Benchmark

non-incremental/FP/20200911-Pine/1599121978946861000.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:
   -0.04*u + 0.03*v + 1.0*u^2 + 0.03*u*v + 0.12*v^2 <= 1.51
 and
   u in [-1.2,1.2]
   v in [-3.6,3.4]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4047
Compressed Size1216
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 4039
Compressed Size1228
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 ✅ 139.37500 139.34600
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.15187 4.22855
Z3 z3-4.8.11_default sat ✅ 328.38400 328.36900
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 26.85450 26.85470
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 27.02260 27.01870
cvc5 cvc5_default sat ✅ 52.31670 52.31060
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 189.30300 189.22600
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.79549 4.26380
Z3 z3-4.8.17_default sat ✅ 93.69850 93.69330
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 30.42830 30.42650
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 52.05310 52.05120
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.78614 4.26488
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 10.27935 10.15958
cvc5 cvc5 sat ✅ 39.91940 39.79962
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 400.58966 403.96350