Benchmark

non-incremental/QF_ABV/brummayerbiere/matrixmultcomm09.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 9 * 9 fields of bit-width 32,
and are respectively represented by a one-dimensional array.

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size132322
Compressed Size18462
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 132314
Compressed Size18364
Max. Term Depth1481
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite1 not1 =2 let1466
bvnot1 bvadd1458 bvmul1377 select324
store1620

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 Boolector Boolector sat ✅ 188.50000 —
CVC3 CVC3-1.5 sat ✅ 11.20000 —
Z3 Z3 0.1 unknown ❌ 1801.10000 —
Z3.2 sat ✅ 14.30000 —
SMT Evaluation 2013 Boolector Boolector-1.5.118-SMT-EVAL-2013 default sat ✅ 318.66800 —
Boolector-SMT-COMP-2011 default unknown ❌ — —
Boolector-SMT-COMP-2012 default sat ✅ 91.19150 —
CVC3 CVC3-SMT-COMP-2010 default sat ✅ 2.69371 —
CVC3-SMT-COMP-2011 default sat ✅ 2.47466 —
CVC3-SMT-COMP-2012 default sat ✅ 2.46307 —
CVC4 CVC4-SMT-COMP-2012-Resubmission default sat ✅ 1.07681 —
CVC4-SMT-EVAL-2013 default sat ✅ 0.55538 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default sat ✅ 43.29340 —
MathSAT5-SMT-COMP-2011 default sat ✅ 44.63410 —
MathSAT5-SMT-COMP-2012 default sat ✅ 53.47140 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default sat ✅ 5.08479 —
SONOLAR-SMT-COMP-2011 default unknown ❌ — —
SONOLAR-SMT-COMP-2012 default sat ✅ 8.11011 —
Tiffany de Wintermonte TdW-SMT-COMP-2012 default sat ✅ 109.65200 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default sat ✅ 15.00050 —
Z3-SMT-COMP-2011 default sat ✅ 10.06770 —
SMT-COMP 2014 0.29 (5/7) Boolector Boolector boolectord unknown ❌ 2399.41000 2400.11000
Boolector boolectorj unknown ❌ 2399.02000 2400.10000
CVC4 CVC4 f7118b2 default sat ✅ 0.64971 0.64790
Kleaver Kleaver-indie-more-typed kleaver_indie_1 unknown ❌ 0.04945 0.03999
Kleaver-indie-more-typed kleaver_portfolio unknown ❌ 0.06798 0.05799
MathSAT MathSAT-5.2.12-Main default sat ✅ 46.77830 46.78390
SONOLAR sonolar_smtcomp-2014 default sat ✅ 6.62406 6.62299
Yices2 Yices-2.2.1-smtcomp2014 default sat ✅ 7.35086 7.34488
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 15.38470 15.37870
SMT-COMP 2015 Boolector Boolector SMT15 QF_AUFBV final boolector_qf_aufbv sat ✅ 66.16500 66.18090
CVC4 CVC4-master-2015-06-15-9b32405-main default sat ✅ 0.65992 0.65790
CVC4-experimental-2015-06-15-ff5745a-main default sat ✅ 0.61066 0.60691
MathSAT MathSat 5.3.6 main smtcomp2015_main sat ✅ 46.26370 46.28100
Yices2 Yices default sat ✅ 7.08003 7.08192
Z3 z3 4.4.0 default sat ✅ 9.35841 9.36158
SMT-COMP 2016 Boolector Boolector boolector sat ✅ 56.04550 56.08280
CVC4 CVC4-master-2016-05-27-cfef263-main default sat ✅ 0.60912 0.60968
MathSAT mathsat-5.3.11-linux-x86_64-Main default sat ✅ 67.76830 67.80940
Yices2 Yices-2.4.2 default sat ✅ 7.33547 7.33950
Z3 z3-4.4.1 default sat ✅ 15.63100 15.63700
SMT-COMP 2017 Boolector Boolector SMT17 final boolector sat ✅ 65.04650 65.04420
CVC4 CVC4-smtcomp2017-main default sat ✅ 0.61099 0.61147
MathSAT mathsat-5.4.1-linux-x86_64-Main default sat ✅ 38.52020 38.51850
Yices2 Yices2-Main default sat ✅ 7.18997 7.18873
Z3 z3-4.5.0 default sat ✅ 32.68430 32.68140
SMT-COMP 2018 0.20 (4/5) Boolector Boolector_default sat ✅ 65.34250 65.34200
CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 0.60048 0.60064
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 33.31200 33.31080
Yices2 Yices 2.6.0_default sat ✅ 6.02186 6.02145
Z3 z3-4.7.1_default sat ✅ 12.44940 12.44950
SMT-COMP 2019 Boolector Boolector-wrapped-sq_default sat ✅ 15.83530 15.83230
Poolector-wrapped-sq_default sat ✅ 17.17740 67.64000
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default sat ✅ 0.61441 0.61474
Par4 Par4-wrapped-sq_default sat ✅ 0.68960 1.81000
Yices2 Yices 2.6.2-wrapped-sq_default sat ✅ 7.42246 7.42183
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 12.89970 12.89210
SMT-COMP 2022 Bitwuzla Bitwuzla-wrapped_default sat ✅ 16.14080 16.14010
cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 2.06624 2.06672
MathSAT MathSAT-5.6.8_default sat ✅ 72.69560 72.68910
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 7.96174 7.96005
Z3 z3-4.8.17_default sat ✅ 296.59100 296.43500
SMT-COMP 2023 0.20 (4/5) Bitwuzla Bitwuzla-fixed_default sat ✅ 0.35683 0.35661
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 2.09084 2.08861
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 5.05218 13.38950
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 7.96344 7.96300
Z3-Owl z3-Owl-Final_default sat ✅ 125.45500 124.83100
z3-Owl-Final_default sat ✅ 624.94400 624.75900
SMT-COMP 2025 0.17 (5/6) Bitwuzla Bitwuzla sat ✅ 0.44519 0.31503
cvc5 cvc5 sat ✅ 0.66252 0.54455
SMTInterpol SMTInterpol unknown ❌ 57.87175 70.07948
Yices2 Yices2 sat ✅ 5.09620 4.96781
Z3 Z3-Owl-base sat ✅ 961.47298 961.19017
Z3-Owl Z3-Owl sat ✅ 245.68324 245.50460