Benchmark

non-incremental/QF_BV/brummayerbiere3/isqrtaddnoifinvalidvc.smt2 

Integer square root algorithm isqrt(x), where x is an unsigned 32 bit integer.
From the book "Hacker's delight" by Henry S. Warren, Jr., page 210
We use a variant of the algorithm that does not use an "if" inside the loop,
and uses "add" on m instead of "or".

We try to show the invalid verification condition:
y^2 == x or (y^2 < x and (y+1)^2 > x) holds, where y is the result.

Contributed by Robert Brummayer (robert.brummayer@gmail.com)
Benchmark
Size4760
Compressed Size1136
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 sat
Inferred Status sat
Size 4752
Compressed Size1138
Max. Term Depth56
Asserts 1
Declared Functions0
Declared Constants1
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite3 not1 =2 let48
bvnot17 bvand32 bvor17 bvadd33
bvmul2 bvsub31 bvult2 bvlshr31
bvashr16 zero_extend3

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2009 0.38 (5/8) Beaver beaver-smtcomp-2009 sat ✅ 4.70000 —
Boolector Boolector sat ✅ 27.30000 —
Boolector 1.2 sat ✅ 575.70000 —
CVC3 CVC3 2.0 unknown ❌ 900.00000 —
MathSAT MathSAT 4.3 sat ✅ 0.10000 —
OpenSMT OpenSMT 0.2 unknown ❌ 900.00000 —
STP STP #101 unknown ❌ 900.00000 —
SWORD sword-1.0 sat ✅ 134.00000 —
Yices2 Yices 2 proto sat ✅ 0.90000 —
SMT-COMP 2010 0.33 (2/3) CVC3 CVC3 2.3 unknown ❌ 1200.00000 —
SONOLAR SONOLAR r252 sat ✅ 43.00000 —
STP simplifyingSTP sat ✅ 6.70000 —
SMT-COMP 2012 0.14 (6/7) 4Simp 4Simp sat ✅ 131.40000 —
Abziz AbzizPortfolio+BOOLECTOR+MATHSAT+SONOLAR+STP2+Z3_6 sat ✅ 0.40000 —
Boolector Boolector sat ✅ 85.30000 —
CVC3 CVC3 v2.4.2 unknown ❌ 1201.70000 —
CVC4 1.0rc.3931 unknown ❌ 1200.00000 —
MathSAT MathSAT-HeavyBV sat ✅ 18.20000 —
SONOLAR SONOLAR sat ✅ 1.60000 —
Z3 Z3 sat ✅ 0.30000 —
SMT-COMP 2011 0.17 (5/6) Boolector Boolector 1.5.23-833 sat ✅ 187.60000 —
CVC3 CVC3 v2.4 unknown ❌ 1200.00000 —
MathSAT MathSAT5 sat ✅ 198.50000 —
SONOLAR SONOLAR sat ✅ 0.70000 —
STP simplifyingSTP sat ✅ 21.70000 —
STP2 sat ✅ 0.50000 —
Z3 Z3 sat ✅ 31.50000 —
SMT Evaluation 2013 1.00 (0/9) 4Simp 4Simp-SMT-COMP-2012 default unknown ❌ — —
Abziz abziz_portfolio_2011_minfeatures_2 default unknown ❌ — —
abziz_portfolio_2011_solvers_2 default unknown ❌ — —
abziz_portfolio_2012_minfeatures default unknown ❌ — —
abziz_portfolio_2012_solvers default unknown ❌ — —
AbzizPortfolio-SMT-COMP-2012 default unknown ❌ — —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unknown ❌ — —
Boolector-SMT-COMP-2011 default unknown ❌ — —
Boolector-SMT-COMP-2012 default unknown ❌ — —
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 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 4Simp 4Simp - 2014 default sat ✅ 1.97891 1.97670
Abziz abziz_portfolio_all_features default sat ✅ 5.20335 5.10597
abziz_portfolio_min_features default sat ✅ 121.17200 121.11200
Boolector Boolector boolector sat ✅ 8.79915 8.79166
CVC4 CVC4 f7118b2 default sat ✅ 0.17987 0.32495
MathSAT MathSAT-5.2.12-Main default sat ✅ 34.81750 34.82270
SONOLAR sonolar_smtcomp-2014 default sat ✅ 0.05533 0.05199
STP stp-cryptominisat4 default sat ✅ 14.00130 14.00590
Yices2 Yices-2.2.1-smtcomp2014 default sat ✅ 1.70363 1.69574
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default sat ✅ 4.98824 4.98224
SMT-COMP 2015 0.14 (6/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv sat ✅ 1.73814 1.73773
CVC4 CVC4-master-2015-06-15-9b32405-main default sat ✅ 8.36587 16.74750
CVC4-experimental-2015-06-15-ff5745a-main default sat ✅ 325.83100 653.96100
MathSAT MathSat 5.3.6 main smtcomp2015_main sat ✅ 67.78590 67.80370
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2401.01000
STP stp-cryptominisat4 default sat ✅ 2.50949 2.50962
stp-cmsat4-v15 default sat ✅ 0.80739 0.80688
stp-cmsat4-mt-v15 default unknown ❌ 0.08030 0.07899
stp-minisat-v15 default sat ✅ 1.95642 1.95570
Yices2 Yices default sat ✅ 1.41746 1.41678
Z3 z3 4.4.0 default sat ✅ 23.61630 23.62540
SMT-COMP 2016 ABC ABC_default default_abc sat ✅ 1.58556 1.58633
ABC_glucose glucose sat ✅ 15.64240 15.65130
Boolector Boolector boolector sat ✅ 3.97485 3.97709
Boolector preprop boolector sat ✅ 3.97999 3.98224
CVC4 CVC4-master-2016-05-27-cfef263-main default sat ✅ 2.52026 5.03202
MapleSTP MapleSTP default sat ✅ 0.11332 0.11335
MapleSTP-mt default sat ✅ 0.12802 0.30657
MathSAT mathsat-5.3.11-linux-x86_64-Main default sat ✅ 28.06130 28.08110
MinkeyRink Minkeyrink 2016 default sat ✅ 0.52389 0.66455
Q3B Q3B default sat ✅ 56.12400 168.09000
STP stp-cms-exp-2016 default sat ✅ 4.18155 4.18454
stp-cms-mt-2016 default sat ✅ 0.34741 1.18296
stp-cms-st-2016 default sat ✅ 1.66611 1.66714
stp-minisat-st-2016 default sat ✅ 15.18660 15.19550
Yices2 Yices-2.4.2 default sat ✅ 4.47852 4.48080
Z3 z3-4.4.1 default sat ✅ 19.37420 19.38640
SMT-COMP 2017 Boolector Boolector+CaDiCaL SMT17 final boolector sat ✅ 0.20629 0.20622
Boolector SMT17 final boolector sat ✅ 2.33509 2.33540
CVC4 CVC4-smtcomp2017-main default sat ✅ 192.72200 387.31600
MathSAT mathsat-5.4.1-linux-x86_64-Main default sat ✅ 39.13790 38.93880
MinkeyRink MinkeyRink 2017.3a default sat ✅ 7.21856 9.44000
Q3B Q3B default sat ✅ 92.17830 273.77000
STP stp_st default sat ✅ 19.84850 15.59910
stp_mt default sat ✅ 2.88648 6.97091
Yices2 Yices2-Main default sat ✅ 5.85548 4.91023
Z3 z3-4.5.0 default sat ✅ 11.75990 8.69712
SMT-COMP 2018 Boolector Boolector_default sat ✅ 0.01993 0.01981
CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 30.80100 30.80040
MathSAT mathsat-5.5.2-linux-x86_64-Main_default sat ✅ 135.53200 135.52100
MinkeyRink Minkeyrink MT_mt sat ✅ 0.22660 0.65999
Minkeyrink ST_st sat ✅ 24.43570 24.43470
STP STP-CMS-st-2018_default-no-stderr sat ✅ 15.28610 30.46410
STP-CMS-mt-2018_multicore-no-stderr sat ✅ 0.56352 2.03956
STP-Riss-st-2018_riss-no-stderr sat ✅ 2.41392 2.41407
Yices2 Yices 2.6.0_default sat ✅ 1.10645 1.10628
Z3 z3-4.7.1_default sat ✅ 10.81410 10.81350
SMT-COMP 2019 Boolector Boolector-wrapped-sq_default sat ✅ 0.12192 0.12191
Poolector-wrapped-sq_default sat ✅ 0.27890 0.22267
Boolector-ReasonLS boolector-ReasonLS-wrapped-sq_default sat ✅ 14.61410 14.61340
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default sat ✅ 3.15758 3.15765
MinkeyRink MinkeyRink MT-wrapped-sq_default sat ✅ 1.73902 6.67094
MinkeyRink ST-wrapped-sq_default sat ✅ 2.97264 2.97266
Par4 Par4-wrapped-sq_default sat ✅ 4.42356 13.10000
STP STP-2019-wrapped-sq_default sat ✅ 0.63099 0.63128
stp-mergesat-fixed-wrapped-sq_default sat ✅ 30.68030 30.66440
stp-minisat-wrapped-sq_default sat ✅ 1.06189 1.06169
stp-mt-wrapped-sq_default sat ✅ 0.65283 2.30672
stp-portfolio-fixed-wrapped-sq_default sat ✅ 31.32890 32.89600
stp-riss-wrapped-sq_default unknown ❌ 0.06865 0.06888
Yices2 Yices 2.6.2-wrapped-sq_default sat ✅ 0.60957 0.60959
Yices 2.6.2 Cadical-wrapped-sq_default sat ✅ 19.82590 19.82470
Yices 2.6.2 Cryptominisat-wrapped-sq_default sat ✅ 37.19940 37.19950
Yices 2.6.2 MCSAT BV-wrapped-sq_default sat ✅ 27.75580 27.75560
Yices 2.6.2 new bvsolver-wrapped-sq_default sat ✅ 79.94210 79.93750
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 261.92200 261.92500
SMT-COMP 2023 0.17 (5/6) Bitwuzla Bitwuzla-fixed_default sat ✅ 0.06888 0.06884
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 15.77850 15.77740
STP STP 2022.4_default sat ✅ 0.07133 0.07136
STP 2022.4_default sat ✅ 0.11686 0.11537
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 5.71172 16.81740
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.57542 0.57536
Z3-Owl z3-Owl-Final_default sat ✅ 1.77913 1.77920
z3-Owl-Final_default sat ✅ 1.70489 1.70523