Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw512.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: 512

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size106892
Compressed Size8331
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 106884
Compressed Size8341
Max. Term Depth1031
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite517 not1 =518 let513
concat6 extract1539 bvnot1538 bvand2047
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.86 (1/7) Beaver Beaver-1.0 unknown ❌ 0.20000 —
Boolector Boolector unsat ✅ 387.00000 —
CVC3 CVC3-1.5 unknown ❌ 1800.70000 —
MathSAT MathSAT-4.2 unknown ❌ 1800.70000 —
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 ❌ 1200.30000 —
SONOLAR SONOLAR r252 unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
SMT-COMP 2012 1.00 (0/7) 4Simp 4Simp unknown ❌ 1200.00000 —
Abziz AbzizPortfolio+BOOLECTOR+MATHSAT+SONOLAR+STP2+Z3_6 unknown ❌ 1200.00000 —
Boolector Boolector unknown ❌ 1200.10000 —
CVC3 CVC3 v2.4.2 unknown ❌ 713.80000 —
CVC4 1.0rc.3931 unknown ❌ 1200.00000 —
MathSAT MathSAT-HeavyBV unknown ❌ 61.70000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
Z3 Z3 unknown ❌ 1200.00000 —
SMT Evaluation 2013 0.67 (3/9) 4Simp 4Simp-SMT-COMP-2012 default unknown ❌ — —
Abziz abziz_portfolio_2011_minfeatures_2 default unknown ❌ — —
abziz_portfolio_2011_solvers_2 default unsat ✅ 1403.66000 —
abziz_portfolio_2012_minfeatures default unknown ❌ — —
abziz_portfolio_2012_solvers default unsat ✅ 69.56930 —
AbzizPortfolio-SMT-COMP-2012 default unknown ❌ — —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 26.00310 —
Boolector-SMT-COMP-2011 default unsat ✅ 594.44900 —
Boolector-SMT-COMP-2012 default unsat ✅ 64.45430 —
CVC3 CVC3-SMT-COMP-2010 default unknown ❌ 816.28400 —
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 unsat ✅ 378.23300 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 407.82900 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 354.73100 —
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 0.89 (1/9) 4Simp 4Simp - 2014 default unknown ❌ 2399.22000 2400.03000
Abziz abziz_portfolio_all_features default unknown ❌ 2399.22000 2400.01000
abziz_portfolio_min_features default unknown ❌ 2399.22000 2400.04000
Boolector Boolector boolector unsat ✅ 155.45800 155.51200
CVC4 CVC4 f7118b2 default unknown ❌ 1197.21000 2402.31000
MathSAT MathSAT-5.2.12-Main default unknown ❌ 2399.12000 2400.01000
SONOLAR sonolar_smtcomp-2014 default unknown ❌ 2399.31000 2400.08000
STP stp-cryptominisat4 default unknown ❌ 2399.21000 2400.10000
Yices2 Yices-2.2.1-smtcomp2014 default unknown ❌ 2399.12000 2400.04000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.31000 2400.09000
SMT-COMP 2015 0.86 (1/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 243.48700 243.60600
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.16000 4822.74000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 2400.18000 4819.60000
MathSAT MathSat 5.3.6 main smtcomp2015_main unknown ❌ 2400.01000 2400.69000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.84000
STP stp-cryptominisat4 default unknown ❌ 2400.01000 2400.73000
stp-cmsat4-v15 default unknown ❌ 2400.01000 2400.92000
stp-cmsat4-mt-v15 default unknown ❌ 12.97150 12.97500
stp-minisat-v15 default unknown ❌ 2400.01000 2400.96000
Yices2 Yices default unknown ❌ 2400.01000 2401.10000
Z3 z3 4.4.0 default unknown ❌ 2400.01000 2400.76000
SMT-COMP 2016 0.90 (1/10) ABC ABC_default default_abc unknown ❌ 2400.09000 2401.41000
ABC_glucose glucose unknown ❌ 2400.11000 2400.02000
Boolector Boolector boolector unsat ✅ 309.98300 310.16700
Boolector preprop boolector unsat ✅ 345.24300 345.47400
CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 2400.21000 4830.36000
MapleSTP MapleSTP default unknown ❌ 2400.03000 2401.37000
MapleSTP-mt default unknown ❌ 2400.03000 9500.45000
MathSAT mathsat-5.3.11-linux-x86_64-Main default unknown ❌ 2400.03000 2401.28000
MinkeyRink Minkeyrink 2016 default unknown ❌ 2400.08000 8503.41000
Q3B Q3B default unknown ❌ 2400.02000 7203.96000
STP stp-cms-exp-2016 default unknown ❌ 2400.04000 2401.29000
stp-cms-mt-2016 default unknown ❌ 2400.09000 9494.23000
stp-cms-st-2016 default unknown ❌ 2400.06000 2401.45000
stp-minisat-st-2016 default unknown ❌ 2400.12000 2401.46000
Yices2 Yices-2.4.2 default unknown ❌ 2400.04000 2401.33000
Z3 z3-4.4.1 default unknown ❌ 2400.02000 2401.01000
SMT-COMP 2017 0.75 (2/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 359.39500 359.38300
Boolector SMT17 final boolector unsat ✅ 414.83700 414.80600
CVC4 CVC4-smtcomp2017-main default unsat ✅ 171.81400 342.05200
MathSAT mathsat-5.4.1-linux-x86_64-Main default unknown ❌ 600.06200 598.15000
MinkeyRink MinkeyRink 2017.3a default unknown ❌ 600.04000 1193.25000
Q3B Q3B default unknown ❌ 600.02900 1799.47000
STP stp_st default unknown ❌ 600.08400 599.70000
stp_mt default unknown ❌ 600.07400 1863.95000
Yices2 Yices2-Main default unknown ❌ 600.01400 599.89100
Z3 z3-4.5.0 default unknown ❌ 600.02000 599.85000
SMT-COMP 2018 0.71 (2/7) Boolector Boolector_default unsat ✅ 269.60200 269.58200
CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 108.40800 108.40400
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.02000 1199.86000
MinkeyRink Minkeyrink MT_mt unknown ❌ 1200.04000 4734.50000
Minkeyrink ST_st unknown ❌ 1200.02000 1199.80000
STP STP-CMS-st-2018_default-no-stderr unknown ❌ 1200.02000 1199.88000
STP-CMS-mt-2018_multicore-no-stderr unknown ❌ 1200.06000 4735.67000
STP-Riss-st-2018_riss-no-stderr unknown ❌ 1200.04000 1200.01000
Yices2 Yices 2.6.0_default unknown ❌ 1200.09000 1200.07000
Z3 z3-4.7.1_default unknown ❌ 1200.03000 1199.89000
SMT-COMP 2023 0.83 (1/6) Bitwuzla Bitwuzla-fixed_default unsat ✅ 152.01900 152.01700
cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.02000 1199.62000
STP STP 2022.4_default unknown ❌ 1200.04000 1199.78000
STP 2022.4_default unknown ❌ 1200.10000 1199.76000
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 12.20630 30.93160
Yices2 Yices 2 for SMTCOMP 2023_default unknown ❌ 1200.05000 1199.92000
Z3-Owl z3-Owl-Final_default unknown ❌ 1200.02000 1199.86000
z3-Owl-Final_default unknown ❌ 1200.02000 1199.74000
SMT-COMP 2025 0.78 (2/9) Bitwuzla Bitwuzla unsat ✅ 283.01928 282.85397
Bitwuzla-MachBV-base unsat ✅ 30.61011 30.48131
Bitwuzla-MachBV Bitwuzla-MachBV unsat ✅ 32.44738 32.30854
BVDecide bv_decide unknown ❌ 1201.98880 1202.10620
bv_decide-nokernel unknown ❌ 1201.95918 1202.09168
cvc5 cvc5 unknown ❌ 1201.79574 1201.09552
SMTInterpol SMTInterpol unknown ❌ 1201.55747 1239.80575
Yices2 Yices2 unknown ❌ 1201.35277 1201.03645
Z3alpha Z3-alpha unknown ❌ 1201.00715 4801.28730
Z3 Z3-alpha-base unknown ❌ 1201.48044 1201.14324
Z3-Owl-base unknown ❌ 1201.50637 1201.25263
z3siri-base unknown ❌ 1201.47157 1201.23933
Z3-Owl Z3-Owl unknown ❌ 1201.75223 1201.29917