Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw064.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: 64

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size13860
Compressed Size1858
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 13852
Compressed Size1849
Max. Term Depth135
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite69 not1 =70 let65
concat6 extract195 bvnot194 bvand255
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2010 1.00 (0/3) CVC3 CVC3 2.3 unknown ❌ 1200.10000 —
SONOLAR SONOLAR r252 unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
SMT-COMP 2011 0.83 (1/6) Boolector Boolector 1.5.23-833 unknown ❌ 1200.00000 —
CVC3 CVC3 v2.4 unknown ❌ 1200.10000 —
MathSAT MathSAT5 unknown ❌ 1200.00000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
STP2 unknown ❌ 1200.00000 —
Z3 Z3 unsat ✅ 7.40000 —
SMT Evaluation 2013 0.11 (8/9) 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 1.71551 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 6.81121 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 7.66872 —
abziz_portfolio_2012_minfeatures default unsat ✅ 6.06884 —
abziz_portfolio_2012_solvers default unsat ✅ 5.16820 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 5.93008 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 0.09329 —
Boolector-SMT-COMP-2011 default unsat ✅ 2.60163 —
Boolector-SMT-COMP-2012 default unsat ✅ 0.11244 —
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 unsat ✅ 72.98270 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unsat ✅ 0.51992 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 1.05134 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 0.85806 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 0.42500 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 2.03240 —
SONOLAR-SMT-COMP-2010 default unsat ✅ 4.99733 —
SONOLAR-SMT-COMP-2011 default unsat ✅ 1.80028 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 1.91893 —
STP STP2-SMT-COMP-2011 default unsat ✅ 0.84893 —
STP2-SMT-COMP-2012 default unsat ✅ 2.20234 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 8.82463 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 4.59940 —
Z3-SMT-COMP-2011 default unsat ✅ 5.24524 —
SMT-COMP 2014 0.44 (5/9) 4Simp 4Simp - 2014 default unknown ❌ 2399.12000 2400.08000
Abziz abziz_portfolio_all_features default unsat ✅ 8.83712 8.81966
abziz_portfolio_min_features default unsat ✅ 8.88664 8.88365
Boolector Boolector boolector unsat ✅ 0.85531 0.85387
CVC4 CVC4 f7118b2 default unsat ✅ 1.08371 2.13268
MathSAT MathSAT-5.2.12-Main default unknown ❌ 2399.21000 2400.03000
SONOLAR sonolar_smtcomp-2014 default unknown ❌ 2399.12000 2400.06000
STP stp-cryptominisat4 default unsat ✅ 4.05096 4.03739
Yices2 Yices-2.2.1-smtcomp2014 default unknown ❌ 2399.12000 2400.03000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 3.61171 3.61245
SMT-COMP 2015 0.57 (3/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 2.92226 2.92255
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.21000 4819.33000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 2400.02000 4815.34000
MathSAT MathSat 5.3.6 main smtcomp2015_main unknown ❌ 2400.01000 2401.13000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.58000
STP stp-cryptominisat4 default unsat ✅ 3.52332 3.52346
stp-cmsat4-v15 default unsat ✅ 2.54924 2.54961
stp-cmsat4-mt-v15 default unknown ❌ 0.22386 0.22296
stp-minisat-v15 default unsat ✅ 2.30542 2.30565
Yices2 Yices default unknown ❌ 2400.01000 2400.93000
Z3 z3 4.4.0 default unsat ✅ 4.29346 4.29535
SMT-COMP 2016 0.50 (5/10) ABC ABC_default default_abc unknown ❌ 2400.03000 2401.41000
ABC_glucose glucose unknown ❌ 2400.12000 2401.49000
Boolector Boolector boolector unsat ✅ 3.10236 3.10487
Boolector preprop boolector unsat ✅ 3.42629 3.42831
CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 2400.11000 4823.09000
MapleSTP MapleSTP default unsat ✅ 6.69487 6.69857
MapleSTP-mt default unsat ✅ 8.31132 32.21710
MathSAT mathsat-5.3.11-linux-x86_64-Main default unknown ❌ 2400.10000 2401.36000
MinkeyRink Minkeyrink 2016 default unsat ✅ 3.54899 9.14980
Q3B Q3B default unknown ❌ 2400.09000 7203.74000
STP stp-cms-exp-2016 default unsat ✅ 2.70750 2.70897
stp-cms-mt-2016 default unsat ✅ 2.37168 8.62004
stp-cms-st-2016 default unsat ✅ 2.25802 2.25929
stp-minisat-st-2016 default unsat ✅ 16.45040 16.46000
Yices2 Yices-2.4.2 default unknown ❌ 2400.03000 2401.14000
Z3 z3-4.4.1 default unsat ✅ 3.69562 3.69584
SMT-COMP 2017 0.50 (4/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 3.88045 3.87339
Boolector SMT17 final boolector unsat ✅ 6.64308 6.62702
CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.05600 1187.61000
MathSAT mathsat-5.4.1-linux-x86_64-Main default unknown ❌ 600.01900 600.01000
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 2.47499 2.51075
Q3B Q3B default unknown ❌ 600.04700 1426.85000
STP stp_st default unsat ✅ 2.34915 2.34298
stp_mt default unsat ✅ 2.79031 8.19346
Yices2 Yices2-Main default unknown ❌ 600.04900 588.57900
Z3 z3-4.5.0 default unsat ✅ 4.22085 4.22057
SMT-COMP 2018 0.29 (5/7) Boolector Boolector_default unsat ✅ 2.43559 2.43523
CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 1.00330 1.00322
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.02000 1199.92000
MinkeyRink Minkeyrink MT_mt unsat ✅ 2.72355 10.09340
Minkeyrink ST_st unsat ✅ 2.36822 2.36823
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 2.69646 2.69672
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 3.15490 11.74290
STP-Riss-st-2018_riss-no-stderr unsat ✅ 2.90965 2.90958
Yices2 Yices 2.6.0_default unknown ❌ 1200.11000 1200.05000
Z3 z3-4.7.1_default unsat ✅ 5.08065 5.07972
SMT-COMP 2022 0.29 (5/7) Bitwuzla Bitwuzla-fixed_default unsat ✅ 0.68084 0.68076
Bitwuzla-wrapped_default unsat ✅ 0.68573 0.68464
cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 6.11464 6.11450
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.02000 1199.93000
STP STP 2022.4_default unsat ✅ 4.18391 4.18349
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.02000 1199.97000
Z3++BV z3++bv_0702_default unsat ✅ 4.60514 4.60487
Z3 z3-4.8.17_default unsat ✅ 7.64423 7.64496
SMT-COMP 2024 0.33 (4/6) Bitwuzla Bitwuzla unsat ✅ 0.70504 0.60506
cvc5 cvc5 unknown ❌ 1201.71992 1200.74894
SMTInterpol SMTInterpol unknown ❌ 1201.71758 1285.62487
STP STP unsat ✅ 3.27310 3.16976
Yices2 Yices2 unsat ✅ 2.97246 2.87115
Z3alpha Z3-alpha unsat ✅ 5.33670 5.23397
SMT-COMP 2025 0.33 (6/9) Bitwuzla Bitwuzla unsat ✅ 0.50205 0.38667
Bitwuzla-MachBV-base unsat ✅ 0.36407 0.24184
Bitwuzla-MachBV Bitwuzla-MachBV unsat ✅ 0.43526 0.31199
BVDecide bv_decide unknown ❌ 1201.97792 1201.85374
bv_decide-nokernel unknown ❌ 1201.96783 1201.96811
cvc5 cvc5 unsat ✅ 3.65815 3.53431
SMTInterpol SMTInterpol unknown ❌ 1201.61159 1434.29639
Yices2 Yices2 unknown ❌ 1201.24831 1201.01466
Z3alpha Z3-alpha unsat ✅ 7.98071 30.58279
Z3 Z3-alpha-base unsat ✅ 3.82699 3.70934
Z3-Owl-base unsat ✅ 14.89120 14.77186
z3siri-base unsat ✅ 3.90942 3.79540
Z3-Owl Z3-Owl unsat ✅ 5.08010 4.95509