Benchmark

non-incremental/FP/20200911-Pine/1599122165833645000.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:
   -1.0*u + 0.25*v + 0.86*u^2 + -0.11*u*v + 0.07*v^2 <= 1.44
 and
   u in [-0.7,2.0]
   v in [-6.3,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4046
Compressed Size1220
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 4038
Compressed Size1230
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 2021 0.33 (2/3) CVC4 CVC4-sq-final_default sat ✅ 265.79200 265.76600
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.11423 8.49738
Z3 z3-4.8.11_default sat ✅ 161.87400 161.81400
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 314.42400 314.41900
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 36.83407 36.73299
cvc5 cvc5 sat ✅ 129.44996 129.29790
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 12.24310 12.12316
cvc5 cvc5 sat ✅ 88.47516 88.32919
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 445.68132 448.86107