Benchmark

non-incremental/QF_ABV/brummayerbiere/matrixmultcomm04.smt2 

This benchmark shows that matrix multiplicationis not commutative in general.
We try to show that A x B = B x A, which is generally not the case.
The matrices have 4 * 4 fields of bit-width 32,
and are respectively represented by a one-dimensional array.

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size13057
Compressed Size2513
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categorycrafted
First Occurrence2008-07-07
Generated By—
Generated On—
Generator—
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status sat
Inferred Status sat
Size 13049
Compressed Size2501
Max. Term Depth141
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite1 not1 =2 let131
bvnot1 bvadd128 bvmul112 select64
store160

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT Evaluation 2013 Boolector Boolector-1.5.118-SMT-EVAL-2013 default sat ✅ 10.47690 —
Boolector-SMT-COMP-2011 default sat ✅ 39.90180 —
Boolector-SMT-COMP-2012 default sat ✅ 2.09267 —
CVC3 CVC3-SMT-COMP-2010 default sat ✅ 0.59022 —
CVC3-SMT-COMP-2011 default sat ✅ 0.56116 —
CVC3-SMT-COMP-2012 default sat ✅ 0.55088 —
CVC4 CVC4-SMT-COMP-2012-Resubmission default sat ✅ 0.15450 —
CVC4-SMT-EVAL-2013 default sat ✅ 0.16129 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default sat ✅ 2.25062 —
MathSAT5-SMT-COMP-2011 default sat ✅ 1.27722 —
MathSAT5-SMT-COMP-2012 default sat ✅ 1.21871 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default sat ✅ 2.04047 —
SONOLAR-SMT-COMP-2011 default sat ✅ 13.02520 —
SONOLAR-SMT-COMP-2012 default sat ✅ 2.39890 —
Tiffany de Wintermonte TdW-SMT-COMP-2012 default sat ✅ 7.98067 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default sat ✅ 0.91362 —
Z3-SMT-COMP-2011 default sat ✅ 0.91981 —
SMT-COMP 2014 0.14 (6/7) Boolector Boolector boolectord sat ✅ 342.46800 342.59300
Boolector boolectorj sat ✅ 342.14500 342.19200
CVC4 CVC4 f7118b2 default sat ✅ 0.18108 0.17897
Kleaver Kleaver-indie-more-typed kleaver_indie_1 unknown ❌ 0.02569 0.01700
Kleaver-indie-more-typed kleaver_portfolio unknown ❌ 0.04084 0.03199
MathSAT MathSAT-5.2.12-Main default sat ✅ 2.77661 2.76958
SONOLAR sonolar_smtcomp-2014 default sat ✅ 7.28310 7.28289
Yices2 Yices-2.2.1-smtcomp2014 default sat ✅ 0.86851 0.85987
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 2.61668 2.61760
SMT-COMP 2015 Boolector Boolector SMT15 QF_AUFBV final boolector_qf_aufbv sat ✅ 8.20846 8.20975
CVC4 CVC4-master-2015-06-15-9b32405-main default sat ✅ 0.18769 0.18597
CVC4-experimental-2015-06-15-ff5745a-main default sat ✅ 0.17409 0.17097
MathSAT MathSat 5.3.6 main smtcomp2015_main sat ✅ 2.74446 2.74458
Yices2 Yices default sat ✅ 0.83206 0.83087
Z3 z3 4.4.0 default sat ✅ 0.89046 0.89086
SMT-COMP 2016 Boolector Boolector boolector sat ✅ 13.89250 13.90040
CVC4 CVC4-master-2016-05-27-cfef263-main default sat ✅ 0.17176 0.17207
MathSAT mathsat-5.3.11-linux-x86_64-Main default sat ✅ 2.25471 2.25669
Yices2 Yices-2.4.2 default sat ✅ 0.83125 0.83165
Z3 z3-4.4.1 default sat ✅ 0.91318 0.91494
SMT-COMP 2017 Boolector Boolector SMT17 final boolector sat ✅ 15.05840 14.77670
CVC4 CVC4-smtcomp2017-main default sat ✅ 0.17441 0.17434
MathSAT mathsat-5.4.1-linux-x86_64-Main default sat ✅ 2.07509 2.07473
Yices2 Yices2-Main default sat ✅ 0.85556 0.85474
Z3 z3-4.5.0 default sat ✅ 1.02619 1.01161
SMT-COMP 2018 0.20 (4/5) Boolector Boolector_default sat ✅ 13.68080 13.67950
CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 0.18743 0.18767
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 2.40117 2.40180
Yices2 Yices 2.6.0_default sat ✅ 0.80870 0.80839
Z3 z3-4.7.1_default sat ✅ 1.08915 2.09895
SMT-COMP 2020 Bitwuzla Bitwuzla-fixed_default sat ✅ 2.28154 2.28128
Boolector Boolector-wrapped-sq_default sat ✅ 2.55810 2.55799
CVC4 CVC4-sq-final_default sat ✅ 0.19370 0.19399
MathSAT MathSAT5_default.sh sat ✅ 3.81065 3.81009
Par4 Par4-wrapped-sq_default sat ✅ 0.21955 0.00647
Yices2 Yices 2.6.2 bug fix_default sat ✅ 0.75985 0.75973
Z3 z3-4.8.8_default sat ✅ 1.02254 1.02252
SMT-COMP 2022 Bitwuzla Bitwuzla-wrapped_default sat ✅ 2.32569 2.32524
cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.26718 0.26772
MathSAT MathSAT-5.6.8_default sat ✅ 3.78265 3.78225
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.85955 0.85950
Z3 z3-4.8.17_default sat ✅ 2.49996 2.50186
SMT-COMP 2023 0.20 (4/5) Bitwuzla Bitwuzla-fixed_default sat ✅ 0.17978 0.17957
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.28564 0.28568
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 4.58156 11.92150
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.85926 0.85911
Z3-Owl z3-Owl-Final_default sat ✅ 2.80450 2.29660
z3-Owl-Final_default sat ✅ 2.07205 2.06178