Benchmark

non-incremental/QF_NRA/kissing/kissing_4_1.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 1 spheres in 4 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size694
Compressed Size412
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 686
Compressed Size408
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=1 +3 *4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.01323 0.00500
CVC4 CVC4 f7118b2 default unknown ❌ 0.01615 0.00600
raSAT raSAT-main-track-final default.sh unknown ❌ 2398.91000 2400.05000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 0.01570 0.00600
SMT-COMP 2015 0.33 (4/6) CVC3 CVC3 default unknown ❌ 0.00843 0.00500
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.00859 0.00700
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.00903 0.00600
raSAT raSAT default.sh sat ✅ 0.03286 0.02999
SMT-RAT SMT-RAT-final default sat ✅ 0.00847 0.00500
Yices2 Yices2-NL default sat ✅ 0.00833 0.00200
Z3 z3 4.4.0 default sat ✅ 0.03033 0.02899
SMT-COMP 2016 0.20 (4/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01170 0.00975
raSAT raSAT 0.3 default.sh sat ✅ 0.01402 0.01479
raSAT 0.4 exp - final default.py sat ✅ 0.04141 0.03287
SMT-RAT SMT-RAT default sat ✅ 0.01302 0.00722
Yices2 Yices-2.4.2 default sat ✅ 0.01114 0.00258
Z3 z3-4.4.1 default sat ✅ 0.02865 0.02991
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default sat ✅ 0.01143 0.01155
SMT-RAT SMTRAT-comp2017_2 default sat ✅ 0.01620 0.00819
veriT veriT+raSAT+Redlog default sat ✅ 0.15164 0.15188
Yices2 Yices2-Main default sat ✅ 0.00893 0.00364
Z3 z3-4.5.0 default sat ✅ 0.03199 0.03127
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 0.01125 0.01145
SMT-RAT SMTRAT-Rat-final_default sat ✅ 0.02533 0.02527
SMTRAT-MCSAT-final_default unknown ❌ 1200.03000 1200.02000
veriT veriT+raSAT+Reduce_default sat ✅ 0.01092 0.01086
Yices2 Yices 2.6.0_default sat ✅ 0.01056 0.00592
Z3 z3-4.7.1_default sat ✅ 0.03517 0.03513
SMT-COMP 2020 CVC4 CVC4-sq-final_default sat ✅ 0.01531 0.01563
MathSAT MathSAT5_default.sh sat ✅ 0.02279 0.02273
Par4 Par4-wrapped-sq_default sat ✅ 0.01825 0.00893
SMT-RAT smtrat-CDCAC_default sat ✅ 0.03037 0.03032
smtrat-MCSAT_default sat ✅ 0.01346 0.00885
veriT veriT+raSAT+Redlog_default sat ✅ 0.01299 0.01295
Yices2 Yices 2.6.2 bug fix_default sat ✅ 0.01405 0.01049
Z3 z3-4.8.8_default sat ✅ 0.03227 0.03228
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.22118 0.12168
SMTInterpol SMTInterpol unknown ❌ 0.42159 0.41150
SMT-RAT SMT-RAT sat ✅ 0.24218 0.14250
Yices2 Yices2 sat ✅ 0.24839 0.14805
Z3alpha Z3-alpha sat ✅ 0.26700 0.16767
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 0.27649 0.15965
SMTInterpol SMTInterpol unknown ❌ 0.42795 0.39792
SMT-RAT SMT-RAT sat ✅ 0.26313 0.14453
Yices2 Yices2 sat ✅ 0.29288 0.16205
Z3alpha Z3-alpha sat ✅ 0.60125 0.47780
Z3 Z3-alpha-base sat ✅ 0.32036 0.18614
z3siri-base sat ✅ 0.29503 0.17051