Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov4bw1024.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: 1024

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size137638
Compressed Size13214
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 137630
Compressed Size11694
Max. Term Depth2054
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite7 not1 =8 let1024
concat4 extract2052 bvnot3074 bvand3073
bvmul1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.57 (3/7) Beaver Beaver-1.0 unknown ❌ 0.30000 —
Boolector Boolector sat ✅ 20.70000 —
CVC3 CVC3-1.5 unknown ❌ 1772.80000 —
MathSAT MathSAT-4.2 sat ✅ 282.70000 —
Spear Spear unknown ❌ 0.10000 —
Spear v1.9 (fh-1-2) unknown ❌ 0.10000 —
SWORD SWORD v0.2 sat ✅ 0.30000 —
Z3 Z3.2 unknown ❌ 1800.90000 —
SMT-COMP 2012 0.43 (4/7) 4Simp 4Simp sat ✅ 105.40000 —
Abziz AbzizPortfolio+BOOLECTOR+MATHSAT+SONOLAR+STP2+Z3_6 unknown ❌ 1200.00000 —
Boolector Boolector sat ✅ 574.90000 —
CVC3 CVC3 v2.4.2 unknown ❌ 102.50000 —
CVC4 1.0rc.3931 sat ✅ 50.90000 —
MathSAT MathSAT-HeavyBV unknown ❌ 44.10000 —
SONOLAR SONOLAR sat ✅ 1117.70000 —
Z3 Z3 unknown ❌ 1200.00000 —
SMT Evaluation 2013 0.11 (8/9) 4Simp 4Simp-SMT-COMP-2012 default sat ✅ 59.90020 —
Abziz abziz_portfolio_2011_minfeatures_2 default unknown ❌ — —
abziz_portfolio_2011_solvers_2 default unknown ❌ — —
abziz_portfolio_2012_minfeatures default sat ✅ 23.83260 —
abziz_portfolio_2012_solvers default unknown ❌ — —
AbzizPortfolio-SMT-COMP-2012 default sat ✅ 95.11240 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default sat ✅ 8.08058 —
Boolector-SMT-COMP-2011 default sat ✅ 89.08270 —
Boolector-SMT-COMP-2012 default sat ✅ 294.92600 —
CVC3 CVC3-SMT-COMP-2010 default unknown ❌ 139.78500 —
CVC3-SMT-COMP-2011 default sat ✅ 95.71490 —
CVC3-SMT-COMP-2012 default sat ✅ 95.64920 —
CVC4 CVC4-SMT-COMP-2012-Resubmission default sat ✅ 73.01730 —
CVC4-SMT-EVAL-2013 default sat ✅ 75.09940 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unknown ❌ — —
MathSAT5-HeavyBV-SMT-COMP-2012 default sat ✅ 139.95600 —
MathSAT5-SMT-COMP-2011 default sat ✅ 17.28760 —
MathSAT5-SMT-COMP-2012 default sat ✅ 17.84250 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default sat ✅ 676.88700 —
SONOLAR-SMT-COMP-2010 default sat ✅ 25.88080 —
SONOLAR-SMT-COMP-2011 default unknown ❌ — —
SONOLAR-SMT-COMP-2012 default sat ✅ 540.70100 —
STP STP2-SMT-COMP-2011 default sat ✅ 155.95100 —
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 0.44 (5/9) 4Simp 4Simp - 2014 default sat ✅ 43.59370 43.64940
Abziz abziz_portfolio_all_features default sat ✅ 14.55000 14.44250
abziz_portfolio_min_features default sat ✅ 38.28930 38.18090
Boolector Boolector boolector unknown ❌ 2399.12000 2400.05000
CVC4 CVC4 f7118b2 default unknown ❌ 19.19740 36.54540
MathSAT MathSAT-5.2.12-Main default sat ✅ 22.00210 22.00170
SONOLAR sonolar_smtcomp-2014 default unknown ❌ 2399.51000 2400.03000
STP stp-cryptominisat4 default sat ✅ 15.56740 15.56160
Yices2 Yices-2.2.1-smtcomp2014 default sat ✅ 2.16148 2.15967
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.31000 2400.00000
SMT-COMP 2015 0.29 (5/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv sat ✅ 49.13440 49.15350
CVC4 CVC4-master-2015-06-15-9b32405-main default sat ✅ 33.34010 66.39190
CVC4-experimental-2015-06-15-ff5745a-main default sat ✅ 83.12670 166.39500
MathSAT MathSat 5.3.6 main smtcomp2015_main sat ✅ 284.65500 284.75300
SMT-RAT SMT-RAT-final default unknown ❌ 911.31800 911.75000
STP stp-cryptominisat4 default sat ✅ 15.43840 15.44070
stp-cmsat4-v15 default unknown ❌ 2400.01000 2400.78000
stp-cmsat4-mt-v15 default unknown ❌ 13.51900 13.51690
stp-minisat-v15 default sat ✅ 316.29000 316.39500
Yices2 Yices default sat ✅ 1.97905 1.97870
Z3 z3 4.4.0 default unknown ❌ 2400.01000 2400.66000
SMT-COMP 2016 0.30 (7/10) ABC ABC_default default_abc unknown ❌ 1051.33000 1005.52000
ABC_glucose glucose unknown ❌ 2400.03000 2399.16000
Boolector Boolector boolector sat ✅ 21.59050 21.60290
Boolector preprop boolector sat ✅ 1.64685 1.64814
CVC4 CVC4-master-2016-05-27-cfef263-main default sat ✅ 84.00110 168.17300
MapleSTP MapleSTP default sat ✅ 702.96400 703.37100
MapleSTP-mt default unknown ❌ 2400.05000 9502.50000
MathSAT mathsat-5.3.11-linux-x86_64-Main default sat ✅ 286.33600 286.48700
MinkeyRink Minkeyrink 2016 default sat ✅ 1016.45000 1922.73000
Q3B Q3B default unknown ❌ 2400.02000 7203.50000
STP stp-cms-exp-2016 default sat ✅ 1066.61000 1067.16000
stp-cms-mt-2016 default sat ✅ 560.97300 2161.54000
stp-cms-st-2016 default sat ✅ 1488.34000 1488.99000
stp-minisat-st-2016 default sat ✅ 1248.33000 1249.02000
Yices2 Yices-2.4.2 default sat ✅ 2.17360 2.17482
Z3 z3-4.4.1 default unknown ❌ 2400.02000 2401.19000
SMT-COMP 2017 0.38 (5/8) Boolector Boolector+CaDiCaL SMT17 final boolector sat ✅ 16.55470 16.54860
Boolector SMT17 final boolector sat ✅ 16.43370 16.43180
CVC4 CVC4-smtcomp2017-main default sat ✅ 86.20860 172.73200
MathSAT mathsat-5.4.1-linux-x86_64-Main default sat ✅ 59.52850 59.52830
MinkeyRink MinkeyRink 2017.3a default unknown ❌ 600.06100 1176.60000
Q3B Q3B default unknown ❌ 600.06400 1790.65000
STP stp_st default sat ✅ 307.06400 307.01000
stp_mt default unknown ❌ 600.09000 1702.39000
Yices2 Yices2-Main default sat ✅ 2.24599 2.24368
Z3 z3-4.5.0 default unknown ❌ 600.08500 597.95000
SMT-COMP 2018 0.14 (6/7) Boolector Boolector_default sat ✅ 10.58090 10.57960
CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 214.65200 214.62900
MathSAT mathsat-5.5.2-linux-x86_64-Main_default sat ✅ 423.65300 423.64500
MinkeyRink Minkeyrink MT_mt sat ✅ 188.61500 650.11200
Minkeyrink ST_st sat ✅ 131.29100 131.26400
STP STP-CMS-st-2018_default-no-stderr sat ✅ 134.85700 134.83000
STP-CMS-mt-2018_multicore-no-stderr sat ✅ 171.53200 632.60700
STP-Riss-st-2018_riss-no-stderr unknown ❌ 1200.01000 1199.81000
Yices2 Yices 2.6.0_default sat ✅ 1.69782 1.69774
Z3 z3-4.7.1_default unknown ❌ 1200.02000 1199.55000
SMT-COMP 2019 0.12 (7/8) Boolector Boolector-wrapped-sq_default sat ✅ 0.04242 0.04242
Poolector-wrapped-sq_default sat ✅ 0.17581 0.18896
Boolector-ReasonLS boolector-ReasonLS-wrapped-sq_default sat ✅ 21.74630 21.74540
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default sat ✅ 18.81790 18.81900
MinkeyRink MinkeyRink MT-wrapped-sq_default sat ✅ 160.06400 552.55400
MinkeyRink ST-wrapped-sq_default sat ✅ 149.26800 149.27400
Par4 Par4-wrapped-sq_default sat ✅ 1.50215 4.37000
STP STP-2019-wrapped-sq_default sat ✅ 114.78000 114.74200
stp-mergesat-fixed-wrapped-sq_default sat ✅ 126.24200 126.20400
stp-minisat-wrapped-sq_default sat ✅ 98.75760 98.74820
stp-mt-wrapped-sq_default sat ✅ 150.19700 547.01500
stp-portfolio-fixed-wrapped-sq_default sat ✅ 141.32200 366.59600
stp-riss-wrapped-sq_default unknown ❌ 18.19720 15.30450
Yices2 Yices 2.6.2-wrapped-sq_default sat ✅ 1.93178 1.93171
Yices 2.6.2 Cadical-wrapped-sq_default sat ✅ 4.89086 4.89052
Yices 2.6.2 Cryptominisat-wrapped-sq_default unknown ❌ 2400.06000 2399.58000
Yices 2.6.2 MCSAT BV-wrapped-sq_default sat ✅ 1695.62000 1695.46000
Yices 2.6.2 new bvsolver-wrapped-sq_default sat ✅ 562.29700 562.22000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 2400.06000 2399.71000
SMT-COMP 2024 0.33 (4/6) Bitwuzla Bitwuzla sat ✅ 12.02001 11.91995
cvc5 cvc5 sat ✅ 25.53345 25.41961
SMTInterpol SMTInterpol unknown ❌ 1202.25232 1234.84227
STP STP sat ✅ 27.65225 27.55102
Yices2 Yices2 sat ✅ 86.81086 86.69415
Z3alpha Z3-alpha unknown ❌ 1201.71523 1200.96621
SMT-COMP 2025 0.44 (5/9) Bitwuzla Bitwuzla sat ✅ 0.30466 0.18607
Bitwuzla-MachBV-base sat ✅ 10.41656 10.29274
Bitwuzla-MachBV Bitwuzla-MachBV sat ✅ 10.31024 10.18650
BVDecide bv_decide sat ✅ 78.62873 78.61139
bv_decide-nokernel sat ✅ 77.49866 77.45495
cvc5 cvc5 sat ✅ 23.35097 23.22996
SMTInterpol SMTInterpol unknown ❌ 1201.59477 1233.71352
Yices2 Yices2 sat ✅ 2.45944 2.33321
Z3alpha Z3-alpha unknown ❌ 1201.00526 4801.15578
Z3 Z3-alpha-base unknown ❌ 1201.56247 1201.29098
Z3-Owl-base unknown ❌ 1201.49962 1201.17843
z3siri-base unknown ❌ 1201.56346 1201.27435
Z3-Owl Z3-Owl unknown ❌ 1202.25786 1201.64351