Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw096.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: 96

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size20475
Compressed Size2331
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 20467
Compressed Size2342
Max. Term Depth199
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite101 not1 =102 let97
concat6 extract291 bvnot290 bvand383
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 0.17 (5/6) Boolector Boolector 1.5.23-833 unsat ✅ 13.50000 —
CVC3 CVC3 v2.4 unknown ❌ 1200.10000 —
MathSAT MathSAT5 unsat ✅ 4.20000 —
SONOLAR SONOLAR unsat ✅ 27.30000 —
STP simplifyingSTP unsat ✅ 75.10000 —
STP2 unsat ✅ 6.10000 —
Z3 Z3 unsat ✅ 47.90000 —
SMT Evaluation 2013 0.11 (8/9) 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 7.88802 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 14.83990 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 8.75539 —
abziz_portfolio_2012_minfeatures default unsat ✅ 6.39789 —
abziz_portfolio_2012_solvers default unsat ✅ 5.41280 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 11.79880 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 0.24331 —
Boolector-SMT-COMP-2011 default unsat ✅ 6.72968 —
Boolector-SMT-COMP-2012 default unsat ✅ 0.33305 —
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 ✅ 82.47740 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unsat ✅ 1.58982 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 2.91422 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 3.67915 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 1.33685 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 8.66936 —
SONOLAR-SMT-COMP-2010 default unsat ✅ 28.55340 —
SONOLAR-SMT-COMP-2011 default unsat ✅ 9.61332 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 11.72740 —
STP STP2-SMT-COMP-2011 default unsat ✅ 2.95549 —
STP2-SMT-COMP-2012 default unsat ✅ 8.71220 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 25.69220 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 26.03560 —
Z3-SMT-COMP-2011 default unsat ✅ 20.73120 —
SMT-COMP 2014 0.67 (3/9) 4Simp 4Simp - 2014 default unknown ❌ 2399.32000 2400.08000
Abziz abziz_portfolio_all_features default unknown ❌ 2399.22000 2400.03000
abziz_portfolio_min_features default unknown ❌ 2399.22000 2400.06000
Boolector Boolector boolector unsat ✅ 3.67323 3.66544
CVC4 CVC4 f7118b2 default unknown ❌ 1197.37000 2402.46000
MathSAT MathSAT-5.2.12-Main default unknown ❌ 2399.02000 2400.07000
SONOLAR sonolar_smtcomp-2014 default unknown ❌ 2399.12000 2400.08000
STP stp-cryptominisat4 default unsat ✅ 25.37450 25.37610
Yices2 Yices-2.2.1-smtcomp2014 default unknown ❌ 2399.12000 2400.02000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 19.02150 19.01810
SMT-COMP 2015 0.14 (6/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 8.71041 8.71267
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 8.44280 16.90540
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 2.49210 4.96325
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 13.80780 13.81190
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2401.15000
STP stp-cryptominisat4 default unsat ✅ 18.61040 18.61720
stp-cmsat4-v15 default unsat ✅ 12.45550 12.46110
stp-cmsat4-mt-v15 default unknown ❌ 0.48355 0.48192
stp-minisat-v15 default unsat ✅ 7.97804 7.97879
Yices2 Yices default unsat ✅ 10.96940 10.97230
Z3 z3 4.4.0 default unsat ✅ 15.58830 15.59260
SMT-COMP 2016 0.40 (6/10) ABC ABC_default default_abc unknown ❌ 2400.02000 2401.40000
ABC_glucose glucose unknown ❌ 2400.12000 2401.54000
Boolector Boolector boolector unsat ✅ 6.90245 6.90666
Boolector preprop boolector unsat ✅ 7.68910 7.69327
CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 2.68839 5.36275
MapleSTP MapleSTP default unsat ✅ 35.75820 35.77900
MapleSTP-mt default unsat ✅ 31.75750 123.57600
MathSAT mathsat-5.3.11-linux-x86_64-Main default unknown ❌ 2400.02000 2401.41000
MinkeyRink Minkeyrink 2016 default unsat ✅ 18.63440 60.73170
Q3B Q3B default unknown ❌ 2400.08000 7203.77000
STP stp-cms-exp-2016 default unsat ✅ 22.04060 22.05220
stp-cms-mt-2016 default unsat ✅ 10.46060 39.79870
stp-cms-st-2016 default unsat ✅ 11.18580 11.19270
stp-minisat-st-2016 default unsat ✅ 106.29400 106.34600
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.34000
Z3 z3-4.4.1 default unsat ✅ 25.05950 25.07170
SMT-COMP 2017 0.12 (7/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 8.33841 8.33349
Boolector SMT17 final boolector unsat ✅ 21.62530 21.62230
CVC4 CVC4-smtcomp2017-main default unsat ✅ 3.18392 6.35855
MathSAT mathsat-5.4.1-linux-x86_64-Main default unsat ✅ 14.83180 14.83280
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 10.33590 15.23000
Q3B Q3B default unknown ❌ 600.02400 1799.32000
STP stp_st default unsat ✅ 8.31249 8.31082
stp_mt default unsat ✅ 8.87398 33.49460
Yices2 Yices2-Main default unsat ✅ 11.58340 11.56780
Z3 z3-4.5.0 default unsat ✅ 27.45660 27.45220
SMT-COMP 2018 0.43 (4/7) Boolector Boolector_default unsat ✅ 5.45858 5.45863
CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.07000 1199.93000
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.02000 1199.88000
MinkeyRink Minkeyrink MT_mt unsat ✅ 13.01070 50.16580
Minkeyrink ST_st unsat ✅ 12.47200 12.47190
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 13.71470 13.70900
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 12.18120 46.62480
STP-Riss-st-2018_riss-no-stderr unsat ✅ 10.39910 20.68920
Yices2 Yices 2.6.0_default unknown ❌ 1200.02000 1199.87000
Z3 z3-4.7.1_default unsat ✅ 20.66020 20.65870
SMT-COMP 2019 Boolector Boolector-wrapped-sq_default unsat ✅ 0.96474 0.96476
Poolector-wrapped-sq_default unsat ✅ 0.68144 2.18000
Boolector-ReasonLS boolector-ReasonLS-wrapped-sq_default unsat ✅ 5.99700 5.99662
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 14.77220 14.77120
MinkeyRink MinkeyRink MT-wrapped-sq_default unsat ✅ 13.76090 53.15740
MinkeyRink ST-wrapped-sq_default unsat ✅ 11.13930 11.13860
Par4 Par4-wrapped-sq_default unsat ✅ 3.02191 8.97000
STP STP-2019-wrapped-sq_default unsat ✅ 12.90090 12.90020
stp-mergesat-fixed-wrapped-sq_default unsat ✅ 40.67340 40.66800
stp-minisat-wrapped-sq_default unsat ✅ 8.16541 8.16427
stp-mt-wrapped-sq_default unsat ✅ 8.02581 30.24170
stp-portfolio-fixed-wrapped-sq_default unsat ✅ 43.35990 68.05660
stp-riss-wrapped-sq_default unknown ❌ 0.50375 0.50326
Yices2 Yices 2.6.2-wrapped-sq_default unsat ✅ 14.46060 14.45960
Yices 2.6.2 Cadical-wrapped-sq_default unsat ✅ 10.52870 10.52780
Yices 2.6.2 Cryptominisat-wrapped-sq_default unsat ✅ 11.23780 11.23760
Yices 2.6.2 MCSAT BV-wrapped-sq_default unknown ❌ 2400.10000 2399.95000
Yices 2.6.2 new bvsolver-wrapped-sq_default unsat ✅ 14.89770 14.89620
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 68.32920 68.32390
SMT-COMP 2021 0.25 (3/4) Bitwuzla Bitwuzla-fixed_default unsat ✅ 1.16554 1.16523
MathSAT mathsat-5.6.6_default unknown ❌ 1200.02000 1199.71000
STP STP 2021.0_default unsat ✅ 8.22472 62.36340
Z3 z3-4.8.11_default unsat ✅ 88.52260 88.50870
SMT-COMP 2022 0.14 (6/7) Bitwuzla Bitwuzla-fixed_default unsat ✅ 1.10298 1.10291
Bitwuzla-wrapped_default unsat ✅ 1.10352 1.10335
cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.03000 1200.00000
MathSAT MathSAT-5.6.8_default unsat ✅ 1.42938 1.42920
STP STP 2022.4_default unsat ✅ 11.30150 11.30050
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 10.80190 10.80190
Z3++BV z3++bv_0702_default unsat ✅ 42.33540 42.31720
Z3 z3-4.8.17_default unsat ✅ 47.31720 47.32140
SMT-COMP 2024 0.50 (3/6) Bitwuzla Bitwuzla unsat ✅ 1.52774 1.42799
cvc5 cvc5 unsat ✅ 14.19894 14.09128
SMTInterpol SMTInterpol unknown ❌ 1201.73972 1284.06244
STP STP unknown ❌ 1201.25255 1200.89925
Yices2 Yices2 unknown ❌ 1201.22545 1200.73812
Z3alpha Z3-alpha unsat ✅ 152.27890 152.17123