Benchmark

non-incremental/FP/20200911-Pine/1599122161453859000.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:
   -0.88*u + 0.15*v + 1.0*u^2 + -0.1*u*v + 0.07*v^2 <= 1.17
 and
   u in [-0.5,1.7]
   v in [-4.8,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4057
Compressed Size1231
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 4049
Compressed Size1247
Max. Term Depth31
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let27 fp24
fp.add10 fp.sub1 fp.mul20 fp.neg1
fp.leq10 fp.eq2 roundNearestTiesToEven31

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 0.86150 0.86135
cvc5 cvc5_default sat ✅ 19.42450 19.42080
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 17.46030 17.44930
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.82908 4.31400
Z3 z3-4.8.17_default sat ✅ 296.11900 296.03500
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 25.63070 25.62660
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 19.09770 19.09970
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.83786 4.43614
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 23.31058 23.20950
cvc5 cvc5 sat ✅ 11.33505 11.22772
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 19.32726 19.20303
cvc5 cvc5 sat ✅ 17.33747 17.20840
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 892.68626 896.64070