Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw112.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: 112

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size23804
Compressed Size2671
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 23796
Compressed Size2685
Max. Term Depth231
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite117 not1 =118 let113
concat6 extract339 bvnot338 bvand447
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.57 (3/7) Beaver Beaver-1.0 unsat ✅ 98.30000 —
Boolector Boolector unsat ✅ 2.80000 —
CVC3 CVC3-1.5 unknown ❌ 1593.70000 —
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 unsat ✅ 231.50000 —
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 0.71 (2/7) 4Simp 4Simp unknown ❌ 1200.00000 —
Abziz AbzizPortfolio+BOOLECTOR+MATHSAT+SONOLAR+STP2+Z3_6 unsat ✅ 317.00000 —
Boolector Boolector unknown ❌ 1200.00000 —
CVC3 CVC3 v2.4.2 unknown ❌ — —
CVC4 1.0rc.3931 unknown ❌ 1190.30000 —
MathSAT MathSAT-HeavyBV unknown ❌ 1200.10000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
Z3 Z3 unsat ✅ 117.10000 —
SMT-COMP 2011 0.83 (1/6) Boolector Boolector 1.5.23-833 unknown ❌ 1200.00000 —
CVC3 CVC3 v2.4 unknown ❌ 1200.20000 —
MathSAT MathSAT5 unknown ❌ 1200.00000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
STP2 unknown ❌ 1200.00000 —
Z3 Z3 unsat ✅ 90.60000 —
SMT Evaluation 2013 0.11 (8/9) 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 14.37620 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 41.37910 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 11.04040 —
abziz_portfolio_2012_minfeatures default unsat ✅ 29.30990 —
abziz_portfolio_2012_solvers default unsat ✅ 5.66682 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 13.91130 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 0.31769 —
Boolector-SMT-COMP-2011 default unsat ✅ 8.81726 —
Boolector-SMT-COMP-2012 default unsat ✅ 0.50550 —
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 ✅ 121.14100 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unsat ✅ 2.43604 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 4.17235 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 5.86821 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 2.21885 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 22.15280 —
SONOLAR-SMT-COMP-2010 default unsat ✅ 49.91750 —
SONOLAR-SMT-COMP-2011 default unsat ✅ 21.13780 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 24.46570 —
STP STP2-SMT-COMP-2011 default unsat ✅ 5.26100 —
STP2-SMT-COMP-2012 default unsat ✅ 19.30820 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 102.92700 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 47.49840 —
Z3-SMT-COMP-2011 default unsat ✅ 33.41620 —
SMT-COMP 2014 4Simp 4Simp - 2014 default unsat ✅ 24.42820 24.43030
Abziz abziz_portfolio_all_features default unsat ✅ 5.61267 5.50691
abziz_portfolio_min_features default unsat ✅ 5.61664 5.50991
Boolector Boolector boolector unsat ✅ 17.87770 17.87130
CVC4 CVC4 f7118b2 default unsat ✅ 3.60085 7.17191
MathSAT MathSAT-5.2.12-Main default unsat ✅ 2.17335 2.16567
SONOLAR sonolar_smtcomp-2014 default unsat ✅ 16.78690 16.77740
STP stp-cryptominisat4 default unsat ✅ 34.23320 34.21880
Yices2 Yices-2.2.1-smtcomp2014 default unsat ✅ 21.09930 21.09280
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 28.26120 28.26470
SMT-COMP 2015 0.14 (6/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 6.61208 6.61199
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 19.78440 39.67300
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 3.80122 7.59085
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 29.03090 29.04460
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.88000
STP stp-cryptominisat4 default unsat ✅ 34.40700 34.40680
stp-cmsat4-v15 default unsat ✅ 20.88350 20.89080
stp-cmsat4-mt-v15 default unknown ❌ 0.56592 0.56491
stp-minisat-v15 default unsat ✅ 16.95160 16.95740
Yices2 Yices default unsat ✅ 24.32700 24.33530
Z3 z3 4.4.0 default unsat ✅ 34.32770 34.32780
SMT-COMP 2016 0.10 (9/10) ABC ABC_default default_abc unknown ❌ 2400.02000 2401.58000
ABC_glucose glucose unsat ✅ 21.18390 21.19660
Boolector Boolector boolector unsat ✅ 9.31848 9.32467
Boolector preprop boolector unsat ✅ 10.40570 10.41170
CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 4.08966 8.17268
MapleSTP MapleSTP default unsat ✅ 85.95510 85.99780
MapleSTP-mt default unsat ✅ 113.22000 447.30400
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 26.66000 26.67650
MinkeyRink Minkeyrink 2016 default unsat ✅ 30.65070 104.13900
Q3B Q3B default unknown ❌ 2400.10000 7203.96000
STP stp-cms-exp-2016 default unsat ✅ 40.60180 40.62530
stp-cms-mt-2016 default unsat ✅ 18.85210 72.94420
stp-cms-st-2016 default unsat ✅ 20.05080 20.06140
stp-minisat-st-2016 default unsat ✅ 123.84000 123.92200
Yices2 Yices-2.4.2 default unsat ✅ 23.87270 23.88500
Z3 z3-4.4.1 default unsat ✅ 40.35680 40.38000
SMT-COMP 2017 0.50 (4/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 11.63840 11.63420
Boolector SMT17 final boolector unsat ✅ 20.03730 20.03750
CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.08600 1204.14000
MathSAT mathsat-5.4.1-linux-x86_64-Main default unknown ❌ 600.05800 599.82000
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 17.19300 28.95000
Q3B Q3B default unknown ❌ 600.06500 1786.86000
STP stp_st default unsat ✅ 14.50810 14.49980
stp_mt default unsat ✅ 15.56150 59.20630
Yices2 Yices2-Main default unknown ❌ 600.04400 599.94000
Z3 z3-4.5.0 default unsat ✅ 42.47810 42.47690
SMT-COMP 2018 0.43 (4/7) Boolector Boolector_default unsat ✅ 7.55770 7.55778
CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.02000 1200.03000
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.01000 1199.81000
MinkeyRink Minkeyrink MT_mt unsat ✅ 23.58280 91.70290
Minkeyrink ST_st unsat ✅ 20.87510 20.87290
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 22.57770 22.57540
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 10.82690 40.87170
STP-Riss-st-2018_riss-no-stderr unsat ✅ 16.83660 16.83470
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.93000
Z3 z3-4.7.1_default unsat ✅ 70.35250 70.34450
SMT-COMP 2022 0.29 (5/7) Bitwuzla Bitwuzla-fixed_default unsat ✅ 1.35794 1.35772
Bitwuzla-wrapped_default unsat ✅ 1.37004 1.37003
cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 42.01260 42.01100
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.04000 1199.78000
STP STP 2022.4_default unsat ✅ 34.24450 34.24190
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.10000 1199.98000
Z3++BV z3++bv_0702_default unsat ✅ 56.70700 56.70020
Z3 z3-4.8.17_default unsat ✅ 44.49000 44.48470
SMT-COMP 2023 0.33 (4/6) Bitwuzla Bitwuzla-fixed_default unsat ✅ 0.86518 0.86504
cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.03000 1199.87000
STP STP 2022.4_default unsat ✅ 44.13550 44.12870
STP 2022.4_default unsat ✅ 44.13590 44.12800
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 5.33182 15.54600
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 31.52670 31.52720
Z3-Owl z3-Owl-Final_default unsat ✅ 39.61070 39.61110
z3-Owl-Final_default unsat ✅ 72.98540 72.96270
SMT-COMP 2024 0.50 (3/6) Bitwuzla Bitwuzla unsat ✅ 3.12524 3.02522
cvc5 cvc5 unsat ✅ 34.51457 34.39903
SMTInterpol SMTInterpol unknown ❌ 1201.71969 1254.10283
STP STP unknown ❌ 1201.28143 1200.64951
Yices2 Yices2 unknown ❌ 1201.25114 1201.11020
Z3alpha Z3-alpha unsat ✅ 165.72241 165.61302