Benchmark

non-incremental/QF_BV/brummayerbiere3/maxand016.smt2 

Propagating bounds through logical operators (unsigned context).
The maxAND(a, b, c, d) algorithm computes the maximum 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 maximum.

Contributed by Robert Brummayer (robert.brummayer@gmail.com)
Benchmark
Size11863
Compressed Size1999
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 11855
Compressed Size1969
Max. Term Depth64
Asserts 1
Declared Functions0
Declared Constants6
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite149 not1 =97 let49
concat1 bvnot197 bvand134 bvadd17
bvult37 bvlshr15 zero_extend1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT Evaluation 2013 0.22 (7/9) 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 0.10759 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 0.15181 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 0.15549 —
abziz_portfolio_2012_minfeatures default unsat ✅ 0.15095 —
abziz_portfolio_2012_solvers default unsat ✅ 0.15097 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 0.16713 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 0.04580 —
Boolector-SMT-COMP-2011 default unsat ✅ 0.17780 —
Boolector-SMT-COMP-2012 default unsat ✅ 0.08641 —
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 ✅ 1.69123 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 171.05900 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 1.87190 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 1.80874 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 0.03537 —
SONOLAR-SMT-COMP-2010 default unknown ❌ — —
SONOLAR-SMT-COMP-2011 default unsat ✅ 0.13960 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 0.12302 —
STP STP2-SMT-COMP-2011 default unsat ✅ 0.11983 —
STP2-SMT-COMP-2012 default unsat ✅ 0.11640 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 0.13382 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 4.04556 —
Z3-SMT-COMP-2011 default unsat ✅ 0.14922 —
SMT-COMP 2014 4Simp 4Simp - 2014 default unsat ✅ 0.09355 0.08299
Abziz abziz_portfolio_all_features default unsat ✅ 0.24717 0.24296
abziz_portfolio_min_features default unsat ✅ 0.25749 0.24496
Boolector Boolector boolector unsat ✅ 0.14736 0.13898
CVC4 CVC4 f7118b2 default unsat ✅ 1.04867 2.05769
MathSAT MathSAT-5.2.12-Main default unsat ✅ 1.64399 1.63375
SONOLAR sonolar_smtcomp-2014 default unsat ✅ 0.04335 0.03299
STP stp-cryptominisat4 default unsat ✅ 0.12583 0.12498
Yices2 Yices-2.2.1-smtcomp2014 default unsat ✅ 65.66350 65.68000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 6.52172 6.51301
SMT-COMP 2015 Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 0.10263 0.10198
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 1.42104 2.82457
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 1.62946 3.24351
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 1.13443 1.13383
SMT-RAT SMT-RAT-final default unsat ✅ 19.32310 19.32510
STP stp-cryptominisat4 default unsat ✅ 0.14253 0.14098
stp-cmsat4-v15 default unsat ✅ 0.11564 0.11498
stp-cmsat4-mt-v15 default unknown ❌ 0.04971 0.04899
stp-minisat-v15 default unsat ✅ 0.09548 0.09498
Yices2 Yices default unsat ✅ 243.33200 243.43000
Z3 z3 4.4.0 default unsat ✅ 3.91124 3.91240
SMT-COMP 2016 ABC ABC_default default_abc unsat ✅ 0.60343 0.60389
ABC_glucose glucose unsat ✅ 0.22393 0.22432
Boolector Boolector boolector unsat ✅ 0.11164 0.11214
Boolector preprop boolector unsat ✅ 0.12349 0.12401
CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 1.63891 3.26667
MapleSTP MapleSTP default unsat ✅ 1.76748 1.76831
MapleSTP-mt default unsat ✅ 0.74108 2.84176
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 1.22351 1.22524
MinkeyRink Minkeyrink 2016 default unsat ✅ 0.13625 0.20468
Q3B Q3B default unsat ✅ 0.20846 0.20974
STP stp-cms-exp-2016 default unsat ✅ 0.10424 0.10426
stp-cms-mt-2016 default unsat ✅ 0.09981 0.30246
stp-cms-st-2016 default unsat ✅ 0.09590 0.09594
stp-minisat-st-2016 default unsat ✅ 0.57841 0.57776
Yices2 Yices-2.4.2 default unsat ✅ 42.84560 42.87440
Z3 z3-4.4.1 default unsat ✅ 4.16383 4.16760
SMT-COMP 2017 Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 0.18068 0.17967
Boolector SMT17 final boolector unsat ✅ 0.21954 0.21796
CVC4 CVC4-smtcomp2017-main default unsat ✅ 10.05770 19.56750
MathSAT mathsat-5.4.1-linux-x86_64-Main default unsat ✅ 1.47287 1.26964
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 0.15001 0.12339
Q3B Q3B default unsat ✅ 0.17863 0.26720
STP stp_st default unsat ✅ 0.13890 0.13827
stp_mt default unsat ✅ 0.21146 0.31762
Yices2 Yices2-Main default unsat ✅ 61.68370 61.67900
Z3 z3-4.5.0 default unsat ✅ 9.40670 9.40347
SMT-COMP 2018 Boolector Boolector_default unsat ✅ 0.12728 0.12720
CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 1.25912 1.25908
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unsat ✅ 1.06355 1.06437
MinkeyRink Minkeyrink MT_mt unsat ✅ 0.18406 0.57794
Minkeyrink ST_st unsat ✅ 0.19904 0.19899
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 0.14555 0.14558
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 0.15120 0.47039
STP-Riss-st-2018_riss-no-stderr unsat ✅ 0.25454 0.25462
Yices2 Yices 2.6.0_default unsat ✅ 58.84970 58.84740
Z3 z3-4.7.1_default unsat ✅ 23.89270 23.89020
SMT-COMP 2019 Boolector Boolector-wrapped-sq_default unsat ✅ 0.17419 0.17405
Poolector-wrapped-sq_default unsat ✅ 0.27616 0.51716
Boolector-ReasonLS boolector-ReasonLS-wrapped-sq_default unsat ✅ 0.15420 0.15421
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 1.00811 1.00811
MinkeyRink MinkeyRink MT-wrapped-sq_default unsat ✅ 0.16400 0.50515
MinkeyRink ST-wrapped-sq_default unsat ✅ 0.19829 0.19832
Par4 Par4-wrapped-sq_default unsat ✅ 0.16508 0.00573
STP STP-2019-wrapped-sq_default unsat ✅ 0.13361 0.13398
stp-mergesat-fixed-wrapped-sq_default unsat ✅ 2.51374 2.51384
stp-minisat-wrapped-sq_default unsat ✅ 0.12715 0.12731
stp-mt-wrapped-sq_default unsat ✅ 0.14173 0.39866
stp-portfolio-fixed-wrapped-sq_default unsat ✅ 2.54843 2.73667
stp-riss-wrapped-sq_default unknown ❌ 0.04380 0.04396
Yices2 Yices 2.6.2-wrapped-sq_default unsat ✅ 47.55150 47.55120
Yices 2.6.2 Cadical-wrapped-sq_default unsat ✅ 0.89032 0.89028
Yices 2.6.2 Cryptominisat-wrapped-sq_default unsat ✅ 0.67342 0.67338
Yices 2.6.2 MCSAT BV-wrapped-sq_default unknown ❌ 2400.06000 2399.97000
Yices 2.6.2 new bvsolver-wrapped-sq_default unsat ✅ 0.18277 0.18278
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 3.82869 3.82843
SMT-COMP 2021 Bitwuzla Bitwuzla-fixed_default unsat ✅ 0.30809 0.30807
MathSAT mathsat-5.6.6_default unsat ✅ 1.23334 1.23321
STP STP 2021.0_default unsat ✅ 0.19625 0.65269
Z3 z3-4.8.11_default unsat ✅ 7.23641 7.23573
SMT-COMP 2023 0.17 (5/6) Bitwuzla Bitwuzla-fixed_default unsat ✅ 0.08382 0.08374
cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 1.13797 1.13857
STP STP 2022.4_default unsat ✅ 0.20585 0.20589
STP 2022.4_default unsat ✅ 0.26377 0.26097
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 1200.11000 1246.14000
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 31.03240 31.03080
Z3-Owl z3-Owl-Final_default unsat ✅ 1.86157 1.86139
z3-Owl-Final_default unsat ✅ 1.61082 3.11091
SMT-COMP 2024 0.17 (5/6) Bitwuzla Bitwuzla unsat ✅ 0.26276 0.16265
cvc5 cvc5 unsat ✅ 1.02501 0.92544
SMTInterpol SMTInterpol unknown ❌ 1201.71672 1249.59547
STP STP unsat ✅ 0.38167 0.28194
Yices2 Yices2 unsat ✅ 0.58784 0.48780
Z3alpha Z3-alpha unsat ✅ 6.61449 6.51483
SMT-COMP 2025 0.11 (8/9) Bitwuzla Bitwuzla unsat ✅ 0.33162 0.20483
Bitwuzla-MachBV-base unsat ✅ 0.32762 0.20592
Bitwuzla-MachBV Bitwuzla-MachBV unsat ✅ 0.42706 0.30920
BVDecide bv_decide unsat ✅ 2.22391 2.06397
bv_decide-nokernel unsat ✅ 1.57325 1.42407
cvc5 cvc5 unsat ✅ 0.97209 0.85271
SMTInterpol SMTInterpol unknown ❌ 1201.47173 1684.68148
Yices2 Yices2 unsat ✅ 0.46905 0.34098
Z3alpha Z3-alpha unsat ✅ 0.61656 1.19216
Z3 Z3-alpha-base unsat ✅ 0.43081 0.30970
Z3-Owl-base unsat ✅ 0.97021 0.85071
z3siri-base unsat ✅ 0.40890 0.28244
Z3-Owl Z3-Owl unsat ✅ 2.05410 1.93766