Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw048.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: 48

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size10660
Compressed Size1572
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 10652
Compressed Size1564
Max. Term Depth103
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite53 not1 =54 let49
concat6 extract147 bvnot146 bvand191
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2010 0.33 (2/3) CVC3 CVC3 2.3 unknown ❌ 1200.10000 —
SONOLAR SONOLAR r252 unsat ✅ 3.30000 —
STP simplifyingSTP unsat ✅ 4.40000 —
SMT Evaluation 2013 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 0.68729 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 1.58176 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 1.51608 —
abziz_portfolio_2012_minfeatures default unsat ✅ 1.47854 —
abziz_portfolio_2012_solvers default unsat ✅ 1.56286 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 1.48361 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 0.05522 —
Boolector-SMT-COMP-2011 default unsat ✅ 1.52953 —
Boolector-SMT-COMP-2012 default unsat ✅ 0.05797 —
CVC3 CVC3-SMT-COMP-2010 default unsat ✅ 603.37700 —
CVC3-SMT-COMP-2011 default unsat ✅ 495.58300 —
CVC3-SMT-COMP-2012 default unsat ✅ 477.82600 —
CVC4 CVC4-SMT-COMP-2012-Resubmission default unknown ❌ — —
CVC4-SMT-EVAL-2013 default unsat ✅ 71.43180 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unsat ✅ 0.24416 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 0.52754 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 0.33179 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 0.20588 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 0.64247 —
SONOLAR-SMT-COMP-2010 default unsat ✅ 1.23738 —
SONOLAR-SMT-COMP-2011 default unsat ✅ 0.59718 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 0.80040 —
STP STP2-SMT-COMP-2011 default unsat ✅ 0.35521 —
STP2-SMT-COMP-2012 default unsat ✅ 0.86775 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 1.32429 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 1.47678 —
Z3-SMT-COMP-2011 default unsat ✅ 1.49519 —
SMT-COMP 2014 4Simp 4Simp - 2014 default unsat ✅ 1.00750 0.99585
Abziz abziz_portfolio_all_features default unsat ✅ 2.72512 2.71259
abziz_portfolio_min_features default unsat ✅ 2.67327 2.65959
Boolector Boolector boolector unsat ✅ 0.46263 0.45393
CVC4 CVC4 f7118b2 default unsat ✅ 0.53910 1.04384
MathSAT MathSAT-5.2.12-Main default unsat ✅ 0.22164 0.21297
SONOLAR sonolar_smtcomp-2014 default unsat ✅ 0.57715 0.56591
STP stp-cryptominisat4 default unsat ✅ 1.03248 1.02284
Yices2 Yices-2.2.1-smtcomp2014 default unsat ✅ 0.46618 0.45793
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 1.57471 1.56776
SMT-COMP 2015 0.57 (3/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 0.64105 0.63990
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.34000 4821.26000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 2400.03000 4821.62000
MathSAT MathSat 5.3.6 main smtcomp2015_main unknown ❌ 2400.01000 2401.10000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.79000
STP stp-cryptominisat4 default unsat ✅ 1.51449 1.51377
stp-cmsat4-v15 default unsat ✅ 0.93024 0.92586
stp-cmsat4-mt-v15 default unknown ❌ 0.14256 0.14098
stp-minisat-v15 default unsat ✅ 0.99233 0.99185
Yices2 Yices default unknown ❌ 2400.01000 2400.89000
Z3 z3 4.4.0 default unsat ✅ 1.40374 1.40379
SMT-COMP 2016 0.10 (9/10) ABC ABC_default default_abc unsat ✅ 9.77173 9.77723
ABC_glucose glucose unsat ✅ 1.95938 1.96121
Boolector Boolector boolector unsat ✅ 1.05457 1.05508
Boolector preprop boolector unsat ✅ 1.25216 1.25262
CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.56240 1.10985
MapleSTP MapleSTP default unsat ✅ 4.70674 4.70977
MapleSTP-mt default unsat ✅ 1.94600 7.34227
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 1.07967 1.08133
MinkeyRink Minkeyrink 2016 default unsat ✅ 1.55974 3.43937
Q3B Q3B default unknown ❌ 2400.05000 7203.90000
STP stp-cms-exp-2016 default unsat ✅ 1.36270 1.36326
stp-cms-mt-2016 default unsat ✅ 0.88054 3.07609
stp-cms-st-2016 default unsat ✅ 0.78552 0.78601
stp-minisat-st-2016 default unsat ✅ 8.61060 8.61558
Yices2 Yices-2.4.2 default unsat ✅ 0.65643 0.65683
Z3 z3-4.4.1 default unsat ✅ 1.94409 1.94645
SMT-COMP 2017 0.12 (7/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 2.81048 2.21965
Boolector SMT17 final boolector unsat ✅ 3.09014 3.07867
CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.62991 1.24309
MathSAT mathsat-5.4.1-linux-x86_64-Main default unsat ✅ 1.04491 1.04495
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 1.17252 1.16790
Q3B Q3B default unknown ❌ 600.05400 1799.54000
STP stp_st default unsat ✅ 1.05652 1.05606
stp_mt default unsat ✅ 1.09420 3.89697
Yices2 Yices2-Main default unsat ✅ 0.63685 0.63613
Z3 z3-4.5.0 default unsat ✅ 1.48162 1.48110
SMT-COMP 2018 0.14 (6/7) Boolector Boolector_default unsat ✅ 1.40368 1.40334
CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.01000 1199.82000
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unsat ✅ 1.05626 1.05714
MinkeyRink Minkeyrink MT_mt unsat ✅ 1.12274 3.94354
Minkeyrink ST_st unsat ✅ 1.37701 1.37253
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 1.20499 1.20480
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 0.93371 3.30287
STP-Riss-st-2018_riss-no-stderr unsat ✅ 1.20187 1.20177
Yices2 Yices 2.6.0_default unsat ✅ 0.70932 0.70920
Z3 z3-4.7.1_default unsat ✅ 1.77234 1.77227
SMT-COMP 2021 0.25 (3/4) Bitwuzla Bitwuzla-fixed_default unsat ✅ 0.48952 0.48939
MathSAT mathsat-5.6.6_default unknown ❌ 1200.02000 1199.78000
STP STP 2021.0_default unsat ✅ 0.71843 2.46663
Z3 z3-4.8.11_default unsat ✅ 2.35944 2.35929