Benchmark

non-incremental/FP/20200911-Pine/1599121862636658000.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:
   x1' := x1 + 0.01 * x2
   x2' := -0.01 * x1 + 0.99 * x2

 Input ranges:
   x1 in [0.0,1.0]
   x2 in [0.0,1.0]

 Invariant:
   -1.0*x1 + -0.36*x2 + 0.87*x1^2 + 0.26*x1*x2 + 0.86*x2^2 <= 0.68
 and
   x1 in [-0.5,1.5]
   x2 in [-0.9,1.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size3959
Compressed Size1188
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 3951
Compressed Size1227
Max. Term Depth30
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let26 fp23
fp.add10 fp.mul19 fp.neg1 fp.leq10
fp.eq2 roundNearestTiesToEven29

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 92.62030 92.61140
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 748.99300 742.45000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.78141 4.33416
SMT-COMP 2025 0.33 (2/3) Bitwuzla Bitwuzla sat ✅ 11.56998 11.44239
cvc5 cvc5 sat ✅ 108.35179 108.20660
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.74425 1205.57078