Benchmark

non-incremental/FP/20200911-Pine/1599122161984448000.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:
   -0.93*u + 0.18*v + 1.0*u^2 + -0.11*u*v + 0.07*v^2 <= 1.21
 and
   u in [-0.6,1.7]
   v in [-5.3,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4060
Compressed Size1239
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 4052
Compressed Size1260
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 ✅ 113.57000 113.52300
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.54976 4.84226
Z3 z3-4.8.11_default sat ✅ 220.94300 220.83600
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 269.90500 269.84000
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 63.41880 63.38520
cvc5 cvc5_default sat ✅ 15.72330 15.72390
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 13.69210 13.69140
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.79053 4.22376
Z3 z3-4.8.17_default sat ✅ 213.62700 213.63300
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 8.02929 7.90606
cvc5 cvc5 sat ✅ 9.76715 9.63702
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 836.96720 840.61813