Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122160759999000.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:
   -0.94*u + 0.09*v + 1.0*u^2 + -0.09*u*v + 0.08*v^2 <= 1.05
 and
   u in [-0.4,1.6]
   v in [-4.3,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1895
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 1887
Compressed Size938
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 unknown ❌ 82.92210 82.80150
cvc5 cvc5-fixed_default sat ✅ 356.34400 352.69200
Par4 Par4-wrapped-sq_default sat ✅ 0.01755 0.00643
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.10000 1203.69000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.10000 4695.74000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.03940 0.03942
Z3 z3-4.8.11_default sat ✅ 0.01938 0.01946
z3-4.8.8_default sat ✅ 0.03537 0.03537
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02600 0.02651
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.06334 0.06345
Par4 Par4-wrapped-sq_default sat ✅ 0.01854 0.00639
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01969 0.01967
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01532 0.01529
Z3alpha z3alpha_default sat ✅ 0.02378 0.02396
Z3++ z3++0715_default sat ✅ 0.28272 0.28280
Z3++_sq_0526_default sat ✅ 0.29538 0.29546