Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw016.smt2 

We verify a verification condition for a signed multiplication
overflow detection unit, which is described in
"Combined Unsigned and Two's Complement Saturating Multipliers"
by M. Schulte et al.

Let n be the bit-width of the operands and r the result of the multiplication.
Let ^ denote boolean XOR, + boolean OR, and [i] the bit at position i.
If the overflow detection unit finds an overflow, then it must be the case that
(r[2n-1] ^ r[n-1])  +  (r[2n-2] ^ r[n-1])  +  ...  +  ([r[n] ^ r[n-1]) holds.

Bit-width: 16

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size4368
Compressed Size1063
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2008-07-07
Generated By—
Generated On—
Generator—
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 4360
Compressed Size1047
Max. Term Depth39
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite21 not1 =22 let17
concat6 extract51 bvnot50 bvand63
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT Evaluation 2013 0.44 (5/9) 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 0.04875 —
Abziz abziz_portfolio_2011_minfeatures_2 default unknown ❌ — —
abziz_portfolio_2011_solvers_2 default unknown ❌ — —
abziz_portfolio_2012_minfeatures default unknown ❌ — —
abziz_portfolio_2012_solvers default unknown ❌ — —
AbzizPortfolio-SMT-COMP-2012 default unknown ❌ — —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 0.00938 —
Boolector-SMT-COMP-2011 default unknown ❌ — —
Boolector-SMT-COMP-2012 default unsat ✅ — —
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 unsat ✅ — —
MathSAT5-HeavyBV-SMT-COMP-2012 default unknown ❌ — —
MathSAT5-SMT-COMP-2011 default unsat ✅ 0.03329 —
MathSAT5-SMT-COMP-2012 default unsat ✅ — —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 0.02676 —
SONOLAR-SMT-COMP-2010 default unsat ✅ 0.03276 —
SONOLAR-SMT-COMP-2011 default unsat ✅ 0.02756 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 0.03079 —
STP STP2-SMT-COMP-2011 default unsat ✅ — —
STP2-SMT-COMP-2012 default unsat ✅ 0.06175 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 0.04782 —
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 4Simp 4Simp - 2014 default unsat ✅ 0.20723 0.19597
Abziz abziz_portfolio_all_features default unsat ✅ 0.19231 0.13198
abziz_portfolio_min_features default unsat ✅ 0.15329 0.13998
Boolector Boolector boolector unsat ✅ 0.06054 0.05199
CVC4 CVC4 f7118b2 default unsat ✅ 0.31988 0.60891
MathSAT MathSAT-5.2.12-Main default unsat ✅ 0.19331 0.18497
SONOLAR sonolar_smtcomp-2014 default unsat ✅ 0.21951 0.20497
STP stp-cryptominisat4 default unsat ✅ 0.07446 0.06599
Yices2 Yices-2.2.1-smtcomp2014 default unsat ✅ 0.27335 0.26196
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.07099 0.06199
SMT-COMP 2015 Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 0.05239 0.05099
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.05329 0.09098
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.08732 0.15898
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 0.23405 0.23296
SMT-RAT SMT-RAT-final default unsat ✅ 3.43643 3.43648
STP stp-cryptominisat4 default unsat ✅ 0.08433 0.08299
stp-cmsat4-v15 default unsat ✅ 0.04322 0.04199
stp-cmsat4-mt-v15 default unknown ❌ 0.04434 0.04299
stp-minisat-v15 default unsat ✅ 0.05084 0.04999
Yices2 Yices default unsat ✅ 0.26458 0.26396
Z3 z3 4.4.0 default unsat ✅ 0.08562 0.08599
SMT-COMP 2016 0.10 (9/10) ABC ABC_default default_abc unsat ✅ 0.10437 0.10434
ABC_glucose glucose unsat ✅ 0.22231 0.22238
Boolector Boolector boolector unsat ✅ 0.09778 0.09789
Boolector preprop boolector unsat ✅ 0.10518 0.10586
CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.09196 0.17038
MapleSTP MapleSTP default unsat ✅ 0.22579 0.22610
MapleSTP-mt default unsat ✅ 0.16549 0.56566
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 0.06624 0.06727
MinkeyRink Minkeyrink 2016 default unsat ✅ 0.17842 0.26745
Q3B Q3B default unknown ❌ 2400.05000 7203.28000
STP stp-cms-exp-2016 default unsat ✅ 0.05727 0.05726
stp-cms-mt-2016 default unsat ✅ 0.06114 0.14948
stp-cms-st-2016 default unsat ✅ 0.05410 0.05410
stp-minisat-st-2016 default unsat ✅ 0.17387 0.17391
Yices2 Yices-2.4.2 default unsat ✅ 0.01525 0.01522
Z3 z3-4.4.1 default unsat ✅ 0.08523 0.08651
SMT-COMP 2017 0.12 (7/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 0.10421 0.10418
Boolector SMT17 final boolector unsat ✅ 0.19208 0.19199
CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.08056 0.14590
MathSAT mathsat-5.4.1-linux-x86_64-Main default unsat ✅ 0.07341 0.07162
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 0.09656 0.08851
Q3B Q3B default unknown ❌ 600.05800 1799.04000
STP stp_st default unsat ✅ 0.06646 0.06654
stp_mt default unsat ✅ 0.07875 0.14438
Yices2 Yices2-Main default unsat ✅ 0.03953 0.02499
Z3 z3-4.5.0 default unsat ✅ 0.09104 0.08948
SMT-COMP 2018 Boolector Boolector_default unsat ✅ 0.08718 0.08713
CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.10891 0.10906
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unsat ✅ 0.22129 0.22243
MinkeyRink Minkeyrink MT_mt unsat ✅ 0.05959 0.09880
Minkeyrink ST_st unsat ✅ 0.05357 0.05368
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 0.06056 0.06071
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 0.05031 0.09036
STP-Riss-st-2018_riss-no-stderr unsat ✅ 0.12852 0.12854
Yices2 Yices 2.6.0_default unsat ✅ 0.30745 0.30734
Z3 z3-4.7.1_default unsat ✅ 0.08849 0.08844