Benchmark

non-incremental/QF_ABV/brummayerbiere/matrixmultcomm03.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 3 * 3 fields of bit-width 32,
and are respectively represented by a one-dimensional array.

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size6161
Compressed Size1431
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 6153
Compressed Size1406
Max. Term Depth65
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite1 not1 =2 let56
bvnot1 bvadd54 bvmul45 select36
store72

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT Evaluation 2013 Boolector Boolector-1.5.118-SMT-EVAL-2013 default sat ✅ 0.99463 —
Boolector-SMT-COMP-2011 default sat ✅ 10.81970 —
Boolector-SMT-COMP-2012 default sat ✅ 0.61009 —
CVC3 CVC3-SMT-COMP-2010 default sat ✅ 0.06478 —
CVC3-SMT-COMP-2011 default sat ✅ 0.05739 —
CVC3-SMT-COMP-2012 default sat ✅ 0.05835 —
CVC4 CVC4-SMT-COMP-2012-Resubmission default sat ✅ 0.09859 —
CVC4-SMT-EVAL-2013 default sat ✅ 0.11106 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default sat ✅ 0.96701 —
MathSAT5-SMT-COMP-2011 default sat ✅ 0.53949 —
MathSAT5-SMT-COMP-2012 default sat ✅ 0.44955 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default sat ✅ 0.16558 —
SONOLAR-SMT-COMP-2011 default sat ✅ 1.13838 —
SONOLAR-SMT-COMP-2012 default sat ✅ 0.22709 —
Tiffany de Wintermonte TdW-SMT-COMP-2012 default sat ✅ 3.10520 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default sat ✅ 0.28723 —
Z3-SMT-COMP-2011 default sat ✅ 0.29772 —
SMT-COMP 2015 Boolector Boolector SMT15 QF_AUFBV final boolector_qf_aufbv sat ✅ 4.87941 4.88026
CVC4 CVC4-master-2015-06-15-9b32405-main default sat ✅ 0.13064 0.12898
CVC4-experimental-2015-06-15-ff5745a-main default sat ✅ 0.11980 0.11698
MathSAT MathSat 5.3.6 main smtcomp2015_main sat ✅ 1.03777 1.03684
Yices2 Yices default sat ✅ 0.14897 0.14798
Z3 z3 4.4.0 default sat ✅ 0.29804 0.29795
SMT-COMP 2016 Boolector Boolector boolector sat ✅ 11.88160 11.88840
CVC4 CVC4-master-2016-05-27-cfef263-main default sat ✅ 0.11956 0.11985
MathSAT mathsat-5.3.11-linux-x86_64-Main default sat ✅ 0.86003 0.86213
Yices2 Yices-2.4.2 default sat ✅ 0.15092 0.15096
Z3 z3-4.4.1 default sat ✅ 0.34974 0.35108
SMT-COMP 2017 Boolector Boolector SMT17 final boolector sat ✅ 11.67790 11.67680
CVC4 CVC4-smtcomp2017-main default sat ✅ 0.12096 0.12068
MathSAT mathsat-5.4.1-linux-x86_64-Main default sat ✅ 0.88834 0.88748
Yices2 Yices2-Main default sat ✅ 0.15209 0.14762
Z3 z3-4.5.0 default sat ✅ 0.69813 0.69712
SMT-COMP 2018 0.20 (4/5) Boolector Boolector_default sat ✅ 10.77500 10.77470
CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 0.13062 0.13084
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 0.82421 0.82510
Yices2 Yices 2.6.0_default sat ✅ 0.14258 0.14247
Z3 z3-4.7.1_default sat ✅ 0.32763 0.32751
SMT-COMP 2019 Boolector Boolector-wrapped-sq_default sat ✅ 0.45150 0.45149
Poolector-wrapped-sq_default sat ✅ 0.70928 1.12485
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default sat ✅ 0.13539 0.13574
Par4 Par4-wrapped-sq_default sat ✅ 0.14638 0.00746
Yices2 Yices 2.6.2-wrapped-sq_default sat ✅ 0.15500 0.15501
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 0.34193 0.34194
SMT-COMP 2020 Bitwuzla Bitwuzla-fixed_default sat ✅ 0.44739 0.44734
Boolector Boolector-wrapped-sq_default sat ✅ 0.44890 0.44891
CVC4 CVC4-sq-final_default sat ✅ 0.13316 0.13342
MathSAT MathSAT5_default.sh sat ✅ 1.53426 1.53416
Par4 Par4-wrapped-sq_default sat ✅ 0.14559 0.00587
Yices2 Yices 2.6.2 bug fix_default sat ✅ 0.15987 0.15983
Z3 z3-4.8.8_default sat ✅ 0.48927 0.48920
SMT-COMP 2023 0.20 (4/5) Bitwuzla Bitwuzla-fixed_default sat ✅ 0.06855 0.06852
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.18137 0.18195
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 4.46246 11.88230
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.15610 0.15607
Z3-Owl z3-Owl-Final_default sat ✅ 1.15763 1.15763
z3-Owl-Final_default sat ✅ 1.04839 1.04864
SMT-COMP 2025 0.17 (5/6) Bitwuzla Bitwuzla sat ✅ 0.26698 0.14828
cvc5 cvc5 sat ✅ 0.39020 0.25367
SMTInterpol SMTInterpol unknown ❌ 0.89845 2.00032
Yices2 Yices2 sat ✅ 0.34546 0.22865
Z3 Z3-Owl-base sat ✅ 1.15329 1.02623
Z3-Owl Z3-Owl sat ✅ 1.07381 0.94990