Benchmark

non-incremental/QF_NRA/kissing/kissing_3_6.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 6 spheres in 3 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size3401
Compressed Size651
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 3393
Compressed Size635
Max. Term Depth5
Asserts 21
Declared Functions0
Declared Constants18
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=6 +42 -90 *63
>=15

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.15891 0.15098
CVC4 CVC4 f7118b2 default unknown ❌ 0.01573 0.01300
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.31000 2400.02000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 27.39620 27.39480
SMT-COMP 2015 0.50 (3/6) CVC3 CVC3 default unknown ❌ 0.14473 0.14398
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.01600 0.01300
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01682 0.01500
raSAT raSAT default.sh sat ✅ 521.37900 521.56300
SMT-RAT SMT-RAT-final default sat ✅ 21.40160 21.41070
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.65000
Z3 z3 4.4.0 default sat ✅ 18.03310 18.04030
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01726 0.01779
raSAT raSAT 0.3 default.sh unknown ❌ 2400.07000 2401.17000
raSAT 0.4 exp - final default.py sat ✅ 589.40900 1181.11000
SMT-RAT SMT-RAT default unknown ❌ 2400.03000 2401.35000
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.30000
Z3 z3-4.4.1 default sat ✅ 17.20440 17.21600
SMT-COMP 2017 0.80 (1/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.02000 599.87000
SMT-RAT SMTRAT-comp2017_2 default unknown ❌ 600.08300 599.99300
veriT veriT+raSAT+Redlog default unknown ❌ 600.02400 727.29000
Yices2 Yices2-Main default unknown ❌ 600.05900 600.03700
Z3 z3-4.5.0 default sat ✅ 25.83430 25.83160
SMT-COMP 2018 0.80 (1/5) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.11000 1199.62000
SMT-RAT SMTRAT-Rat-final_default unknown ❌ 1200.02000 1199.88000
SMTRAT-MCSAT-final_default unknown ❌ 1200.10000 1200.00000
veriT veriT+raSAT+Reduce_default unknown ❌ 1200.11000 1200.13000
Yices2 Yices 2.6.0_default unknown ❌ 1200.02000 1199.90000
Z3 z3-4.7.1_default sat ✅ 25.92640 25.92740
SMT-COMP 2020 0.14 (6/7) CVC4 CVC4-sq-final_default sat ✅ 601.33300 600.46300
MathSAT MathSAT5_default.sh sat ✅ 0.04970 0.04966
Par4 Par4-wrapped-sq_default sat ✅ 23.19190 69.25000
SMT-RAT smtrat-CDCAC_default unknown ❌ 1200.03000 1200.01000
smtrat-MCSAT_default sat ✅ 25.72020 25.71770
veriT veriT+raSAT+Redlog_default sat ✅ 41.89200 41.89190
Yices2 Yices 2.6.2 bug fix_default unknown ❌ 1200.03000 1199.94000
Z3 z3-4.8.8_default sat ✅ 15.75430 15.75340
SMT-COMP 2021 0.60 (4/10) MathSAT mathsat-5.6.6_default sat ✅ 0.04559 0.04556
Par4 Par4-wrapped-sq_default sat ✅ 19.26050 57.48000
SMT-RAT smtrat-MCSAT_default sat ✅ 7.57124 7.57174
veriT veriT+raSAT+Redlog_default unknown ❌ 1200.10000 1199.50000
Z3 z3-4.8.11_default sat ✅ 15.91570 15.91490
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 sat ✅ 900.46860 900.09863
SMTInterpol SMTInterpol unknown ❌ 0.45377 0.58680
SMT-RAT SMT-RAT sat ✅ 1.30279 1.20290
Yices2 Yices2 unknown ❌ 1201.21281 1200.58554
Z3alpha Z3-alpha sat ✅ 15.82837 15.72892
SMT-COMP 2025 0.67 (2/6) cvc5 cvc5 unknown ❌ 1201.78777 1201.02211
SMTInterpol SMTInterpol unknown ❌ 0.47970 0.54111
SMT-RAT SMT-RAT unknown ❌ 1201.25643 1200.98369
Yices2 Yices2 unknown ❌ 1201.26836 1201.00933
Z3alpha Z3-alpha sat ✅ 0.61489 0.51558
Z3 Z3-alpha-base sat ✅ 0.32589 0.19406
z3siri-base sat ✅ 0.27505 0.16021