Benchmark

non-incremental/QF_NRA/kissing/kissing_3_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 3 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size2586
Compressed Size599
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 2578
Compressed Size584
Max. Term Depth5
Asserts 15
Declared Functions0
Declared Constants15
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=5 +30 -60 *45
>=10

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.10963 0.10098
CVC4 CVC4 f7118b2 default unknown ❌ 0.02448 0.01200
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 ✅ 19.94850 19.94800
SMT-COMP 2015 0.50 (3/6) CVC3 CVC3 default unknown ❌ 0.09762 0.09698
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.01405 0.01200
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.01447 0.01200
raSAT raSAT default.sh sat ✅ 28.91550 28.92660
SMT-RAT SMT-RAT-final default sat ✅ 23.32580 23.33250
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.66000
Z3 z3 4.4.0 default sat ✅ 0.03453 0.03499
SMT-COMP 2016 0.60 (2/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.01478 0.01495
raSAT raSAT 0.3 default.sh unknown ❌ 2400.01000 2401.60000
raSAT 0.4 exp - final default.py sat ✅ 157.98900 316.38000
SMT-RAT SMT-RAT default unknown ❌ 2400.05000 2401.40000
Yices2 Yices-2.4.2 default unknown ❌ 2400.03000 2401.39000
Z3 z3-4.4.1 default sat ✅ 0.03389 0.03520
SMT-COMP 2017 0.60 (2/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.01600 597.98000
SMT-RAT SMTRAT-comp2017_2 default unknown ❌ 600.02300 599.99000
veriT veriT+raSAT+Redlog default sat ✅ 64.32240 77.89740
Yices2 Yices2-Main default unknown ❌ 600.09400 600.07000
Z3 z3-4.5.0 default sat ✅ 19.99200 19.98820
SMT-COMP 2018 0.60 (2/5) CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 603.39500 600.48100
SMT-RAT SMTRAT-Rat-final_default unknown ❌ 1200.10000 1199.97000
SMTRAT-MCSAT-final_default unknown ❌ 1200.01000 1199.87000
veriT veriT+raSAT+Reduce_default unknown ❌ 1200.01000 1199.98000
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.90000
Z3 z3-4.7.1_default sat ✅ 17.63420 17.63080
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 sat ✅ 0.27309 0.17365
SMTInterpol SMTInterpol unknown ❌ 0.46728 0.52771
SMT-RAT SMT-RAT sat ✅ 2.55770 2.45800
Yices2 Yices2 unknown ❌ 1201.24877 1201.13374
Z3alpha Z3-alpha sat ✅ 15.55907 15.45884
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 900.31835 900.09739
SMTInterpol SMTInterpol unknown ❌ 0.47904 0.50792
SMT-RAT SMT-RAT sat ✅ 0.32144 0.19707
Yices2 Yices2 sat ✅ 0.25229 0.13406
Z3alpha Z3-alpha sat ✅ 0.61590 0.49889
Z3 Z3-alpha-base sat ✅ 14.34331 14.21518
z3siri-base sat ✅ 14.32472 14.20596