Benchmark

non-incremental/QF_NRA/kissing/kissing_4_3.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 kissing family contains classic kissing number problems encoded in
SMT-LIB.

kissing problem: pack 3 spheres in 4 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size1616
Compressed Size532
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 sat
Inferred Status sat
Size 1608
Compressed Size519
Max. Term Depth6
Asserts 6
Declared Functions0
Declared Constants12
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=3 +18 -24 *24
>=3

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.05385 0.04299
CVC4 CVC4 f7118b2 default unknown ❌ 0.01821 0.00900
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.05000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 0.01707 0.00800
SMT-COMP 2015 0.33 (4/6) CVC3 CVC3 default unknown ❌ 0.03978 0.03899
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.01129 0.00900
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01120 0.00900
raSAT raSAT default.sh sat ✅ 1.17119 1.16982
SMT-RAT SMT-RAT-final default sat ✅ 0.22433 0.22297
Yices2 Yices2-NL default sat ✅ 0.00825 0.00300
Z3 z3 4.4.0 default sat ✅ 0.03211 0.03199
SMT-COMP 2016 0.20 (4/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01203 0.01211
raSAT raSAT 0.3 default.sh sat ✅ 0.39560 0.39613
raSAT 0.4 exp - final default.py sat ✅ 0.33372 0.33049
SMT-RAT SMT-RAT default sat ✅ 0.13175 0.13227
Yices2 Yices-2.4.2 default sat ✅ 0.01399 0.00469
Z3 z3-4.4.1 default sat ✅ 0.03113 0.03246
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default sat ✅ 0.01549 0.01530
SMT-RAT SMTRAT-comp2017_2 default sat ✅ 0.29449 0.29301
veriT veriT+raSAT+Redlog default sat ✅ 2.20593 2.66145
Yices2 Yices2-Main default sat ✅ 0.00836 0.00393
Z3 z3-4.5.0 default sat ✅ 0.03638 0.03469
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 302.45100 300.32400
SMT-RAT SMTRAT-Rat-final_default sat ✅ 2.01623 2.01607
SMTRAT-MCSAT-final_default unknown ❌ 1200.01000 1199.92000
veriT veriT+raSAT+Reduce_default sat ✅ 0.08817 0.08810
Yices2 Yices 2.6.0_default sat ✅ 0.00884 0.00656
Z3 z3-4.7.1_default sat ✅ 0.03870 0.03868
SMT-COMP 2019 CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default sat ✅ 1204.29000 1200.76000
CVC4-SymBreak_03_06_2019-wrapped-sq_default sat ✅ 1204.63000 1200.80000
MathSAT mathsat-20190601-wrapped-sq_default sat ✅ 0.03369 0.03370
mathsat-na-20190601-wrapped-sq_default sat ✅ 0.03368 0.03366
Par4 Par4-wrapped-sq_default sat ✅ 0.01547 0.00589
SMT-RAT SMTRAT-5-wrapped-sq_default sat ✅ 4.73925 4.73900
SMTRAT-MCSAT-4-wrapped-sq_default sat ✅ 0.01800 0.01796
veriT veriT+raSAT+Redlog-wrapped-sq_default sat ✅ 1750.34000 1750.26000
Yices2 Yices 2.6.2-wrapped-sq_default sat ✅ 0.00940 0.00688
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 0.03989 0.03994
z3-4.7.1_default sat ✅ 0.03869 0.03869
SMT-COMP 2020 0.14 (6/7) CVC4 CVC4-sq-final_default sat ✅ 0.01960 0.01986
MathSAT MathSAT5_default.sh sat ✅ 0.03053 0.03050
Par4 Par4-wrapped-sq_default sat ✅ 0.01576 0.00589
SMT-RAT smtrat-CDCAC_default unknown ❌ 1200.02000 1199.93000
smtrat-MCSAT_default sat ✅ 0.03109 0.03099
veriT veriT+raSAT+Redlog_default unknown ❌ 1200.03000 1199.89000
Yices2 Yices 2.6.2 bug fix_default sat ✅ 0.01340 0.01149
Z3 z3-4.8.8_default sat ✅ 0.03643 0.03644
SMT-COMP 2021 0.50 (5/10) MathSAT mathsat-5.6.6_default sat ✅ 0.03632 0.03629
Par4 Par4-wrapped-sq_default sat ✅ 0.05251 0.00640
SMT-RAT smtrat-MCSAT_default sat ✅ 0.02678 0.02676
veriT veriT+raSAT+Redlog_default sat ✅ 1002.85000 1002.65000
Z3 z3-4.8.11_default sat ✅ 0.02357 0.02367
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.05155 0.05208
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.18395 0.18400
Par4 Par4-wrapped-sq_default sat ✅ 0.01695 0.00654
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03868 0.03866
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01073 0.01032
Z3alpha z3alpha_default sat ✅ 0.09660 0.09677
Z3++ z3++0715_default sat ✅ 0.28404 0.28411
Z3++_sq_0526_default sat ✅ 0.28702 0.28707
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 0.29096 0.16878
SMTInterpol SMTInterpol unknown ❌ 0.48148 0.46358
SMT-RAT SMT-RAT sat ✅ 0.28177 0.16079
Yices2 Yices2 sat ✅ 0.25451 0.13478
Z3alpha Z3-alpha sat ✅ 0.60993 0.48103
Z3 Z3-alpha-base sat ✅ 0.27737 0.15843
z3siri-base sat ✅ 0.27850 0.16034