Benchmark

non-incremental/QF_NRA/kissing/kissing_2_4.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 4 spheres in 2 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size1471
Compressed Size505
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 1463
Compressed Size497
Max. Term Depth4
Asserts 10
Declared Functions0
Declared Constants8
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=4 +10 -24 *20
>=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.04227 0.04099
CVC4 CVC4 f7118b2 default unknown ❌ 0.01893 0.00800
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.08000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 1.20170 1.20182
SMT-COMP 2015 0.50 (3/6) CVC3 CVC3 default unknown ❌ 0.04416 0.04399
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.01077 0.00900
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01151 0.00900
raSAT raSAT default.sh sat ✅ 2.94091 2.93855
SMT-RAT SMT-RAT-final default sat ✅ 0.65193 0.65090
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.89000
Z3 z3 4.4.0 default sat ✅ 15.30910 15.31570
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01238 0.01210
raSAT raSAT 0.3 default.sh sat ✅ 25.70890 25.72250
raSAT 0.4 exp - final default.py sat ✅ 1.37236 2.66000
SMT-RAT SMT-RAT default unknown ❌ 2400.03000 2401.38000
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.36000
Z3 z3-4.4.1 default sat ✅ 15.26020 15.26740
SMT-COMP 2017 0.60 (2/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.02800 598.14000
SMT-RAT SMTRAT-comp2017_2 default unknown ❌ 600.02500 599.99000
veriT veriT+raSAT+Redlog default sat ✅ 1.14424 1.36261
Yices2 Yices2-Main default unknown ❌ 600.01200 599.97400
Z3 z3-4.5.0 default sat ✅ 16.38970 16.38870
SMT-COMP 2018 0.20 (4/5) CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 601.56800 600.28700
SMT-RAT SMTRAT-Rat-final_default sat ✅ 0.71064 0.71058
SMTRAT-MCSAT-final_default unknown ❌ 1200.05000 1199.96000
veriT veriT+raSAT+Reduce_default sat ✅ 0.01535 0.01528
Yices2 Yices 2.6.0_default unknown ❌ 1200.09000 1200.03000
Z3 z3-4.7.1_default sat ✅ 15.52460 15.52330
SMT-COMP 2021 0.50 (5/10) MathSAT mathsat-5.6.6_default sat ✅ 0.02869 0.02866
Par4 Par4-wrapped-sq_default sat ✅ 15.44680 46.14000
SMT-RAT smtrat-MCSAT_default sat ✅ 1.43810 1.43809
veriT veriT+raSAT+Redlog_default sat ✅ 1.67969 3.26969
Z3 z3-4.8.11_default sat ✅ 15.19280 15.19180
SMT-COMP 2023 0.14 (6/7) cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 918.67500 902.05300
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 1.04614 1.04612
Par4 Par4-wrapped-sq_default sat ✅ 0.04865 0.00764
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.17593 0.17590
Yices2 Yices 2 for SMTCOMP 2023_default unknown ❌ 1200.11000 1199.98000
Z3alpha z3alpha_default sat ✅ 0.02383 0.02404
Z3++ z3++0715_default sat ✅ 0.28997 0.29003
Z3++_sq_0526_default sat ✅ 0.28990 0.28995
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 900.33105 900.09825
SMTInterpol SMTInterpol unknown ❌ 0.45859 0.45394
SMT-RAT SMT-RAT sat ✅ 0.29749 0.16876
Yices2 Yices2 sat ✅ 0.25410 0.13606
Z3alpha Z3-alpha sat ✅ 0.60379 0.48450
Z3 Z3-alpha-base sat ✅ 0.29177 0.17274
z3siri-base sat ✅ 0.26754 0.14708