Benchmark

non-incremental/FP/20200911-Pine/1599122160302695000.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:
   -0.77*u + 0.06*v + 1.0*u^2 + -0.11*u*v + 0.07*v^2 <= 0.88
 and
   u in [-0.4,1.4]
   v in [-3.9,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4058
Compressed Size1231
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 4050
Compressed Size1250
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 ✅ 8.43700 8.43652
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.10275 4.21807
Z3 z3-4.8.11_default sat ✅ 251.99200 251.93800
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 248.69300 248.52000
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 15.92830 15.92680
cvc5 cvc5_default sat ✅ 7.09561 7.09546
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 8.93228 8.93307
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.81352 4.23680
Z3 z3-4.8.17_default sat ✅ 180.68700 180.67500
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 19.26910 19.26630
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 9.77675 9.77151
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.82697 4.36794
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 22.84645 22.74523
cvc5 cvc5 sat ✅ 5.83132 5.73081
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 12.84305 12.71792
cvc5 cvc5 sat ✅ 4.83699 4.70868
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 750.38248 753.93936