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 |
| Size | 3226 |
| Compressed Size | 644 |
| 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 | 3218 |
| Compressed Size | 628 |
| Max. Term Depth | 6 |
| Asserts | 15 |
| Declared Functions | 0 |
| Declared Constants | 20 |
| 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 ❌
|
0.13211
|
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
|