Benchmark

non-incremental/QF_NRA/hong/hong_18.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
Size1561
Compressed Size639
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 1553
Compressed Size643
Max. Term Depth19
Asserts 2
Declared Functions0
Declared Constants18
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+17 *35 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.01381 0.01300
CVC4 CVC4 f7118b2 default unknown ❌ 0.01796 0.00600
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.10000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 125.42400 125.40000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.01334 0.01300
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00989 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01522 0.00700
raSAT raSAT default.sh unknown ❌ 2400.01000 2400.96000
SMT-RAT SMT-RAT-final default unsat ✅ 0.01049 0.01000
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.82000
Z3 z3 4.4.0 default unknown ❌ 82.62630 82.63000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01264 0.01106
raSAT raSAT 0.3 default.sh unsat ✅ 0.05498 0.05514
raSAT 0.4 exp - final default.py unsat ✅ 0.08380 0.11768
SMT-RAT SMT-RAT default unsat ✅ 0.01134 0.01007
Yices2 Yices-2.4.2 default unknown ❌ 2400.11000 2401.01000
Z3 z3-4.4.1 default unknown ❌ 81.57230 81.58000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.10862 0.10822
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01447 0.01369
veriT veriT+raSAT+Redlog default unsat ✅ 0.03186 0.03154
Yices2 Yices2-Main default unknown ❌ 600.01700 599.83300
Z3 z3-4.5.0 default unknown ❌ 81.57170 81.53000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.05934 0.05955
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01969 0.01958
SMTRAT-MCSAT-final_default unknown ❌ 1200.02000 1199.88000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01377 0.01337
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.97000
Z3 z3-4.7.1_default unknown ❌ 81.85480 81.76000
SMT-COMP 2023 0.14 (6/7) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.18449 0.18474
NRA-LS cvc5-NRA-LS-sq_default unsat ✅ 0.16475 0.16481
Par4 Par4-wrapped-sq_default unsat ✅ 0.07039 0.00638
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.36952 0.36952
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 0.01068 0.01000
Z3alpha z3alpha_default unknown ❌ 1200.07000 1200.08000
Z3++ z3++0715_default unsat ✅ 0.28179 0.28188
Z3++_sq_0526_default unsat ✅ 0.28737 0.28748
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 unsat ✅ 0.30938 0.20980
SMTInterpol SMTInterpol unknown ❌ 0.42033 0.42403
SMT-RAT SMT-RAT unsat ✅ 0.44284 0.34300
Yices2 Yices2 unsat ✅ 0.21732 0.11786
Z3alpha Z3-alpha unknown ❌ 1201.71723 1200.87220
SMT-COMP 2025 0.50 (3/6) cvc5 cvc5 unsat ✅ 0.36839 0.24760
SMTInterpol SMTInterpol unknown ❌ 0.41387 0.39607
SMT-RAT SMT-RAT unsat ✅ 0.45306 0.33908
Yices2 Yices2 unsat ✅ 0.34821 0.21666
Z3alpha Z3-alpha unknown ❌ 1201.00575 4802.03038
Z3 Z3-alpha-base unknown ❌ 1201.25171 1201.08734
z3siri-base unknown ❌ 1201.24767 1201.03675