Benchmark

non-incremental/QF_NRA/hong/hong_16.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
Size1453
Compressed Size621
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 1445
Compressed Size624
Max. Term Depth17
Asserts 2
Declared Functions0
Declared Constants16
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+15 *31 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.02012 0.01200
CVC4 CVC4 f7118b2 default unknown ❌ 0.01708 0.00600
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.09000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 125.51700 125.42000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.01207 0.01100
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00978 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01051 0.00800
raSAT raSAT default.sh unknown ❌ 2400.01000 2400.97000
SMT-RAT SMT-RAT-final default unsat ✅ 0.00934 0.00800
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.44000
Z3 z3 4.4.0 default unknown ❌ 81.82640 81.83000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01440 0.01254
raSAT raSAT 0.3 default.sh unsat ✅ 0.04004 0.04012
raSAT 0.4 exp - final default.py unsat ✅ 0.06469 0.09349
SMT-RAT SMT-RAT default unsat ✅ 0.01146 0.00923
Yices2 Yices-2.4.2 default unknown ❌ 2400.11000 2401.16000
Z3 z3-4.4.1 default unknown ❌ 82.63360 82.66000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.09258 0.09212
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01246 0.01174
veriT veriT+raSAT+Redlog default unsat ✅ 0.02595 0.02575
Yices2 Yices2-Main default unknown ❌ 600.01400 599.87000
Z3 z3-4.5.0 default unknown ❌ 81.62000 81.59000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.05202 0.05223
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01780 0.01772
SMTRAT-MCSAT-final_default unknown ❌ 1200.08000 1199.91000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01302 0.01300
Yices2 Yices 2.6.0_default unknown ❌ 1200.03000 1200.02000
Z3 z3-4.7.1_default unknown ❌ 81.88670 81.82000
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.30202 0.30242
MathSAT MathSAT-5.6.8_default unsat ✅ 0.22525 0.22520
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.12291 0.12297
Par4 Par4-wrapped-sq_default unsat ✅ 0.07140 0.00683
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.02570 0.02501
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01683 0.01686
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01256 0.01154
Z3 z3-4.8.17_default unknown ❌ 1200.04000 1199.99000
Z3++ z3++0715_default unsat ✅ 0.28293 0.28298
SMT-COMP 2025 0.50 (3/6) cvc5 cvc5 unsat ✅ 0.37206 0.24405
SMTInterpol SMTInterpol unknown ❌ 0.45681 0.44359
SMT-RAT SMT-RAT unsat ✅ 0.33507 0.20952
Yices2 Yices2 unsat ✅ 0.27628 0.15759
Z3alpha Z3-alpha unknown ❌ 1201.00583 4802.07757
Z3 Z3-alpha-base unknown ❌ 1201.32149 1201.07725
z3siri-base unknown ❌ 1201.32282 1201.06022