Benchmark

non-incremental/QF_NRA/hong/hong_5.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
Size879
Compressed Size507
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 871
Compressed Size505
Max. Term Depth6
Asserts 2
Declared Functions0
Declared Constants5
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+4 *9 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.01400 0.00600
CVC4 CVC4 f7118b2 default unknown ❌ 0.01626 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 unsat ✅ 0.05347 0.04499
SMT-COMP 2015 0.33 (4/6) CVC3 CVC3 default unknown ❌ 0.00840 0.00600
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00887 0.00700
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.00978 0.00700
raSAT raSAT default.sh unsat ✅ 263.35500 263.48300
SMT-RAT SMT-RAT-final default unsat ✅ 0.00824 0.00400
Yices2 Yices2-NL default unsat ✅ 2.65476 2.65459
Z3 z3 4.4.0 default unsat ✅ 0.06763 0.06799
SMT-COMP 2016 0.20 (4/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01137 0.00914
raSAT raSAT 0.3 default.sh unsat ✅ 0.01537 0.00672
raSAT 0.4 exp - final default.py unsat ✅ 0.04333 0.03870
SMT-RAT SMT-RAT default unsat ✅ 0.01287 0.00797
Yices2 Yices-2.4.2 default unsat ✅ 0.75023 0.75062
Z3 z3-4.4.1 default unsat ✅ 0.06679 0.06810
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.02595 0.02566
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01362 0.00796
veriT veriT+raSAT+Redlog default unsat ✅ 0.01159 0.00830
Yices2 Yices2-Main default unsat ✅ 0.77461 0.77382
Z3 z3-4.5.0 default unsat ✅ 0.07502 0.07446
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02375 0.02391
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01036 0.00958
SMTRAT-MCSAT-final_default unknown ❌ 1200.01000 1199.87000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01026 0.01024
Yices2 Yices 2.6.0_default unsat ✅ 2.73825 2.73785
Z3 z3-4.7.1_default unsat ✅ 0.07733 0.07729
SMT-COMP 2019 CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02864 0.02900
CVC4-SymBreak_03_06_2019-wrapped-sq_default unsat ✅ 0.24984 0.25564
MathSAT mathsat-20190601-wrapped-sq_default unsat ✅ 0.04647 0.04647
mathsat-na-20190601-wrapped-sq_default unsat ✅ 0.04719 0.04720
Par4 Par4-wrapped-sq_default unsat ✅ 0.03755 0.00576
SMT-RAT SMTRAT-5-wrapped-sq_default unsat ✅ 0.01396 0.01271
SMTRAT-MCSAT-4-wrapped-sq_default unsat ✅ 0.56028 0.56028
veriT veriT+raSAT+Redlog-wrapped-sq_default unsat ✅ 0.01607 0.01617
Yices2 Yices 2.6.2-wrapped-sq_default unsat ✅ 3.59368 3.59356
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.07779 0.07787
z3-4.7.1_default unsat ✅ 0.07917 0.07915
SMT-COMP 2021 0.50 (5/10) MathSAT mathsat-5.6.6_default unsat ✅ 0.04638 0.04632
Par4 Par4-wrapped-sq_default unsat ✅ 0.03600 0.00623
SMT-RAT smtrat-MCSAT_default unsat ✅ 0.01180 0.01066
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01436 0.01439
Z3 z3-4.8.11_default unsat ✅ 0.05758 0.05763
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.23270 0.13303
SMTInterpol SMTInterpol unknown ❌ 0.38677 0.38404
SMT-RAT SMT-RAT unsat ✅ 0.21535 0.11556
Yices2 Yices2 unsat ✅ 0.24337 0.14301
Z3alpha Z3-alpha unsat ✅ 0.29020 0.19064