Benchmark

non-incremental/FP/20200911-Pine/1599121977418548000.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:
   -0.03*u + 0.02*v + 1.0*u^2 + 0.09*v^2 <= 0.89
 and
   u in [-1.0,1.0]
   v in [-3.2,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size3660
Compressed Size1168
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 3652
Compressed Size1176
Max. Term Depth27
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let23 fp22
fp.add8 fp.sub1 fp.mul16 fp.neg1
fp.leq10 fp.eq2 roundNearestTiesToEven25

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 21.14990 21.14750
cvc5 cvc5_default sat ✅ 10.88340 10.87760
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 9.38822 9.38767
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.83084 4.41939
Z3 z3-4.8.17_default sat ✅ 157.14500 157.13400
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 80.51560 80.50790
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 11.05980 11.05870
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.77822 4.20930
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 21.80452 21.69282
cvc5 cvc5 sat ✅ 7.93695 7.83731
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 11.39583 11.27119
cvc5 cvc5 sat ✅ 6.53504 6.41629
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 498.60063 501.65724