Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122166524024000.smt2

These benchmarks were generated while developing the tool Pine [1], which uses
CVC4/Z3 to check inductiveness of invariants. The work is described in [2].

[1] https://github.com/izycheva/pine
[2] A.Izycheva, E.Darulova, H.Seidl, SAS'20, "Counterexample- and Simulation-Guided Floating-Point Loop Invariant Synthesis"

 Loop:
   u' := u + 0.01 * v
   v' := v + 0.01 * (-0.5 * v - 9.81 * u)

 Input ranges:
   u in [0.0,0.0]
   v in [2.0,3.0]

 Invariant:
   -1.0*u + 0.25*v + 0.83*u^2 + -0.11*u*v + 0.06*v^2 <= 1.36
 and
   u in [-0.7,2.1]
   v in [-7.0,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1900
Compressed Size935
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2021-07-18
Generated ByAnastasiia Izycheva, Eva Darulova
Generated On2020-09-11 00:00:00
GeneratorPine (using Z3 Python API)
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unknown
Inferred Status sat
Size 1892
Compressed Size945
Max. Term Depth17
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 =2 let8
/18 +10 -10 *20
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.50 (5/10) CVC4 CVC4-sq-final_default sat ✅ 0.09748 0.09778
cvc5 cvc5-fixed_default sat ✅ 40.67070 40.66800
Par4 Par4-wrapped-sq_default sat ✅ 0.05511 0.00609
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.66000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.04000 4694.35000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.04306 0.04307
Z3 z3-4.8.11_default sat ✅ 0.02991 0.03000
z3-4.8.8_default sat ✅ 0.04483 0.04486
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.07101 0.07146
MathSAT MathSAT-5.6.8_default sat ✅ 3.95012 3.95023
NRA-LS NRA-LS-FINAL_default sat ✅ 0.06637 0.05331
Par4 Par4-wrapped-sq_default sat ✅ 0.04445 0.00675
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01747 0.01744
veriT veriT+raSAT+Redlog_default sat ✅ 0.03257 0.03254
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01832 0.01829
Z3 z3-4.8.17_default sat ✅ 0.02762 0.02946
Z3++ z3++0715_default sat ✅ 0.29353 0.29358
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.03017 0.03067
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.05727 0.05734
Par4 Par4-wrapped-sq_default sat ✅ 0.01759 0.00626
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03341 0.03338
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01637 0.01588
Z3alpha z3alpha_default sat ✅ 0.02449 0.02473
Z3++ z3++0715_default sat ✅ 0.28674 0.28684
Z3++_sq_0526_default sat ✅ 0.29183 0.29186