Benchmark

non-incremental/QF_NRA/hong/hong_10.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
Size1129
Compressed Size562
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 1121
Compressed Size555
Max. Term Depth11
Asserts 2
Declared Functions0
Declared Constants10
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+9 *19 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.01690 0.00900
CVC4 CVC4 f7118b2 default unknown ❌ 0.01650 0.00600
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.02000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.42000 2400.07000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.00906 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.01017 0.00600
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01649 0.00700
raSAT raSAT default.sh unknown ❌ 2400.01000 2401.11000
SMT-RAT SMT-RAT-final default unsat ✅ 0.00809 0.00600
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.96000
Z3 z3 4.4.0 default unknown ❌ 2400.02000 2401.19000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01200 0.01011
raSAT raSAT 0.3 default.sh unsat ✅ 0.01342 0.01358
raSAT 0.4 exp - final default.py unsat ✅ 0.04347 0.04481
SMT-RAT SMT-RAT default unsat ✅ 0.01276 0.00770
Yices2 Yices-2.4.2 default unknown ❌ 2400.11000 2401.50000
Z3 z3-4.4.1 default unknown ❌ 2400.03000 2401.34000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.05033 0.05003
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.00916 0.00862
veriT veriT+raSAT+Redlog default unsat ✅ 0.01206 0.01167
Yices2 Yices2-Main default unknown ❌ 600.01000 599.95500
Z3 z3-4.5.0 default unknown ❌ 600.09500 600.08000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.03415 0.03432
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01298 0.01292
SMTRAT-MCSAT-final_default unknown ❌ 1200.10000 1199.93000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01144 0.01145
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.82000
Z3 z3-4.7.1_default unknown ❌ 1200.02000 1200.04000
SMT-COMP 2019 0.29 (5/7) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.03926 0.03962
CVC4-SymBreak_03_06_2019-wrapped-sq_default unsat ✅ 0.29644 0.30216
MathSAT mathsat-20190601-wrapped-sq_default unsat ✅ 0.10243 0.10242
mathsat-na-20190601-wrapped-sq_default unsat ✅ 0.10811 0.10811
Par4 Par4-wrapped-sq_default unsat ✅ 0.04620 0.00756
SMT-RAT SMTRAT-5-wrapped-sq_default unsat ✅ 0.01620 0.01621
SMTRAT-MCSAT-4-wrapped-sq_default unknown ❌ 2400.04000 2399.73000
veriT veriT+raSAT+Redlog-wrapped-sq_default unsat ✅ 0.01685 0.01694
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.11000 2400.03000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 2400.04000 2399.91000
z3-4.7.1_default unknown ❌ 2400.06000 2399.76000
SMT-COMP 2021 0.60 (4/10) MathSAT mathsat-5.6.6_default unsat ✅ 0.10159 0.10157
Par4 Par4-wrapped-sq_default unsat ✅ 0.04704 0.00766
SMT-RAT smtrat-MCSAT_default unsat ✅ 0.01352 0.01349
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01471 0.01477
Z3 z3-4.8.11_default unknown ❌ 1200.02000 1200.06000
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.15946 0.16001
MathSAT MathSAT-5.6.8_default unsat ✅ 0.10068 0.10064
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.07658 0.07662
Par4 Par4-wrapped-sq_default unsat ✅ 0.04966 0.00828
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.02084 0.01235
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01510 0.01515
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01280 0.00931
Z3 z3-4.8.17_default unknown ❌ 1200.02000 1199.94000
Z3++ z3++0715_default unsat ✅ 0.28068 0.28074
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.08365 0.08418
NRA-LS cvc5-NRA-LS-sq_default unsat ✅ 0.08945 0.08939
Par4 Par4-wrapped-sq_default unsat ✅ 0.04779 0.00707
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01897 0.01896
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 0.01088 0.00948
Z3alpha z3alpha_default unsat ✅ 88.13100 88.13520
Z3++ z3++0715_default unsat ✅ 0.28056 0.28042
Z3++_sq_0526_default unsat ✅ 0.28625 0.28628