Benchmark

non-incremental/QF_NRA/hong/hong_11.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
Size1183
Compressed Size571
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 1175
Compressed Size567
Max. Term Depth12
Asserts 2
Declared Functions0
Declared Constants11
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+10 *21 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.02492 0.00900
CVC4 CVC4 f7118b2 default unknown ❌ 0.01654 0.00600
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.06000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.13000 2400.04000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.00966 0.00900
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00971 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.00933 0.00600
raSAT raSAT default.sh unknown ❌ 2400.03000 2400.76000
SMT-RAT SMT-RAT-final default unsat ✅ 0.00838 0.00600
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.75000
Z3 z3 4.4.0 default unknown ❌ 2400.02000 2401.08000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01158 0.00988
raSAT raSAT 0.3 default.sh unsat ✅ 0.01381 0.01427
raSAT 0.4 exp - final default.py unsat ✅ 0.04383 0.04726
SMT-RAT SMT-RAT default unsat ✅ 0.01263 0.00858
Yices2 Yices-2.4.2 default unknown ❌ 2400.01000 2401.36000
Z3 z3-4.4.1 default unknown ❌ 2400.03000 2401.56000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.06305 0.05780
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01070 0.01008
veriT veriT+raSAT+Redlog default unsat ✅ 0.01424 0.01361
Yices2 Yices2-Main default unknown ❌ 600.01100 599.91600
Z3 z3-4.5.0 default unknown ❌ 600.02000 600.02000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.04156 0.04177
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01374 0.01370
SMTRAT-MCSAT-final_default unknown ❌ 1200.05000 1200.06000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01442 0.01172
Yices2 Yices 2.6.0_default unknown ❌ 1200.09000 1200.03000
Z3 z3-4.7.1_default unknown ❌ 1200.08000 1200.04000
SMT-COMP 2019 0.29 (5/7) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.04597 0.04630
CVC4-SymBreak_03_06_2019-wrapped-sq_default unsat ✅ 0.30307 0.30891
MathSAT mathsat-20190601-wrapped-sq_default unsat ✅ 0.11797 0.11797
mathsat-na-20190601-wrapped-sq_default unsat ✅ 0.11547 0.11550
Par4 Par4-wrapped-sq_default unsat ✅ 0.05419 0.00574
SMT-RAT SMTRAT-5-wrapped-sq_default unsat ✅ 0.01689 0.01688
SMTRAT-MCSAT-4-wrapped-sq_default unknown ❌ 2400.04000 2400.07000
veriT veriT+raSAT+Redlog-wrapped-sq_default unsat ✅ 0.01660 0.01668
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.03000 2399.65000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 2400.02000 2399.88000
z3-4.7.1_default unknown ❌ 2400.02000 2399.96000
SMT-COMP 2020 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.05104 0.05137
MathSAT MathSAT5_default.sh unsat ✅ 0.10707 0.10702
Par4 Par4-wrapped-sq_default unsat ✅ 0.05779 0.01020
SMT-RAT smtrat-CDCAC_default unsat ✅ 0.01990 0.01986
smtrat-MCSAT_default unsat ✅ 0.01222 0.01217
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01486 0.01489
Yices2 Yices 2.6.2 bug fix_default unsat ✅ 0.01360 0.01148
Z3 z3-4.8.8_default unknown ❌ 1200.03000 1199.87000
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.17447 0.17482
MathSAT MathSAT-5.6.8_default unsat ✅ 0.11170 0.11158
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.09404 0.09409
Par4 Par4-wrapped-sq_default unsat ✅ 0.19210 0.00780
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01586 0.01199
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01534 0.01534
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01222 0.01217
Z3 z3-4.8.17_default unknown ❌ 1200.12000 1199.93000
Z3++ z3++0715_default unsat ✅ 0.28028 0.28034
SMT-COMP 2025 0.33 (4/6) cvc5 cvc5 unsat ✅ 0.30142 0.18386
SMTInterpol SMTInterpol unknown ❌ 0.46301 0.43730
SMT-RAT SMT-RAT unsat ✅ 0.24771 0.13214
Yices2 Yices2 unsat ✅ 0.28658 0.16213
Z3alpha Z3-alpha unsat ✅ 116.67178 464.61209
Z3 Z3-alpha-base unknown ❌ 1201.28935 1201.08265
z3siri-base unknown ❌ 1201.25454 1200.93184