Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw080.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: 80

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size17070
Compressed Size2097
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 17062
Compressed Size2111
Max. Term Depth167
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite85 not1 =86 let81
concat6 extract243 bvnot242 bvand319
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.57 (3/7) Beaver Beaver-1.0 unsat ✅ 20.50000 —
Boolector Boolector unsat ✅ 2.10000 —
CVC3 CVC3-1.5 unknown ❌ 745.40000 —
MathSAT MathSAT-4.2 unknown ❌ 1800.90000 —
Spear Spear unknown ❌ — —
Spear v1.9 (fh-1-2) unknown ❌ — —
SWORD SWORD v0.2 unknown ❌ 1801.00000 —
Z3 Z3.2 unsat ✅ 62.10000 —
SMT-COMP 2010 0.33 (2/3) CVC3 CVC3 2.3 unknown ❌ 1200.00000 —
SONOLAR SONOLAR r252 unsat ✅ 28.90000 —
STP simplifyingSTP unsat ✅ 59.20000 —
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 0.11 (8/9) 4Simp 4Simp - 2014 default unsat ✅ 4.16787 4.16037
Abziz abziz_portfolio_all_features default unsat ✅ 5.27181 5.17396
abziz_portfolio_min_features default unsat ✅ 5.29093 5.20496
Boolector Boolector boolector unsat ✅ 1.66490 1.65675
CVC4 CVC4 f7118b2 default unknown ❌ 1197.44000 2402.20000
MathSAT MathSAT-5.2.12-Main default unsat ✅ 0.98045 0.97185
SONOLAR sonolar_smtcomp-2014 default unsat ✅ 3.44976 3.43948
STP stp-cryptominisat4 default unsat ✅ 10.25870 10.24640
Yices2 Yices-2.2.1-smtcomp2014 default unsat ✅ 4.61110 4.60430
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 7.91211 7.90180
SMT-COMP 2015 0.57 (3/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 4.83600 4.83726
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.12000 4824.77000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 2400.03000 4821.28000
MathSAT MathSat 5.3.6 main smtcomp2015_main unknown ❌ 2400.01000 2400.83000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.95000
STP stp-cryptominisat4 default unsat ✅ 5.95553 5.95609
stp-cmsat4-v15 default unsat ✅ 5.54504 5.54516
stp-cmsat4-mt-v15 default unknown ❌ 0.34033 0.33895
stp-minisat-v15 default unsat ✅ 5.22585 5.22720
Yices2 Yices default unknown ❌ 2400.01000 2400.84000
Z3 z3 4.4.0 default unsat ✅ 10.59670 10.60040
SMT-COMP 2016 0.10 (9/10) ABC ABC_default default_abc unsat ✅ 255.07200 255.24300
ABC_glucose glucose unsat ✅ 7.10054 7.10450
Boolector Boolector boolector unsat ✅ 11.49370 22.87980
Boolector preprop boolector unsat ✅ 11.91950 11.92620
CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 2.04913 4.08532
MapleSTP MapleSTP default unsat ✅ 5.94460 5.94765
MapleSTP-mt default unsat ✅ 6.77254 25.72080
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 5.52461 5.52831
MinkeyRink Minkeyrink 2016 default unsat ✅ 10.48030 33.39030
Q3B Q3B default unknown ❌ 2400.07000 7203.19000
STP stp-cms-exp-2016 default unsat ✅ 9.77978 9.78539
stp-cms-mt-2016 default unsat ✅ 5.57209 21.12160
stp-cms-st-2016 default unsat ✅ 6.39574 6.39859
stp-minisat-st-2016 default unsat ✅ 38.43320 38.45530
Yices2 Yices-2.4.2 default unsat ✅ 5.53772 5.54086
Z3 z3-4.4.1 default unsat ✅ 10.88310 10.88930
SMT-COMP 2017 0.50 (4/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 5.74614 5.74439
Boolector SMT17 final boolector unsat ✅ 10.38380 10.38230
CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.09600 787.08000
MathSAT mathsat-5.4.1-linux-x86_64-Main default unknown ❌ 600.08100 587.87000
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 5.74587 6.20440
Q3B Q3B default unknown ❌ 600.09300 1799.52000
STP stp_st default unsat ✅ 5.79195 5.79139
stp_mt default unsat ✅ 7.85312 23.65660
Yices2 Yices2-Main default unknown ❌ 600.10300 599.96800
Z3 z3-4.5.0 default unsat ✅ 10.69250 10.69230
SMT-COMP 2018 0.43 (4/7) Boolector Boolector_default unsat ✅ 3.75680 3.75663
CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.07000 1199.95000
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.11000 1199.94000
MinkeyRink Minkeyrink MT_mt unsat ✅ 5.89173 22.29940
Minkeyrink ST_st unsat ✅ 5.73115 5.73083
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 6.97350 6.97339
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 4.05903 15.08360
STP-Riss-st-2018_riss-no-stderr unsat ✅ 5.31707 5.31725
Yices2 Yices 2.6.0_default unknown ❌ 1200.11000 1199.88000
Z3 z3-4.7.1_default unsat ✅ 13.29670 13.29480
SMT-COMP 2022 0.29 (5/7) Bitwuzla Bitwuzla-fixed_default unsat ✅ 0.91405 0.91396
Bitwuzla-wrapped_default unsat ✅ 0.91443 0.91432
cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 7.76933 7.76895
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.02000 1199.81000
STP STP 2022.4_default unsat ✅ 7.29074 7.29031
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.02000 1199.79000
Z3++BV z3++bv_0702_default unsat ✅ 8.23792 8.23686
Z3 z3-4.8.17_default unsat ✅ 11.32660 11.32720
SMT-COMP 2023 0.33 (4/6) Bitwuzla Bitwuzla-fixed_default unsat ✅ 0.39348 0.39341
cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.01000 1199.90000
STP STP 2022.4_default unsat ✅ 8.57931 8.57942
STP 2022.4_default unsat ✅ 8.62960 8.62905
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 4.89275 13.68320
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 6.08413 6.08368
Z3-Owl z3-Owl-Final_default unsat ✅ 20.02820 19.41190
z3-Owl-Final_default unsat ✅ 23.40350 23.40110