Benchmark

non-incremental/FP/20200911-Pine/1599121978333413000.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*v + 1.0*u^2 + 0.04*u*v + 0.11*v^2 <= 1.19
 and
   u in [-1.1,1.1]
   v in [-3.5,3.1]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size3776
Compressed Size1160
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 3768
Compressed Size1186
Max. Term Depth29
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let25 fp22
fp.add8 fp.sub1 fp.mul18 fp.neg1
fp.leq10 fp.eq2 roundNearestTiesToEven27

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.33 (2/3) CVC4 CVC4-sq-final_default sat ✅ 157.41500 157.37600
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.12097 4.27572
Z3 z3-4.8.11_default sat ✅ 285.56300 285.50500
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 241.28800 241.23700
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 38.13650 38.12870
cvc5 cvc5_default sat ✅ 69.07700 69.07670
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 14.22040 14.21430
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.81156 4.28038
Z3 z3-4.8.17_default sat ✅ 749.59900 749.42900
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 21.84100 21.83990
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 11.10430 11.10510
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.86030 4.43629
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 29.76299 29.65794
cvc5 cvc5 sat ✅ 31.68387 31.57249
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 89.97222 89.82040
cvc5 cvc5 sat ✅ 5.34572 5.22463
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 538.53215 541.93400