Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw448.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: 448

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size93558
Compressed Size7511
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 93550
Compressed Size7523
Max. Term Depth903
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite453 not1 =454 let449
concat6 extract1347 bvnot1346 bvand1791
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.86 (1/7) Beaver Beaver-1.0 unknown ❌ 1.60000 —
Boolector Boolector unsat ✅ 78.40000 —
CVC3 CVC3-1.5 unknown ❌ 1801.00000 —
MathSAT MathSAT-4.2 unknown ❌ 1800.80000 —
Spear Spear unknown ❌ 0.10000 —
Spear v1.9 (fh-1-2) unknown ❌ 0.10000 —
SWORD SWORD v0.2 unknown ❌ 1801.00000 —
Z3 Z3.2 unknown ❌ 1800.80000 —
SMT-COMP 2010 1.00 (0/3) CVC3 CVC3 2.3 unknown ❌ 906.30000 —
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 ✅ 310.40000 —
CVC3 CVC3 v2.4.2 unknown ❌ 769.20000 —
CVC4 1.0rc.3931 unknown ❌ 1200.00000 —
MathSAT MathSAT-HeavyBV unsat ✅ 762.20000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
Z3 Z3 unknown ❌ 1200.00000 —
SMT-COMP 2011 1.00 (0/6) Boolector Boolector 1.5.23-833 unknown ❌ 1200.10000 —
CVC3 CVC3 v2.4 unknown ❌ 749.80000 —
MathSAT MathSAT5 unknown ❌ 1200.10000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
STP2 unknown ❌ 107.30000 —
Z3 Z3 unknown ❌ 1200.00000 —
SMT Evaluation 2013 0.56 (4/9) 4Simp 4Simp-SMT-COMP-2012 default unknown ❌ — —
Abziz abziz_portfolio_2011_minfeatures_2 default unknown ❌ — —
abziz_portfolio_2011_solvers_2 default unsat ✅ 960.68300 —
abziz_portfolio_2012_minfeatures default unknown ❌ — —
abziz_portfolio_2012_solvers default unsat ✅ 48.89920 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 1068.74000 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 18.15670 —
Boolector-SMT-COMP-2011 default unsat ✅ 152.15200 —
Boolector-SMT-COMP-2012 default unsat ✅ 43.45940 —
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 ✅ 237.81900 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 239.20300 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 278.94600 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 229.95400 —
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 unsat ✅ 956.05900 —
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 0.89 (1/9) 4Simp 4Simp - 2014 default unknown ❌ 2399.12000 2400.05000
Abziz abziz_portfolio_all_features default unknown ❌ 2399.22000 2400.04000
abziz_portfolio_min_features default unknown ❌ 2399.03000 2400.04000
Boolector Boolector boolector unsat ✅ 110.63100 110.66700
CVC4 CVC4 f7118b2 default unknown ❌ 1197.46000 2402.17000
MathSAT MathSAT-5.2.12-Main default unknown ❌ 2399.12000 2400.07000
SONOLAR sonolar_smtcomp-2014 default unknown ❌ 2399.51000 2400.01000
STP stp-cryptominisat4 default unknown ❌ 2399.12000 2400.09000
Yices2 Yices-2.2.1-smtcomp2014 default unknown ❌ 2399.12000 2400.06000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.51000 2400.08000
SMT-COMP 2015 0.71 (2/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 133.72100 133.75200
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.11000 4824.12000
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 187.52400 376.33400
MathSAT MathSat 5.3.6 main smtcomp2015_main unknown ❌ 2400.01000 2400.80000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.90000
STP stp-cryptominisat4 default unknown ❌ 2400.01000 2400.86000
stp-cmsat4-v15 default unknown ❌ 2400.01000 2400.78000
stp-cmsat4-mt-v15 default unknown ❌ 9.97394 9.97748
stp-minisat-v15 default unknown ❌ 2400.01000 2400.93000
Yices2 Yices default unknown ❌ 2400.01000 2401.17000
Z3 z3 4.4.0 default unknown ❌ 2400.01000 2400.81000
SMT-COMP 2016 0.90 (1/10) ABC ABC_default default_abc unknown ❌ 2400.03000 2401.22000
ABC_glucose glucose unknown ❌ 2400.03000 2401.33000
Boolector Boolector boolector unsat ✅ 43.34640 43.36990
Boolector preprop boolector unsat ✅ 72.60020 72.63680
CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 2400.48000 4829.89000
MapleSTP MapleSTP default unknown ❌ 2400.02000 2401.28000
MapleSTP-mt default unknown ❌ 2400.09000 9517.70000
MathSAT mathsat-5.3.11-linux-x86_64-Main default unknown ❌ 2400.04000 2401.34000
MinkeyRink Minkeyrink 2016 default unknown ❌ 2400.07000 8824.38000
Q3B Q3B default unknown ❌ 2400.03000 7203.75000
STP stp-cms-exp-2016 default unknown ❌ 2400.06000 2401.47000
stp-cms-mt-2016 default unknown ❌ 2400.07000 9508.40000
stp-cms-st-2016 default unknown ❌ 2400.02000 2401.52000
stp-minisat-st-2016 default unknown ❌ 2400.02000 2401.36000
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.57000
Z3 z3-4.4.1 default unknown ❌ 2400.03000 2401.46000
SMT-COMP 2017 0.88 (1/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 333.15900 326.95600
Boolector SMT17 final boolector unsat ✅ 334.08000 334.07700
CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.17500 1205.87000
MathSAT mathsat-5.4.1-linux-x86_64-Main default unknown ❌ 600.05800 599.89000
MinkeyRink MinkeyRink 2017.3a default unknown ❌ 600.08300 1199.19000
Q3B Q3B default unknown ❌ 600.07800 1799.43000
STP stp_st default unknown ❌ 600.04300 599.41000
stp_mt default unknown ❌ 600.10200 2352.04000
Yices2 Yices2-Main default unknown ❌ 600.01300 599.89000
Z3 z3-4.5.0 default unknown ❌ 600.05100 598.61000
SMT-COMP 2018 0.86 (1/7) Boolector Boolector_default unsat ✅ 199.04400 199.04400
CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.04000 1199.74000
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.01000 1199.66000
MinkeyRink Minkeyrink MT_mt unknown ❌ 1200.06000 4735.52000
Minkeyrink ST_st unknown ❌ 1200.10000 1200.06000
STP STP-CMS-st-2018_default-no-stderr unknown ❌ 1200.04000 1199.76000
STP-CMS-mt-2018_multicore-no-stderr unknown ❌ 1200.05000 4745.41000
STP-Riss-st-2018_riss-no-stderr unknown ❌ 1200.01000 1199.73000
Yices2 Yices 2.6.0_default unknown ❌ 1200.11000 1200.05000
Z3 z3-4.7.1_default unknown ❌ 1200.02000 1199.77000
SMT-COMP 2021 0.75 (1/4) Bitwuzla Bitwuzla-fixed_default unsat ✅ 16.44450 16.44500
MathSAT mathsat-5.6.6_default unknown ❌ 1200.05000 1199.85000
STP STP 2021.0_default unknown ❌ 1200.08000 4743.05000
Z3 z3-4.8.11_default unknown ❌ 1200.02000 1199.68000
SMT-COMP 2022 0.71 (2/7) Bitwuzla Bitwuzla-fixed_default unsat ✅ 25.59440 25.59450
Bitwuzla-wrapped_default unsat ✅ 32.13410 32.10420
cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.03000 1199.28000
MathSAT MathSAT-5.6.8_default unsat ✅ 200.41000 200.39700
STP STP 2022.4_default unknown ❌ 1200.01000 1199.82000
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.08000 1199.82000
Z3++BV z3++bv_0702_default unknown ❌ 1200.03000 1199.54000
Z3 z3-4.8.17_default unknown ❌ 1200.09000 1199.83000
SMT-COMP 2024 0.83 (1/6) Bitwuzla Bitwuzla unsat ✅ 69.21339 69.08130
cvc5 cvc5 unknown ❌ 1201.72494 1201.12743
SMTInterpol SMTInterpol unknown ❌ 1201.74484 1255.64010
STP STP unknown ❌ 1201.34227 1201.22133
Yices2 Yices2 unknown ❌ 1201.31004 1201.04089
Z3alpha Z3-alpha unknown ❌ 1201.71615 1201.32387