Benchmark

non-incremental/QF_ABV/brummayerbiere/matrixmultcomm08.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 8 * 8 fields of bit-width 32,
and are respectively represented by a one-dimensional array.

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size93205
Compressed Size14468
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 93197
Compressed Size14484
Max. Term Depth1045
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite1 not1 =2 let1031
bvnot1 bvadd1024 bvmul960 select256
store1152

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT Evaluation 2013 0.14 (6/7) Boolector Boolector-1.5.118-SMT-EVAL-2013 default sat ✅ 161.77500 —
Boolector-SMT-COMP-2011 default unknown ❌ — —
Boolector-SMT-COMP-2012 default sat ✅ 51.07090 —
CVC3 CVC3-SMT-COMP-2010 default sat ✅ 2.84721 —
CVC3-SMT-COMP-2011 default sat ✅ 2.70632 —
CVC3-SMT-COMP-2012 default sat ✅ 2.70093 —
CVC4 CVC4-SMT-COMP-2012-Resubmission default sat ✅ 0.66622 —
CVC4-SMT-EVAL-2013 default sat ✅ 0.42361 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default sat ✅ 28.43710 —
MathSAT5-SMT-COMP-2011 default sat ✅ 86.16430 —
MathSAT5-SMT-COMP-2012 default sat ✅ 77.39880 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unknown ❌ — —
SONOLAR-SMT-COMP-2011 default unknown ❌ — —
SONOLAR-SMT-COMP-2012 default unknown ❌ — —
Tiffany de Wintermonte TdW-SMT-COMP-2012 default sat ✅ 75.27610 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default sat ✅ 12.07410 —
Z3-SMT-COMP-2011 default sat ✅ 7.31809 —
SMT-COMP 2014 0.29 (5/7) Boolector Boolector boolectord unknown ❌ 2399.02000 2400.01000
Boolector boolectorj unknown ❌ 2399.12000 2400.08000
CVC4 CVC4 f7118b2 default sat ✅ 0.49218 0.48192
Kleaver Kleaver-indie-more-typed kleaver_indie_1 unknown ❌ 0.04095 0.03199
Kleaver-indie-more-typed kleaver_portfolio unknown ❌ 0.06592 0.05599
MathSAT MathSAT-5.2.12-Main default sat ✅ 30.26170 30.27240
SONOLAR sonolar_smtcomp-2014 default sat ✅ 111.17100 111.21400
Yices2 Yices-2.2.1-smtcomp2014 default sat ✅ 9.39381 9.39457
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 6.86508 6.85996
SMT-COMP 2015 Boolector Boolector SMT15 QF_AUFBV final boolector_qf_aufbv sat ✅ 45.19940 45.22010
CVC4 CVC4-master-2015-06-15-9b32405-main default sat ✅ 0.50093 0.49892
CVC4-experimental-2015-06-15-ff5745a-main default sat ✅ 0.45864 0.45593
MathSAT MathSat 5.3.6 main smtcomp2015_main sat ✅ 29.20250 29.21560
Yices2 Yices default sat ✅ 9.16908 9.17061
Z3 z3 4.4.0 default sat ✅ 11.39200 11.39630
SMT-COMP 2016 Boolector Boolector boolector sat ✅ 52.85250 52.87910
CVC4 CVC4-master-2016-05-27-cfef263-main default sat ✅ 0.45137 0.45184
MathSAT mathsat-5.3.11-linux-x86_64-Main default sat ✅ 25.37080 25.38470
Yices2 Yices-2.4.2 default sat ✅ 9.28401 9.28914
Z3 z3-4.4.1 default sat ✅ 7.03763 7.04328
SMT-COMP 2017 Boolector Boolector SMT17 final boolector sat ✅ 45.22470 45.21730
CVC4 CVC4-smtcomp2017-main default sat ✅ 0.45854 0.45798
MathSAT mathsat-5.4.1-linux-x86_64-Main default sat ✅ 26.18200 26.17900
Yices2 Yices2-Main default sat ✅ 9.34130 9.34072
Z3 z3-4.5.0 default sat ✅ 17.61200 17.61060
SMT-COMP 2018 0.20 (4/5) Boolector Boolector_default sat ✅ 83.47240 83.47140
CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 0.49161 0.49183
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 28.27710 28.27420
Yices2 Yices 2.6.0_default sat ✅ 9.02230 9.02034
Z3 z3-4.7.1_default sat ✅ 12.55420 12.55440
SMT-COMP 2019 Boolector Boolector-wrapped-sq_default sat ✅ 24.02280 24.01820
Poolector-wrapped-sq_default sat ✅ 26.40300 104.13000
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default sat ✅ 0.50529 0.50561
Par4 Par4-wrapped-sq_default sat ✅ 0.56685 1.59000
Yices2 Yices 2.6.2-wrapped-sq_default sat ✅ 9.52440 9.52363
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 11.18030 11.17960
SMT-COMP 2020 Bitwuzla Bitwuzla-fixed_default sat ✅ 21.65090 21.65150
Boolector Boolector-wrapped-sq_default sat ✅ 24.25770 24.25380
CVC4 CVC4-sq-final_default sat ✅ 0.52630 0.52663
MathSAT MathSAT5_default.sh sat ✅ 43.12650 43.12150
Par4 Par4-wrapped-sq_default sat ✅ 0.56520 0.00622
Yices2 Yices 2.6.2 bug fix_default sat ✅ 9.68872 9.68797
Z3 z3-4.8.8_default sat ✅ 7.33559 7.33447
SMT-COMP 2023 0.20 (4/5) Bitwuzla Bitwuzla-fixed_default sat ✅ 0.48293 0.48284
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 1.89567 1.89613
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 4.74596 13.04330
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 9.80516 9.80473
Z3-Owl z3-Owl-Final_default sat ✅ 62.89310 62.88760
z3-Owl-Final_default sat ✅ 134.25400 134.22100
SMT-COMP 2024 0.25 (3/4) Bitwuzla Bitwuzla sat ✅ 0.50381 0.40291
cvc5 cvc5 sat ✅ 1.69656 1.59675
SMTInterpol SMTInterpol unknown ❌ 1201.72114 1229.63892
Yices2 Yices2 sat ✅ 7.03961 6.93450
SMT-COMP 2025 0.17 (5/6) Bitwuzla Bitwuzla sat ✅ 0.40019 0.27266
cvc5 cvc5 sat ✅ 24.33093 24.19214
SMTInterpol SMTInterpol unknown ❌ 25.42946 39.29005
Yices2 Yices2 sat ✅ 5.84260 5.71160
Z3 Z3-Owl-base sat ✅ 68.02857 67.89032
Z3-Owl Z3-Owl sat ✅ 44.37545 44.24035