Benchmark

non-incremental/FP/20200911-Pine/1599121684661950000.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:
   x' := x + 0.01 * (-2*x - 3*y + x*x)
   y' := y + 0.01 * (x + y)

 Input ranges:
   x in [0.0,0.1]
   y in [0.0,0.1]

 Invariant:
   -0.02*x + -0.09*y + 0.45*x^2 + 1.0*x*y + 0.82*y^2 <= 0.02
 and
   x in [-0.5,0.3]
   y in [-0.2,0.4]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4221
Compressed Size1256
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 None
Size 4213
Compressed Size1253
Max. Term Depth33
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let29 fp24
fp.add12 fp.sub1 fp.mul21 fp.neg1
fp.leq10 fp.eq2 roundNearestTiesToEven34

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 1.00 (0/3) CVC4 CVC4-sq-final_default unknown ❌ 1200.08000 1199.98000
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.14884 4.29625
Z3 z3-4.8.11_default unknown ❌ 1200.02000 1199.87000
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 1200.01000 1199.82000
SMT-COMP 2022 0.75 (1/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 738.78900 738.65800
cvc5 cvc5_default unknown ❌ 1200.02000 1198.35000
cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.02000 1196.19000
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.80695 4.28542
Z3 z3-4.8.17_default unknown ❌ 1200.03000 1199.87000
SMT-COMP 2024 0.50 (1/2) Bitwuzla Bitwuzla sat ✅ 662.50619 662.28032
cvc5 cvc5 unknown ❌ 1201.72454 1201.00509
SMT-COMP 2025 0.67 (1/3) Bitwuzla Bitwuzla sat ✅ 328.46286 328.27563
cvc5 cvc5 unknown ❌ 1201.75771 1200.97362
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.76965 1205.40419