Benchmark

non-incremental/FP/20200911-Pine/1599122160074078000.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:
   -0.68*u + 0.05*v + 1.0*u^2 + -0.12*u*v + 0.05*v^2 <= 0.62
 and
   u in [-0.4,1.3]
   v in [-3.7,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size3868
Compressed Size1208
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 3860
Compressed Size1238
Max. Term Depth29
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let25 fp22
fp.add10 fp.sub1 fp.mul18 fp.neg1
fp.leq10 fp.eq2 roundNearestTiesToEven29

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.33 (2/3) CVC4 CVC4-sq-final_default sat ✅ 10.19780 10.19510
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.10460 4.25976
Z3 z3-4.8.11_default sat ✅ 295.63300 295.53500
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 147.34900 147.32000
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 74.12680 74.11930
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 8.10804 8.10765
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.81322 4.38340
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 25.06648 24.94437
cvc5 cvc5 sat ✅ 8.24360 8.11104
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 647.71530 651.28798