Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw032.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: 32

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size7514
Compressed Size1334
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 7506
Compressed Size1324
Max. Term Depth71
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite37 not1 =38 let33
concat6 extract99 bvnot98 bvand127
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2010 0.67 (1/3) CVC3 CVC3 2.3 unsat ✅ 242.30000 —
SONOLAR SONOLAR r252 unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
SMT-COMP 2011 0.50 (3/6) Boolector Boolector 1.5.23-833 unknown ❌ 1200.00000 —
CVC3 CVC3 v2.4 unsat ✅ 149.00000 —
MathSAT MathSAT5 unknown ❌ 1200.00000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
STP2 unsat ✅ 1060.20000 —
Z3 Z3 unsat ✅ 0.60000 —
SMT Evaluation 2013 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 0.23388 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 0.44094 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 0.43096 —
abziz_portfolio_2012_minfeatures default unsat ✅ 0.43657 —
abziz_portfolio_2012_solvers default unsat ✅ 0.43075 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 0.43136 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 0.02335 —
Boolector-SMT-COMP-2011 default unsat ✅ 0.15985 —
Boolector-SMT-COMP-2012 default unsat ✅ 0.02315 —
CVC3 CVC3-SMT-COMP-2010 default unsat ✅ 69.05840 —
CVC3-SMT-COMP-2011 default unsat ✅ 82.71120 —
CVC3-SMT-COMP-2012 default unsat ✅ 82.33930 —
CVC4 CVC4-SMT-COMP-2012-Resubmission default unknown ❌ — —
CVC4-SMT-EVAL-2013 default unsat ✅ 70.36960 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unsat ✅ 0.09350 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 0.19308 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 0.10626 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 0.08155 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 0.16432 —
SONOLAR-SMT-COMP-2010 default unsat ✅ 0.52160 —
SONOLAR-SMT-COMP-2011 default unsat ✅ 0.15711 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 0.21521 —
STP STP2-SMT-COMP-2011 default unsat ✅ 0.13188 —
STP2-SMT-COMP-2012 default unsat ✅ 0.27529 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 0.38760 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 0.48666 —
Z3-SMT-COMP-2011 default unsat ✅ 0.42305 —
SMT-COMP 2014 0.11 (8/9) 4Simp 4Simp - 2014 default unsat ✅ 640.49600 640.74900
Abziz abziz_portfolio_all_features default unsat ✅ 0.87877 0.86187
abziz_portfolio_min_features default unsat ✅ 0.88440 0.86587
Boolector Boolector boolector unsat ✅ 0.19146 0.17997
CVC4 CVC4 f7118b2 default unsat ✅ 229.93500 461.25400
MathSAT MathSAT-5.2.12-Main default unsat ✅ 1075.43000 1075.62000
SONOLAR sonolar_smtcomp-2014 default unsat ✅ 446.31000 446.51600
STP stp-cryptominisat4 default unsat ✅ 0.34834 0.33795
Yices2 Yices-2.2.1-smtcomp2014 default unknown ❌ 2399.12000 2400.06000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.46919 0.46193
SMT-COMP 2015 0.14 (6/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 0.19153 0.19097
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.22278 0.42793
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.27949 0.54192
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 0.31287 0.31195
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.78000
STP stp-cryptominisat4 default unsat ✅ 0.37913 0.37794
stp-cmsat4-v15 default unsat ✅ 0.22251 0.22196
stp-cmsat4-mt-v15 default unknown ❌ 0.08267 0.08099
stp-minisat-v15 default unsat ✅ 0.25726 0.25596
Yices2 Yices default unsat ✅ 0.16220 0.16097
Z3 z3 4.4.0 default unsat ✅ 0.40053 0.40094
SMT-COMP 2016 0.30 (7/10) ABC ABC_default default_abc unsat ✅ 1456.08000 1456.90000
ABC_glucose glucose unsat ✅ 447.26200 447.51500
Boolector Boolector boolector unsat ✅ 0.41679 0.41681
Boolector preprop boolector unsat ✅ 0.50554 0.50578
CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 2400.19000 4826.52000
MapleSTP MapleSTP default unsat ✅ 0.44895 0.44916
MapleSTP-mt default unsat ✅ 0.42510 1.49691
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 726.00300 726.42400
MinkeyRink Minkeyrink 2016 default unsat ✅ 0.62481 1.18852
Q3B Q3B default unknown ❌ 2400.05000 7203.40000
STP stp-cms-exp-2016 default unsat ✅ 0.31232 0.31246
stp-cms-mt-2016 default unsat ✅ 0.23052 0.72140
stp-cms-st-2016 default unsat ✅ 0.24595 0.24602
stp-minisat-st-2016 default unsat ✅ 1.61603 1.61689
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.25000
Z3 z3-4.4.1 default unsat ✅ 0.81773 0.81945
SMT-COMP 2017 0.25 (6/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 0.99067 0.98995
Boolector SMT17 final boolector unsat ✅ 1.33682 1.33714
CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.19100 1204.80000
MathSAT mathsat-5.4.1-linux-x86_64-Main default unsat ✅ 0.31941 0.31967
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 0.39248 0.35048
Q3B Q3B default unknown ❌ 600.05600 1786.46000
STP stp_st default unsat ✅ 0.32065 0.31998
stp_mt default unsat ✅ 0.56226 0.95678
Yices2 Yices2-Main default unsat ✅ 0.18499 0.18416
Z3 z3-4.5.0 default unsat ✅ 0.65346 0.51986
SMT-COMP 2018 Boolector Boolector_default unsat ✅ 0.66418 0.66415
CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.24415 0.24426
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unsat ✅ 0.34833 0.34933
MinkeyRink Minkeyrink MT_mt unsat ✅ 0.22102 0.61630
Minkeyrink ST_st unsat ✅ 0.37435 0.37454
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 0.26396 0.26392
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 0.25929 0.76673
STP-Riss-st-2018_riss-no-stderr unsat ✅ 0.61642 0.61626
Yices2 Yices 2.6.0_default unsat ✅ 0.13279 0.13276
Z3 z3-4.7.1_default unsat ✅ 0.48469 0.48464