Benchmark

non-incremental/QF_NRA/kissing/kissing_3_10.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 10 spheres in 3 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size7982
Compressed Size921
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 7974
Compressed Size898
Max. Term Depth5
Asserts 55
Declared Functions0
Declared Constants30
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=10 +110 -270 *165
>=45

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.44402 0.43593
CVC4 CVC4 f7118b2 default unknown ❌ 0.03835 0.02499
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.08000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 130.90000 130.91600
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.43824 0.43793
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.02913 0.02700
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.02957 0.02700
raSAT raSAT default.sh unknown ❌ 2400.01000 2400.95000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.92000
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.97000
Z3 z3 4.4.0 default sat ✅ 29.76460 29.77650
SMT-COMP 2016 0.80 (1/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.03072 0.03114
raSAT raSAT 0.3 default.sh unknown ❌ 2400.01000 2401.39000
raSAT 0.4 exp - final default.py unknown ❌ 2400.02000 4809.87000
SMT-RAT SMT-RAT default unknown ❌ 2400.08000 2401.39000
Yices2 Yices-2.4.2 default unknown ❌ 2400.11000 2401.25000
Z3 z3-4.4.1 default sat ✅ 47.60930 47.64130
SMT-COMP 2017 0.80 (1/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.02400 599.71000
SMT-RAT SMTRAT-comp2017_2 default unknown ❌ 600.08900 600.02000
veriT veriT+raSAT+Redlog default unknown ❌ 600.09200 722.41000
Yices2 Yices2-Main default unknown ❌ 600.01700 599.93000
Z3 z3-4.5.0 default sat ✅ 101.59300 101.59700
SMT-COMP 2018 0.80 (1/5) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.08000 1198.47000
SMT-RAT SMTRAT-Rat-final_default unknown ❌ 1200.04000 1200.01000
SMTRAT-MCSAT-final_default unknown ❌ 1200.03000 1199.98000
veriT veriT+raSAT+Reduce_default unknown ❌ 1200.01000 1199.88000
Yices2 Yices 2.6.0_default unknown ❌ 1200.02000 1199.79000
Z3 z3-4.7.1_default sat ✅ 126.78800 126.77500
SMT-COMP 2019 0.71 (2/7) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.01000 2397.41000
CVC4-SymBreak_03_06_2019-wrapped-sq_default unknown ❌ 2400.11000 2398.19000
MathSAT mathsat-20190601-wrapped-sq_default unknown ❌ 2400.02000 2399.77000
mathsat-na-20190601-wrapped-sq_default unknown ❌ 2400.10000 2400.01000
Par4 Par4-wrapped-sq_default sat ✅ 161.67400 484.85000
SMT-RAT SMTRAT-5-wrapped-sq_default unknown ❌ 2400.02000 2399.70000
SMTRAT-MCSAT-4-wrapped-sq_default unknown ❌ 2400.03000 2400.06000
veriT veriT+raSAT+Redlog-wrapped-sq_default unknown ❌ 2400.09000 2400.06000
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.10000 2399.88000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 148.89800 148.88800
z3-4.7.1_default sat ✅ 147.79200 147.74400
SMT-COMP 2020 0.71 (2/7) CVC4 CVC4-sq-final_default unknown ❌ 1200.10000 1192.23000
MathSAT MathSAT5_default.sh unknown ❌ 1200.11000 1199.95000
Par4 Par4-wrapped-sq_default sat ✅ 181.10500 543.21000
SMT-RAT smtrat-CDCAC_default unknown ❌ 1200.01000 1199.53000
smtrat-MCSAT_default unknown ❌ 1200.02000 1199.82000
veriT veriT+raSAT+Redlog_default unknown ❌ 1200.02000 1199.87000
Yices2 Yices 2.6.2 bug fix_default unknown ❌ 1200.02000 1200.00000
Z3 z3-4.8.8_default sat ✅ 26.12210 26.12310
SMT-COMP 2022 0.78 (2/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.07000 1200.02000
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.02000 1199.87000
NRA-LS NRA-LS-FINAL_default unknown ❌ 1170.08000 1170.04000
Par4 Par4-wrapped-sq_default sat ✅ 164.14400 324.57000
SMT-RAT SMT-RAT-MCSAT_default unknown ❌ 1200.03000 1199.52000
veriT veriT+raSAT+Redlog_default unknown ❌ 1200.06000 1200.00000
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.08000 1199.85000
Z3 z3-4.8.17_default sat ✅ 22.94490 22.94850
Z3++ z3++0715_default unknown ❌ 1200.03000 1199.90000
SMT-COMP 2025 1.00 (0/6) cvc5 cvc5 unknown ❌ 1201.76880 1201.02982
SMTInterpol SMTInterpol unknown ❌ 0.55322 0.81429
SMT-RAT SMT-RAT unknown ❌ 1201.28761 1201.02157
Yices2 Yices2 unknown ❌ 1201.25522 1201.02548
Z3alpha Z3-alpha unknown ❌ 1201.00572 4802.17991
Z3 Z3-alpha-base unknown ❌ 1201.27282 1201.00696
z3siri-base unknown ❌ 1201.26509 1201.03766