrat-MCSAT_default unsat ✅ 0.01590 0.01590
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01562 0.01563
Z3 z3-4.8.11_default unknown ❌ 1200.02000 1200.03000
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 unsat ✅ 0.29896 0.19960
SMTInterpol SMTInterpol unknown ❌ 0.40447 0.41090
SMT-RAT SMT-RAT unsat ✅ 0.23206 0.13246
Yices2 Yices2 unsat ✅ 0.25134 0.15127
Z3alpha Z3-alpha unknown ❌ 1201.72888 1200.78682