Benchmark

non-incremental/QF_ABV/brummayerbiere/matrixmultcomm06.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 6 * 6 fields of bit-width 32,
and are respectively represented by a one-dimensional array.

Contributed by Robert Brummayer (robert.brummayer@gmail.com).

Benchmark
Size	40508
Compressed Size	6816
License	Creative Commons Attribution 4.0 International (CC-BY-4.0)
Category	crafted
First Occurrence	2008-07-07
Generated By	—
Generated On	—
Generator	—
Dolmen OK	1
strict Dolmen OK	1
check-sat calls	1

Query 1

Status	sat
Inferred Status	sat
Size	40500
Compressed Size	6826
Max. Term Depth	449
Asserts	1
Declared Functions	0
Declared Constants	4
Declared Sorts	0
Defined Functions	0
Defined Recursive Functions	0
Defined Sorts	0
Constants	0
Declared Datatypes	0

Symbols

ite	1	not	1	=	2	let	437
bvnot	1	bvadd	432	bvmul	396	select	144
store	504

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2008		Boolector	Boolector	sat ✅	28.10000	—
		CVC3	CVC3-1.5	sat ✅	2.50000	—
		Z3	Z3 0.1	sat ✅	175.60000	—
			Z3.2	sat ✅	7.10000	—
SMT Evaluation 2013	1.00 (0/7)	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	unknown ❌	—	—
		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	unknown ❌	—	—
			Z3-SMT-COMP-2011 default	unknown ❌	—	—
SMT-COMP 2014	0.29 (5/7)	Boolector	Boolector boolectord	unknown ❌	2399.02000	2400.01000
			Boolector boolectorj	unknown ❌	2399.12000	2400.07000
		CVC4	CVC4 f7118b2 default	sat ✅	0.33644	0.32595
		Kleaver	Kleaver-indie-more-typed kleaver_indie_1	unknown ❌	0.03050	0.02200
			Kleaver-indie-more-typed kleaver_portfolio	unknown ❌	0.04524	0.03699
		MathSAT	MathSAT-5.2.12-Main default	sat ✅	11.36510	11.36830
		SONOLAR	sonolar_smtcomp-2014 default	sat ✅	1.61371	1.59976
		Yices2	Yices-2.2.1-smtcomp2014 default	sat ✅	1.72782	1.71974
		Z3	Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default	sat ✅	2.34742	2.33964
SMT-COMP 2015		Boolector	Boolector SMT15 QF_AUFBV final boolector_qf_aufbv	sat ✅	18.26280	18.26920
		CVC4	CVC4-master-2015-06-15-9b32405-main default	sat ✅	0.35116	0.34895
			CVC4-experimental-2015-06-15-ff5745a-main default	sat ✅	0.31219	0.30895
		MathSAT	MathSat 5.3.6 main smtcomp2015_main	sat ✅	11.50550	11.50720
		Yices2	Yices default	sat ✅	1.67312	1.67274
		Z3	z3 4.4.0 default	sat ✅	3.08404	3.08553
SMT-COMP 2016		Boolector	Boolector boolector	sat ✅	19.58970	19.60090
		CVC4	CVC4-master-2016-05-27-cfef263-main default	sat ✅	0.57286	0.57353
		MathSAT	mathsat-5.3.11-linux-x86_64-Main default	sat ✅	8.04492	8.05046
		Yices2	Yices-2.4.2 default	sat ✅	1.67186	1.67275
		Z3	z3-4.4.1 default	sat ✅	2.24068	2.24335
SMT-COMP 2017		Boolector	Boolector SMT17 final boolector	sat ✅	20.31360	20.31340
		CVC4	CVC4-smtcomp2017-main default	sat ✅	0.31049	0.31002
		MathSAT	mathsat-5.4.1-linux-x86_64-Main default	sat ✅	9.68970	9.68955
		Yices2	Yices2-Main default	sat ✅	1.63670	1.63618
		Z3	z3-4.5.0 default	sat ✅	3.20619	3.20519
SMT-COMP 2018	0.20 (4/5)	Boolector	Boolector_default	sat ✅	21.13280	21.13110
		CVC4	master-2018-06-10-b19c840-competition-default_default	sat ✅	0.32270	0.32297
		MathSAT	mathsat-5.5.2-linux-x86_64-Main_default	unknown ❌	10.45420	10.45460
		Yices2	Yices 2.6.0_default	sat ✅	1.52397	1.52376
		Z3	z3-4.7.1_default	sat ✅	2.77965	2.77946
SMT-COMP 2025	0.17 (5/6)	Bitwuzla	Bitwuzla	sat ✅	0.29968	0.18108
		cvc5	cvc5	sat ✅	9.54350	9.42677
		SMTInterpol	SMTInterpol	unknown ❌	5.86122	13.42800
		Yices2	Yices2	sat ✅	1.33076	1.21393
		Z3	Z3-Owl-base	sat ✅	19.91866	19.79982
		Z3-Owl	Z3-Owl	sat ✅	18.05126	17.92004