Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw224.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: 224

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size47056
Compressed Size4699
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 47048
Compressed Size4712
Max. Term Depth455
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite229 not1 =230 let225
concat6 extract675 bvnot674 bvand895
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.86 (1/7) Beaver Beaver-1.0 unknown ❌ 1801.00000 —
Boolector Boolector unsat ✅ 8.80000 —
CVC3 CVC3-1.5 unknown ❌ 1800.80000 —
MathSAT MathSAT-4.2 unknown ❌ 1801.00000 —
Spear Spear unknown ❌ — —
Spear v1.9 (fh-1-2) unknown ❌ — —
SWORD SWORD v0.2 unknown ❌ 1800.80000 —
Z3 Z3.2 unknown ❌ 1800.80000 —
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 2012 0.29 (5/7) 4Simp 4Simp unsat ✅ 624.40000 —
Abziz AbzizPortfolio+BOOLECTOR+MATHSAT+SONOLAR+STP2+Z3_6 unsat ✅ 1043.40000 —
Boolector Boolector unsat ✅ 7.00000 —
CVC3 CVC3 v2.4.2 unknown ❌ — —
CVC4 1.0rc.3931 unknown ❌ 932.30000 —
MathSAT MathSAT-HeavyBV unsat ✅ 83.20000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
Z3 Z3 unsat ✅ 869.60000 —
SMT-COMP 2011 0.83 (1/6) Boolector Boolector 1.5.23-833 unknown ❌ 1200.00000 —
CVC3 CVC3 v2.4 unknown ❌ 1200.40000 —
MathSAT MathSAT5 unknown ❌ 1200.10000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
STP2 unknown ❌ 361.90000 —
Z3 Z3 unsat ✅ 1106.90000 —
SMT Evaluation 2013 0.22 (7/9) 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 243.61600 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 44.59560 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 39.92140 —
abziz_portfolio_2012_minfeatures default unsat ✅ 750.66600 —
abziz_portfolio_2012_solvers default unsat ✅ 11.29410 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 40.32600 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 2.17276 —
Boolector-SMT-COMP-2011 default unsat ✅ 24.43360 —
Boolector-SMT-COMP-2012 default unsat ✅ 4.37948 —
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 unsat ✅ 26.84600 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 29.46120 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 38.52260 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 27.62800 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 467.37100 —
SONOLAR-SMT-COMP-2010 default unsat ✅ 1207.13000 —
SONOLAR-SMT-COMP-2011 default unsat ✅ 720.00000 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 748.64100 —
STP STP2-SMT-COMP-2011 default unsat ✅ 34.12160 —
STP2-SMT-COMP-2012 default unsat ✅ 253.72600 —
simplifyingSTP-SMT-COMP-2010 default unknown ❌ — —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 636.50800 —
Z3-SMT-COMP-2011 default unsat ✅ 1055.01000 —
SMT-COMP 2014 0.67 (3/9) 4Simp 4Simp - 2014 default unknown ❌ 2399.52000 2400.07000
Abziz abziz_portfolio_all_features default unknown ❌ 2399.03000 2400.06000
abziz_portfolio_min_features default unknown ❌ 2399.22000 2400.02000
Boolector Boolector boolector unsat ✅ 41.46860 41.47770
CVC4 CVC4 f7118b2 default unknown ❌ 1197.14000 2402.22000
MathSAT MathSAT-5.2.12-Main default unknown ❌ 2398.91000 2400.05000
SONOLAR sonolar_smtcomp-2014 default unknown ❌ 2399.12000 2400.00000
STP stp-cryptominisat4 default unsat ✅ 540.79600 540.96400
Yices2 Yices-2.2.1-smtcomp2014 default unknown ❌ 2398.91000 2400.10000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 534.52900 534.58200
SMT-COMP 2015 0.14 (6/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 19.36440 19.37110
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 361.42800 725.84900
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 22.10550 44.29030
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 382.00000 382.16200
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.91000
STP stp-cryptominisat4 default unknown ❌ 235.69900 235.76400
stp-cmsat4-v15 default unsat ✅ 385.37000 385.52900
stp-cmsat4-mt-v15 default unknown ❌ 2.25611 2.25566
stp-minisat-v15 default unsat ✅ 227.79900 227.88400
Yices2 Yices default unsat ✅ 650.93400 651.18100
Z3 z3 4.4.0 default unsat ✅ 465.10200 465.25100
SMT-COMP 2016 0.20 (8/10) ABC ABC_default default_abc unknown ❌ 2400.09000 2401.65000
ABC_glucose glucose unsat ✅ 233.35800 233.45500
Boolector Boolector boolector unsat ✅ 16.13700 16.14660
Boolector preprop boolector unsat ✅ 20.67850 20.69210
CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 65.04160 130.54900
MapleSTP MapleSTP default unknown ❌ 2400.02000 2401.33000
MapleSTP-mt default unknown ❌ 2400.09000 9535.25000
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 407.97300 408.06700
MinkeyRink Minkeyrink 2016 default unsat ✅ 334.42000 1229.58000
Q3B Q3B default unknown ❌ 2400.04000 7204.06000
STP stp-cms-exp-2016 default unsat ✅ 382.61500 382.78800
stp-cms-mt-2016 default unsat ✅ 320.62100 1262.50000
stp-cms-st-2016 default unsat ✅ 389.25400 389.47700
stp-minisat-st-2016 default unsat ✅ 1589.70000 1590.60000
Yices2 Yices-2.4.2 default unsat ✅ 559.43200 559.71700
Z3 z3-4.4.1 default unsat ✅ 427.14600 427.36200
SMT-COMP 2017 0.25 (6/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 49.28980 49.28620
Boolector SMT17 final boolector unsat ✅ 66.63630 66.62770
CVC4 CVC4-smtcomp2017-main default unsat ✅ 17.90260 35.84550
MathSAT mathsat-5.4.1-linux-x86_64-Main default unsat ✅ 341.46900 341.40200
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 218.59500 434.93000
Q3B Q3B default unknown ❌ 600.06300 1786.93000
STP stp_st default unsat ✅ 290.04700 231.48700
stp_mt default unsat ✅ 359.42800 808.04500
Yices2 Yices2-Main default unknown ❌ 600.04500 600.02000
Z3 z3-4.5.0 default unsat ✅ 411.35900 411.19300
SMT-COMP 2018 0.43 (4/7) Boolector Boolector_default unsat ✅ 38.54910 38.54830
CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.04000 1199.93000
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.11000 1199.89000
MinkeyRink Minkeyrink MT_mt unsat ✅ 371.18000 1466.20000
Minkeyrink ST_st unsat ✅ 433.34200 433.25900
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 688.22400 688.20600
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 316.54000 1251.08000
STP-Riss-st-2018_riss-no-stderr unsat ✅ 183.76900 183.74600
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.97000
Z3 z3-4.7.1_default unsat ✅ 849.21600 849.03700
SMT-COMP 2019 0.38 (5/8) Boolector Boolector-wrapped-sq_default unsat ✅ 4.06928 4.06900
Poolector-wrapped-sq_default unsat ✅ 4.82816 18.77000
Boolector-ReasonLS boolector-ReasonLS-wrapped-sq_default unsat ✅ 16.75510 16.75450
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.03000 2399.62000
MinkeyRink MinkeyRink MT-wrapped-sq_default unsat ✅ 246.62000 971.71400
MinkeyRink ST-wrapped-sq_default unsat ✅ 449.63400 449.52200
Par4 Par4-wrapped-sq_default unsat ✅ 36.17430 108.41000
STP STP-2019-wrapped-sq_default unsat ✅ 396.41700 396.38600
stp-mergesat-fixed-wrapped-sq_default unsat ✅ 1514.77000 1514.67000
stp-minisat-wrapped-sq_default unsat ✅ 197.36000 197.34700
stp-mt-wrapped-sq_default unsat ✅ 304.19100 1199.30000
stp-portfolio-fixed-wrapped-sq_default unsat ✅ 1666.95000 2409.28000
stp-riss-wrapped-sq_default unknown ❌ 2.65593 2.65602
Yices2 Yices 2.6.2-wrapped-sq_default unknown ❌ 2400.01000 2399.74000
Yices 2.6.2 Cadical-wrapped-sq_default unknown ❌ 2400.09000 2400.11000
Yices 2.6.2 Cryptominisat-wrapped-sq_default unknown ❌ 2400.03000 2399.79000
Yices 2.6.2 MCSAT BV-wrapped-sq_default unknown ❌ 2400.03000 2400.09000
Yices 2.6.2 new bvsolver-wrapped-sq_default unknown ❌ 2400.06000 2399.89000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 2400.02000 2399.77000
SMT-COMP 2022 0.57 (3/7) Bitwuzla Bitwuzla-fixed_default unsat ✅ 3.53089 3.53070
Bitwuzla-wrapped_default unsat ✅ 3.49910 3.49848
cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.04000 1199.72000
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.11000 1199.92000
STP STP 2022.4_default unsat ✅ 598.14700 598.09200
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.11000 1199.99000
Z3++BV z3++bv_0702_default unsat ✅ 451.52900 451.41600
Z3 z3-4.8.17_default unknown ❌ 1200.03000 1199.96000
SMT-COMP 2023 0.33 (4/6) Bitwuzla Bitwuzla-fixed_default unsat ✅ 6.43582 6.43531
cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.02000 1199.82000
STP STP 2022.4_default unsat ✅ 187.46500 187.41000
STP 2022.4_default unsat ✅ 189.04300 188.98300
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 6.56133 19.05530
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 646.46800 646.41100
Z3-Owl z3-Owl-Final_default unsat ✅ 387.03700 386.99000
z3-Owl-Final_default unsat ✅ 468.73300 468.62300