Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov4bw0768.smt2 

We try to 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, which is even.
We try to verify the following.
If the n/2 most significant bits of the operands are zero, then
the overflow detection unit must not yield an overflow.
Obviously, this is an invalid verification condition
as for example 0011 * 0011 = 1001 overflows in the signed case, which
is correctly detected by the unit.

Bit-width: 768

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size103243
Compressed Size8947
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 sat
Inferred Status sat
Size 103235
Compressed Size8955
Max. Term Depth1542
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite7 not1 =8 let768
concat4 extract1540 bvnot2306 bvand2305
bvmul1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.57 (3/7) Beaver Beaver-1.0 unknown ❌ 0.20000 —
Boolector Boolector sat ✅ 11.20000 —
CVC3 CVC3-1.5 unknown ❌ 1800.80000 —
MathSAT MathSAT-4.2 sat ✅ 55.40000 —
Spear Spear unknown ❌ 0.10000 —
Spear v1.9 (fh-1-2) unknown ❌ 0.10000 —
SWORD SWORD v0.2 sat ✅ 0.50000 —
Z3 Z3.2 unknown ❌ 1801.00000 —
SMT-COMP 2012 0.57 (3/7) 4Simp 4Simp sat ✅ 55.30000 —
Abziz AbzizPortfolio+BOOLECTOR+MATHSAT+SONOLAR+STP2+Z3_6 unknown ❌ 1200.00000 —
Boolector Boolector sat ✅ 178.70000 —
CVC3 CVC3 v2.4.2 unknown ❌ 80.70000 —
CVC4 1.0rc.3931 sat ✅ 27.20000 —
MathSAT MathSAT-HeavyBV unknown ❌ 42.40000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
Z3 Z3 unknown ❌ 1200.00000 —
SMT Evaluation 2013 0.22 (7/9) 4Simp 4Simp-SMT-COMP-2012 default unknown ❌ — —
Abziz abziz_portfolio_2011_minfeatures_2 default unknown ❌ — —
abziz_portfolio_2011_solvers_2 default sat ✅ 400.73000 —
abziz_portfolio_2012_minfeatures default sat ✅ 15.39060 —
abziz_portfolio_2012_solvers default sat ✅ 79.77030 —
AbzizPortfolio-SMT-COMP-2012 default sat ✅ 1072.45000 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default sat ✅ 3.95019 —
Boolector-SMT-COMP-2011 default sat ✅ 1066.55000 —
Boolector-SMT-COMP-2012 default sat ✅ 99.25780 —
CVC3 CVC3-SMT-COMP-2010 default sat ✅ 57.63790 —
CVC3-SMT-COMP-2011 default sat ✅ 53.90220 —
CVC3-SMT-COMP-2012 default sat ✅ 53.89600 —
CVC4 CVC4-SMT-COMP-2012-Resubmission default sat ✅ 59.33520 —
CVC4-SMT-EVAL-2013 default sat ✅ 48.10230 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default sat ✅ 10.73660 —
MathSAT5-HeavyBV-SMT-COMP-2012 default sat ✅ 72.08330 —
MathSAT5-SMT-COMP-2011 default sat ✅ 9.37112 —
MathSAT5-SMT-COMP-2012 default sat ✅ 9.59175 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default sat ✅ 410.63200 —
SONOLAR-SMT-COMP-2010 default sat ✅ 14.59850 —
SONOLAR-SMT-COMP-2011 default sat ✅ 398.40500 —
SONOLAR-SMT-COMP-2012 default sat ✅ 865.22900 —
STP STP2-SMT-COMP-2011 default sat ✅ 59.76400 —
STP2-SMT-COMP-2012 default sat ✅ 76.66510 —
simplifyingSTP-SMT-COMP-2010 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 0.22 (7/9) 4Simp 4Simp - 2014 default sat ✅ 309.68300 309.69800
Abziz abziz_portfolio_all_features default sat ✅ 10.20360 10.07420
abziz_portfolio_min_features default sat ✅ 10.19260 10.08220
Boolector Boolector boolector sat ✅ 37.28770 37.28730
CVC4 CVC4 f7118b2 default sat ✅ 35.79580 71.54810
MathSAT MathSAT-5.2.12-Main default sat ✅ 11.65410 11.65120
SONOLAR sonolar_smtcomp-2014 default unknown ❌ 2399.12000 2400.07000
STP stp-cryptominisat4 default sat ✅ 8.80235 8.80466
Yices2 Yices-2.2.1-smtcomp2014 default sat ✅ 1.15665 1.14882
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.21000 2400.04000
SMT-COMP 2015 0.29 (5/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv sat ✅ 24.72860 24.73920
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.37000 4824.51000
CVC4-experimental-2015-06-15-ff5745a-main default sat ✅ 36.83290 73.63780
MathSAT MathSat 5.3.6 main smtcomp2015_main sat ✅ 34.64970 34.66270
SMT-RAT SMT-RAT-final default unknown ❌ 537.82700 537.76000
STP stp-cryptominisat4 default sat ✅ 8.70846 8.71067
stp-cmsat4-v15 default sat ✅ 354.31500 354.45600
stp-cmsat4-mt-v15 default unknown ❌ 7.12692 7.12792
stp-minisat-v15 default sat ✅ 118.76200 118.82100
Yices2 Yices default sat ✅ 1.14496 1.14382
Z3 z3 4.4.0 default unknown ❌ 2400.01000 2401.08000
SMT-COMP 2016 0.20 (8/10) ABC ABC_default default_abc unknown ❌ 495.21300 473.64600
ABC_glucose glucose unknown ❌ 2400.04000 2400.74000
Boolector Boolector boolector sat ✅ 14.35860 14.36680
Boolector preprop boolector sat ✅ 3.69985 3.70227
CVC4 CVC4-master-2016-05-27-cfef263-main default sat ✅ 37.10250 74.20320
MapleSTP MapleSTP default sat ✅ 250.04400 250.17100
MapleSTP-mt default sat ✅ 943.41100 3719.19000
MathSAT mathsat-5.3.11-linux-x86_64-Main default sat ✅ 35.21080 35.23220
MinkeyRink Minkeyrink 2016 default sat ✅ 492.76500 1085.95000
Q3B Q3B default unknown ❌ 2400.02000 7203.75000
STP stp-cms-exp-2016 default sat ✅ 87.52390 87.57460
stp-cms-mt-2016 default sat ✅ 94.08960 350.36900
stp-cms-st-2016 default sat ✅ 782.75600 783.08400
stp-minisat-st-2016 default sat ✅ 276.32500 276.43500
Yices2 Yices-2.4.2 default sat ✅ 1.15466 1.15521
Z3 z3-4.4.1 default sat ✅ 26.12140 52.13610
SMT-COMP 2017 0.12 (7/8) Boolector Boolector+CaDiCaL SMT17 final boolector sat ✅ 38.58770 38.57320
Boolector SMT17 final boolector sat ✅ 38.25900 38.25690
CVC4 CVC4-smtcomp2017-main default sat ✅ 37.58940 75.15030
MathSAT mathsat-5.4.1-linux-x86_64-Main default sat ✅ 35.44910 35.44670
MinkeyRink MinkeyRink 2017.3a default sat ✅ 320.00400 496.99400
Q3B Q3B default unknown ❌ 600.05600 1786.87000
STP stp_st default sat ✅ 37.98960 37.98820
stp_mt default sat ✅ 89.44730 326.56300
Yices2 Yices2-Main default sat ✅ 1.16339 1.16270
Z3 z3-4.5.0 default sat ✅ 11.14630 11.14540
SMT-COMP 2018 0.14 (6/7) Boolector Boolector_default sat ✅ 29.64800 29.64650
CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 46.63180 46.62950
MathSAT mathsat-5.5.2-linux-x86_64-Main_default sat ✅ 35.33340 35.33430
MinkeyRink Minkeyrink MT_mt sat ✅ 102.04200 354.38900
Minkeyrink ST_st sat ✅ 82.57980 82.58180
STP STP-CMS-st-2018_default-no-stderr sat ✅ 82.34790 82.33970
STP-CMS-mt-2018_multicore-no-stderr sat ✅ 142.07100 531.79700
STP-Riss-st-2018_riss-no-stderr sat ✅ 124.74400 124.74100
Yices2 Yices 2.6.0_default sat ✅ 0.85593 0.85580
Z3 z3-4.7.1_default unknown ❌ 1200.02000 1199.88000
SMT-COMP 2024 0.33 (4/6) Bitwuzla Bitwuzla sat ✅ 0.26789 0.16787
cvc5 cvc5 sat ✅ 13.40764 13.30774
SMTInterpol SMTInterpol unknown ❌ 1201.71654 1244.78095
STP STP sat ✅ 15.28512 15.18508
Yices2 Yices2 sat ✅ 1.06545 0.96568
Z3alpha Z3-alpha unknown ❌ 1201.72738 1200.90495
SMT-COMP 2025 0.22 (7/9) Bitwuzla Bitwuzla sat ✅ 3.18738 3.06842
Bitwuzla-MachBV-base sat ✅ 6.74539 6.62506
Bitwuzla-MachBV Bitwuzla-MachBV sat ✅ 6.65654 6.52109
BVDecide bv_decide sat ✅ 45.42954 45.36574
bv_decide-nokernel sat ✅ 46.55312 46.49004
cvc5 cvc5 sat ✅ 12.57025 12.45008
SMTInterpol SMTInterpol unknown ❌ 1201.80103 1232.25102
Yices2 Yices2 sat ✅ 1.58116 1.45610
Z3alpha Z3-alpha sat ✅ 747.89313 2984.04609
Z3 Z3-alpha-base unknown ❌ 1201.40513 1201.17542
Z3-Owl-base unknown ❌ 1201.45089 1201.12232
z3siri-base unknown ❌ 1201.44259 1201.15997
Z3-Owl Z3-Owl sat ✅ 866.35694 866.12775