Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122159553859000.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:
   -0.69*u + 0.02*v + 1.0*u^2 + -0.11*u*v + 0.06*v^2 <= 0.63
 and
   u in [-0.3,1.3]
   v in [-3.1,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1901
Compressed Size917
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 1893
Compressed Size931
Max. Term Depth15
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 =2 let7
/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 sat ✅ 9.00110 9.00168
cvc5 cvc5-fixed_default unknown ❌ 1200.08000 1199.97000
Par4 Par4-wrapped-sq_default sat ✅ 0.02328 0.00613
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.06000 1203.80000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.03000 4683.19000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.03844 0.03850
Z3 z3-4.8.11_default sat ✅ 0.01962 0.01973
z3-4.8.8_default sat ✅ 0.03561 0.03566
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02362 0.02419
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.04235 0.04239
Par4 Par4-wrapped-sq_default sat ✅ 0.01732 0.00631
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.02361 0.02355
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01547 0.01546
Z3alpha z3alpha_default sat ✅ 0.02487 0.02494
Z3++ z3++0715_default sat ✅ 0.27708 0.27714
Z3++_sq_0526_default sat ✅ 0.29117 0.29122