Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122161372272000.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:
   -0.95*u + 0.12*v + 1.0*u^2 + -0.07*u*v + 0.07*v^2 <= 1.05
 and
   u in [-0.5,1.7]
   v in [-4.8,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1939
Compressed Size929
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 1931
Compressed Size947
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 let9
/20 +10 -10 *20
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.60 (4/10) CVC4 CVC4-sq-final_default unknown ❌ 163.47700 163.44700
cvc5 cvc5-fixed_default sat ✅ 9.72972 9.72861
Par4 Par4-wrapped-sq_default sat ✅ 0.01796 0.00705
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.11000 1203.47000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.02000 4663.14000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.03917 0.03922
Z3 z3-4.8.11_default sat ✅ 0.01946 0.01957
z3-4.8.8_default sat ✅ 0.03495 0.03498
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02633 0.02682
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.04619 0.04627
Par4 Par4-wrapped-sq_default sat ✅ 0.01975 0.00626
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01911 0.01909
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01714 0.01711
Z3alpha z3alpha_default sat ✅ 0.02436 0.02446
Z3++ z3++0715_default sat ✅ 0.28708 0.28714
Z3++_sq_0526_default sat ✅ 0.29842 0.29852