Benchmark
non-incremental/QF_NRA/kissing/kissing_4_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 4 dimensions
Submitted to SMT-LIB by Dejan Jovanovic.
| Benchmark |
|---|
| Size | 2335 |
| Compressed Size | 584 |
| 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 | 2327 |
| Compressed Size | 568 |
| Max. Term Depth | 6 |
| Asserts | 10 |
| Declared Functions | 0 |
| Declared Constants | 16 |
| 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 ❌
|
0.08983
|
0.08199
|
| |
CVC4 |
CVC4 f7118b2 default |
unknown ❌
|
0.01319
|
0.01100
|
| |
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 ✅
|
0.01812
|
0.01000
|
|
SMT-COMP 2015
|
0.50 (3/6) |
CVC3 |
CVC3 default |
unknown ❌
|
0.07911
|
0.07899
|
| |
CVC4 |
CVC4-master-2015-06-15-9b32405-main default |
unknown ❌
|
0.01325
|
0.01100
|
| |
|
CVC4-experimental-2015-06-15-ff5745a-main default |
unknown ❌
|
0.01357
|
0.01000
|
| |
raSAT |
raSAT default.sh |
sat ✅
|
3.67635
|
3.67644
|
| |
SMT-RAT |
SMT-RAT-final default |
sat ✅
|
2.91862
|
2.91855
|
| |
Yices2 |
Yices2-NL default |
unknown ❌
|
2400.01000
|
2400.44000
|
| |
Z3 |
z3 4.4.0 default |
sat ✅
|
15.62500
|
15.63160
|
|
SMT-COMP 2016
|
0.20 (4/5) |
CVC4 |
CVC4-master-2016-05-27-cfef263-main default |
unknown ❌
|
0.01464
|
0.01481
|
| |
raSAT |
raSAT 0.3 default.sh |
unknown ❌
|
2400.09000
|
2401.28000
|
| |
|
raSAT 0.4 exp - final default.py |
sat ✅
|
3.72066
|
7.40000
|
| |
SMT-RAT |
SMT-RAT default |
sat ✅
|
3.74438
|
3.74679
|
| |
Yices2 |
Yices-2.4.2 default |
sat ✅
|
0.01354
|
0.00484
|
| |
Z3 |
z3-4.4.1 default |
sat ✅
|
0.03295
|
0.03421
|
|
SMT-COMP 2017
|
0.60 (2/5) |
CVC4 |
CVC4-smtcomp2017-main default |
unknown ❌
|
600.01800
|
599.20500
|
| |
SMT-RAT |
SMTRAT-comp2017_2 default |
unknown ❌
|
600.04300
|
600.00600
|
| |
veriT |
veriT+raSAT+Redlog default |
unknown ❌
|
600.02200
|
737.99000
|
| |
Yices2 |
Yices2-Main default |
sat ✅
|
0.00841
|
0.00417
|
| |
Z3 |
z3-4.5.0 default |
sat ✅
|
17.51470
|
17.50590
|
|
SMT-COMP 2018
|
0.40 (3/5) |
CVC4 |
master-2018-06-10-b19c840-competition-default_default |
sat ✅
|
602.42000
|
600.35100
|
| |
SMT-RAT |
SMTRAT-Rat-final_default |
unknown ❌
|
1200.01000
|
1200.01000
|
| |
|
SMTRAT-MCSAT-final_default |
unknown ❌
|
1200.02000
|
1199.92000
|
| |
veriT |
veriT+raSAT+Reduce_default |
unknown ❌
|
1200.01000
|
1200.04000
|
| |
Yices2 |
Yices 2.6.0_default |
sat ✅
|
0.01078
|
0.00759
|
| |
Z3 |
z3-4.7.1_default |
sat ✅
|
0.04304
|
0.04302
|
|
SMT-COMP 2020
|
0.14 (6/7) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
602.68700
|
600.57000
|
| |
MathSAT |
MathSAT5_default.sh |
sat ✅
|
0.04367
|
0.04364
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01802
|
0.00638
|
| |
SMT-RAT |
smtrat-CDCAC_default |
unknown ❌
|
1200.02000
|
1199.88000
|
| |
|
smtrat-MCSAT_default |
sat ✅
|
0.02295
|
0.02290
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.02000
|
1200.05000
|
| |
Yices2 |
Yices 2.6.2 bug fix_default |
sat ✅
|
0.01246
|
0.01216
|
| |
Z3 |
z3-4.8.8_default |
sat ✅
|
0.03717
|
0.03715
|
|
SMT-COMP 2021
|
0.50 (5/10) |
MathSAT |
mathsat-5.6.6_default |
sat ✅
|
0.04360
|
0.04356
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02541
|
0.00754
|
| |
SMT-RAT |
smtrat-MCSAT_default |
sat ✅
|
0.03020
|
0.03017
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
75.75310
|
75.75020
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.03041
|
0.03049
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.16923
|
0.16979
|
| |
MathSAT |
MathSAT-5.6.8_default |
sat ✅
|
0.04678
|
0.04672
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.89398
|
0.89404
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03662
|
0.00662
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.08358
|
0.08348
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.01000
|
1199.84000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01758
|
0.01268
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02407
|
0.02594
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
3.78326
|
3.78327
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.05699
|
0.05752
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.08717
|
0.08724
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01689
|
0.00626
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02389
|
0.02387
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01264
|
0.01056
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02652
|
0.02674
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28592
|
0.28578
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.28993
|
0.28985
|
|
SMT-COMP 2025
|
0.33 (4/6) |
cvc5 |
cvc5 |
sat ✅
|
0.32561
|
0.19798
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43955
|
0.46645
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.26566
|
0.14081
|
| |
Yices2 |
Yices2 |
unknown ❌
|
1201.29219
|
1201.02626
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59877
|
0.48155
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27224
|
0.15630
|
| |
|
z3siri-base |
sat ✅
|
0.30320
|
0.17497
|