Benchmark

non-incremental/QF_NRA/kissing/kissing_4_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 kissing family contains classic kissing number problems encoded in
SMT-LIB.

kissing problem: pack 5 spheres in 4 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size3226
Compressed Size644
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 3218
Compressed Size628
Max. Term Depth6
Asserts 15
Declared Functions0
Declared Constants20
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=5 +45 -80 *60
>=10

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.13211 0.12398
CVC4 CVC4 f7118b2 default unknown ❌ 0.02288 0.01300
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.06000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 22.14390 22.13860
SMT-COMP 2015 0.50 (3/6) CVC3 CVC3 default unknown ❌ 0.12733 0.12698
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.01616 0.01400
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01557 0.01400
raSAT raSAT default.sh sat ✅ 79.69020 79.72290
SMT-RAT SMT-RAT-final default sat ✅ 74.09120 74.12070
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.98000
Z3 z3 4.4.0 default sat ✅ 16.52370 16.53050
SMT-COMP 2016 0.40 (3/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01576 0.01618
raSAT raSAT 0.3 default.sh unknown ❌ 2400.02000 2401.40000
raSAT 0.4 exp - final default.py sat ✅ 2180.62000 4370.53000
SMT-RAT SMT-RAT default unknown ❌ 2400.05000 2401.41000
Yices2 Yices-2.4.2 default sat ✅ 0.01250 0.00508
Z3 z3-4.4.1 default sat ✅ 16.78190 16.79460
SMT-COMP 2017 0.60 (2/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.01900 600.00600
SMT-RAT SMTRAT-comp2017_2 default unknown ❌ 600.06700 600.01400
veriT veriT+raSAT+Redlog default unknown ❌ 600.02500 733.02000
Yices2 Yices2-Main default sat ✅ 0.01010 0.00559
Z3 z3-4.5.0 default sat ✅ 20.13730 20.13720
SMT-COMP 2018 0.60 (2/5) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.11000 1198.99000
SMT-RAT SMTRAT-Rat-final_default sat ✅ 20.40140 20.40070
SMTRAT-MCSAT-final_default unknown ❌ 1200.02000 1200.00000
veriT veriT+raSAT+Reduce_default unknown ❌ 1200.11000 1199.93000
Yices2 Yices 2.6.0_default unknown ❌ 1200.11000 1200.09000
Z3 z3-4.7.1_default sat ✅ 0.04066 0.04062
SMT-COMP 2020 0.29 (5/7) CVC4 CVC4-sq-final_default sat ✅ 602.80000 600.50600
MathSAT MathSAT5_default.sh sat ✅ 0.04600 0.04596
Par4 Par4-wrapped-sq_default sat ✅ 21.52930 64.46000
SMT-RAT smtrat-CDCAC_default unknown ❌ 1200.02000 1199.85000
smtrat-MCSAT_default sat ✅ 0.03166 0.03164
veriT veriT+raSAT+Redlog_default unknown ❌ 1200.02000 1199.81000
Yices2 Yices 2.6.2 bug fix_default unknown ❌ 1200.02000 1199.90000
Z3 z3-4.8.8_default sat ✅ 15.61390 15.61390
SMT-COMP 2022 0.33 (6/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 608.10600 601.25900
MathSAT MathSAT-5.6.8_default sat ✅ 0.06147 0.05931
NRA-LS NRA-LS-FINAL_default unknown ❌ 1170.08000 1170.03000
Par4 Par4-wrapped-sq_default sat ✅ 0.05372 0.00665
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 323.62400 323.56100
veriT veriT+raSAT+Redlog_default unknown ❌ 1200.03000 1199.90000
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.09000 1199.93000
Z3 z3-4.8.17_default sat ✅ 0.02668 0.02859
Z3++ z3++0715_default sat ✅ 2.09031 2.09036
SMT-COMP 2023 0.29 (5/7) cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 901.88900 900.36200
NRA-LS cvc5-NRA-LS-sq_default unknown ❌ 1170.07000 1169.93000
Par4 Par4-wrapped-sq_default sat ✅ 0.09234 0.01167
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 3.60451 3.60407
Yices2 Yices 2 for SMTCOMP 2023_default unknown ❌ 1200.02000 1199.93000
Z3alpha z3alpha_default sat ✅ 0.04212 0.04235
Z3++ z3++0715_default sat ✅ 95.78360 95.75090
Z3++_sq_0526_default sat ✅ 90.79460 90.78600
SMT-COMP 2025 0.33 (4/6) cvc5 cvc5 sat ✅ 900.56383 900.33305
SMTInterpol SMTInterpol unknown ❌ 0.46083 0.50064
SMT-RAT SMT-RAT sat ✅ 0.29286 0.16676
Yices2 Yices2 unknown ❌ 1201.44024 1201.19897
Z3alpha Z3-alpha sat ✅ 0.65328 0.53622
Z3 Z3-alpha-base sat ✅ 0.30921 0.18770
z3siri-base sat ✅ 0.28448 0.15441