Benchmark

non-incremental/QF_BV/brummayerbiere3/minand128.smt2 

Propagating bounds through logical operators (unsigned context).
The minAND(a, b, c, d) algorithm computes the minimum of x & y, where
a <= x <= b  and  c <= y <= d.

From the book "Hacker's delight" by Henry S. Warren, Jr., page 61
We verify that the result is indeed the minimum.

Contributed by Robert Brummayer (robert.brummayer@gmail.com)
Benchmark
Size116472
Compressed Size10438
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categorycrafted
First Occurrence2009-08-02
Generated By—
Generated On—
Generator—
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 116464
Compressed Size10490
Max. Term Depth909
Asserts 1
Declared Functions0
Declared Constants6
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite1157 not1 =769 let896
concat1 bvnot1539 bvand1284 bvadd128
bvult261 bvlshr127 zero_extend1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT Evaluation 2013 0.33 (6/9) 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 4.33027 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 27.55350 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 23.18370 —
abziz_portfolio_2012_minfeatures default unsat ✅ 68.78490 —
abziz_portfolio_2012_solvers default unsat ✅ 10.01170 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 27.59700 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 9.97854 —
Boolector-SMT-COMP-2011 default unsat ✅ 18.03160 —
Boolector-SMT-COMP-2012 default unsat ✅ 22.48050 —
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 unknown ❌ — —
MathSAT5-HeavyBV-SMT-COMP-2012 default unknown ❌ — —
MathSAT5-SMT-COMP-2011 default unknown ❌ — —
MathSAT5-SMT-COMP-2012 default unknown ❌ — —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 14.91830 —
SONOLAR-SMT-COMP-2010 default unknown ❌ — —
SONOLAR-SMT-COMP-2011 default unsat ✅ 22.86920 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 23.51870 —
STP STP2-SMT-COMP-2011 default unsat ✅ 8.43339 —
STP2-SMT-COMP-2012 default unsat ✅ 4.77183 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 45.56450 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 111.86600 —
Z3-SMT-COMP-2011 default unsat ✅ 71.83180 —
SMT-COMP 2014 0.33 (6/9) 4Simp 4Simp - 2014 default unsat ✅ 4.22500 4.22336
Abziz abziz_portfolio_all_features default unsat ✅ 10.42960 10.30720
abziz_portfolio_min_features default unsat ✅ 38.96910 38.86980
Boolector Boolector boolector unsat ✅ 55.02420 55.03660
CVC4 CVC4 f7118b2 default unknown ❌ 1196.85000 2402.20000
MathSAT MathSAT-5.2.12-Main default unknown ❌ 2399.31000 2400.03000
SONOLAR sonolar_smtcomp-2014 default unsat ✅ 7.81150 7.80381
STP stp-cryptominisat4 default unsat ✅ 6.52585 6.52001
Yices2 Yices-2.2.1-smtcomp2014 default unknown ❌ 2399.12000 2400.05000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 119.05900 119.08100
SMT-COMP 2015 0.43 (4/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 21.83160 21.83570
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2403.36000 4814.77000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 2400.86000 4822.94000
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 1264.17000 1264.65000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.80000
STP stp-cryptominisat4 default unsat ✅ 7.56676 7.56785
stp-cmsat4-v15 default unsat ✅ 3.71845 3.71843
stp-cmsat4-mt-v15 default unknown ❌ 0.78323 0.78188
stp-minisat-v15 default unsat ✅ 3.69726 3.69744
Yices2 Yices default unknown ❌ 2400.01000 2400.94000
Z3 z3 4.4.0 default unsat ✅ 140.16300 140.22300
SMT-COMP 2016 ABC ABC_default default_abc unsat ✅ 183.97400 184.06300
ABC_glucose glucose unsat ✅ 44.06810 44.09780
Boolector Boolector boolector unsat ✅ 19.30300 19.31310
Boolector preprop boolector unsat ✅ 19.37670 19.38790
CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 547.66500 1101.42000
MapleSTP MapleSTP default unsat ✅ 115.09300 115.16200
MapleSTP-mt default unsat ✅ 80.26940 316.70200
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 1185.33000 1185.82000
MinkeyRink Minkeyrink 2016 default unsat ✅ 4.22345 5.47207
Q3B Q3B default unsat ✅ 401.75700 983.88000
STP stp-cms-exp-2016 default unsat ✅ 3.92019 3.92238
stp-cms-mt-2016 default unsat ✅ 4.02655 13.85640
stp-cms-st-2016 default unsat ✅ 3.49130 3.49328
stp-minisat-st-2016 default unsat ✅ 32.16020 32.17920
Yices2 Yices-2.4.2 default unsat ✅ 1443.00000 1443.60000
Z3 z3-4.4.1 default unsat ✅ 134.31000 134.33600
SMT-COMP 2017 0.38 (5/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 18.67120 18.66930
Boolector SMT17 final boolector unsat ✅ 22.20200 22.19730
CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.21600 1205.58000
MathSAT mathsat-5.4.1-linux-x86_64-Main default unknown ❌ 600.04800 599.82700
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 4.21358 4.29153
Q3B Q3B default unsat ✅ 356.36100 848.54000
STP stp_st default unsat ✅ 4.55844 4.55669
stp_mt default unsat ✅ 4.90716 13.24520
Yices2 Yices2-Main default unknown ❌ 600.02300 599.92400
Z3 z3-4.5.0 default unsat ✅ 143.18400 143.15600
SMT-COMP 2018 0.29 (5/7) Boolector Boolector_default unsat ✅ 17.43540 17.42880
CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 743.35900 743.23400
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unknown ❌ 1200.06000 1199.96000
MinkeyRink Minkeyrink MT_mt unsat ✅ 13.21400 50.08670
Minkeyrink ST_st unsat ✅ 11.99010 11.98810
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 10.62230 10.62120
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 13.23900 49.29310
STP-Riss-st-2018_riss-no-stderr unsat ✅ 11.08410 11.08250
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.98000
Z3 z3-4.7.1_default unsat ✅ 998.57000 998.51900
SMT-COMP 2025 0.22 (7/9) Bitwuzla Bitwuzla unsat ✅ 10.22497 10.10657
Bitwuzla-MachBV-base unsat ✅ 8.29019 8.16828
Bitwuzla-MachBV Bitwuzla-MachBV unsat ✅ 9.00693 8.88656
BVDecide bv_decide unsat ✅ 90.40582 90.24317
bv_decide-nokernel unsat ✅ 64.50835 64.36646
cvc5 cvc5 unsat ✅ 661.67736 661.45116
SMTInterpol SMTInterpol unknown ❌ 1201.33658 1206.64667
Yices2 Yices2 unsat ✅ 25.79109 25.65759
Z3alpha Z3-alpha unsat ✅ 473.66252 1889.39542
Z3 Z3-alpha-base unknown ❌ 1201.27058 1200.93087
Z3-Owl-base unknown ❌ 1201.28004 1200.97051
z3siri-base unknown ❌ 1201.28621 1201.01935
Z3-Owl Z3-Owl unsat ✅ 421.27447 421.06267