Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121977871504000.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:
   0.01*u + 0.03*v + 1.0*u^2 + 0.02*u*v + 0.09*v^2 <= 0.97
 and
   u in [-1.0,1.0]
   v in [-3.4,3.1]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1905
Compressed Size924
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 1897
Compressed Size931
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
/18 +10 -6 *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 ❌ 53.76010 53.72540
cvc5 cvc5-fixed_default sat ✅ 0.33327 0.33383
Par4 Par4-wrapped-sq_default sat ✅ 0.05998 0.00635
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.52000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.03000 4653.95000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.04385 0.04375
Z3 z3-4.8.11_default sat ✅ 0.02798 0.02807
z3-4.8.8_default sat ✅ 0.04376 0.04379
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.03624 0.03679
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.16606 0.16589
Par4 Par4-wrapped-sq_default sat ✅ 0.05422 0.00632
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.02545 0.02543
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.06104 0.06096
Z3alpha z3alpha_default sat ✅ 0.03497 0.03518
Z3++ z3++0715_default sat ✅ 0.29282 0.29287
Z3++_sq_0526_default sat ✅ 0.29652 0.29661