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 |
| Size | 1616 |
| Compressed Size | 532 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | crafted |
| First Occurrence | 2014-07-21 |
| Generated By | — |
| Generated On | — |
| Generator | — |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | sat |
| Inferred Status | sat |
| Size | 1608 |
| Compressed Size | 519 |
| Max. Term Depth | 6 |
| Asserts | 6 |
| Declared Functions | 0 |
| Declared Constants | 12 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
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
|