Benchmark

non-incremental/QF_NRA/kissing/kissing_4_7.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 7 spheres in 4 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size5524
Compressed Size784
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 5516
Compressed Size766
Max. Term Depth6
Asserts 28
Declared Functions0
Declared Constants28
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=7 +84 -168 *112
>=21

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.29757 0.28996
CVC4 CVC4 f7118b2 default unknown ❌ 0.02887 0.01800
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 ✅ 0.04813 0.04099
SMT-COMP 2015 0.67 (2/6) CVC3 CVC3 default unknown ❌ 0.27241 0.27196
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.02212 0.02000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.02251 0.02000
raSAT raSAT default.sh unknown ❌ 2400.01000 2400.95000
SMT-RAT SMT-RAT-final default sat ✅ 98.86510 98.91500
Yices2 Yices2-NL default unknown ❌ 2400.02000 2400.76000
Z3 z3 4.4.0 default sat ✅ 19.62650 19.63600
SMT-COMP 2016 0.80 (1/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.02345 0.02362
raSAT raSAT 0.3 default.sh unknown ❌ 2400.02000 2401.39000
raSAT 0.4 exp - final default.py unknown ❌ 2400.12000 4810.02000
SMT-RAT SMT-RAT default unknown ❌ 2400.07000 2401.50000
Yices2 Yices-2.4.2 default unknown ❌ 2400.03000 2401.36000
Z3 z3-4.4.1 default sat ✅ 0.04378 0.04532
SMT-COMP 2017 0.80 (1/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.01300 599.74300
SMT-RAT SMTRAT-comp2017_2 default unknown ❌ 600.08400 599.93000
veriT veriT+raSAT+Redlog default unknown ❌ 600.02100 729.58000
Yices2 Yices2-Main default unknown ❌ 600.02500 599.94000
Z3 z3-4.5.0 default sat ✅ 37.30550 37.29860
SMT-COMP 2018 0.80 (1/5) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.01000 1198.86000
SMT-RAT SMTRAT-Rat-final_default unknown ❌ 1200.05000 1199.71000
SMTRAT-MCSAT-final_default unknown ❌ 1200.08000 1200.10000
veriT veriT+raSAT+Reduce_default unknown ❌ 1200.01000 1199.98000
Yices2 Yices 2.6.0_default unknown ❌ 1200.03000 1199.94000
Z3 z3-4.7.1_default sat ✅ 35.70050 35.69850
SMT-COMP 2020 0.14 (6/7) CVC4 CVC4-sq-final_default sat ✅ 603.74700 601.25400
MathSAT MathSAT5_default.sh sat ✅ 0.09736 0.09730
Par4 Par4-wrapped-sq_default sat ✅ 0.07649 0.00647
SMT-RAT smtrat-CDCAC_default unknown ❌ 1200.08000 1199.90000
smtrat-MCSAT_default sat ✅ 0.05932 0.05929
veriT veriT+raSAT+Redlog_default sat ✅ 54.92670 54.91830
Yices2 Yices 2.6.2 bug fix_default unknown ❌ 1200.02000 1199.92000
Z3 z3-4.8.8_default sat ✅ 0.06392 0.06395
SMT-COMP 2022 0.44 (5/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.02000 1199.85000
MathSAT MathSAT-5.6.8_default sat ✅ 0.10110 0.10100
NRA-LS NRA-LS-FINAL_default unknown ❌ 1171.88000 1170.16000
Par4 Par4-wrapped-sq_default sat ✅ 37.26920 110.40000
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 4.15796 4.15747
veriT veriT+raSAT+Redlog_default unknown ❌ 1200.02000 1199.83000
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.02000 1200.03000
Z3 z3-4.8.17_default sat ✅ 5.08092 5.08296
Z3++ z3++0715_default sat ✅ 1.36184 1.36190
SMT-COMP 2023 0.71 (2/7) cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.01000 1181.32000
NRA-LS cvc5-NRA-LS-sq_default unknown ❌ 1170.06000 1169.96000
Par4 Par4-wrapped-sq_default sat ✅ 38.50040 115.27000
SMT-RAT SMT-RAT-MCSAT_default unknown ❌ 1200.08000 1199.95000
Yices2 Yices 2 for SMTCOMP 2023_default unknown ❌ 1200.01000 1199.95000
Z3alpha z3alpha_default sat ✅ 16.50040 16.49910
Z3++ z3++0715_default unknown ❌ 1200.02000 1199.82000
Z3++_sq_0526_default unknown ❌ 1200.02000 1200.04000
SMT-COMP 2025 0.33 (4/6) cvc5 cvc5 sat ✅ 900.48544 900.26224
SMTInterpol SMTInterpol unknown ❌ 0.53061 0.73974
SMT-RAT SMT-RAT sat ✅ 0.36806 0.24956
Yices2 Yices2 unknown ❌ 1201.27940 1200.88655
Z3alpha Z3-alpha sat ✅ 0.63103 0.63351
Z3 Z3-alpha-base sat ✅ 14.92542 14.79812
z3siri-base sat ✅ 14.95898 14.82611