Benchmark

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

kissing problem: pack 15 spheres in 4 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size22217
Compressed Size1980
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 22209
Compressed Size1974
Max. Term Depth6
Asserts 120
Declared Functions0
Declared Constants60
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=15 +360 -840 *480
>=105

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 1.53662 1.52877
CVC4 CVC4 f7118b2 default unknown ❌ 0.07097 0.06199
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.10000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 475.99500 476.12300
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 1.47684 1.47677
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.06652 0.06499
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.06740 0.06399
raSAT raSAT default.sh unknown ❌ 2400.01000 2401.22000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.04000
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.74000
Z3 z3 4.4.0 default sat ✅ 117.96300 118.01200
SMT-COMP 2016 0.80 (1/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.06551 0.06569
raSAT raSAT 0.3 default.sh unknown ❌ 2400.02000 2401.39000
raSAT 0.4 exp - final default.py unknown ❌ 2400.02000 4809.94000
SMT-RAT SMT-RAT default unknown ❌ 2400.05000 2401.42000
Yices2 Yices-2.4.2 default unknown ❌ 2400.01000 2401.27000
Z3 z3-4.4.1 default sat ✅ 121.86400 121.89500
SMT-COMP 2017 0.80 (1/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.08800 592.72000
SMT-RAT SMTRAT-comp2017_2 default unknown ❌ 600.06000 599.93000
veriT veriT+raSAT+Redlog default unknown ❌ 600.11500 716.39000
Yices2 Yices2-Main default unknown ❌ 600.01300 599.93000
Z3 z3-4.5.0 default sat ✅ 512.63700 512.45600
SMT-COMP 2018 0.80 (1/5) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.11000 1191.12000
SMT-RAT SMTRAT-Rat-final_default unknown ❌ 1200.01000 1199.76000
SMTRAT-MCSAT-final_default unknown ❌ 1200.01000 1199.88000
veriT veriT+raSAT+Reduce_default unknown ❌ 1200.04000 1199.91000
Yices2 Yices 2.6.0_default unknown ❌ 1200.03000 1200.06000
Z3 z3-4.7.1_default sat ✅ 574.15000 574.07100
SMT-COMP 2019 0.71 (2/7) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.02000 2394.13000
CVC4-SymBreak_03_06_2019-wrapped-sq_default unknown ❌ 2400.03000 2389.37000
MathSAT mathsat-20190601-wrapped-sq_default unknown ❌ 2400.02000 2399.99000
mathsat-na-20190601-wrapped-sq_default unknown ❌ 2400.02000 2399.58000
Par4 Par4-wrapped-sq_default sat ✅ 382.61900 1145.75000
SMT-RAT SMTRAT-5-wrapped-sq_default unknown ❌ 2400.03000 2399.77000
SMTRAT-MCSAT-4-wrapped-sq_default unknown ❌ 2400.03000 2400.09000
veriT veriT+raSAT+Redlog-wrapped-sq_default unknown ❌ 2400.02000 2399.86000
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.01000 2399.86000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 352.51200 352.41400
z3-4.7.1_default sat ✅ 355.44700 355.42200
SMT-COMP 2025 1.00 (0/6) cvc5 cvc5 unknown ❌ 1201.74886 1200.95295
SMTInterpol SMTInterpol unknown ❌ 0.66834 1.28307
SMT-RAT SMT-RAT unknown ❌ 1201.29757 1201.03242
Yices2 Yices2 unknown ❌ 1201.29463 1200.95650
Z3alpha Z3-alpha unknown ❌ 1201.00527 4801.17887
Z3 Z3-alpha-base unknown ❌ 1201.29867 1201.03704
z3siri-base unknown ❌ 1201.29212 1201.03041