Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw128.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: 128

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size27126
Compressed Size2959
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 27118
Compressed Size2971
Max. Term Depth263
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite133 not1 =134 let129
concat6 extract387 bvnot386 bvand511
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.57 (3/7) Beaver Beaver-1.0 unsat ✅ 162.60000 —
Boolector Boolector unsat ✅ 3.30000 —
CVC3 CVC3-1.5 unknown ❌ 1666.60000 —
MathSAT MathSAT-4.2 unknown ❌ 1801.00000 —
Spear Spear unknown ❌ — —
Spear v1.9 (fh-1-2) unknown ❌ — —
SWORD SWORD v0.2 unknown ❌ 1801.00000 —
Z3 Z3.2 unsat ✅ 515.00000 —
SMT-COMP 2010 0.33 (2/3) CVC3 CVC3 2.3 unknown ❌ 1200.10000 —
SONOLAR SONOLAR r252 unsat ✅ 279.90000 —
STP simplifyingSTP unsat ✅ 346.50000 —
SMT-COMP 2012 0.71 (2/7) 4Simp 4Simp unknown ❌ 1200.00000 —
Abziz AbzizPortfolio+BOOLECTOR+MATHSAT+SONOLAR+STP2+Z3_6 unsat ✅ 315.40000 —
Boolector Boolector unknown ❌ 1200.00000 —
CVC3 CVC3 v2.4.2 unknown ❌ — —
CVC4 1.0rc.3931 unknown ❌ 1200.00000 —
MathSAT MathSAT-HeavyBV unknown ❌ 1200.10000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
Z3 Z3 unsat ✅ 115.20000 —
SMT-COMP 2011 0.17 (5/6) Boolector Boolector 1.5.23-833 unsat ✅ 22.70000 —
CVC3 CVC3 v2.4 unknown ❌ 1200.10000 —
MathSAT MathSAT5 unsat ✅ 10.80000 —
SONOLAR SONOLAR unsat ✅ 92.50000 —
STP simplifyingSTP unsat ✅ 489.60000 —
STP2 unsat ✅ 14.40000 —
Z3 Z3 unsat ✅ 170.10000 —
SMT Evaluation 2013 0.11 (8/9) 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 28.41920 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 63.14090 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 65.67530 —
abziz_portfolio_2012_minfeatures default unsat ✅ 5.93700 —
abziz_portfolio_2012_solvers default unsat ✅ 5.94444 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 10.98450 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 0.45454 —
Boolector-SMT-COMP-2011 default unsat ✅ 13.27470 —
Boolector-SMT-COMP-2012 default unsat ✅ 0.78160 —
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 ✅ 124.09600 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unsat ✅ 4.93612 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 6.47971 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 8.47279 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 3.52114 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 43.20390 —
SONOLAR-SMT-COMP-2010 default unsat ✅ 87.23670 —
SONOLAR-SMT-COMP-2011 default unsat ✅ 51.03100 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 36.39710 —
STP STP2-SMT-COMP-2011 default unsat ✅ 5.88600 —
STP2-SMT-COMP-2012 default unsat ✅ 25.70820 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 79.34440 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 79.99100 —
Z3-SMT-COMP-2011 default unsat ✅ 56.37590 —
SMT-COMP 2014 0.11 (8/9) 4Simp 4Simp - 2014 default unsat ✅ 34.30820 34.21880
Abziz abziz_portfolio_all_features default unsat ✅ 6.70776 6.60274
abziz_portfolio_min_features default unsat ✅ 6.75554 6.63774
Boolector Boolector boolector unsat ✅ 22.09820 22.09160
CVC4 CVC4 f7118b2 default unknown ❌ 1197.59000 2402.60000
MathSAT MathSAT-5.2.12-Main default unsat ✅ 4.47796 4.47032
SONOLAR sonolar_smtcomp-2014 default unsat ✅ 25.43720 25.43910
STP stp-cryptominisat4 default unsat ✅ 43.36020 43.37040
Yices2 Yices-2.2.1-smtcomp2014 default unsat ✅ 39.26590 39.27300
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 54.38920 54.38970
SMT-COMP 2015 0.14 (6/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 15.41120 15.41670
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 25.90640 51.96610
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 5.24798 10.48940
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 36.86930 36.87840
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.91000
STP stp-cryptominisat4 default unsat ✅ 52.37830 52.38900
stp-cmsat4-v15 default unsat ✅ 34.59730 34.59970
stp-cmsat4-mt-v15 default unknown ❌ 0.73917 0.73789
stp-minisat-v15 default unsat ✅ 31.36040 31.36420
Yices2 Yices default unsat ✅ 37.06140 37.06940
Z3 z3 4.4.0 default unsat ✅ 48.90960 48.92960
SMT-COMP 2016 0.50 (5/10) ABC ABC_default default_abc unknown ❌ 2400.10000 2401.29000
ABC_glucose glucose unknown ❌ 2400.02000 2401.40000
Boolector Boolector boolector unsat ✅ 22.37670 22.38860
Boolector preprop boolector unsat ✅ 23.77940 23.79240
CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 2400.05000 4821.23000
MapleSTP MapleSTP default unsat ✅ 163.03400 163.13100
MapleSTP-mt default unsat ✅ 145.18600 575.09900
MathSAT mathsat-5.3.11-linux-x86_64-Main default unknown ❌ 2400.02000 2401.15000
MinkeyRink Minkeyrink 2016 default unsat ✅ 58.24380 188.62600
Q3B Q3B default unknown ❌ 2400.05000 7203.33000
STP stp-cms-exp-2016 default unsat ✅ 61.93640 61.97250
stp-cms-mt-2016 default unsat ✅ 33.24530 129.73500
stp-cms-st-2016 default unsat ✅ 57.03270 57.06510
stp-minisat-st-2016 default unsat ✅ 262.76700 262.90400
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.26000
Z3 z3-4.4.1 default unsat ✅ 48.99890 49.02850
SMT-COMP 2017 0.12 (7/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 15.25150 15.24100
Boolector SMT17 final boolector unsat ✅ 25.68820 25.68830
CVC4 CVC4-smtcomp2017-main default unsat ✅ 5.00608 10.00920
MathSAT mathsat-5.4.1-linux-x86_64-Main default unsat ✅ 51.39330 51.38340
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 44.13750 82.31000
Q3B Q3B default unknown ❌ 600.02200 1799.32000
STP stp_st default unsat ✅ 21.12810 21.12300
stp_mt default unsat ✅ 25.26990 97.36490
Yices2 Yices2-Main default unsat ✅ 56.05920 112.04600
Z3 z3-4.5.0 default unsat ✅ 58.51610 58.50940
SMT-COMP 2018 0.43 (4/7) Boolector Boolector_default unsat ✅ 10.67750 10.67730
CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.02000 1200.00000
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.03000 1199.85000
MinkeyRink Minkeyrink MT_mt unsat ✅ 37.61690 146.81300
Minkeyrink ST_st unsat ✅ 32.24330 32.23920
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 33.73730 33.73360
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 30.94920 118.90000
STP-Riss-st-2018_riss-no-stderr unsat ✅ 22.56950 22.56650
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.95000
Z3 z3-4.7.1_default unsat ✅ 95.92900 95.92600
SMT-COMP 2019 0.12 (7/8) Boolector Boolector-wrapped-sq_default unsat ✅ 1.98789 1.98786
Poolector-wrapped-sq_default unsat ✅ 0.88136 3.14035
Boolector-ReasonLS boolector-ReasonLS-wrapped-sq_default unsat ✅ 10.76640 10.76650
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.08000 2399.70000
MinkeyRink MinkeyRink MT-wrapped-sq_default unsat ✅ 35.15460 137.27900
MinkeyRink ST-wrapped-sq_default unsat ✅ 33.93970 33.94140
Par4 Par4-wrapped-sq_default unsat ✅ 10.86250 32.39000
STP STP-2019-wrapped-sq_default unsat ✅ 61.44010 61.42600
stp-mergesat-fixed-wrapped-sq_default unsat ✅ 158.31200 158.29900
stp-minisat-wrapped-sq_default unsat ✅ 25.98370 25.97680
stp-mt-wrapped-sq_default unsat ✅ 38.63970 150.28700
stp-portfolio-fixed-wrapped-sq_default unsat ✅ 178.98400 285.98800
stp-riss-wrapped-sq_default unknown ❌ 0.86799 0.86713
Yices2 Yices 2.6.2-wrapped-sq_default unsat ✅ 46.55930 46.55650
Yices 2.6.2 Cadical-wrapped-sq_default unsat ✅ 41.98570 41.98340
Yices 2.6.2 Cryptominisat-wrapped-sq_default unsat ✅ 58.04130 58.03900
Yices 2.6.2 MCSAT BV-wrapped-sq_default unknown ❌ 2400.11000 2399.78000
Yices 2.6.2 new bvsolver-wrapped-sq_default unsat ✅ 48.84680 48.84400
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 138.82400 138.77600