Benchmark

non-incremental/QF_ABV/brummayerbiere/matrixmultcomm02.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 2 * 2 fields of bit-width 32,
and are respectively represented by a one-dimensional array.

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size2542
Compressed Size807
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 2534
Compressed Size803
Max. Term Depth25
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite1 not1 =2 let17
bvnot1 bvadd16 bvmul12 select16
store24

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 Boolector Boolector sat ✅ 0.30000 —
CVC3 CVC3-1.5 sat ✅ — —
Z3 Z3 0.1 sat ✅ 0.40000 —
Z3.2 sat ✅ 0.10000 —
SMT Evaluation 2013 0.71 (2/7) Boolector Boolector-1.5.118-SMT-EVAL-2013 default unknown ❌ — —
Boolector-SMT-COMP-2011 default unknown ❌ — —
Boolector-SMT-COMP-2012 default unknown ❌ — —
CVC3 CVC3-SMT-COMP-2010 default unknown ❌ — —
CVC3-SMT-COMP-2011 default unknown ❌ — —
CVC3-SMT-COMP-2012 default unknown ❌ — —
CVC4 CVC4-SMT-COMP-2012-Resubmission default unknown ❌ — —
CVC4-SMT-EVAL-2013 default sat ✅ 0.06756 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unknown ❌ — —
MathSAT5-SMT-COMP-2011 default unknown ❌ — —
MathSAT5-SMT-COMP-2012 default unknown ❌ — —
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 unknown ❌ — —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default sat ✅ 0.07497 —
Z3-SMT-COMP-2011 default unknown ❌ — —
SMT-COMP 2014 Boolector Boolector boolectord sat ✅ 3.29128 3.28150
Boolector boolectorj sat ✅ 3.27717 3.26650
CVC4 CVC4 f7118b2 default sat ✅ 0.08429 0.07399
Kleaver Kleaver-indie-more-typed kleaver_indie_1 unsat ✅ 0.02016 0.01100
Kleaver-indie-more-typed kleaver_portfolio unsat ✅ 0.02081 0.01200
MathSAT MathSAT-5.2.12-Main default sat ✅ 0.26605 0.25796
SONOLAR sonolar_smtcomp-2014 default sat ✅ 0.06042 0.04699
Yices2 Yices-2.2.1-smtcomp2014 default sat ✅ 0.07320 0.06399
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 0.08601 0.07499
SMT-COMP 2015 Boolector Boolector SMT15 QF_AUFBV final boolector_qf_aufbv sat ✅ 1.23699 1.23681
CVC4 CVC4-master-2015-06-15-9b32405-main default sat ✅ 0.07940 0.07699
CVC4-experimental-2015-06-15-ff5745a-main default sat ✅ 0.07572 0.07299
MathSAT MathSat 5.3.6 main smtcomp2015_main sat ✅ 0.27298 0.27196
Yices2 Yices default sat ✅ 0.06479 0.06399
Z3 z3 4.4.0 default sat ✅ 0.09346 0.09298
SMT-COMP 2016 Boolector Boolector boolector sat ✅ 3.16036 3.16243
CVC4 CVC4-master-2016-05-27-cfef263-main default sat ✅ 0.07567 0.07605
MathSAT mathsat-5.3.11-linux-x86_64-Main default sat ✅ 0.20664 0.20773
Yices2 Yices-2.4.2 default sat ✅ 0.06604 0.06605
Z3 z3-4.4.1 default sat ✅ 0.09457 0.09591
SMT-COMP 2017 Boolector Boolector SMT17 final boolector sat ✅ 3.08466 3.08480
CVC4 CVC4-smtcomp2017-main default sat ✅ 0.07596 0.07521
MathSAT mathsat-5.4.1-linux-x86_64-Main default sat ✅ 0.21252 0.21298
Yices2 Yices2-Main default sat ✅ 0.06604 0.06609
Z3 z3-4.5.0 default sat ✅ 0.15276 0.15188
SMT-COMP 2018 0.20 (4/5) Boolector Boolector_default sat ✅ 6.08599 6.08573
CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 0.07802 0.07827
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 0.19727 0.19826
Yices2 Yices 2.6.0_default sat ✅ 0.06537 0.06526
Z3 z3-4.7.1_default sat ✅ 0.09876 0.09871
SMT-COMP 2019 Boolector Boolector-wrapped-sq_default sat ✅ 0.72505 0.72506
Poolector-wrapped-sq_default sat ✅ 0.58966 1.95000
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default sat ✅ 0.08435 0.08466
Par4 Par4-wrapped-sq_default sat ✅ 0.08051 0.00898
Yices2 Yices 2.6.2-wrapped-sq_default sat ✅ 0.06821 0.06821
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 0.11271 0.11271
SMT-COMP 2021 MathSAT mathsat-5.6.6_default sat ✅ 0.34506 0.34496
Yices2 Yices 2.6.2 bug fix_default sat ✅ 0.06898 0.06896
Yices 2.6.2 for SMTCOMP2020_default sat ✅ 0.07033 0.07023
Z3 z3-4.8.11_default sat ✅ 0.08328 0.08307
SMT-COMP 2025 0.17 (5/6) Bitwuzla Bitwuzla sat ✅ 0.27799 0.15783
cvc5 cvc5 sat ✅ 0.29944 0.18200
SMTInterpol SMTInterpol unknown ❌ 0.67109 1.06723
Yices2 Yices2 sat ✅ 0.32188 0.19464
Z3 Z3-Owl-base sat ✅ 0.42577 0.30899
Z3-Owl Z3-Owl sat ✅ 0.83488 0.71708