Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw320.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: 320

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size66986
Compressed Size5791
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 66978
Compressed Size5801
Max. Term Depth647
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite325 not1 =326 let321
concat6 extract963 bvnot962 bvand1279
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.86 (1/7) Beaver Beaver-1.0 unknown ❌ 0.80000 —
Boolector Boolector unsat ✅ 20.00000 —
CVC3 CVC3-1.5 unknown ❌ 1801.00000 —
MathSAT MathSAT-4.2 unknown ❌ 1801.00000 —
Spear Spear unknown ❌ — —
Spear v1.9 (fh-1-2) unknown ❌ — —
SWORD SWORD v0.2 unknown ❌ 1801.00000 —
Z3 Z3.2 unknown ❌ 1801.00000 —
SMT-COMP 2010 1.00 (0/3) CVC3 CVC3 2.3 unknown ❌ 1200.20000 —
SONOLAR SONOLAR r252 unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
SMT-COMP 2012 0.71 (2/7) 4Simp 4Simp unknown ❌ 1200.00000 —
Abziz AbzizPortfolio+BOOLECTOR+MATHSAT+SONOLAR+STP2+Z3_6 unknown ❌ 1200.00000 —
Boolector Boolector unsat ✅ 83.10000 —
CVC3 CVC3 v2.4.2 unknown ❌ 312.50000 —
CVC4 1.0rc.3931 unknown ❌ 1086.30000 —
MathSAT MathSAT-HeavyBV unsat ✅ 235.10000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
Z3 Z3 unknown ❌ 1200.00000 —
SMT-COMP 2011 0.67 (2/6) Boolector Boolector 1.5.23-833 unsat ✅ 101.10000 —
CVC3 CVC3 v2.4 unknown ❌ 304.20000 —
MathSAT MathSAT5 unsat ✅ 240.80000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
STP2 unknown ❌ 387.30000 —
Z3 Z3 unknown ❌ 1200.00000 —
SMT Evaluation 2013 1.00 (0/9) 4Simp 4Simp-SMT-COMP-2012 default unknown ❌ — —
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 unknown ❌ — —
Boolector-SMT-COMP-2011 default unknown ❌ — —
Boolector-SMT-COMP-2012 default unknown ❌ — —
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 unknown ❌ — —
MathSAT5-HeavyBV-SMT-COMP-2012 default unknown ❌ — —
MathSAT5-SMT-COMP-2011 default unknown ❌ — —
MathSAT5-SMT-COMP-2012 default unknown ❌ — —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unknown ❌ — —
SONOLAR-SMT-COMP-2010 default unknown ❌ — —
SONOLAR-SMT-COMP-2011 default unknown ❌ — —
SONOLAR-SMT-COMP-2012 default unknown ❌ — —
STP STP2-SMT-COMP-2011 default unknown ❌ — —
STP2-SMT-COMP-2012 default unknown ❌ — —
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 0.78 (2/9) 4Simp 4Simp - 2014 default unknown ❌ 2399.22000 2400.09000
Abziz abziz_portfolio_all_features default unknown ❌ 2399.22000 2400.01000
abziz_portfolio_min_features default unknown ❌ 2399.03000 2400.08000
Boolector Boolector boolector unsat ✅ 77.71440 77.72320
CVC4 CVC4 f7118b2 default unsat ✅ 59.96190 120.24900
MathSAT MathSAT-5.2.12-Main default unknown ❌ 2399.12000 2400.01000
SONOLAR sonolar_smtcomp-2014 default unknown ❌ 2399.31000 2400.04000
STP stp-cryptominisat4 default unknown ❌ 2399.21000 2400.04000
Yices2 Yices-2.2.1-smtcomp2014 default unknown ❌ 2399.12000 2400.05000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.12000 2400.03000
SMT-COMP 2015 0.43 (4/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 51.71020 51.73010
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 1128.09000 2265.35000
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 49.72910 99.71480
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 1798.27000 1798.91000
SMT-RAT SMT-RAT-final default unknown ❌ 1199.52000 1199.86000
STP stp-cryptominisat4 default unknown ❌ 2400.01000 2400.68000
stp-cmsat4-v15 default unsat ✅ 1551.15000 1551.74000
stp-cmsat4-mt-v15 default unknown ❌ 4.63919 4.63929
stp-minisat-v15 default unsat ✅ 1098.20000 1098.70000
Yices2 Yices default unknown ❌ 2400.01000 2400.75000
Z3 z3 4.4.0 default unknown ❌ 2400.01000 2400.87000
SMT-COMP 2016 0.50 (5/10) ABC ABC_default default_abc unknown ❌ 2400.03000 2401.21000
ABC_glucose glucose unsat ✅ 1110.19000 1110.83000
Boolector Boolector boolector unsat ✅ 81.36410 81.41790
Boolector preprop boolector unsat ✅ 91.49380 91.55560
CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 2400.17000 4828.18000
MapleSTP MapleSTP default unknown ❌ 2400.09000 2401.40000
MapleSTP-mt default unknown ❌ 2400.08000 9529.20000
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 1565.57000 1566.33000
MinkeyRink Minkeyrink 2016 default unsat ✅ 1136.61000 4256.47000
Q3B Q3B default unknown ❌ 2400.10000 7203.66000
STP stp-cms-exp-2016 default unsat ✅ 1638.44000 1639.32000
stp-cms-mt-2016 default unsat ✅ 907.63800 3404.43000
stp-cms-st-2016 default unsat ✅ 1212.01000 1212.62000
stp-minisat-st-2016 default unknown ❌ 2400.11000 2401.48000
Yices2 Yices-2.4.2 default unknown ❌ 2400.03000 2401.30000
Z3 z3-4.4.1 default unknown ❌ 2400.02000 2401.30000
SMT-COMP 2017 0.62 (3/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 122.90800 122.90200
Boolector SMT17 final boolector unsat ✅ 139.04400 139.03900
CVC4 CVC4-smtcomp2017-main default unsat ✅ 65.18190 131.00700
MathSAT mathsat-5.4.1-linux-x86_64-Main default unknown ❌ 600.01600 599.83000
MinkeyRink MinkeyRink 2017.3a default unknown ❌ 600.06800 1202.60000
Q3B Q3B default unknown ❌ 600.03100 1421.48000
STP stp_st default unsat ✅ 511.46800 503.94000
stp_mt default unknown ❌ 600.08900 1324.09000
Yices2 Yices2-Main default unknown ❌ 600.07300 599.98000
Z3 z3-4.5.0 default unknown ❌ 600.04200 588.83000
SMT-COMP 2018 0.57 (3/7) Boolector Boolector_default unsat ✅ 92.58270 92.57930
CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 35.21510 35.21160
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.02000 1199.74000
MinkeyRink Minkeyrink MT_mt unknown ❌ 1200.07000 4750.11000
Minkeyrink ST_st unknown ❌ 1200.02000 1199.94000
STP STP-CMS-st-2018_default-no-stderr unknown ❌ 1200.05000 1199.96000
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 1037.55000 4104.44000
STP-Riss-st-2018_riss-no-stderr unsat ✅ 857.43800 857.36300
Yices2 Yices 2.6.0_default unknown ❌ 1200.11000 1200.12000
Z3 z3-4.7.1_default unknown ❌ 1200.02000 1199.89000
SMT-COMP 2019 0.25 (6/8) Boolector Boolector-wrapped-sq_default unsat ✅ 9.01118 9.01051
Poolector-wrapped-sq_default unsat ✅ 10.44080 41.10000
Boolector-ReasonLS boolector-ReasonLS-wrapped-sq_default unsat ✅ 61.15520 61.14940
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.09000 2399.91000
MinkeyRink MinkeyRink MT-wrapped-sq_default unsat ✅ 981.48300 3884.15000
MinkeyRink ST-wrapped-sq_default unsat ✅ 2077.31000 2077.10000
Par4 Par4-wrapped-sq_default unsat ✅ 90.10320 270.14600
STP STP-2019-wrapped-sq_default unsat ✅ 1723.81000 1723.71000
stp-mergesat-fixed-wrapped-sq_default unknown ❌ 2400.11000 2400.11000
stp-minisat-wrapped-sq_default unsat ✅ 927.07500 926.95200
stp-mt-wrapped-sq_default unsat ✅ 691.21900 2727.80000
stp-portfolio-fixed-wrapped-sq_default unknown ❌ 2400.06000 5605.60000
stp-riss-wrapped-sq_default unknown ❌ 5.89394 5.37896
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.03000 2399.76000
Yices 2.6.2 Cadical-wrapped-sq_default unknown ❌ 2400.02000 2399.88000
Yices 2.6.2 Cryptominisat-wrapped-sq_default unsat ✅ 2041.09000 2040.97000
Yices 2.6.2 MCSAT BV-wrapped-sq_default unknown ❌ 2400.01000 2399.98000
Yices 2.6.2 new bvsolver-wrapped-sq_default unknown ❌ 2400.02000 2399.70000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 2400.06000 2399.91000
SMT-COMP 2021 0.25 (3/4) Bitwuzla Bitwuzla-fixed_default unsat ✅ 13.98160 13.98170
MathSAT mathsat-5.6.6_default unsat ✅ 80.25860 80.24610
STP STP 2021.0_default unsat ✅ 1168.85000 4623.41000
Z3 z3-4.8.11_default unknown ❌ 1200.04000 1199.72000
SMT-COMP 2023 0.83 (1/6) Bitwuzla Bitwuzla-fixed_default unsat ✅ 17.96460 17.96430
cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.03000 1199.98000
STP STP 2022.4_default unknown ❌ 1200.11000 1199.90000
STP 2022.4_default unknown ❌ 1200.11000 1199.98000
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 7.97700 22.07470
Yices2 Yices 2 for SMTCOMP 2023_default unknown ❌ 1200.12000 1200.05000
Z3-Owl z3-Owl-Final_default unknown ❌ 1200.02000 1199.80000
z3-Owl-Final_default unknown ❌ 1200.02000 1199.79000
SMT-COMP 2024 0.83 (1/6) Bitwuzla Bitwuzla unsat ✅ 37.57420 37.46360
cvc5 cvc5 unknown ❌ 1201.71279 1200.59843
SMTInterpol SMTInterpol unknown ❌ 1201.71843 1291.29658
STP STP unknown ❌ 1201.27821 1201.13203
Yices2 Yices2 unknown ❌ 1201.29479 1200.98446
Z3alpha Z3-alpha unknown ❌ 1201.71684 1200.73675
SMT-COMP 2025 0.67 (3/9) Bitwuzla Bitwuzla unsat ✅ 26.55505 26.41787
Bitwuzla-MachBV-base unsat ✅ 12.68954 12.55561
Bitwuzla-MachBV Bitwuzla-MachBV unsat ✅ 12.72290 12.59444
BVDecide bv_decide unknown ❌ 1201.95015 1202.07261
bv_decide-nokernel unknown ❌ 1201.97586 1201.97319
cvc5 cvc5 unknown ❌ 1201.78524 1201.09872
SMTInterpol SMTInterpol unknown ❌ 1201.48977 1247.05977
Yices2 Yices2 unknown ❌ 1201.29930 1200.90721
Z3alpha Z3-alpha unknown ❌ 1201.00799 4802.02555
Z3 Z3-alpha-base unknown ❌ 1201.33167 1201.05590
Z3-Owl-base unknown ❌ 1201.34131 1201.10079
z3siri-base unknown ❌ 1201.36983 1201.07250
Z3-Owl Z3-Owl unsat ✅ 929.35592 929.14651