Benchmark

non-incremental/FP/20200911-Pine/1599122164820609000.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 + 0.24*v + 0.89*u^2 + -0.12*u*v + 0.07*v^2 <= 1.45
 and
   u in [-0.7,2.0]
   v in [-6.3,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4052
Compressed Size1212
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 4044
Compressed Size1224
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 ✅ 301.66600 301.63700
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.14248 4.26888
Z3 z3-4.8.11_default sat ✅ 346.35100 346.31100
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 278.63600 278.56800
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 31.81020 31.80940
cvc5 cvc5_default sat ✅ 22.33020 22.24880
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 11.52570 22.93570
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.83908 4.27623
Z3 z3-4.8.17_default sat ✅ 321.31300 321.23700
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 27.51670 27.51650
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 22.30990 22.30040
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.84664 4.32642
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 30.96240 30.85641
cvc5 cvc5 sat ✅ 18.22485 18.12470
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 31.57732 31.43345
cvc5 cvc5 sat ✅ 8.44549 8.31555
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 879.20177 883.05653