Benchmark

non-incremental/QF_NRA/hong/hong_15.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
Size1399
Compressed Size611
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 1391
Compressed Size613
Max. Term Depth16
Asserts 2
Declared Functions0
Declared Constants15
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

+14 *29 <1 >1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/4) CVC3 CVC3 default unknown ❌ 0.01191 0.01100
CVC4 CVC4 f7118b2 default unknown ❌ 0.01762 0.00800
raSAT raSAT-main-track-final default.sh unknown ❌ 2398.81000 2400.02000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 126.11700 126.08000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.01186 0.01100
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00932 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01141 0.00800
raSAT raSAT default.sh unknown ❌ 2400.01000 2400.99000
SMT-RAT SMT-RAT-final default unsat ✅ 0.01246 0.00800
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.93000
Z3 z3 4.4.0 default unknown ❌ 83.22610 83.21000
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01331 0.01123
raSAT raSAT 0.3 default.sh unsat ✅ 0.02518 0.02538
raSAT 0.4 exp - final default.py unsat ✅ 0.05366 0.06762
SMT-RAT SMT-RAT default unsat ✅ 0.01172 0.00890
Yices2 Yices-2.4.2 default unknown ❌ 2400.03000 2401.26000
Z3 z3-4.4.1 default unknown ❌ 80.99160 80.98000
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.08284 0.08209
SMT-RAT SMTRAT-comp2017_2 default unsat ✅ 0.01277 0.01293
veriT veriT+raSAT+Redlog default unsat ✅ 0.02220 0.02209
Yices2 Yices2-Main default unknown ❌ 600.10600 599.97000
Z3 z3-4.5.0 default unknown ❌ 81.43070 81.40000
SMT-COMP 2018 0.40 (3/5) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.05417 0.05428
SMT-RAT SMTRAT-Rat-final_default unsat ✅ 0.01683 0.01678
SMTRAT-MCSAT-final_default unknown ❌ 1200.04000 1199.90000
veriT veriT+raSAT+Reduce_default unsat ✅ 0.01285 0.01281
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.83000
Z3 z3-4.7.1_default unknown ❌ 84.72720 84.71000
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.26374 0.26428
MathSAT MathSAT-5.6.8_default unsat ✅ 0.17827 0.17821
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.12801 0.12808
Par4 Par4-wrapped-sq_default unsat ✅ 0.18955 0.00847
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01435 0.01435
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01603 0.01604
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01161 0.01156
Z3 z3-4.8.17_default unknown ❌ 1200.02000 1199.85000
Z3++ z3++0715_default unsat ✅ 0.29007 0.29008
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 unsat ✅ 0.28318 0.18350
SMTInterpol SMTInterpol unknown ❌ 0.41668 0.43486
SMT-RAT SMT-RAT unsat ✅ 0.24313 0.14330
Yices2 Yices2 unsat ✅ 0.21670 0.11687
Z3alpha Z3-alpha unknown ❌ 1201.71045 1200.88445
SMT-COMP 2025 0.50 (3/6) cvc5 cvc5 unsat ✅ 0.32422 0.20738
SMTInterpol SMTInterpol unknown ❌ 0.47468 0.44376
SMT-RAT SMT-RAT unsat ✅ 0.28804 0.16874
Yices2 Yices2 unsat ✅ 0.28622 0.16171
Z3alpha Z3-alpha unknown ❌ 1201.00641 4801.97058
Z3 Z3-alpha-base unknown ❌ 1201.28884 1200.97958
z3siri-base unknown ❌ 1201.30328 1201.03552