Benchmark

non-incremental/QF_NRA/kissing/kissing_4_12.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 12 spheres in 4 dimensions

Submitted to SMT-LIB by Dejan Jovanovic.
Benchmark
Size14480
Compressed Size1570
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 14472
Compressed Size1537
Max. Term Depth6
Asserts 78
Declared Functions0
Declared Constants48
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

=12 +234 -528 *312
>=66

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.75 (1/4) CVC3 CVC3 default unknown ❌ 0.89233 0.88386
CVC4 CVC4 f7118b2 default unknown ❌ 0.05222 0.04199
raSAT raSAT-main-track-final default.sh unknown ❌ 2399.12000 2400.07000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 189.73300 189.76000
SMT-COMP 2015 0.83 (1/6) CVC3 CVC3 default unknown ❌ 0.92331 0.92286
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 0.04661 0.04499
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 0.04714 0.04499
raSAT raSAT default.sh unknown ❌ 2400.01000 2401.03000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.60000
Yices2 Yices2-NL default unknown ❌ 2400.01000 2400.76000
Z3 z3 4.4.0 default sat ✅ 51.05330 51.07920
SMT-COMP 2016 0.80 (1/5) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.04528 0.04544
raSAT raSAT 0.3 default.sh unknown ❌ 2400.03000 2401.62000
raSAT 0.4 exp - final default.py unknown ❌ 2400.02000 4809.67000
SMT-RAT SMT-RAT default unknown ❌ 2400.02000 2401.26000
Yices2 Yices-2.4.2 default unknown ❌ 2400.11000 2401.10000
Z3 z3-4.4.1 default sat ✅ 42.39910 42.42060
SMT-COMP 2017 0.80 (1/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.02300 599.48700
SMT-RAT SMTRAT-comp2017_2 default unknown ❌ 600.02000 599.98000
veriT veriT+raSAT+Redlog default unknown ❌ 600.07900 721.04000
Yices2 Yices2-Main default unknown ❌ 600.02100 599.97100
Z3 z3-4.5.0 default sat ✅ 230.31100 230.21100
SMT-COMP 2018 0.80 (1/5) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.10000 1197.41000
SMT-RAT SMTRAT-Rat-final_default unknown ❌ 1200.03000 1199.73000
SMTRAT-MCSAT-final_default unknown ❌ 1200.05000 1199.98000
veriT veriT+raSAT+Reduce_default unknown ❌ 1200.02000 1199.90000
Yices2 Yices 2.6.0_default unknown ❌ 1200.02000 1199.91000
Z3 z3-4.7.1_default sat ✅ 108.41000 108.40600
SMT-COMP 2019 0.71 (2/7) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.02000 2395.89000
CVC4-SymBreak_03_06_2019-wrapped-sq_default unknown ❌ 2400.01000 2391.17000
MathSAT mathsat-20190601-wrapped-sq_default unknown ❌ 2400.03000 2399.81000
mathsat-na-20190601-wrapped-sq_default unknown ❌ 2400.02000 2399.56000
Par4 Par4-wrapped-sq_default sat ✅ 191.05400 572.88000
SMT-RAT SMTRAT-5-wrapped-sq_default unknown ❌ 1610.03000 1609.60000
SMTRAT-MCSAT-4-wrapped-sq_default unknown ❌ 2400.01000 2399.97000
veriT veriT+raSAT+Redlog-wrapped-sq_default unknown ❌ 2400.10000 2399.92000
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.02000 2399.52000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 178.03200 178.01300
z3-4.7.1_default sat ✅ 178.02100 178.01900
SMT-COMP 2020 0.71 (2/7) CVC4 CVC4-sq-final_default unknown ❌ 1200.01000 1197.31000
MathSAT MathSAT5_default.sh unknown ❌ 1200.02000 1199.86000
Par4 Par4-wrapped-sq_default sat ✅ 161.66400 484.69000
SMT-RAT smtrat-CDCAC_default unknown ❌ 1200.07000 1199.88000
smtrat-MCSAT_default unknown ❌ 47.03090 47.03110
veriT veriT+raSAT+Redlog_default unknown ❌ 1200.11000 1200.02000
Yices2 Yices 2.6.2 bug fix_default unknown ❌ 1200.07000 1199.69000
Z3 z3-4.8.8_default sat ✅ 28.53300 28.53370
SMT-COMP 2022 0.78 (2/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.12000 1194.96000
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.11000 1200.03000
NRA-LS NRA-LS-FINAL_default unknown ❌ 1170.08000 1169.92000
Par4 Par4-wrapped-sq_default sat ✅ 279.96200 828.54000
SMT-RAT SMT-RAT-MCSAT_default unknown ❌ 1200.02000 1199.93000
veriT veriT+raSAT+Redlog_default unknown ❌ 1200.02000 1199.92000
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.11000 1199.99000
Z3 z3-4.8.17_default sat ✅ 57.52170 57.50930
Z3++ z3++0715_default unknown ❌ 1200.04000 1200.01000
SMT-COMP 2025 1.00 (0/6) cvc5 cvc5 unknown ❌ 1201.76958 1201.01118
SMTInterpol SMTInterpol unknown ❌ 0.62383 1.05717
SMT-RAT SMT-RAT unknown ❌ 1201.29529 1201.05391
Yices2 Yices2 unknown ❌ 1201.29057 1200.91795
Z3alpha Z3-alpha unknown ❌ 1201.00450 4801.98182
Z3 Z3-alpha-base unknown ❌ 1201.26038 1201.02016
z3siri-base unknown ❌ 1201.25615 1201.05544